0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : vampire --mode casc -t %d %s 0.12/0.33 % Computer : n021.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % DateTime : Thu Jul 2 08:43:37 EDT 2020 0.12/0.33 % CPUTime : 0.19/0.40 % lrs-11_8_afr=on:afp=100000:afq=2.0:anc=none:bd=off:cond=on:gs=on:lma=on:nm=2:newcnf=on:nwc=3:stl=30:sac=on:sp=occurrence_6 on theBenchmark 1.21/1.40 % Time limit reached! 1.21/1.40 % ------------------------------ 1.21/1.40 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.21/1.40 % Termination reason: Time limit 1.21/1.40 % Termination phase: Saturation 1.21/1.40 1.21/1.40 % Memory used [KB]: 34924 1.21/1.40 % Time elapsed: 1.0000 s 1.21/1.40 % ------------------------------ 1.21/1.40 % ------------------------------ 1.25/1.46 % lrs+1011_5:1_acc=on:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 1.91/2.06 % Time limit reached! 1.91/2.06 % ------------------------------ 1.91/2.06 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.91/2.06 % Termination reason: Time limit 1.91/2.06 % Termination phase: Saturation 1.91/2.06 1.91/2.06 % Memory used [KB]: 19189 1.91/2.06 % Time elapsed: 0.600 s 1.91/2.06 % ------------------------------ 1.91/2.06 % ------------------------------ 1.92/2.12 % lrs+10_12_add=off:afp=100000:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_79 on theBenchmark 12.51/12.52 % Time limit reached! 12.51/12.52 % ------------------------------ 12.51/12.52 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 12.51/12.52 % Termination reason: Time limit 12.51/12.52 % Termination phase: Saturation 12.51/12.52 12.51/12.52 % Memory used [KB]: 149933 12.51/12.52 % Time elapsed: 10.400 s 12.51/12.52 % ------------------------------ 12.51/12.52 % ------------------------------ 12.51/12.56 % lrs+1004_5:4_aac=none:add=large:afp=100000:afq=1.4:anc=all_dependent:bd=off:cond=fast:gsp=input_only:gs=on:gsem=off:lma=on:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sp=occurrence:updr=off:uhcvi=on_99 on theBenchmark 21.91/21.76 % Refutation found. Thanks to Tanya! 21.91/21.76 % SZS status Theorem for theBenchmark 21.91/21.76 % SZS output start Proof for theBenchmark 21.91/21.78 fof(f391861,plain,( 21.91/21.78 $false), 21.91/21.78 inference(avatar_sat_refutation,[],[f2378,f20115,f20142,f31551,f31609,f31611,f37584,f38212,f114422,f114434,f114852,f114855,f114878,f114924,f114967,f123150,f125281,f193691,f196321,f196784,f197689,f197871,f197962,f203042,f203696,f204438,f205725,f207384,f213714,f234677,f236436,f236570,f244439,f254046,f258961,f260439,f265585,f265642,f266731,f267469,f271224,f271416,f271560,f272907,f273076,f273299,f273469,f273933,f274594,f275500,f280842,f280966,f294638,f328375,f329381,f333312,f339249,f349478,f352248,f366334,f374291,f374504,f375115,f375231,f376179,f377144,f377607,f377628,f377645,f378474,f378480,f391824])). 21.91/21.78 fof(f391824,plain,( 21.91/21.78 spl0_25256 | ~spl0_18082), 21.91/21.78 inference(avatar_split_clause,[],[f391823,f234675,f272252])). 21.91/21.78 fof(f272252,plain,( 21.91/21.78 spl0_25256 <=> mult(ld(a,c),b) = ld(a,mult(b,c))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_25256])])). 21.91/21.78 fof(f234675,plain,( 21.91/21.78 spl0_18082 <=> ! [X61] : ld(a,mult(b,c)) = ld(mult(X61,a),mult(X61,mult(b,c)))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_18082])])). 21.91/21.78 fof(f391823,plain,( 21.91/21.78 mult(ld(a,c),b) = ld(a,mult(b,c)) | ~spl0_18082), 21.91/21.78 inference(forward_demodulation,[],[f391822,f92313])). 21.91/21.78 fof(f92313,plain,( 21.91/21.78 ( ! [X17,X18,X16] : (mult(ld(X17,X16),X18) = ld(ld(X16,X17),X18)) )), 21.91/21.78 inference(superposition,[],[f92001,f20722])). 21.91/21.78 fof(f20722,plain,( 21.91/21.78 ( ! [X6,X7] : (ld(X6,X7) = ld(ld(X7,X6),unit)) )), 21.91/21.78 inference(superposition,[],[f22,f17778])). 21.91/21.78 fof(f17778,plain,( 21.91/21.78 ( ! [X2,X1] : (mult(X2,ld(ld(X1,X2),unit)) = X1) )), 21.91/21.78 inference(superposition,[],[f17724,f21])). 21.91/21.78 fof(f21,plain,( 21.91/21.78 ( ! [X0,X1] : (mult(X1,ld(X1,X0)) = X0) )), 21.91/21.78 inference(cnf_transformation,[],[f7])). 21.91/21.78 fof(f7,axiom,( 21.91/21.78 ! [X0,X1] : mult(X1,ld(X1,X0)) = X0), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01)). 21.91/21.78 fof(f17724,plain,( 21.91/21.78 ( ! [X277,X276] : (mult(mult(X277,X276),ld(X276,unit)) = X277) )), 21.91/21.78 inference(forward_demodulation,[],[f17624,f20])). 21.91/21.78 fof(f20,plain,( 21.91/21.78 ( ! [X0,X1] : (rd(mult(X1,X0),X0) = X1) )), 21.91/21.78 inference(cnf_transformation,[],[f2])). 21.91/21.78 fof(f2,axiom,( 21.91/21.78 ! [X0,X1] : rd(mult(X1,X0),X0) = X1), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04)). 21.91/21.78 fof(f17624,plain,( 21.91/21.78 ( ! [X277,X276] : (mult(mult(X277,X276),ld(X276,unit)) = rd(mult(X277,X276),X276)) )), 21.91/21.78 inference(superposition,[],[f384,f18])). 21.91/21.78 fof(f18,plain,( 21.91/21.78 ( ! [X0] : (mult(unit,X0) = X0) )), 21.91/21.78 inference(cnf_transformation,[],[f13])). 21.91/21.78 fof(f13,plain,( 21.91/21.78 ! [X0] : mult(unit,X0) = X0), 21.91/21.78 inference(rectify,[],[f8])). 21.91/21.78 fof(f8,axiom,( 21.91/21.78 ! [X1] : mult(unit,X1) = X1), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06)). 21.91/21.78 fof(f384,plain,( 21.91/21.78 ( ! [X4,X2,X3] : (mult(mult(X4,X2),ld(X2,X3)) = rd(mult(X4,mult(X3,X2)),X2)) )), 21.91/21.78 inference(superposition,[],[f57,f21])). 21.91/21.78 fof(f57,plain,( 21.91/21.78 ( ! [X6,X7,X5] : (mult(mult(X5,X6),X7) = rd(mult(X5,mult(mult(X6,X7),X6)),X6)) )), 21.91/21.78 inference(superposition,[],[f20,f23])). 21.91/21.78 fof(f23,plain,( 21.91/21.78 ( ! [X2,X0,X1] : (mult(X2,mult(mult(X1,X0),X1)) = mult(mult(mult(X2,X1),X0),X1)) )), 21.91/21.78 inference(cnf_transformation,[],[f14])). 21.91/21.78 fof(f14,plain,( 21.91/21.78 ! [X0,X1,X2] : mult(X2,mult(mult(X1,X0),X1)) = mult(mult(mult(X2,X1),X0),X1)), 21.91/21.78 inference(rectify,[],[f4])). 21.91/21.78 fof(f4,axiom,( 21.91/21.78 ! [X2,X0,X1] : mult(X1,mult(mult(X0,X2),X0)) = mult(mult(mult(X1,X0),X2),X0)), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07)). 21.91/21.78 fof(f22,plain,( 21.91/21.78 ( ! [X0,X1] : (ld(X1,mult(X1,X0)) = X0) )), 21.91/21.78 inference(cnf_transformation,[],[f1])). 21.91/21.78 fof(f1,axiom,( 21.91/21.78 ! [X0,X1] : ld(X1,mult(X1,X0)) = X0), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02)). 21.91/21.78 fof(f92001,plain,( 21.91/21.78 ( ! [X8,X7] : (mult(ld(X8,unit),X7) = ld(X8,X7)) )), 21.91/21.78 inference(forward_demodulation,[],[f92000,f17724])). 21.91/21.78 fof(f92000,plain,( 21.91/21.78 ( ! [X8,X7] : (mult(ld(X8,unit),X7) = mult(mult(ld(X8,X7),X8),ld(X8,unit))) )), 21.91/21.78 inference(forward_demodulation,[],[f91597,f25829])). 21.91/21.78 fof(f25829,plain,( 21.91/21.78 ( ! [X41,X42] : (mult(ld(X41,X42),X41) = mult(ld(X41,unit),mult(X42,X41))) )), 21.91/21.78 inference(forward_demodulation,[],[f25709,f18])). 21.91/21.78 fof(f25709,plain,( 21.91/21.78 ( ! [X41,X42] : (mult(mult(unit,ld(X41,X42)),X41) = mult(ld(X41,unit),mult(X42,X41))) )), 21.91/21.78 inference(superposition,[],[f464,f20718])). 21.91/21.78 fof(f20718,plain,( 21.91/21.78 ( ! [X75] : (ld(ld(X75,unit),unit) = X75) )), 21.91/21.78 inference(superposition,[],[f17778,f18])). 21.91/21.78 fof(f464,plain,( 21.91/21.78 ( ! [X4,X2,X3] : (mult(X2,mult(X4,ld(X2,X3))) = mult(mult(X3,ld(ld(X2,X3),X4)),ld(X2,X3))) )), 21.91/21.78 inference(superposition,[],[f47,f21])). 21.91/21.78 fof(f47,plain,( 21.91/21.78 ( ! [X4,X2,X3] : (mult(mult(X3,X4),ld(X2,X3)) = mult(X2,mult(mult(ld(X2,X3),X4),ld(X2,X3)))) )), 21.91/21.78 inference(superposition,[],[f23,f21])). 21.91/21.78 fof(f91597,plain,( 21.91/21.78 ( ! [X8,X7] : (mult(ld(X8,unit),X7) = mult(mult(ld(X8,unit),mult(X7,X8)),ld(X8,unit))) )), 21.91/21.78 inference(superposition,[],[f64312,f18066])). 21.91/21.78 fof(f18066,plain,( 21.91/21.78 ( ! [X19,X20] : (mult(X20,X19) = rd(X20,ld(X19,unit))) )), 21.91/21.78 inference(forward_demodulation,[],[f17889,f20])). 21.91/21.78 fof(f17889,plain,( 21.91/21.78 ( ! [X19,X20] : (rd(X20,ld(X19,unit)) = rd(mult(mult(X20,X19),ld(X19,unit)),ld(X19,unit))) )), 21.91/21.78 inference(superposition,[],[f205,f17724])). 21.91/21.78 fof(f205,plain,( 21.91/21.78 ( ! [X2,X0,X1] : (rd(X0,X1) = rd(mult(mult(X0,X2),X1),mult(mult(X1,X2),X1))) )), 21.91/21.78 inference(superposition,[],[f20,f49])). 21.91/21.78 fof(f49,plain,( 21.91/21.78 ( ! [X10,X11,X9] : (mult(mult(X9,X11),X10) = mult(rd(X9,X10),mult(mult(X10,X11),X10))) )), 21.91/21.78 inference(superposition,[],[f23,f19])). 21.91/21.78 fof(f19,plain,( 21.91/21.78 ( ! [X0,X1] : (mult(rd(X1,X0),X0) = X1) )), 21.91/21.78 inference(cnf_transformation,[],[f3])). 21.91/21.78 fof(f3,axiom,( 21.91/21.78 ! [X0,X1] : mult(rd(X1,X0),X0) = X1), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03)). 21.91/21.78 fof(f64312,plain,( 21.91/21.78 ( ! [X33,X34] : (mult(X33,X34) = mult(mult(X33,rd(X34,X33)),X33)) )), 21.91/21.78 inference(superposition,[],[f19,f64156])). 21.91/21.78 fof(f64156,plain,( 21.91/21.78 ( ! [X2,X3] : (mult(X3,rd(X2,X3)) = rd(mult(X3,X2),X3)) )), 21.91/21.78 inference(subsumption_resolution,[],[f64155,f38437])). 21.91/21.78 fof(f38437,plain,( 21.91/21.78 ( ! [X130,X131,X129] : (mult(X131,rd(X129,X130)) = rd(mult(X131,X129),X130) | mult(X130,rd(X129,X130)) = X129) )), 21.91/21.78 inference(forward_demodulation,[],[f38436,f17839])). 21.91/21.78 fof(f17839,plain,( 21.91/21.78 ( ! [X194,X193] : (mult(X193,ld(X194,unit)) = rd(X193,X194)) )), 21.91/21.78 inference(superposition,[],[f17724,f19])). 21.91/21.78 fof(f38436,plain,( 21.91/21.78 ( ! [X130,X131,X129] : (mult(X131,mult(X129,ld(X130,unit))) = rd(mult(X131,X129),X130) | mult(X130,rd(X129,X130)) = X129) )), 21.91/21.78 inference(forward_demodulation,[],[f38435,f21414])). 21.91/21.78 fof(f21414,plain,( 21.91/21.78 ( ! [X3] : (ld(X3,unit) = rd(unit,X3)) )), 21.91/21.78 inference(superposition,[],[f20718,f42])). 21.91/21.78 fof(f42,plain,( 21.91/21.78 ( ! [X4,X5] : (ld(rd(X4,X5),X4) = X5) )), 21.91/21.78 inference(superposition,[],[f22,f19])). 21.91/21.78 fof(f38435,plain,( 21.91/21.78 ( ! [X130,X131,X129] : (mult(X131,mult(X129,rd(unit,X130))) = rd(mult(X131,X129),X130) | mult(X130,rd(X129,X130)) = X129) )), 21.91/21.78 inference(forward_demodulation,[],[f38434,f18006])). 21.91/21.78 fof(f18006,plain,( 21.91/21.78 ( ! [X3,X1] : (mult(mult(X3,rd(unit,X1)),X1) = X3) )), 21.91/21.78 inference(forward_demodulation,[],[f17852,f408])). 21.91/21.78 fof(f408,plain,( 21.91/21.78 ( ! [X26,X27,X25] : (mult(mult(rd(X25,mult(mult(X26,X27),X26)),X26),X27) = rd(X25,X26)) )), 21.91/21.78 inference(superposition,[],[f57,f19])). 21.91/21.78 fof(f17852,plain,( 21.91/21.78 ( ! [X2,X3,X1] : (mult(mult(X3,mult(mult(rd(unit,mult(mult(X1,X2),X1)),X1),X2)),X1) = X3) )), 21.91/21.78 inference(superposition,[],[f17724,f346])). 21.91/21.78 fof(f346,plain,( 21.91/21.78 ( ! [X26,X27,X25] : (ld(mult(mult(rd(X25,mult(mult(X26,X27),X26)),X26),X27),X25) = X26) )), 21.91/21.78 inference(superposition,[],[f56,f19])). 21.91/21.78 fof(f56,plain,( 21.91/21.78 ( ! [X4,X2,X3] : (ld(mult(mult(X2,X3),X4),mult(X2,mult(mult(X3,X4),X3))) = X3) )), 21.91/21.78 inference(superposition,[],[f22,f23])). 21.91/21.78 fof(f38434,plain,( 21.91/21.78 ( ! [X130,X131,X129] : (mult(X130,rd(X129,X130)) = X129 | mult(X131,mult(X129,rd(unit,X130))) = rd(mult(X131,mult(mult(X129,rd(unit,X130)),X130)),X130)) )), 21.91/21.78 inference(forward_demodulation,[],[f38433,f17839])). 21.91/21.78 fof(f38433,plain,( 21.91/21.78 ( ! [X130,X131,X129] : (mult(X130,mult(X129,ld(X130,unit))) = X129 | mult(X131,mult(X129,rd(unit,X130))) = rd(mult(X131,mult(mult(X129,rd(unit,X130)),X130)),X130)) )), 21.91/21.78 inference(forward_demodulation,[],[f38432,f21414])). 21.91/21.78 fof(f38432,plain,( 21.91/21.78 ( ! [X130,X131,X129] : (mult(X130,mult(X129,rd(unit,X130))) = X129 | mult(X131,mult(X129,rd(unit,X130))) = rd(mult(X131,mult(mult(X129,rd(unit,X130)),X130)),X130)) )), 21.91/21.78 inference(forward_demodulation,[],[f38280,f22])). 21.91/21.78 fof(f38280,plain,( 21.91/21.78 ( ! [X130,X131,X129] : (mult(X130,mult(X129,rd(unit,X130))) = ld(X131,mult(X131,X129)) | mult(X131,mult(X129,rd(unit,X130))) = rd(mult(X131,mult(mult(X129,rd(unit,X130)),X130)),X130)) )), 21.91/21.78 inference(superposition,[],[f1961,f18006])). 21.91/21.78 fof(f1961,plain,( 21.91/21.78 ( ! [X41,X42,X40] : (mult(X41,X42) = ld(X40,mult(X40,mult(X42,X41))) | mult(X40,X42) = rd(mult(X40,mult(X42,X41)),X41)) )), 21.91/21.78 inference(superposition,[],[f22,f142])). 21.91/21.78 fof(f142,plain,( 21.91/21.78 ( ! [X30,X31,X29] : (mult(X29,mult(X30,X31)) = mult(X29,mult(X31,X30)) | mult(X29,X30) = rd(mult(X29,mult(X30,X31)),X31)) )), 21.91/21.78 inference(superposition,[],[f20,f27])). 21.91/21.78 fof(f27,plain,( 21.91/21.78 ( ! [X2,X0,X1] : (mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2) | mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1))) )), 21.91/21.78 inference(cnf_transformation,[],[f15])). 21.91/21.78 fof(f15,plain,( 21.91/21.78 ! [X0,X1,X2] : ((mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2) & mult(X0,mult(X2,X1)) = mult(mult(X0,X2),X1)) | (mult(mult(X0,X1),X2) = mult(mult(X0,X2),X1) & mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1))))), 21.91/21.78 inference(rectify,[],[f5])). 21.91/21.78 fof(f5,axiom,( 21.91/21.78 ! [X3,X4,X5] : ((mult(X3,mult(X4,X5)) = mult(mult(X3,X4),X5) & mult(X3,mult(X5,X4)) = mult(mult(X3,X5),X4)) | (mult(mult(X3,X4),X5) = mult(mult(X3,X5),X4) & mult(X3,mult(X4,X5)) = mult(X3,mult(X5,X4))))), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08)). 21.91/21.78 fof(f64155,plain,( 21.91/21.78 ( ! [X2,X3] : (mult(X3,rd(X2,X3)) = rd(mult(X3,X2),X3) | mult(X3,rd(X2,X3)) != X2) )), 21.91/21.78 inference(forward_demodulation,[],[f64154,f17839])). 21.91/21.78 fof(f64154,plain,( 21.91/21.78 ( ! [X2,X3] : (mult(X3,mult(X2,ld(X3,unit))) = rd(mult(X3,X2),X3) | mult(X3,rd(X2,X3)) != X2) )), 21.91/21.78 inference(forward_demodulation,[],[f64153,f17839])). 21.91/21.78 fof(f64153,plain,( 21.91/21.78 ( ! [X2,X3] : (mult(X3,rd(X2,X3)) != X2 | mult(X3,mult(X2,ld(X3,unit))) = mult(mult(X3,X2),ld(X3,unit))) )), 21.91/21.78 inference(forward_demodulation,[],[f64125,f18])). 21.91/21.78 fof(f64125,plain,( 21.91/21.78 ( ! [X2,X3] : (mult(unit,X2) != mult(X3,rd(X2,X3)) | mult(X3,mult(X2,ld(X3,unit))) = mult(mult(X3,X2),ld(X3,unit))) )), 21.91/21.78 inference(superposition,[],[f1226,f17839])). 21.91/21.78 fof(f1226,plain,( 21.91/21.78 ( ! [X4,X2,X3] : (mult(X3,X4) != mult(X2,mult(X4,ld(X2,X3))) | mult(X2,mult(X4,ld(X2,X3))) = mult(mult(X2,X4),ld(X2,X3))) )), 21.91/21.78 inference(superposition,[],[f99,f21])). 21.91/21.78 fof(f99,plain,( 21.91/21.78 ( ! [X2,X0,X1] : (mult(X0,mult(X1,X2)) != mult(mult(X0,X2),X1) | mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2)) )), 21.91/21.78 inference(equality_factoring,[],[f25])). 21.91/21.78 fof(f25,plain,( 21.91/21.78 ( ! [X2,X0,X1] : (mult(mult(X0,X1),X2) = mult(mult(X0,X2),X1) | mult(X0,mult(X1,X2)) = mult(mult(X0,X1),X2)) )), 21.91/21.78 inference(cnf_transformation,[],[f15])). 21.91/21.78 fof(f391822,plain,( 21.91/21.78 ld(ld(c,a),b) = ld(a,mult(b,c)) | ~spl0_18082), 21.91/21.78 inference(forward_demodulation,[],[f391821,f92001])). 21.91/21.78 fof(f391821,plain,( 21.91/21.78 ld(a,mult(b,c)) = ld(mult(ld(c,unit),a),b) | ~spl0_18082), 21.91/21.78 inference(forward_demodulation,[],[f391820,f93489])). 21.91/21.78 fof(f93489,plain,( 21.91/21.78 ( ! [X0,X1] : (ld(X0,unit) = rd(X1,mult(X0,X1))) )), 21.91/21.78 inference(superposition,[],[f92410,f22])). 21.91/21.78 fof(f92410,plain,( 21.91/21.78 ( ! [X136,X135] : (ld(X135,unit) = rd(ld(X135,X136),X136)) )), 21.91/21.78 inference(superposition,[],[f20,f92001])). 21.91/21.78 fof(f391820,plain,( 21.91/21.78 ld(a,mult(b,c)) = ld(mult(rd(b,mult(c,b)),a),b) | ~spl0_18082), 21.91/21.78 inference(forward_demodulation,[],[f391750,f56819])). 21.91/21.78 fof(f56819,plain,( 21.91/21.78 ( ! [X120,X119] : (rd(X120,mult(X119,X120)) = rd(ld(X119,X120),X120)) )), 21.91/21.78 inference(superposition,[],[f20,f20833])). 21.91/21.78 fof(f20833,plain,( 21.91/21.78 ( ! [X0,X1] : (mult(rd(ld(X1,X0),X0),mult(X1,X0)) = X0) )), 21.91/21.78 inference(forward_demodulation,[],[f20719,f18])). 21.91/21.78 fof(f20719,plain,( 21.91/21.78 ( ! [X0,X1] : (mult(unit,X0) = mult(rd(ld(X1,X0),X0),mult(X1,X0))) )), 21.91/21.78 inference(superposition,[],[f240,f17778])). 21.91/21.78 fof(f240,plain,( 21.91/21.78 ( ! [X30,X28,X29] : (mult(X30,X29) = mult(rd(X28,X29),mult(mult(X29,ld(X28,X30)),X29))) )), 21.91/21.78 inference(superposition,[],[f53,f19])). 21.91/21.78 fof(f53,plain,( 21.91/21.78 ( ! [X6,X7,X5] : (mult(X7,X6) = mult(X5,mult(mult(X6,ld(mult(X5,X6),X7)),X6))) )), 21.91/21.78 inference(superposition,[],[f23,f21])). 21.91/21.78 fof(f391750,plain,( 21.91/21.78 ld(a,mult(b,c)) = ld(mult(rd(ld(c,b),b),a),b) | ~spl0_18082), 21.91/21.78 inference(superposition,[],[f234676,f56729])). 21.91/21.78 fof(f56729,plain,( 21.91/21.78 mult(rd(ld(c,b),b),mult(b,c)) = b), 21.91/21.78 inference(superposition,[],[f20833,f152])). 21.91/21.78 fof(f152,plain,( 21.91/21.78 mult(b,c) = mult(c,b)), 21.91/21.78 inference(forward_demodulation,[],[f149,f22])). 21.91/21.78 fof(f149,plain,( 21.91/21.78 mult(c,b) = ld(a,mult(a,mult(b,c)))), 21.91/21.78 inference(superposition,[],[f22,f144])). 21.91/21.78 fof(f144,plain,( 21.91/21.78 mult(a,mult(b,c)) = mult(a,mult(c,b))), 21.91/21.78 inference(trivial_inequality_removal,[],[f132])). 21.91/21.78 fof(f132,plain,( 21.91/21.78 mult(a,mult(b,c)) != mult(a,mult(b,c)) | mult(a,mult(b,c)) = mult(a,mult(c,b))), 21.91/21.78 inference(superposition,[],[f16,f27])). 21.91/21.78 fof(f16,plain,( 21.91/21.78 mult(mult(a,b),c) != mult(a,mult(b,c))), 21.91/21.78 inference(cnf_transformation,[],[f11])). 21.91/21.78 fof(f11,plain,( 21.91/21.78 mult(mult(a,b),c) != mult(a,mult(b,c))), 21.91/21.78 inference(flattening,[],[f10])). 21.91/21.78 fof(f10,negated_conjecture,( 21.91/21.78 ~mult(mult(a,b),c) = mult(a,mult(b,c))), 21.91/21.78 inference(negated_conjecture,[],[f9])). 21.91/21.78 fof(f9,conjecture,( 21.91/21.78 mult(mult(a,b),c) = mult(a,mult(b,c))), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)). 21.91/21.78 fof(f234676,plain,( 21.91/21.78 ( ! [X61] : (ld(a,mult(b,c)) = ld(mult(X61,a),mult(X61,mult(b,c)))) ) | ~spl0_18082), 21.91/21.78 inference(avatar_component_clause,[],[f234675])). 21.91/21.78 fof(f378480,plain,( 21.91/21.78 spl0_564 | ~spl0_16600), 21.91/21.78 inference(avatar_split_clause,[],[f374451,f222435,f328380])). 21.91/21.78 fof(f328380,plain,( 21.91/21.78 spl0_564 <=> mult(a,mult(b,c)) = mult(c,mult(a,b))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_564])])). 21.91/21.78 fof(f222435,plain,( 21.91/21.78 spl0_16600 <=> mult(a,b) = mult(mult(ld(c,a),b),c)), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_16600])])). 21.91/21.78 fof(f374451,plain,( 21.91/21.78 mult(a,mult(b,c)) = mult(c,mult(a,b)) | ~spl0_16600), 21.91/21.78 inference(forward_demodulation,[],[f374450,f28])). 21.91/21.78 fof(f28,plain,( 21.91/21.78 ( ! [X2] : (rd(X2,unit) = X2) )), 21.91/21.78 inference(superposition,[],[f19,f17])). 21.91/21.78 fof(f17,plain,( 21.91/21.78 ( ! [X0] : (mult(X0,unit) = X0) )), 21.91/21.78 inference(cnf_transformation,[],[f12])). 21.91/21.78 fof(f12,plain,( 21.91/21.78 ! [X0] : mult(X0,unit) = X0), 21.91/21.78 inference(rectify,[],[f6])). 21.91/21.78 fof(f6,axiom,( 21.91/21.78 ! [X1] : mult(X1,unit) = X1), 21.91/21.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05)). 21.91/21.78 fof(f374450,plain,( 21.91/21.78 mult(a,mult(b,c)) = mult(rd(c,unit),mult(a,b)) | ~spl0_16600), 21.91/21.78 inference(forward_demodulation,[],[f374449,f92989])). 21.91/21.78 fof(f92989,plain,( 21.91/21.78 ( ! [X327,X329,X328] : (mult(X327,mult(X329,X328)) = mult(mult(X328,mult(ld(X328,X327),X329)),X328)) )), 21.91/21.78 inference(forward_demodulation,[],[f92988,f92313])). 21.91/21.78 fof(f92988,plain,( 21.91/21.78 ( ! [X327,X329,X328] : (mult(X327,mult(X329,X328)) = mult(mult(X328,ld(ld(X327,X328),X329)),X328)) )), 21.91/21.78 inference(forward_demodulation,[],[f92457,f92719])). 21.91/21.78 fof(f92719,plain,( 21.91/21.78 ( ! [X5,X3] : (mult(X3,X5) = ld(ld(X3,unit),X5)) )), 21.91/21.78 inference(forward_demodulation,[],[f92718,f21414])). 21.91/21.78 fof(f92718,plain,( 21.91/21.78 ( ! [X5,X3] : (mult(X3,X5) = ld(rd(unit,X3),X5)) )), 21.91/21.78 inference(forward_demodulation,[],[f92308,f408])). 21.91/21.78 fof(f92308,plain,( 21.91/21.78 ( ! [X4,X5,X3] : (mult(X3,X5) = ld(mult(mult(rd(unit,mult(mult(X3,X4),X3)),X3),X4),X5)) )), 21.91/21.78 inference(superposition,[],[f92001,f346])). 21.91/21.78 fof(f92457,plain,( 21.91/21.78 ( ! [X327,X329,X328] : (mult(mult(X328,ld(ld(X327,X328),X329)),X328) = ld(ld(X327,unit),mult(X329,X328))) )), 21.91/21.78 inference(superposition,[],[f257,f92001])). 21.91/21.78 fof(f257,plain,( 21.91/21.78 ( ! [X4,X5,X3] : (mult(mult(X4,ld(mult(X3,X4),X5)),X4) = ld(X3,mult(X5,X4))) )), 21.91/21.78 inference(superposition,[],[f22,f53])). 21.91/21.78 fof(f374449,plain,( 21.91/21.78 mult(rd(c,unit),mult(a,b)) = mult(mult(c,mult(ld(c,a),b)),c) | ~spl0_16600), 21.91/21.78 inference(forward_demodulation,[],[f374323,f101227])). 21.91/21.78 fof(f101227,plain,( 21.91/21.78 ( ! [X39,X41,X40] : (mult(rd(X40,X39),X41) = ld(rd(X39,X40),X41)) )), 21.91/21.78 inference(superposition,[],[f92001,f93644])). 21.91/21.78 fof(f93644,plain,( 21.91/21.78 ( ! [X24,X23] : (ld(rd(X23,X24),unit) = rd(X24,X23)) )), 21.91/21.78 inference(forward_demodulation,[],[f93498,f408])). 21.91/21.78 fof(f93498,plain,( 21.91/21.78 ( ! [X24,X23,X25] : (ld(mult(mult(rd(X23,mult(mult(X24,X25),X24)),X24),X25),unit) = rd(X24,X23)) )), 21.91/21.78 inference(superposition,[],[f92410,f346])). 21.91/21.78 fof(f374323,plain,( 21.91/21.78 mult(mult(c,mult(ld(c,a),b)),c) = ld(rd(unit,c),mult(a,b)) | ~spl0_16600), 21.91/21.78 inference(superposition,[],[f14719,f222436])). 21.91/21.78 fof(f222436,plain,( 21.91/21.78 mult(a,b) = mult(mult(ld(c,a),b),c) | ~spl0_16600), 21.91/21.78 inference(avatar_component_clause,[],[f222435])). 21.91/21.78 fof(f14719,plain,( 21.91/21.78 ( ! [X271,X272] : (mult(mult(X272,X271),X272) = ld(rd(unit,X272),mult(X271,X272))) )), 21.91/21.78 inference(superposition,[],[f206,f18])). 21.91/21.78 fof(f206,plain,( 21.91/21.78 ( ! [X4,X5,X3] : (mult(mult(X4,X5),X4) = ld(rd(X3,X4),mult(mult(X3,X5),X4))) )), 21.91/21.78 inference(superposition,[],[f22,f49])). 21.91/21.78 fof(f378474,plain,( 21.91/21.78 spl0_16600 | ~spl0_20228), 21.91/21.78 inference(avatar_split_clause,[],[f374282,f249305,f222435])). 21.91/21.78 fof(f249305,plain,( 21.91/21.78 spl0_20228 <=> ld(a,mult(mult(ld(c,a),b),c)) = b), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_20228])])). 21.91/21.78 fof(f374282,plain,( 21.91/21.78 mult(a,b) = mult(mult(ld(c,a),b),c) | ~spl0_20228), 21.91/21.78 inference(forward_demodulation,[],[f374281,f18])). 21.91/21.78 fof(f374281,plain,( 21.91/21.78 mult(a,mult(unit,b)) = mult(mult(ld(c,a),b),c) | ~spl0_20228), 21.91/21.78 inference(forward_demodulation,[],[f374280,f40])). 21.91/21.78 fof(f40,plain,( 21.91/21.78 ( ! [X0] : (ld(X0,X0) = unit) )), 21.91/21.78 inference(superposition,[],[f22,f17])). 21.91/21.78 fof(f374280,plain,( 21.91/21.78 mult(mult(ld(c,a),b),c) = mult(a,mult(ld(a,a),b)) | ~spl0_20228), 21.91/21.78 inference(forward_demodulation,[],[f374135,f129819])). 21.91/21.78 fof(f129819,plain,( 21.91/21.78 ( ! [X97,X98,X96] : (mult(X98,mult(ld(X98,X96),X97)) = mult(mult(X96,X98),ld(X98,X97))) )), 21.91/21.78 inference(forward_demodulation,[],[f129818,f92313])). 21.91/21.78 fof(f129818,plain,( 21.91/21.78 ( ! [X97,X98,X96] : (mult(X98,ld(ld(X96,X98),X97)) = mult(mult(X96,X98),ld(X98,X97))) )), 21.91/21.78 inference(forward_demodulation,[],[f129817,f92001])). 21.91/21.78 fof(f129817,plain,( 21.91/21.78 ( ! [X97,X98,X96] : (mult(mult(X96,X98),ld(X98,X97)) = mult(X98,ld(mult(ld(X96,unit),X98),X97))) )), 21.91/21.78 inference(forward_demodulation,[],[f129479,f384])). 21.91/21.78 fof(f129479,plain,( 21.91/21.78 ( ! [X97,X98,X96] : (mult(X98,ld(mult(ld(X96,unit),X98),X97)) = rd(mult(X96,mult(X97,X98)),X98)) )), 21.91/21.78 inference(superposition,[],[f16222,f92719])). 21.91/21.78 fof(f16222,plain,( 21.91/21.78 ( ! [X146,X144,X145] : (mult(X144,ld(mult(X145,X144),X146)) = rd(ld(X145,mult(X146,X144)),X144)) )), 21.91/21.78 inference(superposition,[],[f20,f257])). 21.91/21.78 fof(f374135,plain,( 21.91/21.78 mult(mult(ld(c,a),b),c) = mult(mult(a,a),ld(a,b)) | ~spl0_20228), 21.91/21.78 inference(superposition,[],[f111142,f249306])). 21.91/21.78 fof(f249306,plain,( 21.91/21.78 ld(a,mult(mult(ld(c,a),b),c)) = b | ~spl0_20228), 21.91/21.78 inference(avatar_component_clause,[],[f249305])). 21.91/21.78 fof(f111142,plain,( 21.91/21.78 ( ! [X66,X65] : (mult(mult(X65,X65),ld(X65,ld(X65,X66))) = X66) )), 21.91/21.78 inference(forward_demodulation,[],[f110910,f20])). 21.91/21.78 fof(f110910,plain,( 21.91/21.78 ( ! [X66,X65] : (mult(mult(X65,X65),ld(X65,ld(X65,X66))) = rd(mult(X66,X65),X65)) )), 21.91/21.78 inference(superposition,[],[f384,f95291])). 21.91/21.78 fof(f95291,plain,( 21.91/21.78 ( ! [X901,X900] : (mult(X901,X900) = mult(X900,mult(ld(X900,X901),X900))) )), 21.91/21.78 inference(forward_demodulation,[],[f95290,f42])). 21.91/21.78 fof(f95290,plain,( 21.91/21.78 ( ! [X901,X900] : (mult(X901,X900) = mult(ld(rd(unit,X900),unit),mult(ld(X900,X901),X900))) )), 21.91/21.78 inference(forward_demodulation,[],[f95289,f93489])). 21.91/21.78 fof(f95289,plain,( 21.91/21.78 ( ! [X901,X900] : (mult(X901,X900) = mult(rd(mult(X901,X900),mult(rd(unit,X900),mult(X901,X900))),mult(ld(X900,X901),X900))) )), 21.91/21.78 inference(forward_demodulation,[],[f94702,f56819])). 21.91/21.78 fof(f94702,plain,( 21.91/21.78 ( ! [X901,X900] : (mult(X901,X900) = mult(rd(ld(rd(unit,X900),mult(X901,X900)),mult(X901,X900)),mult(ld(X900,X901),X900))) )), 21.91/21.78 inference(superposition,[],[f20833,f13775])). 21.91/21.78 fof(f13775,plain,( 21.91/21.78 ( ! [X144,X143] : (mult(ld(X143,X144),X143) = mult(rd(unit,X143),mult(X144,X143))) )), 21.91/21.78 inference(superposition,[],[f190,f18])). 21.91/21.78 fof(f190,plain,( 21.91/21.78 ( ! [X4,X2,X3] : (mult(mult(X4,ld(X2,X3)),X2) = mult(rd(X4,X2),mult(X3,X2))) )), 21.91/21.78 inference(superposition,[],[f49,f21])). 21.91/21.78 fof(f377645,plain,( 21.91/21.78 spl0_984 | ~spl0_16738 | ~spl0_26156), 21.91/21.78 inference(avatar_split_clause,[],[f327857,f280964,f223195,f37559])). 21.91/21.78 fof(f37559,plain,( 21.91/21.78 spl0_984 <=> ld(mult(a,b),mult(c,mult(a,b))) = c), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_984])])). 21.91/21.78 fof(f223195,plain,( 21.91/21.78 spl0_16738 <=> mult(a,b) = mult(b,a)), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_16738])])). 21.91/21.78 fof(f280964,plain,( 21.91/21.78 spl0_26156 <=> mult(b,a) = mult(mult(c,mult(b,a)),ld(c,unit))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_26156])])). 21.91/21.78 fof(f327857,plain,( 21.91/21.78 ld(mult(a,b),mult(c,mult(a,b))) = c | (~spl0_16738 | ~spl0_26156)), 21.91/21.78 inference(forward_demodulation,[],[f327856,f223196])). 21.91/21.78 fof(f223196,plain,( 21.91/21.78 mult(a,b) = mult(b,a) | ~spl0_16738), 21.91/21.78 inference(avatar_component_clause,[],[f223195])). 21.91/21.78 fof(f327856,plain,( 21.91/21.78 ld(mult(b,a),mult(c,mult(b,a))) = c | ~spl0_26156), 21.91/21.78 inference(forward_demodulation,[],[f327855,f19])). 21.91/21.78 fof(f327855,plain,( 21.91/21.78 ld(mult(b,a),mult(rd(mult(c,mult(b,a)),c),c)) = c | ~spl0_26156), 21.91/21.78 inference(forward_demodulation,[],[f327842,f18])). 21.91/21.78 fof(f327842,plain,( 21.91/21.78 ld(mult(b,a),mult(rd(mult(c,mult(b,a)),c),mult(unit,c))) = c | ~spl0_26156), 21.91/21.78 inference(superposition,[],[f13859,f280965])). 21.91/21.78 fof(f280965,plain,( 21.91/21.78 mult(b,a) = mult(mult(c,mult(b,a)),ld(c,unit)) | ~spl0_26156), 21.91/21.78 inference(avatar_component_clause,[],[f280964])). 21.91/21.78 fof(f13859,plain,( 21.91/21.78 ( ! [X146,X147,X148] : (ld(mult(X146,ld(X147,X148)),mult(rd(X146,X147),mult(X148,X147))) = X147) )), 21.91/21.78 inference(superposition,[],[f22,f190])). 21.91/21.78 fof(f377628,plain,( 21.91/21.78 spl0_23042 | ~spl0_31172), 21.91/21.78 inference(avatar_split_clause,[],[f360218,f339247,f260316])). 21.91/21.78 fof(f260316,plain,( 21.91/21.78 spl0_23042 <=> mult(a,b) = mult(c,mult(ld(c,a),b))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_23042])])). 21.91/21.78 fof(f339247,plain,( 21.91/21.78 spl0_31172 <=> ld(mult(b,c),a) = ld(b,ld(c,a))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_31172])])). 21.91/21.78 fof(f360218,plain,( 21.91/21.78 mult(a,b) = mult(c,mult(ld(c,a),b)) | ~spl0_31172), 21.91/21.78 inference(forward_demodulation,[],[f360177,f95291])). 21.91/21.78 fof(f360177,plain,( 21.91/21.78 mult(a,b) = mult(c,mult(b,mult(ld(b,ld(c,a)),b))) | ~spl0_31172), 21.91/21.78 inference(superposition,[],[f101597,f339248])). 21.91/21.78 fof(f339248,plain,( 21.91/21.78 ld(mult(b,c),a) = ld(b,ld(c,a)) | ~spl0_31172), 21.91/21.78 inference(avatar_component_clause,[],[f339247])). 21.91/21.78 fof(f101597,plain,( 21.91/21.78 ( ! [X94] : (mult(X94,b) = mult(c,mult(b,mult(ld(mult(b,c),X94),b)))) )), 21.91/21.78 inference(forward_demodulation,[],[f101596,f92313])). 21.91/21.78 fof(f101596,plain,( 21.91/21.78 ( ! [X94] : (mult(X94,b) = mult(c,mult(b,ld(ld(X94,mult(b,c)),b)))) )), 21.91/21.78 inference(forward_demodulation,[],[f101595,f92001])). 21.91/21.78 fof(f101595,plain,( 21.91/21.78 ( ! [X94] : (mult(X94,b) = mult(c,mult(b,mult(ld(ld(X94,mult(b,c)),unit),b)))) )), 21.91/21.78 inference(forward_demodulation,[],[f101416,f91605])). 21.91/21.78 fof(f91605,plain,( 21.91/21.78 ( ! [X26,X27] : (mult(X27,mult(X26,X27)) = mult(mult(X27,X26),X27)) )), 21.91/21.78 inference(superposition,[],[f64312,f20])). 21.91/21.78 fof(f101416,plain,( 21.91/21.78 ( ! [X94] : (mult(X94,b) = mult(c,mult(mult(b,ld(ld(X94,mult(b,c)),unit)),b))) )), 21.91/21.78 inference(superposition,[],[f224,f17778])). 21.91/21.78 fof(f224,plain,( 21.91/21.78 ( ! [X0] : (mult(mult(mult(b,c),X0),b) = mult(c,mult(mult(b,X0),b))) )), 21.91/21.78 inference(superposition,[],[f23,f152])). 21.91/21.78 fof(f377607,plain,( 21.91/21.78 spl0_15958 | ~spl0_25256), 21.91/21.78 inference(avatar_split_clause,[],[f350212,f272252,f214593])). 21.91/21.78 fof(f214593,plain,( 21.91/21.78 spl0_15958 <=> rd(mult(b,c),mult(ld(a,c),b)) = a), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_15958])])). 21.91/21.78 fof(f350212,plain,( 21.91/21.78 rd(mult(b,c),mult(ld(a,c),b)) = a | ~spl0_25256), 21.91/21.78 inference(superposition,[],[f37,f272253])). 21.91/21.78 fof(f272253,plain,( 21.91/21.78 mult(ld(a,c),b) = ld(a,mult(b,c)) | ~spl0_25256), 21.91/21.78 inference(avatar_component_clause,[],[f272252])). 21.91/21.78 fof(f37,plain,( 21.91/21.78 ( ! [X0,X1] : (rd(X1,ld(X0,X1)) = X0) )), 21.91/21.78 inference(superposition,[],[f20,f21])). 21.91/21.78 fof(f377144,plain,( 21.91/21.78 spl0_16738 | ~spl0_23356), 21.91/21.78 inference(avatar_split_clause,[],[f282046,f262513,f223195])). 21.91/21.78 fof(f262513,plain,( 21.91/21.78 spl0_23356 <=> mult(ld(b,a),b) = a), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_23356])])). 21.91/21.78 fof(f282046,plain,( 21.91/21.78 mult(a,b) = mult(b,a) | ~spl0_23356), 21.91/21.78 inference(superposition,[],[f95291,f262514])). 21.91/21.78 fof(f262514,plain,( 21.91/21.78 mult(ld(b,a),b) = a | ~spl0_23356), 21.91/21.78 inference(avatar_component_clause,[],[f262513])). 21.91/21.78 fof(f376179,plain,( 21.91/21.78 spl0_23356 | ~spl0_30126), 21.91/21.78 inference(avatar_split_clause,[],[f376178,f331253,f262513])). 21.91/21.78 fof(f331253,plain,( 21.91/21.78 spl0_30126 <=> ld(mult(ld(b,a),b),mult(a,c)) = c), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_30126])])). 21.91/21.78 fof(f376178,plain,( 21.91/21.78 mult(ld(b,a),b) = a | ~spl0_30126), 21.91/21.78 inference(forward_demodulation,[],[f376177,f20])). 21.91/21.78 fof(f376177,plain,( 21.91/21.78 mult(ld(b,a),b) = rd(mult(a,c),c) | ~spl0_30126), 21.91/21.78 inference(forward_demodulation,[],[f376176,f18])). 21.91/21.78 fof(f376176,plain,( 21.91/21.78 mult(ld(b,a),b) = rd(mult(a,c),mult(unit,c)) | ~spl0_30126), 21.91/21.78 inference(forward_demodulation,[],[f376080,f21419])). 21.91/21.78 fof(f21419,plain,( 21.91/21.78 ( ! [X3] : (mult(ld(X3,unit),X3) = unit) )), 21.91/21.78 inference(superposition,[],[f21,f20718])). 21.91/21.78 fof(f376080,plain,( 21.91/21.78 ( ! [X11] : (mult(ld(b,a),b) = rd(mult(a,c),mult(mult(ld(X11,unit),X11),c))) ) | ~spl0_30126), 21.91/21.78 inference(superposition,[],[f18256,f331254])). 21.91/21.78 fof(f331254,plain,( 21.91/21.78 ld(mult(ld(b,a),b),mult(a,c)) = c | ~spl0_30126), 21.91/21.78 inference(avatar_component_clause,[],[f331253])). 21.91/21.78 fof(f18256,plain,( 21.91/21.78 ( ! [X329,X328,X330] : (rd(X328,mult(mult(ld(X329,unit),X329),ld(X330,X328))) = X330) )), 21.91/21.78 inference(forward_demodulation,[],[f18255,f19])). 21.91/21.78 fof(f18255,plain,( 21.91/21.78 ( ! [X329,X328,X330] : (rd(X328,mult(mult(ld(X329,unit),X329),ld(mult(rd(X330,X329),X329),X328))) = X330) )), 21.91/21.78 inference(forward_demodulation,[],[f18254,f18])). 21.91/21.78 fof(f18254,plain,( 21.91/21.78 ( ! [X329,X328,X330] : (rd(X328,mult(mult(ld(X329,unit),X329),ld(mult(rd(X330,X329),mult(unit,X329)),X328))) = X330) )), 21.91/21.78 inference(forward_demodulation,[],[f18253,f190])). 21.91/21.78 fof(f18253,plain,( 21.91/21.78 ( ! [X329,X328,X330] : (rd(X328,mult(mult(ld(X329,unit),X329),ld(mult(mult(X330,ld(X329,unit)),X329),X328))) = X330) )), 21.91/21.78 inference(forward_demodulation,[],[f18252,f16190])). 21.91/21.78 fof(f16190,plain,( 21.91/21.78 ( ! [X28,X26,X29,X27] : (mult(mult(X29,X26),ld(mult(X27,X26),X28)) = rd(mult(X29,ld(X27,mult(X28,X26))),X26)) )), 21.91/21.78 inference(superposition,[],[f57,f257])). 21.91/21.78 fof(f18252,plain,( 21.91/21.78 ( ! [X329,X328,X330] : (rd(X328,rd(mult(ld(X329,unit),ld(mult(X330,ld(X329,unit)),mult(X328,X329))),X329)) = X330) )), 21.91/21.78 inference(forward_demodulation,[],[f17989,f17839])). 21.91/21.78 fof(f17989,plain,( 21.91/21.78 ( ! [X329,X328,X330] : (rd(X328,mult(mult(ld(X329,unit),ld(mult(X330,ld(X329,unit)),mult(X328,X329))),ld(X329,unit))) = X330) )), 21.91/21.78 inference(superposition,[],[f256,f17724])). 21.91/21.78 fof(f256,plain,( 21.91/21.78 ( ! [X2,X0,X1] : (rd(mult(X2,X1),mult(mult(X1,ld(mult(X0,X1),X2)),X1)) = X0) )), 21.91/21.78 inference(superposition,[],[f20,f53])). 21.91/21.78 fof(f375231,plain,( 21.91/21.78 spl0_30126 | ~spl0_23906), 21.91/21.78 inference(avatar_split_clause,[],[f289289,f265412,f331253])). 21.91/21.78 fof(f265412,plain,( 21.91/21.78 spl0_23906 <=> ! [X718] : ld(mult(X718,mult(a,b)),mult(X718,mult(b,mult(a,c)))) = c), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_23906])])). 21.91/21.78 fof(f289289,plain,( 21.91/21.78 ld(mult(ld(b,a),b),mult(a,c)) = c | ~spl0_23906), 21.91/21.78 inference(forward_demodulation,[],[f289288,f93570])). 21.91/21.78 fof(f93570,plain,( 21.91/21.78 ( ! [X4,X3] : (mult(ld(X3,unit),mult(X3,X4)) = X4) )), 21.91/21.78 inference(superposition,[],[f20833,f92410])). 21.91/21.78 fof(f289288,plain,( 21.91/21.78 ld(mult(ld(b,a),b),mult(ld(b,unit),mult(b,mult(a,c)))) = c | ~spl0_23906), 21.91/21.78 inference(forward_demodulation,[],[f289254,f21414])). 21.91/21.78 fof(f289254,plain,( 21.91/21.78 ld(mult(ld(b,a),b),mult(rd(unit,b),mult(b,mult(a,c)))) = c | ~spl0_23906), 21.91/21.78 inference(superposition,[],[f265413,f13775])). 21.91/21.78 fof(f265413,plain,( 21.91/21.78 ( ! [X718] : (ld(mult(X718,mult(a,b)),mult(X718,mult(b,mult(a,c)))) = c) ) | ~spl0_23906), 21.91/21.78 inference(avatar_component_clause,[],[f265412])). 21.91/21.78 fof(f375115,plain,( 21.91/21.78 spl0_23906 | ~spl0_546 | ~spl0_558), 21.91/21.78 inference(avatar_split_clause,[],[f375053,f20131,f20051,f265412])). 21.91/21.78 fof(f20051,plain,( 21.91/21.78 spl0_546 <=> mult(mult(a,b),c) = mult(b,mult(a,c))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_546])])). 21.91/21.78 fof(f20131,plain,( 21.91/21.78 spl0_558 <=> ! [X718] : ld(mult(X718,mult(a,b)),mult(X718,mult(mult(a,b),c))) = c), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_558])])). 21.91/21.78 fof(f375053,plain,( 21.91/21.78 ( ! [X0] : (ld(mult(X0,mult(a,b)),mult(X0,mult(b,mult(a,c)))) = c) ) | (~spl0_546 | ~spl0_558)), 21.91/21.78 inference(superposition,[],[f20132,f20052])). 21.91/21.78 fof(f20052,plain,( 21.91/21.78 mult(mult(a,b),c) = mult(b,mult(a,c)) | ~spl0_546), 21.91/21.78 inference(avatar_component_clause,[],[f20051])). 21.91/21.78 fof(f20132,plain,( 21.91/21.78 ( ! [X718] : (ld(mult(X718,mult(a,b)),mult(X718,mult(mult(a,b),c))) = c) ) | ~spl0_558), 21.91/21.78 inference(avatar_component_clause,[],[f20131])). 21.91/21.78 fof(f374504,plain,( 21.91/21.78 spl0_984 | ~spl0_16600 | ~spl0_23042), 21.91/21.78 inference(avatar_split_clause,[],[f374503,f260316,f222435,f37559])). 21.91/21.78 fof(f374503,plain,( 21.91/21.78 ld(mult(a,b),mult(c,mult(a,b))) = c | (~spl0_16600 | ~spl0_23042)), 21.91/21.78 inference(forward_demodulation,[],[f374339,f260317])). 21.91/21.78 fof(f260317,plain,( 21.91/21.78 mult(a,b) = mult(c,mult(ld(c,a),b)) | ~spl0_23042), 21.91/21.78 inference(avatar_component_clause,[],[f260316])). 21.91/21.78 fof(f374339,plain,( 21.91/21.78 ld(mult(c,mult(ld(c,a),b)),mult(c,mult(a,b))) = c | ~spl0_16600), 21.91/21.78 inference(superposition,[],[f95107,f222436])). 21.91/21.78 fof(f95107,plain,( 21.91/21.78 ( ! [X47,X48] : (ld(mult(X47,X48),mult(X47,mult(X48,X47))) = X47) )), 21.91/21.78 inference(forward_demodulation,[],[f95106,f18])). 21.91/21.78 fof(f95106,plain,( 21.91/21.78 ( ! [X47,X48] : (ld(mult(mult(unit,X47),X48),mult(X47,mult(X48,X47))) = X47) )), 21.91/21.78 inference(forward_demodulation,[],[f95105,f40])). 21.91/21.78 fof(f95105,plain,( 21.91/21.78 ( ! [X47,X48] : (ld(mult(mult(ld(X47,X47),X47),X48),mult(X47,mult(X48,X47))) = X47) )), 21.91/21.78 inference(forward_demodulation,[],[f95104,f18])). 21.91/21.78 fof(f95104,plain,( 21.91/21.78 ( ! [X47,X48] : (ld(mult(mult(ld(X47,X47),X47),X48),mult(unit,mult(X47,mult(X48,X47)))) = X47) )), 21.91/21.78 inference(forward_demodulation,[],[f95103,f19])). 21.91/21.78 fof(f95103,plain,( 21.91/21.78 ( ! [X47,X48] : (ld(mult(mult(ld(X47,X47),X47),X48),mult(mult(rd(unit,X47),X47),mult(X47,mult(X48,X47)))) = X47) )), 21.91/21.78 inference(forward_demodulation,[],[f94562,f91605])). 21.91/21.78 fof(f94562,plain,( 21.91/21.78 ( ! [X47,X48] : (ld(mult(mult(ld(X47,X47),X47),X48),mult(mult(rd(unit,X47),X47),mult(mult(X47,X48),X47))) = X47) )), 21.91/21.78 inference(superposition,[],[f304,f13775])). 21.91/21.78 fof(f304,plain,( 21.91/21.78 ( ! [X14,X15,X13] : (ld(mult(mult(X13,mult(X14,X14)),X15),mult(mult(X13,X14),mult(mult(X14,X15),X14))) = X14) )), 21.91/21.78 inference(superposition,[],[f56,f60])). 21.91/21.78 fof(f60,plain,( 21.91/21.78 ( ! [X4,X3] : (mult(X3,mult(X4,X4)) = mult(mult(X3,X4),X4)) )), 21.91/21.78 inference(forward_demodulation,[],[f52,f17])). 21.91/21.78 fof(f52,plain,( 21.91/21.78 ( ! [X4,X3] : (mult(mult(X3,X4),X4) = mult(X3,mult(mult(X4,unit),X4))) )), 21.91/21.78 inference(superposition,[],[f23,f17])). 21.91/21.78 fof(f374291,plain,( 21.91/21.78 spl0_20228 | ~spl0_548 | ~spl0_12862 | ~spl0_16566), 21.91/21.78 inference(avatar_split_clause,[],[f333247,f222343,f197830,f20054,f249305])). 21.91/21.78 fof(f20054,plain,( 21.91/21.78 spl0_548 <=> ! [X232] : ld(mult(X232,mult(a,c)),mult(X232,mult(mult(a,b),c))) = b), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_548])])). 21.91/21.78 fof(f197830,plain,( 21.91/21.78 spl0_12862 <=> mult(ld(c,a),c) = a), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_12862])])). 21.91/21.78 fof(f222343,plain,( 21.91/21.78 spl0_16566 <=> mult(ld(c,a),b) = ld(c,mult(a,b))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_16566])])). 21.91/21.78 fof(f333247,plain,( 21.91/21.78 ld(a,mult(mult(ld(c,a),b),c)) = b | (~spl0_548 | ~spl0_12862 | ~spl0_16566)), 21.91/21.78 inference(forward_demodulation,[],[f333246,f197831])). 21.91/21.78 fof(f197831,plain,( 21.91/21.78 mult(ld(c,a),c) = a | ~spl0_12862), 21.91/21.78 inference(avatar_component_clause,[],[f197830])). 21.91/21.78 fof(f333246,plain,( 21.91/21.78 ld(mult(ld(c,a),c),mult(mult(ld(c,a),b),c)) = b | (~spl0_548 | ~spl0_16566)), 21.91/21.78 inference(forward_demodulation,[],[f333200,f13775])). 21.91/21.78 fof(f333200,plain,( 21.91/21.78 ld(mult(rd(unit,c),mult(a,c)),mult(mult(ld(c,a),b),c)) = b | (~spl0_548 | ~spl0_16566)), 21.91/21.78 inference(forward_demodulation,[],[f333154,f222344])). 21.91/21.78 fof(f222344,plain,( 21.91/21.78 mult(ld(c,a),b) = ld(c,mult(a,b)) | ~spl0_16566), 21.91/21.78 inference(avatar_component_clause,[],[f222343])). 21.91/21.78 fof(f333154,plain,( 21.91/21.78 ld(mult(rd(unit,c),mult(a,c)),mult(ld(c,mult(a,b)),c)) = b | ~spl0_548), 21.91/21.78 inference(superposition,[],[f20055,f13775])). 21.91/21.78 fof(f20055,plain,( 21.91/21.78 ( ! [X232] : (ld(mult(X232,mult(a,c)),mult(X232,mult(mult(a,b),c))) = b) ) | ~spl0_548), 21.91/21.78 inference(avatar_component_clause,[],[f20054])). 21.91/21.78 fof(f366334,plain,( 21.91/21.78 spl0_16738 | ~spl0_13998 | ~spl0_23042), 21.91/21.78 inference(avatar_split_clause,[],[f366333,f260316,f203040,f223195])). 21.91/21.78 fof(f203040,plain,( 21.91/21.78 spl0_13998 <=> ! [X77] : ld(rd(mult(c,mult(ld(c,a),b)),X77),mult(b,a)) = X77), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_13998])])). 21.91/21.78 fof(f366333,plain,( 21.91/21.78 mult(a,b) = mult(b,a) | (~spl0_13998 | ~spl0_23042)), 21.91/21.78 inference(forward_demodulation,[],[f366332,f42])). 21.91/21.78 fof(f366332,plain,( 21.91/21.78 ( ! [X59] : (mult(b,a) = ld(rd(X59,mult(a,b)),X59)) ) | (~spl0_13998 | ~spl0_23042)), 21.91/21.78 inference(forward_demodulation,[],[f366331,f260317])). 21.91/21.78 fof(f366331,plain,( 21.91/21.78 ( ! [X59] : (mult(b,a) = ld(rd(X59,mult(c,mult(ld(c,a),b))),X59)) ) | ~spl0_13998), 21.91/21.78 inference(forward_demodulation,[],[f366244,f93644])). 21.91/21.78 fof(f366244,plain,( 21.91/21.78 ( ! [X59] : (mult(b,a) = ld(ld(rd(mult(c,mult(ld(c,a),b)),X59),unit),X59)) ) | ~spl0_13998), 21.91/21.78 inference(superposition,[],[f92411,f203041])). 21.91/21.78 fof(f203041,plain,( 21.91/21.78 ( ! [X77] : (ld(rd(mult(c,mult(ld(c,a),b)),X77),mult(b,a)) = X77) ) | ~spl0_13998), 21.91/21.78 inference(avatar_component_clause,[],[f203040])). 21.91/21.78 fof(f92411,plain,( 21.91/21.78 ( ! [X138,X137] : (ld(ld(X137,unit),ld(X137,X138)) = X138) )), 21.91/21.78 inference(superposition,[],[f22,f92001])). 21.91/21.78 fof(f352248,plain,( 21.91/21.78 spl0_7218 | ~spl0_7846), 21.91/21.78 inference(avatar_split_clause,[],[f352247,f123148,f114943])). 21.91/21.78 fof(f114943,plain,( 21.91/21.78 spl0_7218 <=> mult(b,a) = mult(mult(b,c),ld(c,a))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_7218])])). 21.91/21.78 fof(f123148,plain,( 21.91/21.78 spl0_7846 <=> rd(mult(b,a),c) = rd(mult(b,mult(a,c)),mult(c,c))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_7846])])). 21.91/21.78 fof(f352247,plain,( 21.91/21.78 mult(b,a) = mult(mult(b,c),ld(c,a)) | ~spl0_7846), 21.91/21.78 inference(forward_demodulation,[],[f352246,f19])). 21.91/21.78 fof(f352246,plain,( 21.91/21.78 mult(mult(b,c),ld(c,a)) = mult(rd(mult(b,a),c),c) | ~spl0_7846), 21.91/21.78 inference(forward_demodulation,[],[f352234,f384])). 21.91/21.78 fof(f352234,plain,( 21.91/21.78 mult(rd(mult(b,a),c),c) = rd(mult(b,mult(a,c)),c) | ~spl0_7846), 21.91/21.78 inference(superposition,[],[f629,f123149])). 21.91/21.78 fof(f123149,plain,( 21.91/21.78 rd(mult(b,a),c) = rd(mult(b,mult(a,c)),mult(c,c)) | ~spl0_7846), 21.91/21.78 inference(avatar_component_clause,[],[f123148])). 21.91/21.78 fof(f629,plain,( 21.91/21.78 ( ! [X19,X20] : (mult(rd(X19,mult(X20,X20)),X20) = rd(X19,X20)) )), 21.91/21.78 inference(superposition,[],[f169,f19])). 21.91/21.78 fof(f169,plain,( 21.91/21.78 ( ! [X12,X11] : (mult(X11,X12) = rd(mult(X11,mult(X12,X12)),X12)) )), 21.91/21.78 inference(superposition,[],[f20,f60])). 21.91/21.78 fof(f349478,plain,( 21.91/21.78 spl0_7788 | ~spl0_24224), 21.91/21.78 inference(avatar_split_clause,[],[f349477,f266729,f123002])). 21.91/21.78 fof(f123002,plain,( 21.91/21.78 spl0_7788 <=> mult(b,c) = mult(mult(b,a),ld(a,c))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_7788])])). 21.91/21.78 fof(f266729,plain,( 21.91/21.78 spl0_24224 <=> rd(mult(mult(b,c),a),mult(c,a)) = b), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_24224])])). 21.91/21.78 fof(f349477,plain,( 21.91/21.78 mult(b,c) = mult(mult(b,a),ld(a,c)) | ~spl0_24224), 21.91/21.78 inference(forward_demodulation,[],[f349451,f20])). 21.91/21.78 fof(f349451,plain,( 21.91/21.78 mult(mult(b,a),ld(a,c)) = rd(mult(mult(b,c),a),a) | ~spl0_24224), 21.91/21.78 inference(superposition,[],[f17688,f266730])). 21.91/21.78 fof(f266730,plain,( 21.91/21.78 rd(mult(mult(b,c),a),mult(c,a)) = b | ~spl0_24224), 21.91/21.78 inference(avatar_component_clause,[],[f266729])). 21.91/21.78 fof(f17688,plain,( 21.91/21.78 ( ! [X231,X229,X230] : (mult(mult(rd(X229,mult(X230,X231)),X231),ld(X231,X230)) = rd(X229,X231)) )), 21.91/21.78 inference(superposition,[],[f384,f19])). 21.91/21.78 fof(f339249,plain,( 21.91/21.78 spl0_31172 | ~spl0_27488), 21.91/21.78 inference(avatar_split_clause,[],[f339245,f294636,f339247])). 21.91/21.78 fof(f294636,plain,( 21.91/21.78 spl0_27488 <=> ld(mult(b,c),a) = ld(mult(ld(a,c),b),unit)), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_27488])])). 21.91/21.78 fof(f339245,plain,( 21.91/21.78 ld(mult(b,c),a) = ld(b,ld(c,a)) | ~spl0_27488), 21.91/21.78 inference(forward_demodulation,[],[f339244,f20722])). 21.91/21.78 fof(f339244,plain,( 21.91/21.78 ld(mult(b,c),a) = ld(b,ld(ld(a,c),unit)) | ~spl0_27488), 21.91/21.78 inference(forward_demodulation,[],[f338619,f28])). 21.91/21.78 fof(f338619,plain,( 21.91/21.78 ld(b,ld(ld(a,c),unit)) = rd(ld(mult(b,c),a),unit) | ~spl0_27488), 21.91/21.78 inference(superposition,[],[f207812,f294637])). 21.91/21.78 fof(f294637,plain,( 21.91/21.78 ld(mult(b,c),a) = ld(mult(ld(a,c),b),unit) | ~spl0_27488), 21.91/21.78 inference(avatar_component_clause,[],[f294636])). 21.91/21.78 fof(f207812,plain,( 21.91/21.78 ( ! [X265,X264,X266] : (ld(X264,ld(X265,unit)) = rd(ld(mult(X265,X264),X266),X266)) )), 21.91/21.78 inference(superposition,[],[f20,f127193])). 21.91/21.78 fof(f127193,plain,( 21.91/21.78 ( ! [X212,X213,X211] : (mult(ld(X212,ld(X213,unit)),X211) = ld(mult(X213,X212),X211)) )), 21.91/21.78 inference(forward_demodulation,[],[f127192,f92355])). 21.91/21.78 fof(f92355,plain,( 21.91/21.78 ( ! [X134,X135] : (ld(X134,ld(X135,unit)) = rd(ld(X134,unit),X135)) )), 21.91/21.78 inference(superposition,[],[f92001,f17839])). 21.91/21.78 fof(f127192,plain,( 21.91/21.78 ( ! [X212,X213,X211] : (mult(rd(ld(X212,unit),X213),X211) = ld(mult(X213,X212),X211)) )), 21.91/21.78 inference(forward_demodulation,[],[f127191,f17724])). 21.91/21.78 fof(f127191,plain,( 21.91/21.78 ( ! [X212,X213,X211] : (mult(rd(ld(X212,unit),X213),X211) = mult(mult(ld(mult(X213,X212),X211),X212),ld(X212,unit))) )), 21.91/21.78 inference(forward_demodulation,[],[f127190,f94766])). 21.91/21.78 fof(f94766,plain,( 21.91/21.78 ( ! [X127,X128,X129] : (mult(ld(mult(X128,X127),X129),X127) = mult(ld(X127,unit),ld(X128,mult(X129,X127)))) )), 21.91/21.78 inference(forward_demodulation,[],[f94765,f21414])). 21.91/21.78 fof(f94765,plain,( 21.91/21.78 ( ! [X127,X128,X129] : (mult(ld(mult(X128,X127),X129),X127) = mult(rd(unit,X127),ld(X128,mult(X129,X127)))) )), 21.91/21.78 inference(forward_demodulation,[],[f94416,f22])). 21.91/21.78 fof(f94416,plain,( 21.91/21.78 ( ! [X127,X128,X129] : (mult(rd(unit,X127),ld(X128,mult(X129,X127))) = mult(ld(X127,mult(X127,ld(mult(X128,X127),X129))),X127)) )), 21.91/21.78 inference(superposition,[],[f13775,f257])). 21.91/21.78 fof(f127190,plain,( 21.91/21.78 ( ! [X212,X213,X211] : (mult(rd(ld(X212,unit),X213),X211) = mult(mult(ld(X212,unit),ld(X213,mult(X211,X212))),ld(X212,unit))) )), 21.91/21.78 inference(forward_demodulation,[],[f127016,f101227])). 21.91/21.78 fof(f127016,plain,( 21.91/21.78 ( ! [X212,X213,X211] : (mult(mult(ld(X212,unit),ld(X213,mult(X211,X212))),ld(X212,unit)) = ld(rd(X213,ld(X212,unit)),X211)) )), 21.91/21.78 inference(superposition,[],[f14653,f17724])). 21.91/21.78 fof(f14653,plain,( 21.91/21.78 ( ! [X4,X2,X3] : (mult(mult(X4,ld(X2,X3)),X4) = ld(rd(X2,X4),mult(X3,X4))) )), 21.91/21.78 inference(superposition,[],[f206,f21])). 21.91/21.78 fof(f333312,plain,( 21.91/21.78 spl0_16600 | ~spl0_12456 | ~spl0_16566), 21.91/21.78 inference(avatar_split_clause,[],[f333311,f222343,f196319,f222435])). 21.91/21.78 fof(f196319,plain,( 21.91/21.78 spl0_12456 <=> mult(a,b) = ld(c,mult(mult(a,b),c))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_12456])])). 21.91/21.78 fof(f333311,plain,( 21.91/21.78 mult(a,b) = mult(mult(ld(c,a),b),c) | (~spl0_12456 | ~spl0_16566)), 21.91/21.78 inference(forward_demodulation,[],[f333277,f222344])). 21.91/21.78 fof(f333277,plain,( 21.91/21.78 mult(a,b) = mult(ld(c,mult(a,b)),c) | ~spl0_12456), 21.91/21.78 inference(superposition,[],[f103729,f196320])). 21.91/21.78 fof(f196320,plain,( 21.91/21.78 mult(a,b) = ld(c,mult(mult(a,b),c)) | ~spl0_12456), 21.91/21.78 inference(avatar_component_clause,[],[f196319])). 21.91/21.78 fof(f103729,plain,( 21.91/21.78 ( ! [X26,X25] : (mult(ld(X26,X25),X26) = ld(X26,mult(X25,X26))) )), 21.91/21.78 inference(superposition,[],[f94785,f20])). 21.91/21.78 fof(f94785,plain,( 21.91/21.78 ( ! [X194,X195] : (mult(ld(X195,rd(X194,X195)),X195) = ld(X195,X194)) )), 21.91/21.78 inference(forward_demodulation,[],[f94784,f92001])). 21.91/21.78 fof(f94784,plain,( 21.91/21.78 ( ! [X194,X195] : (mult(ld(X195,unit),X194) = mult(ld(X195,rd(X194,X195)),X195)) )), 21.91/21.78 inference(forward_demodulation,[],[f94783,f17839])). 21.91/21.78 fof(f94783,plain,( 21.91/21.78 ( ! [X194,X195] : (mult(ld(X195,unit),X194) = mult(ld(X195,mult(X194,ld(X195,unit))),X195)) )), 21.91/21.78 inference(forward_demodulation,[],[f94428,f21414])). 21.91/21.78 fof(f94428,plain,( 21.91/21.78 ( ! [X194,X195] : (mult(rd(unit,X195),X194) = mult(ld(X195,mult(X194,rd(unit,X195))),X195)) )), 21.91/21.78 inference(superposition,[],[f13775,f18006])). 21.91/21.78 fof(f329381,plain,( 21.91/21.78 spl0_16566 | ~spl0_27488), 21.91/21.78 inference(avatar_split_clause,[],[f329380,f294636,f222343])). 21.91/21.78 fof(f329380,plain,( 21.91/21.78 mult(ld(c,a),b) = ld(c,mult(a,b)) | ~spl0_27488), 21.91/21.78 inference(forward_demodulation,[],[f329122,f18])). 21.91/21.78 fof(f329122,plain,( 21.91/21.78 mult(ld(c,a),mult(unit,b)) = ld(c,mult(a,b)) | ~spl0_27488), 21.91/21.78 inference(forward_demodulation,[],[f329121,f16124])). 21.91/21.78 fof(f16124,plain,( 21.91/21.78 ( ! [X285] : (mult(mult(b,ld(mult(b,c),X285)),b) = ld(c,mult(X285,b))) )), 21.91/21.78 inference(superposition,[],[f257,f152])). 21.91/21.78 fof(f329121,plain,( 21.91/21.78 mult(ld(c,a),mult(unit,b)) = mult(mult(b,ld(mult(b,c),a)),b) | ~spl0_27488), 21.91/21.78 inference(forward_demodulation,[],[f329065,f92313])). 21.91/21.78 fof(f329065,plain,( 21.91/21.78 mult(mult(b,ld(mult(b,c),a)),b) = ld(ld(a,c),mult(unit,b)) | ~spl0_27488), 21.91/21.78 inference(superposition,[],[f257,f294637])). 21.91/21.78 fof(f328375,plain,( 21.91/21.78 ~spl0_565 | ~spl0_12548), 21.91/21.78 inference(avatar_split_clause,[],[f232980,f196775,f20144])). 21.91/21.78 fof(f20144,plain,( 21.91/21.78 spl0_565 <=> mult(a,mult(b,c)) != mult(c,mult(a,b))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_565])])). 21.91/21.78 fof(f196775,plain,( 21.91/21.78 spl0_12548 <=> mult(mult(a,b),c) = mult(c,mult(a,b))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_12548])])). 21.91/21.78 fof(f232980,plain,( 21.91/21.78 mult(a,mult(b,c)) != mult(c,mult(a,b)) | ~spl0_12548), 21.91/21.78 inference(superposition,[],[f16,f196776])). 21.91/21.78 fof(f196776,plain,( 21.91/21.78 mult(mult(a,b),c) = mult(c,mult(a,b)) | ~spl0_12548), 21.91/21.78 inference(avatar_component_clause,[],[f196775])). 21.91/21.78 fof(f294638,plain,( 21.91/21.78 spl0_27488 | ~spl0_18084 | ~spl0_25578), 21.91/21.78 inference(avatar_split_clause,[],[f294622,f275328,f234682,f294636])). 21.91/21.78 fof(f234682,plain,( 21.91/21.78 spl0_18084 <=> ! [X254] : ld(mult(b,c),a) = ld(mult(X254,mult(b,c)),mult(X254,a))), 21.91/21.78 introduced(avatar_definition,[new_symbols(naming,[spl0_18084])])). 21.91/21.78 fof(f275328,plain,( 21.91/21.78 spl0_25578 <=> ! [X69] : mult(X69,mult(b,c)) = mult(mult(X69,a),mult(ld(a,c),b))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_25578])])). 21.91/21.79 fof(f294622,plain,( 21.91/21.79 ld(mult(b,c),a) = ld(mult(ld(a,c),b),unit) | (~spl0_18084 | ~spl0_25578)), 21.91/21.79 inference(forward_demodulation,[],[f294586,f234683])). 21.91/21.79 fof(f234683,plain,( 21.91/21.79 ( ! [X254] : (ld(mult(b,c),a) = ld(mult(X254,mult(b,c)),mult(X254,a))) ) | ~spl0_18084), 21.91/21.79 inference(avatar_component_clause,[],[f234682])). 21.91/21.79 fof(f294586,plain,( 21.91/21.79 ( ! [X116] : (ld(mult(ld(a,c),b),unit) = ld(mult(X116,mult(b,c)),mult(X116,a))) ) | ~spl0_25578), 21.91/21.79 inference(superposition,[],[f18068,f275329])). 21.91/21.79 fof(f275329,plain,( 21.91/21.79 ( ! [X69] : (mult(X69,mult(b,c)) = mult(mult(X69,a),mult(ld(a,c),b))) ) | ~spl0_25578), 21.91/21.79 inference(avatar_component_clause,[],[f275328])). 21.91/21.79 fof(f18068,plain,( 21.91/21.79 ( ! [X21,X22] : (ld(X21,unit) = ld(mult(X22,X21),X22)) )), 21.91/21.79 inference(forward_demodulation,[],[f18067,f13773])). 21.91/21.79 fof(f13773,plain,( 21.91/21.79 ( ! [X138,X139,X137] : (mult(X137,X138) = mult(rd(rd(X137,ld(X138,X139)),X138),mult(X139,X138))) )), 21.91/21.79 inference(superposition,[],[f190,f19])). 21.91/21.79 fof(f18067,plain,( 21.91/21.79 ( ! [X21,X22] : (ld(X21,unit) = ld(mult(rd(rd(X22,ld(X21,unit)),X21),mult(unit,X21)),X22)) )), 21.91/21.79 inference(forward_demodulation,[],[f17890,f190])). 21.91/21.79 fof(f17890,plain,( 21.91/21.79 ( ! [X21,X22] : (ld(X21,unit) = ld(mult(mult(rd(X22,ld(X21,unit)),ld(X21,unit)),X21),X22)) )), 21.91/21.79 inference(superposition,[],[f346,f17724])). 21.91/21.79 fof(f280966,plain,( 21.91/21.79 spl0_26156 | ~spl0_7092 | ~spl0_25452), 21.91/21.79 inference(avatar_split_clause,[],[f280962,f274530,f114432,f280964])). 21.91/21.79 fof(f114432,plain,( 21.91/21.79 spl0_7092 <=> ld(mult(b,a),mult(mult(b,c),a)) = c), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7092])])). 21.91/21.79 fof(f274530,plain,( 21.91/21.79 spl0_25452 <=> mult(mult(b,c),a) = mult(c,mult(b,a))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_25452])])). 21.91/21.79 fof(f280962,plain,( 21.91/21.79 mult(b,a) = mult(mult(c,mult(b,a)),ld(c,unit)) | (~spl0_7092 | ~spl0_25452)), 21.91/21.79 inference(forward_demodulation,[],[f280883,f274531])). 21.91/21.79 fof(f274531,plain,( 21.91/21.79 mult(mult(b,c),a) = mult(c,mult(b,a)) | ~spl0_25452), 21.91/21.79 inference(avatar_component_clause,[],[f274530])). 21.91/21.79 fof(f280883,plain,( 21.91/21.79 mult(b,a) = mult(mult(mult(b,c),a),ld(c,unit)) | ~spl0_7092), 21.91/21.79 inference(superposition,[],[f17778,f114433])). 21.91/21.79 fof(f114433,plain,( 21.91/21.79 ld(mult(b,a),mult(mult(b,c),a)) = c | ~spl0_7092), 21.91/21.79 inference(avatar_component_clause,[],[f114432])). 21.91/21.79 fof(f280842,plain,( 21.91/21.79 spl0_18084 | ~spl0_7108), 21.91/21.79 inference(avatar_split_clause,[],[f234680,f114489,f234682])). 21.91/21.79 fof(f114489,plain,( 21.91/21.79 spl0_7108 <=> ! [X14] : mult(X14,mult(b,c)) = mult(mult(X14,a),ld(a,mult(b,c)))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7108])])). 21.91/21.79 fof(f234680,plain,( 21.91/21.79 ( ! [X254] : (ld(mult(b,c),a) = ld(mult(X254,mult(b,c)),mult(X254,a))) ) | ~spl0_7108), 21.91/21.79 inference(forward_demodulation,[],[f234557,f20722])). 21.91/21.79 fof(f234557,plain,( 21.91/21.79 ( ! [X254] : (ld(ld(a,mult(b,c)),unit) = ld(mult(X254,mult(b,c)),mult(X254,a))) ) | ~spl0_7108), 21.91/21.79 inference(superposition,[],[f18068,f114490])). 21.91/21.79 fof(f114490,plain,( 21.91/21.79 ( ! [X14] : (mult(X14,mult(b,c)) = mult(mult(X14,a),ld(a,mult(b,c)))) ) | ~spl0_7108), 21.91/21.79 inference(avatar_component_clause,[],[f114489])). 21.91/21.79 fof(f275500,plain,( 21.91/21.79 spl0_25578 | ~spl0_1040 | ~spl0_25256), 21.91/21.79 inference(avatar_split_clause,[],[f275499,f272252,f38210,f275328])). 21.91/21.79 fof(f38210,plain,( 21.91/21.79 spl0_1040 <=> ! [X294] : mult(X294,mult(b,c)) = rd(mult(X294,mult(mult(b,c),a)),a)), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_1040])])). 21.91/21.79 fof(f275499,plain,( 21.91/21.79 ( ! [X14] : (mult(X14,mult(b,c)) = mult(mult(X14,a),mult(ld(a,c),b))) ) | (~spl0_1040 | ~spl0_25256)), 21.91/21.79 inference(forward_demodulation,[],[f114362,f272253])). 21.91/21.79 fof(f114362,plain,( 21.91/21.79 ( ! [X14] : (mult(X14,mult(b,c)) = mult(mult(X14,a),ld(a,mult(b,c)))) ) | ~spl0_1040), 21.91/21.79 inference(superposition,[],[f38211,f384])). 21.91/21.79 fof(f38211,plain,( 21.91/21.79 ( ! [X294] : (mult(X294,mult(b,c)) = rd(mult(X294,mult(mult(b,c),a)),a)) ) | ~spl0_1040), 21.91/21.79 inference(avatar_component_clause,[],[f38210])). 21.91/21.79 fof(f274594,plain,( 21.91/21.79 spl0_25452 | ~spl0_15958), 21.91/21.79 inference(avatar_split_clause,[],[f239006,f214593,f274530])). 21.91/21.79 fof(f239006,plain,( 21.91/21.79 mult(mult(b,c),a) = mult(c,mult(b,a)) | ~spl0_15958), 21.91/21.79 inference(forward_demodulation,[],[f239005,f22])). 21.91/21.79 fof(f239005,plain,( 21.91/21.79 ( ! [X20] : (mult(mult(b,c),a) = ld(rd(X20,a),mult(rd(X20,a),mult(c,mult(b,a))))) ) | ~spl0_15958), 21.91/21.79 inference(forward_demodulation,[],[f238921,f160263])). 21.91/21.79 fof(f160263,plain,( 21.91/21.79 ( ! [X447,X449,X446,X448] : (mult(mult(X448,mult(ld(X447,X446),X449)),X447) = mult(rd(X448,X447),mult(X446,mult(X449,X447)))) )), 21.91/21.79 inference(forward_demodulation,[],[f160262,f92313])). 21.91/21.79 fof(f160262,plain,( 21.91/21.79 ( ! [X447,X449,X446,X448] : (mult(mult(X448,ld(ld(X446,X447),X449)),X447) = mult(rd(X448,X447),mult(X446,mult(X449,X447)))) )), 21.91/21.79 inference(forward_demodulation,[],[f160129,f92719])). 21.91/21.79 fof(f160129,plain,( 21.91/21.79 ( ! [X447,X449,X446,X448] : (mult(mult(X448,ld(ld(X446,X447),X449)),X447) = mult(rd(X448,X447),ld(ld(X446,unit),mult(X449,X447)))) )), 21.91/21.79 inference(superposition,[],[f16187,f92001])). 21.91/21.79 fof(f16187,plain,( 21.91/21.79 ( ! [X14,X17,X15,X16] : (mult(mult(X17,ld(mult(X15,X14),X16)),X14) = mult(rd(X17,X14),ld(X15,mult(X16,X14)))) )), 21.91/21.79 inference(superposition,[],[f49,f257])). 21.91/21.79 fof(f238921,plain,( 21.91/21.79 ( ! [X20] : (mult(mult(b,c),a) = ld(rd(X20,a),mult(mult(X20,mult(ld(a,c),b)),a))) ) | ~spl0_15958), 21.91/21.79 inference(superposition,[],[f21486,f214594])). 21.91/21.79 fof(f214594,plain,( 21.91/21.79 rd(mult(b,c),mult(ld(a,c),b)) = a | ~spl0_15958), 21.91/21.79 inference(avatar_component_clause,[],[f214593])). 21.91/21.79 fof(f21486,plain,( 21.91/21.79 ( ! [X59,X57,X58] : (mult(X58,rd(X58,X59)) = ld(rd(X57,rd(X58,X59)),mult(mult(X57,X59),rd(X58,X59)))) )), 21.91/21.79 inference(superposition,[],[f22,f196])). 21.91/21.79 fof(f196,plain,( 21.91/21.79 ( ! [X26,X24,X25] : (mult(mult(X26,X25),rd(X24,X25)) = mult(rd(X26,rd(X24,X25)),mult(X24,rd(X24,X25)))) )), 21.91/21.79 inference(superposition,[],[f49,f19])). 21.91/21.79 fof(f273933,plain,( 21.91/21.79 spl0_562 | ~spl0_992), 21.91/21.79 inference(avatar_split_clause,[],[f208055,f37582,f20140])). 21.91/21.79 fof(f20140,plain,( 21.91/21.79 spl0_562 <=> mult(a,c) = mult(mult(b,c),ld(b,a))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_562])])). 21.91/21.79 fof(f37582,plain,( 21.91/21.79 spl0_992 <=> mult(a,c) = rd(mult(c,mult(a,b)),b)), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_992])])). 21.91/21.79 fof(f208055,plain,( 21.91/21.79 mult(a,c) = mult(mult(b,c),ld(b,a)) | ~spl0_992), 21.91/21.79 inference(forward_demodulation,[],[f208011,f152])). 21.91/21.79 fof(f208011,plain,( 21.91/21.79 mult(a,c) = mult(mult(c,b),ld(b,a)) | ~spl0_992), 21.91/21.79 inference(superposition,[],[f384,f37583])). 21.91/21.79 fof(f37583,plain,( 21.91/21.79 mult(a,c) = rd(mult(c,mult(a,b)),b) | ~spl0_992), 21.91/21.79 inference(avatar_component_clause,[],[f37582])). 21.91/21.79 fof(f273469,plain,( 21.91/21.79 ~spl0_7214 | ~spl0_16738), 21.91/21.79 inference(avatar_contradiction_clause,[],[f273468])). 21.91/21.79 fof(f273468,plain,( 21.91/21.79 $false | (~spl0_7214 | ~spl0_16738)), 21.91/21.79 inference(subsumption_resolution,[],[f273467,f16])). 21.91/21.79 fof(f273467,plain,( 21.91/21.79 mult(mult(a,b),c) = mult(a,mult(b,c)) | (~spl0_7214 | ~spl0_16738)), 21.91/21.79 inference(forward_demodulation,[],[f126696,f223196])). 21.91/21.79 fof(f126696,plain,( 21.91/21.79 mult(mult(b,a),c) = mult(a,mult(b,c)) | ~spl0_7214), 21.91/21.79 inference(forward_demodulation,[],[f126593,f20])). 21.91/21.79 fof(f126593,plain,( 21.91/21.79 mult(mult(b,a),c) = mult(rd(mult(a,c),c),mult(b,c)) | ~spl0_7214), 21.91/21.79 inference(superposition,[],[f190,f114934])). 21.91/21.79 fof(f114934,plain,( 21.91/21.79 mult(b,a) = mult(mult(a,c),ld(c,b)) | ~spl0_7214), 21.91/21.79 inference(avatar_component_clause,[],[f114933])). 21.91/21.79 fof(f114933,plain,( 21.91/21.79 spl0_7214 <=> mult(b,a) = mult(mult(a,c),ld(c,b))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7214])])). 21.91/21.79 fof(f273299,plain,( 21.91/21.79 spl0_560 | ~spl0_7770 | ~spl0_12784), 21.91/21.79 inference(avatar_split_clause,[],[f214141,f197533,f122944,f20134])). 21.91/21.79 fof(f20134,plain,( 21.91/21.79 spl0_560 <=> ld(mult(a,c),mult(c,mult(a,b))) = b), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_560])])). 21.91/21.79 fof(f122944,plain,( 21.91/21.79 spl0_7770 <=> ! [X0] : ld(mult(X0,a),mult(X0,mult(a,b))) = b), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7770])])). 21.91/21.79 fof(f197533,plain,( 21.91/21.79 spl0_12784 <=> mult(a,c) = mult(c,a)), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_12784])])). 21.91/21.79 fof(f214141,plain,( 21.91/21.79 ld(mult(a,c),mult(c,mult(a,b))) = b | (~spl0_7770 | ~spl0_12784)), 21.91/21.79 inference(superposition,[],[f122945,f197534])). 21.91/21.79 fof(f197534,plain,( 21.91/21.79 mult(a,c) = mult(c,a) | ~spl0_12784), 21.91/21.79 inference(avatar_component_clause,[],[f197533])). 21.91/21.79 fof(f122945,plain,( 21.91/21.79 ( ! [X0] : (ld(mult(X0,a),mult(X0,mult(a,b))) = b) ) | ~spl0_7770), 21.91/21.79 inference(avatar_component_clause,[],[f122944])). 21.91/21.79 fof(f273076,plain,( 21.91/21.79 spl0_12784 | ~spl0_12862), 21.91/21.79 inference(avatar_split_clause,[],[f198613,f197830,f197533])). 21.91/21.79 fof(f198613,plain,( 21.91/21.79 mult(a,c) = mult(c,a) | ~spl0_12862), 21.91/21.79 inference(superposition,[],[f95291,f197831])). 21.91/21.79 fof(f272907,plain,( 21.91/21.79 spl0_12862 | ~spl0_13204), 21.91/21.79 inference(avatar_split_clause,[],[f202771,f199225,f197830])). 21.91/21.79 fof(f199225,plain,( 21.91/21.79 spl0_13204 <=> mult(ld(a,c),a) = c), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_13204])])). 21.91/21.79 fof(f202771,plain,( 21.91/21.79 mult(ld(c,a),c) = a | ~spl0_13204), 21.91/21.79 inference(forward_demodulation,[],[f202770,f21])). 21.91/21.79 fof(f202770,plain,( 21.91/21.79 mult(mult(a,ld(a,ld(c,a))),c) = a | ~spl0_13204), 21.91/21.79 inference(forward_demodulation,[],[f202769,f113112])). 21.91/21.79 fof(f113112,plain,( 21.91/21.79 ( ! [X116,X117,X115] : (mult(X117,ld(X115,ld(X116,X115))) = rd(X117,mult(ld(X115,X116),X115))) )), 21.91/21.79 inference(forward_demodulation,[],[f112846,f94925])). 21.91/21.79 fof(f94925,plain,( 21.91/21.79 ( ! [X418,X417] : (ld(X417,ld(X418,X417)) = ld(mult(X418,X417),X417)) )), 21.91/21.79 inference(forward_demodulation,[],[f94924,f92001])). 21.91/21.79 fof(f94924,plain,( 21.91/21.79 ( ! [X418,X417] : (mult(ld(X417,unit),ld(X418,X417)) = ld(mult(X418,X417),X417)) )), 21.91/21.79 inference(forward_demodulation,[],[f94923,f92001])). 21.91/21.79 fof(f94923,plain,( 21.91/21.79 ( ! [X418,X417] : (mult(ld(X417,unit),ld(X418,X417)) = mult(ld(mult(X418,X417),unit),X417)) )), 21.91/21.79 inference(forward_demodulation,[],[f94922,f21414])). 21.91/21.79 fof(f94922,plain,( 21.91/21.79 ( ! [X418,X417] : (mult(ld(mult(X418,X417),unit),X417) = mult(rd(unit,X417),ld(X418,X417))) )), 21.91/21.79 inference(forward_demodulation,[],[f94471,f18052])). 21.91/21.79 fof(f18052,plain,( 21.91/21.79 ( ! [X12,X13] : (ld(X12,unit) = ld(X13,rd(X13,X12))) )), 21.91/21.79 inference(forward_demodulation,[],[f18051,f19])). 21.91/21.79 fof(f18051,plain,( 21.91/21.79 ( ! [X12,X13] : (ld(X12,unit) = ld(mult(rd(X13,X12),X12),rd(X13,X12))) )), 21.91/21.79 inference(forward_demodulation,[],[f17886,f17839])). 21.91/21.79 fof(f17886,plain,( 21.91/21.79 ( ! [X12,X13] : (ld(X12,unit) = ld(mult(mult(X13,ld(X12,unit)),X12),mult(X13,ld(X12,unit)))) )), 21.91/21.79 inference(superposition,[],[f56,f17724])). 21.91/21.79 fof(f94471,plain,( 21.91/21.79 ( ! [X418,X417] : (mult(rd(unit,X417),ld(X418,X417)) = mult(ld(X417,rd(X417,mult(X418,X417))),X417)) )), 21.91/21.79 inference(superposition,[],[f13775,f23440])). 21.91/21.79 fof(f23440,plain,( 21.91/21.79 ( ! [X6,X5] : (mult(rd(X5,mult(X6,X5)),X5) = ld(X6,X5)) )), 21.91/21.79 inference(forward_demodulation,[],[f23160,f18])). 21.91/21.79 fof(f23160,plain,( 21.91/21.79 ( ! [X6,X5] : (mult(rd(X5,mult(X6,X5)),X5) = ld(X6,mult(unit,X5))) )), 21.91/21.79 inference(superposition,[],[f257,f17839])). 21.91/21.79 fof(f112846,plain,( 21.91/21.79 ( ! [X116,X117,X115] : (mult(X117,ld(mult(X116,X115),X115)) = rd(X117,mult(ld(X115,X116),X115))) )), 21.91/21.79 inference(superposition,[],[f28274,f103729])). 21.91/21.79 fof(f28274,plain,( 21.91/21.79 ( ! [X8,X7,X9] : (mult(X9,ld(X7,X8)) = rd(X9,ld(X8,X7))) )), 21.91/21.79 inference(superposition,[],[f18066,f20722])). 21.91/21.79 fof(f202769,plain,( 21.91/21.79 mult(rd(a,mult(ld(a,c),a)),c) = a | ~spl0_13204), 21.91/21.79 inference(forward_demodulation,[],[f202295,f56819])). 21.91/21.79 fof(f202295,plain,( 21.91/21.79 mult(rd(ld(ld(a,c),a),a),c) = a | ~spl0_13204), 21.91/21.79 inference(superposition,[],[f20833,f199226])). 21.91/21.79 fof(f199226,plain,( 21.91/21.79 mult(ld(a,c),a) = c | ~spl0_13204), 21.91/21.79 inference(avatar_component_clause,[],[f199225])). 21.91/21.79 fof(f271560,plain,( 21.91/21.79 spl0_992 | ~spl0_12548), 21.91/21.79 inference(avatar_split_clause,[],[f232982,f196775,f37582])). 21.91/21.79 fof(f232982,plain,( 21.91/21.79 mult(a,c) = rd(mult(c,mult(a,b)),b) | ~spl0_12548), 21.91/21.79 inference(superposition,[],[f1176,f196776])). 21.91/21.79 fof(f1176,plain,( 21.91/21.79 mult(a,c) = rd(mult(mult(a,b),c),b)), 21.91/21.79 inference(trivial_inequality_removal,[],[f1145])). 21.91/21.79 fof(f1145,plain,( 21.91/21.79 mult(a,mult(b,c)) != mult(a,mult(b,c)) | mult(a,c) = rd(mult(mult(a,b),c),b)), 21.91/21.79 inference(superposition,[],[f16,f98])). 21.91/21.79 fof(f98,plain,( 21.91/21.79 ( ! [X17,X15,X16] : (mult(X15,mult(X17,X16)) = mult(mult(X15,X17),X16) | mult(X15,X16) = rd(mult(mult(X15,X17),X16),X17)) )), 21.91/21.79 inference(superposition,[],[f20,f25])). 21.91/21.79 fof(f271416,plain,( 21.91/21.79 spl0_7226 | ~spl0_7086), 21.91/21.79 inference(avatar_split_clause,[],[f271415,f114420,f114965])). 21.91/21.79 fof(f114965,plain,( 21.91/21.79 spl0_7226 <=> mult(b,c) = rd(mult(b,mult(c,a)),a)), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7226])])). 21.91/21.79 fof(f114420,plain,( 21.91/21.79 spl0_7086 <=> ! [X2] : mult(X2,mult(b,c)) = rd(mult(X2,mult(b,mult(c,a))),a)), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7086])])). 21.91/21.79 fof(f271415,plain,( 21.91/21.79 mult(b,c) = rd(mult(b,mult(c,a)),a) | ~spl0_7086), 21.91/21.79 inference(forward_demodulation,[],[f233900,f18])). 21.91/21.79 fof(f233900,plain,( 21.91/21.79 mult(unit,mult(b,c)) = rd(mult(b,mult(c,a)),a) | ~spl0_7086), 21.91/21.79 inference(superposition,[],[f114421,f18])). 21.91/21.79 fof(f114421,plain,( 21.91/21.79 ( ! [X2] : (mult(X2,mult(b,c)) = rd(mult(X2,mult(b,mult(c,a))),a)) ) | ~spl0_7086), 21.91/21.79 inference(avatar_component_clause,[],[f114420])). 21.91/21.79 fof(f271224,plain,( 21.91/21.79 spl0_7472), 21.91/21.79 inference(avatar_split_clause,[],[f211815,f119716])). 21.91/21.79 fof(f119716,plain,( 21.91/21.79 spl0_7472 <=> mult(a,b) = rd(mult(a,mult(b,mult(c,c))),mult(c,c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7472])])). 21.91/21.79 fof(f211815,plain,( 21.91/21.79 mult(a,b) = rd(mult(a,mult(b,mult(c,c))),mult(c,c))), 21.91/21.79 inference(superposition,[],[f20,f1438])). 21.91/21.79 fof(f1438,plain,( 21.91/21.79 mult(mult(a,b),mult(c,c)) = mult(a,mult(b,mult(c,c)))), 21.91/21.79 inference(forward_demodulation,[],[f1437,f60])). 21.91/21.79 fof(f1437,plain,( 21.91/21.79 mult(mult(a,b),mult(c,c)) = mult(a,mult(mult(b,c),c))), 21.91/21.79 inference(forward_demodulation,[],[f1436,f152])). 21.91/21.79 fof(f1436,plain,( 21.91/21.79 mult(mult(a,b),mult(c,c)) = mult(a,mult(mult(c,b),c))), 21.91/21.79 inference(forward_demodulation,[],[f1432,f23])). 21.91/21.79 fof(f1432,plain,( 21.91/21.79 mult(mult(mult(a,c),b),c) = mult(mult(a,b),mult(c,c))), 21.91/21.79 inference(superposition,[],[f161,f737])). 21.91/21.79 fof(f737,plain,( 21.91/21.79 mult(a,b) = rd(mult(mult(a,c),b),c)), 21.91/21.79 inference(superposition,[],[f37,f707])). 21.91/21.79 fof(f707,plain,( 21.91/21.79 ld(mult(a,b),mult(mult(a,c),b)) = c), 21.91/21.79 inference(trivial_inequality_removal,[],[f682])). 21.91/21.79 fof(f682,plain,( 21.91/21.79 mult(a,mult(b,c)) != mult(a,mult(b,c)) | ld(mult(a,b),mult(mult(a,c),b)) = c), 21.91/21.79 inference(superposition,[],[f16,f91])). 21.91/21.79 fof(f91,plain,( 21.91/21.79 ( ! [X14,X12,X13] : (mult(X12,mult(X13,X14)) = mult(mult(X12,X13),X14) | ld(mult(X12,X13),mult(mult(X12,X14),X13)) = X14) )), 21.91/21.79 inference(superposition,[],[f22,f25])). 21.91/21.79 fof(f161,plain,( 21.91/21.79 ( ! [X17,X18] : (mult(X17,X18) = mult(rd(X17,X18),mult(X18,X18))) )), 21.91/21.79 inference(superposition,[],[f60,f19])). 21.91/21.79 fof(f267469,plain,( 21.91/21.79 spl0_7108 | ~spl0_1040), 21.91/21.79 inference(avatar_split_clause,[],[f123286,f38210,f114489])). 21.91/21.79 fof(f123286,plain,( 21.91/21.79 ( ! [X6] : (mult(X6,mult(b,c)) = mult(mult(X6,a),ld(a,mult(b,c)))) ) | ~spl0_1040), 21.91/21.79 inference(superposition,[],[f384,f38211])). 21.91/21.79 fof(f266731,plain,( 21.91/21.79 spl0_24224 | ~spl0_14138), 21.91/21.79 inference(avatar_split_clause,[],[f236056,f203694,f266729])). 21.91/21.79 fof(f203694,plain,( 21.91/21.79 spl0_14138 <=> ld(a,c) = ld(mult(b,a),mult(b,c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_14138])])). 21.91/21.79 fof(f236056,plain,( 21.91/21.79 rd(mult(mult(b,c),a),mult(c,a)) = b | ~spl0_14138), 21.91/21.79 inference(forward_demodulation,[],[f236055,f95291])). 21.91/21.79 fof(f236055,plain,( 21.91/21.79 rd(mult(mult(b,c),a),mult(a,mult(ld(a,c),a))) = b | ~spl0_14138), 21.91/21.79 inference(forward_demodulation,[],[f235994,f91605])). 21.91/21.79 fof(f235994,plain,( 21.91/21.79 rd(mult(mult(b,c),a),mult(mult(a,ld(a,c)),a)) = b | ~spl0_14138), 21.91/21.79 inference(superposition,[],[f256,f203695])). 21.91/21.79 fof(f203695,plain,( 21.91/21.79 ld(a,c) = ld(mult(b,a),mult(b,c)) | ~spl0_14138), 21.91/21.79 inference(avatar_component_clause,[],[f203694])). 21.91/21.79 fof(f265642,plain,( 21.91/21.79 ~spl0_14462 | ~spl0_19668), 21.91/21.79 inference(avatar_contradiction_clause,[],[f265641])). 21.91/21.79 fof(f265641,plain,( 21.91/21.79 $false | (~spl0_14462 | ~spl0_19668)), 21.91/21.79 inference(subsumption_resolution,[],[f265640,f16])). 21.91/21.79 fof(f265640,plain,( 21.91/21.79 mult(mult(a,b),c) = mult(a,mult(b,c)) | (~spl0_14462 | ~spl0_19668)), 21.91/21.79 inference(forward_demodulation,[],[f205724,f244390])). 21.91/21.79 fof(f244390,plain,( 21.91/21.79 ( ! [X0] : (mult(X0,mult(b,c)) = mult(b,mult(mult(ld(b,X0),c),b))) ) | ~spl0_19668), 21.91/21.79 inference(avatar_component_clause,[],[f244389])). 21.91/21.79 fof(f244389,plain,( 21.91/21.79 spl0_19668 <=> ! [X0] : mult(X0,mult(b,c)) = mult(b,mult(mult(ld(b,X0),c),b))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_19668])])). 21.91/21.79 fof(f205724,plain,( 21.91/21.79 mult(mult(a,b),c) = mult(b,mult(mult(ld(b,a),c),b)) | ~spl0_14462), 21.91/21.79 inference(avatar_component_clause,[],[f205723])). 21.91/21.79 fof(f205723,plain,( 21.91/21.79 spl0_14462 <=> mult(mult(a,b),c) = mult(b,mult(mult(ld(b,a),c),b))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_14462])])). 21.91/21.79 fof(f265585,plain,( 21.91/21.79 spl0_11840 | ~spl0_14454), 21.91/21.79 inference(avatar_split_clause,[],[f238710,f205706,f193694])). 21.91/21.79 fof(f193694,plain,( 21.91/21.79 spl0_11840 <=> mult(a,c) = mult(b,mult(ld(b,a),c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_11840])])). 21.91/21.79 fof(f205706,plain,( 21.91/21.79 spl0_14454 <=> mult(mult(a,c),ld(c,ld(a,b))) = b), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_14454])])). 21.91/21.79 fof(f238710,plain,( 21.91/21.79 mult(a,c) = mult(b,mult(ld(b,a),c)) | ~spl0_14454), 21.91/21.79 inference(forward_demodulation,[],[f238651,f92313])). 21.91/21.79 fof(f238651,plain,( 21.91/21.79 mult(a,c) = mult(b,ld(ld(a,b),c)) | ~spl0_14454), 21.91/21.79 inference(superposition,[],[f28278,f205707])). 21.91/21.79 fof(f205707,plain,( 21.91/21.79 mult(mult(a,c),ld(c,ld(a,b))) = b | ~spl0_14454), 21.91/21.79 inference(avatar_component_clause,[],[f205706])). 21.91/21.79 fof(f28278,plain,( 21.91/21.79 ( ! [X19,X17,X18] : (mult(mult(X19,ld(X17,X18)),ld(X18,X17)) = X19) )), 21.91/21.79 inference(superposition,[],[f17724,f20722])). 21.91/21.79 fof(f260439,plain,( 21.91/21.79 spl0_23042 | ~spl0_7192 | ~spl0_7472 | ~spl0_22690), 21.91/21.79 inference(avatar_split_clause,[],[f260438,f258953,f119716,f114850,f260316])). 21.91/21.79 fof(f114850,plain,( 21.91/21.79 spl0_7192 <=> mult(mult(a,mult(b,c)),c) = mult(b,mult(c,mult(a,c)))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7192])])). 21.91/21.79 fof(f258953,plain,( 21.91/21.79 spl0_22690 <=> mult(a,mult(b,mult(c,c))) = mult(b,mult(c,mult(a,c)))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_22690])])). 21.91/21.79 fof(f260438,plain,( 21.91/21.79 mult(a,b) = mult(c,mult(ld(c,a),b)) | (~spl0_7192 | ~spl0_7472 | ~spl0_22690)), 21.91/21.79 inference(forward_demodulation,[],[f260437,f119717])). 21.91/21.79 fof(f119717,plain,( 21.91/21.79 mult(a,b) = rd(mult(a,mult(b,mult(c,c))),mult(c,c)) | ~spl0_7472), 21.91/21.79 inference(avatar_component_clause,[],[f119716])). 21.91/21.79 fof(f260437,plain,( 21.91/21.79 mult(c,mult(ld(c,a),b)) = rd(mult(a,mult(b,mult(c,c))),mult(c,c)) | (~spl0_7192 | ~spl0_22690)), 21.91/21.79 inference(forward_demodulation,[],[f258934,f258954])). 21.91/21.79 fof(f258954,plain,( 21.91/21.79 mult(a,mult(b,mult(c,c))) = mult(b,mult(c,mult(a,c))) | ~spl0_22690), 21.91/21.79 inference(avatar_component_clause,[],[f258953])). 21.91/21.79 fof(f258934,plain,( 21.91/21.79 mult(c,mult(ld(c,a),b)) = rd(mult(b,mult(c,mult(a,c))),mult(c,c)) | ~spl0_7192), 21.91/21.79 inference(forward_demodulation,[],[f258933,f129819])). 21.91/21.79 fof(f258933,plain,( 21.91/21.79 mult(mult(a,c),ld(c,b)) = rd(mult(b,mult(c,mult(a,c))),mult(c,c)) | ~spl0_7192), 21.91/21.79 inference(forward_demodulation,[],[f238160,f384])). 21.91/21.79 fof(f238160,plain,( 21.91/21.79 rd(mult(a,mult(b,c)),c) = rd(mult(b,mult(c,mult(a,c))),mult(c,c)) | ~spl0_7192), 21.91/21.79 inference(superposition,[],[f444,f114851])). 21.91/21.79 fof(f114851,plain,( 21.91/21.79 mult(mult(a,mult(b,c)),c) = mult(b,mult(c,mult(a,c))) | ~spl0_7192), 21.91/21.79 inference(avatar_component_clause,[],[f114850])). 21.91/21.79 fof(f444,plain,( 21.91/21.79 ( ! [X0,X1] : (rd(X0,X1) = rd(mult(X0,X1),mult(X1,X1))) )), 21.91/21.79 inference(superposition,[],[f20,f161])). 21.91/21.79 fof(f258961,plain,( 21.91/21.79 spl0_22690 | ~spl0_11838 | ~spl0_12900), 21.91/21.79 inference(avatar_split_clause,[],[f258960,f197960,f193689,f258953])). 21.91/21.79 fof(f193689,plain,( 21.91/21.79 spl0_11838 <=> mult(a,mult(c,c)) = mult(b,mult(c,mult(ld(b,a),c)))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_11838])])). 21.91/21.79 fof(f197960,plain,( 21.91/21.79 spl0_12900 <=> ! [X44] : mult(rd(c,X44),mult(a,mult(b,c))) = mult(c,mult(ld(X44,mult(b,a)),c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_12900])])). 21.91/21.79 fof(f258960,plain,( 21.91/21.79 mult(a,mult(b,mult(c,c))) = mult(b,mult(c,mult(a,c))) | (~spl0_11838 | ~spl0_12900)), 21.91/21.79 inference(forward_demodulation,[],[f249010,f246205])). 21.91/21.79 fof(f246205,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(a,mult(b,mult(c,c)))), 21.91/21.79 inference(forward_demodulation,[],[f246204,f100314])). 21.91/21.79 fof(f100314,plain,( 21.91/21.79 ( ! [X368,X369] : (mult(X369,X369) = mult(rd(X369,X368),mult(X368,X369))) )), 21.91/21.79 inference(forward_demodulation,[],[f99891,f93644])). 21.91/21.79 fof(f99891,plain,( 21.91/21.79 ( ! [X368,X369] : (mult(X369,X369) = mult(ld(rd(X368,X369),unit),mult(X368,X369))) )), 21.91/21.79 inference(superposition,[],[f93570,f161])). 21.91/21.79 fof(f246204,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(a,mult(b,mult(rd(c,b),mult(b,c))))), 21.91/21.79 inference(forward_demodulation,[],[f246203,f152])). 21.91/21.79 fof(f246203,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(a,mult(b,mult(rd(c,b),mult(c,b))))), 21.91/21.79 inference(forward_demodulation,[],[f246195,f97105])). 21.91/21.79 fof(f97105,plain,( 21.91/21.79 ( ! [X191,X192,X193] : (mult(X192,mult(rd(X191,X192),mult(X193,X192))) = mult(mult(X192,mult(X191,ld(X192,X193))),X192)) )), 21.91/21.79 inference(forward_demodulation,[],[f97104,f92719])). 21.91/21.79 fof(f97104,plain,( 21.91/21.79 ( ! [X191,X192,X193] : (mult(mult(X192,mult(X191,ld(X192,X193))),X192) = ld(ld(X192,unit),mult(rd(X191,X192),mult(X193,X192)))) )), 21.91/21.79 inference(forward_demodulation,[],[f96930,f21414])). 21.91/21.79 fof(f96930,plain,( 21.91/21.79 ( ! [X191,X192,X193] : (mult(mult(X192,mult(X191,ld(X192,X193))),X192) = ld(rd(unit,X192),mult(rd(X191,X192),mult(X193,X192)))) )), 21.91/21.79 inference(superposition,[],[f14719,f190])). 21.91/21.79 fof(f246195,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(a,mult(mult(b,mult(c,ld(b,c))),b))), 21.91/21.79 inference(superposition,[],[f23,f144749])). 21.91/21.79 fof(f144749,plain,( 21.91/21.79 mult(a,mult(c,c)) = mult(mult(a,b),mult(c,ld(b,c)))), 21.91/21.79 inference(forward_demodulation,[],[f144748,f60])). 21.91/21.79 fof(f144748,plain,( 21.91/21.79 mult(mult(a,c),c) = mult(mult(a,b),mult(c,ld(b,c)))), 21.91/21.79 inference(forward_demodulation,[],[f144747,f92001])). 21.91/21.79 fof(f144747,plain,( 21.91/21.79 mult(mult(a,c),c) = mult(mult(a,b),mult(c,mult(ld(b,unit),c)))), 21.91/21.79 inference(forward_demodulation,[],[f144681,f91605])). 21.91/21.79 fof(f144681,plain,( 21.91/21.79 mult(mult(a,c),c) = mult(mult(a,b),mult(mult(c,ld(b,unit)),c))), 21.91/21.79 inference(superposition,[],[f736,f17724])). 21.91/21.79 fof(f736,plain,( 21.91/21.79 ( ! [X0] : (mult(mult(mult(mult(a,c),b),X0),c) = mult(mult(a,b),mult(mult(c,X0),c))) )), 21.91/21.79 inference(superposition,[],[f47,f707])). 21.91/21.79 fof(f249010,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(b,mult(c,mult(a,c))) | (~spl0_11838 | ~spl0_12900)), 21.91/21.79 inference(forward_demodulation,[],[f249009,f22])). 21.91/21.79 fof(f249009,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(b,mult(c,mult(ld(b,mult(b,a)),c))) | (~spl0_11838 | ~spl0_12900)), 21.91/21.79 inference(forward_demodulation,[],[f249008,f197961])). 21.91/21.79 fof(f197961,plain,( 21.91/21.79 ( ! [X44] : (mult(rd(c,X44),mult(a,mult(b,c))) = mult(c,mult(ld(X44,mult(b,a)),c))) ) | ~spl0_12900), 21.91/21.79 inference(avatar_component_clause,[],[f197960])). 21.91/21.79 fof(f249008,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(b,mult(rd(c,b),mult(a,mult(b,c)))) | ~spl0_11838), 21.91/21.79 inference(forward_demodulation,[],[f249007,f144])). 21.91/21.79 fof(f249007,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(b,mult(rd(c,b),mult(a,mult(c,b)))) | ~spl0_11838), 21.91/21.79 inference(forward_demodulation,[],[f248964,f160263])). 21.91/21.79 fof(f248964,plain,( 21.91/21.79 mult(mult(a,mult(c,c)),b) = mult(b,mult(mult(c,mult(ld(b,a),c)),b)) | ~spl0_11838), 21.91/21.79 inference(superposition,[],[f91605,f193690])). 21.91/21.79 fof(f193690,plain,( 21.91/21.79 mult(a,mult(c,c)) = mult(b,mult(c,mult(ld(b,a),c))) | ~spl0_11838), 21.91/21.79 inference(avatar_component_clause,[],[f193689])). 21.91/21.79 fof(f254046,plain,( 21.91/21.79 spl0_7082 | ~spl0_7210), 21.91/21.79 inference(avatar_split_clause,[],[f200138,f114922,f114413])). 21.91/21.79 fof(f114413,plain,( 21.91/21.79 spl0_7082 <=> mult(mult(b,a),c) = mult(b,mult(a,c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7082])])). 21.91/21.79 fof(f114922,plain,( 21.91/21.79 spl0_7210 <=> ld(mult(b,a),mult(b,mult(a,c))) = c), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7210])])). 21.91/21.79 fof(f200138,plain,( 21.91/21.79 mult(mult(b,a),c) = mult(b,mult(a,c)) | ~spl0_7210), 21.91/21.79 inference(superposition,[],[f21,f114923])). 21.91/21.79 fof(f114923,plain,( 21.91/21.79 ld(mult(b,a),mult(b,mult(a,c))) = c | ~spl0_7210), 21.91/21.79 inference(avatar_component_clause,[],[f114922])). 21.91/21.79 fof(f244439,plain,( 21.91/21.79 spl0_19668), 21.91/21.79 inference(avatar_split_clause,[],[f244438,f244389])). 21.91/21.79 fof(f244438,plain,( 21.91/21.79 ( ! [X14] : (mult(X14,mult(b,c)) = mult(b,mult(mult(ld(b,X14),c),b))) )), 21.91/21.79 inference(forward_demodulation,[],[f244346,f92719])). 21.91/21.79 fof(f244346,plain,( 21.91/21.79 ( ! [X14] : (mult(X14,mult(b,c)) = mult(b,mult(ld(ld(ld(b,X14),unit),c),b))) )), 21.91/21.79 inference(superposition,[],[f127391,f20721])). 21.91/21.79 fof(f20721,plain,( 21.91/21.79 ( ! [X4,X5] : (rd(X5,ld(ld(X5,X4),unit)) = X4) )), 21.91/21.79 inference(superposition,[],[f20,f17778])). 21.91/21.79 fof(f127391,plain,( 21.91/21.79 ( ! [X403] : (mult(rd(b,X403),mult(b,c)) = mult(b,mult(ld(X403,c),b))) )), 21.91/21.79 inference(forward_demodulation,[],[f127390,f91605])). 21.91/21.79 fof(f127390,plain,( 21.91/21.79 ( ! [X403] : (mult(mult(b,ld(X403,c)),b) = mult(rd(b,X403),mult(b,c))) )), 21.91/21.79 inference(forward_demodulation,[],[f127068,f101227])). 21.91/21.79 fof(f127068,plain,( 21.91/21.79 ( ! [X403] : (mult(mult(b,ld(X403,c)),b) = ld(rd(X403,b),mult(b,c))) )), 21.91/21.79 inference(superposition,[],[f14653,f152])). 21.91/21.79 fof(f236570,plain,( 21.91/21.79 spl0_14266 | ~spl0_7788), 21.91/21.79 inference(avatar_split_clause,[],[f210202,f123002,f204425])). 21.91/21.79 fof(f204425,plain,( 21.91/21.79 spl0_14266 <=> rd(mult(b,c),mult(ld(a,b),c)) = a), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_14266])])). 21.91/21.79 fof(f210202,plain,( 21.91/21.79 rd(mult(b,c),mult(ld(a,b),c)) = a | ~spl0_7788), 21.91/21.79 inference(forward_demodulation,[],[f210201,f20])). 21.91/21.79 fof(f210201,plain,( 21.91/21.79 rd(mult(b,c),mult(ld(a,rd(mult(b,a),a)),c)) = a | ~spl0_7788), 21.91/21.79 inference(forward_demodulation,[],[f210200,f169437])). 21.91/21.79 fof(f169437,plain,( 21.91/21.79 ( ! [X125,X123,X124] : (mult(ld(X124,rd(X123,X124)),X125) = ld(X124,mult(X123,ld(X124,X125)))) )), 21.91/21.79 inference(forward_demodulation,[],[f169191,f169421])). 21.91/21.79 fof(f169421,plain,( 21.91/21.79 ( ! [X107,X105,X106] : (mult(ld(X106,X105),X107) = rd(ld(X106,mult(X105,mult(X107,X106))),X106)) )), 21.91/21.79 inference(forward_demodulation,[],[f169420,f22])). 21.91/21.79 fof(f169420,plain,( 21.91/21.79 ( ! [X107,X105,X106] : (ld(X106,mult(X106,mult(ld(X106,X105),X107))) = rd(ld(X106,mult(X105,mult(X107,X106))),X106)) )), 21.91/21.79 inference(forward_demodulation,[],[f169183,f129819])). 21.91/21.79 fof(f169183,plain,( 21.91/21.79 ( ! [X107,X105,X106] : (ld(X106,mult(mult(X105,X106),ld(X106,X107))) = rd(ld(X106,mult(X105,mult(X107,X106))),X106)) )), 21.91/21.79 inference(superposition,[],[f92103,f16708])). 21.91/21.79 fof(f16708,plain,( 21.91/21.79 ( ! [X14,X12,X13] : (mult(X12,mult(X14,X13)) = mult(mult(mult(X12,X13),ld(X13,X14)),X13)) )), 21.91/21.79 inference(superposition,[],[f21,f322])). 21.91/21.79 fof(f322,plain,( 21.91/21.79 ( ! [X4,X2,X3] : (ld(mult(mult(X4,X2),ld(X2,X3)),mult(X4,mult(X3,X2))) = X2) )), 21.91/21.79 inference(superposition,[],[f56,f21])). 21.91/21.79 fof(f92103,plain,( 21.91/21.79 ( ! [X130,X129] : (ld(X129,X130) = rd(ld(X129,mult(X130,X129)),X129)) )), 21.91/21.79 inference(forward_demodulation,[],[f92102,f92001])). 21.91/21.79 fof(f92102,plain,( 21.91/21.79 ( ! [X130,X129] : (mult(ld(X129,unit),X130) = rd(ld(X129,mult(X130,X129)),X129)) )), 21.91/21.79 inference(forward_demodulation,[],[f92101,f18066])). 21.91/21.79 fof(f92101,plain,( 21.91/21.79 ( ! [X130,X129] : (mult(ld(X129,unit),X130) = rd(ld(X129,rd(X130,ld(X129,unit))),X129)) )), 21.91/21.79 inference(forward_demodulation,[],[f91713,f92001])). 21.91/21.79 fof(f91713,plain,( 21.91/21.79 ( ! [X130,X129] : (mult(ld(X129,unit),X130) = rd(mult(ld(X129,unit),rd(X130,ld(X129,unit))),X129)) )), 21.91/21.79 inference(superposition,[],[f64312,f17839])). 21.91/21.79 fof(f169191,plain,( 21.91/21.79 ( ! [X125,X123,X124] : (ld(X124,mult(X123,ld(X124,X125))) = rd(ld(X124,mult(rd(X123,X124),mult(X125,X124))),X124)) )), 21.91/21.79 inference(superposition,[],[f92103,f190])). 21.91/21.79 fof(f210200,plain,( 21.91/21.79 rd(mult(b,c),ld(a,mult(mult(b,a),ld(a,c)))) = a | ~spl0_7788), 21.91/21.79 inference(forward_demodulation,[],[f210199,f167940])). 21.91/21.79 fof(f167940,plain,( 21.91/21.79 ( ! [X61,X62,X63] : (mult(ld(X61,X62),mult(ld(X62,X63),ld(X61,X62))) = ld(X61,mult(X63,ld(X61,X62)))) )), 21.91/21.79 inference(superposition,[],[f91605,f16053])). 21.91/21.79 fof(f16053,plain,( 21.91/21.79 ( ! [X4,X2,X3] : (mult(mult(ld(X2,X3),ld(X3,X4)),ld(X2,X3)) = ld(X2,mult(X4,ld(X2,X3)))) )), 21.91/21.79 inference(superposition,[],[f257,f21])). 21.91/21.79 fof(f210199,plain,( 21.91/21.79 rd(mult(b,c),mult(ld(a,c),mult(ld(c,mult(b,a)),ld(a,c)))) = a | ~spl0_7788), 21.91/21.79 inference(forward_demodulation,[],[f210101,f91605])). 21.91/21.79 fof(f210101,plain,( 21.91/21.79 rd(mult(b,c),mult(mult(ld(a,c),ld(c,mult(b,a))),ld(a,c))) = a | ~spl0_7788), 21.91/21.79 inference(superposition,[],[f15724,f123003])). 21.91/21.79 fof(f123003,plain,( 21.91/21.79 mult(b,c) = mult(mult(b,a),ld(a,c)) | ~spl0_7788), 21.91/21.79 inference(avatar_component_clause,[],[f123002])). 21.91/21.79 fof(f15724,plain,( 21.91/21.79 ( ! [X4,X2,X3] : (rd(mult(X4,ld(X2,X3)),mult(mult(ld(X2,X3),ld(X3,X4)),ld(X2,X3))) = X2) )), 21.91/21.79 inference(superposition,[],[f256,f21])). 21.91/21.79 fof(f236436,plain,( 21.91/21.79 spl0_14454 | ~spl0_14266), 21.91/21.79 inference(avatar_split_clause,[],[f236435,f204425,f205706])). 21.91/21.79 fof(f236435,plain,( 21.91/21.79 mult(mult(a,c),ld(c,ld(a,b))) = b | ~spl0_14266), 21.91/21.79 inference(forward_demodulation,[],[f236404,f20])). 21.91/21.79 fof(f236404,plain,( 21.91/21.79 mult(mult(a,c),ld(c,ld(a,b))) = rd(mult(b,c),c) | ~spl0_14266), 21.91/21.79 inference(superposition,[],[f17688,f204426])). 21.91/21.79 fof(f204426,plain,( 21.91/21.79 rd(mult(b,c),mult(ld(a,b),c)) = a | ~spl0_14266), 21.91/21.79 inference(avatar_component_clause,[],[f204425])). 21.91/21.79 fof(f234677,plain,( 21.91/21.79 spl0_18082 | ~spl0_7108), 21.91/21.79 inference(avatar_split_clause,[],[f234555,f114489,f234675])). 21.91/21.79 fof(f234555,plain,( 21.91/21.79 ( ! [X61] : (ld(a,mult(b,c)) = ld(mult(X61,a),mult(X61,mult(b,c)))) ) | ~spl0_7108), 21.91/21.79 inference(superposition,[],[f22,f114490])). 21.91/21.79 fof(f213714,plain,( 21.91/21.79 spl0_13204 | ~spl0_12784), 21.91/21.79 inference(avatar_split_clause,[],[f201287,f197533,f199225])). 21.91/21.79 fof(f201287,plain,( 21.91/21.79 mult(ld(a,c),a) = c | ~spl0_12784), 21.91/21.79 inference(forward_demodulation,[],[f200655,f22])). 21.91/21.79 fof(f200655,plain,( 21.91/21.79 mult(ld(a,c),a) = ld(a,mult(a,c)) | ~spl0_12784), 21.91/21.79 inference(superposition,[],[f103729,f197534])). 21.91/21.79 fof(f207384,plain,( 21.91/21.79 spl0_12548 | ~spl0_984), 21.91/21.79 inference(avatar_split_clause,[],[f207295,f37559,f196775])). 21.91/21.79 fof(f207295,plain,( 21.91/21.79 mult(mult(a,b),c) = mult(c,mult(a,b)) | ~spl0_984), 21.91/21.79 inference(superposition,[],[f21,f37560])). 21.91/21.79 fof(f37560,plain,( 21.91/21.79 ld(mult(a,b),mult(c,mult(a,b))) = c | ~spl0_984), 21.91/21.79 inference(avatar_component_clause,[],[f37559])). 21.91/21.79 fof(f205725,plain,( 21.91/21.79 spl0_14462 | ~spl0_11840), 21.91/21.79 inference(avatar_split_clause,[],[f205721,f193694,f205723])). 21.91/21.79 fof(f205721,plain,( 21.91/21.79 mult(mult(a,b),c) = mult(b,mult(mult(ld(b,a),c),b)) | ~spl0_11840), 21.91/21.79 inference(forward_demodulation,[],[f205593,f738])). 21.91/21.79 fof(f738,plain,( 21.91/21.79 mult(mult(a,b),c) = mult(mult(a,c),b)), 21.91/21.79 inference(superposition,[],[f21,f707])). 21.91/21.79 fof(f205593,plain,( 21.91/21.79 mult(mult(a,c),b) = mult(b,mult(mult(ld(b,a),c),b)) | ~spl0_11840), 21.91/21.79 inference(superposition,[],[f91605,f193695])). 21.91/21.79 fof(f193695,plain,( 21.91/21.79 mult(a,c) = mult(b,mult(ld(b,a),c)) | ~spl0_11840), 21.91/21.79 inference(avatar_component_clause,[],[f193694])). 21.91/21.79 fof(f204438,plain,( 21.91/21.79 spl0_14266 | ~spl0_7226), 21.91/21.79 inference(avatar_split_clause,[],[f204437,f114965,f204425])). 21.91/21.79 fof(f204437,plain,( 21.91/21.79 rd(mult(b,c),mult(ld(a,b),c)) = a | ~spl0_7226), 21.91/21.79 inference(forward_demodulation,[],[f204364,f169421])). 21.91/21.79 fof(f204364,plain,( 21.91/21.79 rd(mult(b,c),rd(ld(a,mult(b,mult(c,a))),a)) = a | ~spl0_7226), 21.91/21.79 inference(superposition,[],[f91240,f114966])). 21.91/21.79 fof(f114966,plain,( 21.91/21.79 mult(b,c) = rd(mult(b,mult(c,a)),a) | ~spl0_7226), 21.91/21.79 inference(avatar_component_clause,[],[f114965])). 21.91/21.79 fof(f91240,plain,( 21.91/21.79 ( ! [X23,X22] : (rd(rd(X23,X22),rd(ld(X22,X23),X22)) = X22) )), 21.91/21.79 inference(superposition,[],[f20,f64208])). 21.91/21.79 fof(f64208,plain,( 21.91/21.79 ( ! [X92,X91] : (mult(X91,rd(ld(X91,X92),X91)) = rd(X92,X91)) )), 21.91/21.79 inference(superposition,[],[f64156,f21])). 21.91/21.79 fof(f203696,plain,( 21.91/21.79 spl0_14138 | ~spl0_7218), 21.91/21.79 inference(avatar_split_clause,[],[f203692,f114943,f203694])). 21.91/21.79 fof(f203692,plain,( 21.91/21.79 ld(a,c) = ld(mult(b,a),mult(b,c)) | ~spl0_7218), 21.91/21.79 inference(forward_demodulation,[],[f203504,f20722])). 21.91/21.79 fof(f203504,plain,( 21.91/21.79 ld(ld(c,a),unit) = ld(mult(b,a),mult(b,c)) | ~spl0_7218), 21.91/21.79 inference(superposition,[],[f18068,f114944])). 21.91/21.79 fof(f114944,plain,( 21.91/21.79 mult(b,a) = mult(mult(b,c),ld(c,a)) | ~spl0_7218), 21.91/21.79 inference(avatar_component_clause,[],[f114943])). 21.91/21.79 fof(f203042,plain,( 21.91/21.79 spl0_13998 | ~spl0_7214), 21.91/21.79 inference(avatar_split_clause,[],[f203038,f114933,f203040])). 21.91/21.79 fof(f203038,plain,( 21.91/21.79 ( ! [X77] : (ld(rd(mult(c,mult(ld(c,a),b)),X77),mult(b,a)) = X77) ) | ~spl0_7214), 21.91/21.79 inference(forward_demodulation,[],[f203037,f129819])). 21.91/21.79 fof(f203037,plain,( 21.91/21.79 ( ! [X77] : (ld(rd(mult(mult(a,c),ld(c,b)),X77),mult(b,a)) = X77) ) | ~spl0_7214), 21.91/21.79 inference(forward_demodulation,[],[f202935,f17615])). 21.91/21.79 fof(f17615,plain,( 21.91/21.79 ( ! [X246,X248,X247] : (mult(mult(X248,X247),ld(X247,rd(X246,X247))) = rd(mult(X248,X246),X247)) )), 21.91/21.79 inference(superposition,[],[f384,f19])). 21.91/21.79 fof(f202935,plain,( 21.91/21.79 ( ! [X77] : (ld(mult(mult(mult(a,c),X77),ld(X77,rd(ld(c,b),X77))),mult(b,a)) = X77) ) | ~spl0_7214), 21.91/21.79 inference(superposition,[],[f16626,f114934])). 21.91/21.79 fof(f16626,plain,( 21.91/21.79 ( ! [X253,X254,X252] : (ld(mult(mult(X254,X253),ld(X253,rd(X252,X253))),mult(X254,X252)) = X253) )), 21.91/21.79 inference(superposition,[],[f322,f19])). 21.91/21.79 fof(f197962,plain,( 21.91/21.79 spl0_12900 | ~spl0_7162), 21.91/21.79 inference(avatar_split_clause,[],[f197958,f114769,f197960])). 21.91/21.79 fof(f114769,plain,( 21.91/21.79 spl0_7162 <=> mult(mult(b,a),c) = mult(a,mult(b,c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7162])])). 21.91/21.79 fof(f197958,plain,( 21.91/21.79 ( ! [X44] : (mult(rd(c,X44),mult(a,mult(b,c))) = mult(c,mult(ld(X44,mult(b,a)),c))) ) | ~spl0_7162), 21.91/21.79 inference(forward_demodulation,[],[f197957,f91605])). 21.91/21.79 fof(f197957,plain,( 21.91/21.79 ( ! [X44] : (mult(mult(c,ld(X44,mult(b,a))),c) = mult(rd(c,X44),mult(a,mult(b,c)))) ) | ~spl0_7162), 21.91/21.79 inference(forward_demodulation,[],[f197786,f101227])). 21.91/21.79 fof(f197786,plain,( 21.91/21.79 ( ! [X44] : (mult(mult(c,ld(X44,mult(b,a))),c) = ld(rd(X44,c),mult(a,mult(b,c)))) ) | ~spl0_7162), 21.91/21.79 inference(superposition,[],[f14653,f114770])). 21.91/21.79 fof(f114770,plain,( 21.91/21.79 mult(mult(b,a),c) = mult(a,mult(b,c)) | ~spl0_7162), 21.91/21.79 inference(avatar_component_clause,[],[f114769])). 21.91/21.79 fof(f197871,plain,( 21.91/21.79 spl0_12862 | ~spl0_7162 | spl0_7197), 21.91/21.79 inference(avatar_split_clause,[],[f197870,f114876,f114769,f197830])). 21.91/21.79 fof(f114876,plain,( 21.91/21.79 spl0_7197 <=> mult(a,mult(b,c)) != mult(b,mult(a,c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7197])])). 21.91/21.79 fof(f197870,plain,( 21.91/21.79 mult(ld(c,a),c) = a | (~spl0_7162 | ~spl0_7197)), 21.91/21.79 inference(subsumption_resolution,[],[f197756,f114877])). 21.91/21.79 fof(f114877,plain,( 21.91/21.79 mult(a,mult(b,c)) != mult(b,mult(a,c)) | ~spl0_7197), 21.91/21.79 inference(avatar_component_clause,[],[f114876])). 21.91/21.79 fof(f197756,plain,( 21.91/21.79 mult(a,mult(b,c)) = mult(b,mult(a,c)) | mult(ld(c,a),c) = a | ~spl0_7162), 21.91/21.79 inference(superposition,[],[f77440,f114770])). 21.91/21.79 fof(f77440,plain,( 21.91/21.79 ( ! [X43,X44,X42] : (mult(X44,mult(X43,X42)) = mult(mult(X44,X43),X42) | mult(ld(X42,X43),X42) = X43) )), 21.91/21.79 inference(forward_demodulation,[],[f77439,f21])). 21.91/21.79 fof(f77439,plain,( 21.91/21.79 ( ! [X43,X44,X42] : (mult(ld(X42,X43),X42) = X43 | mult(X44,mult(mult(X42,ld(X42,X43)),X42)) = mult(mult(X44,mult(X42,ld(X42,X43))),X42)) )), 21.91/21.79 inference(forward_demodulation,[],[f77355,f22])). 21.91/21.79 fof(f77355,plain,( 21.91/21.79 ( ! [X43,X44,X42] : (mult(ld(X42,X43),X42) = ld(X44,mult(X44,X43)) | mult(X44,mult(mult(X42,ld(X42,X43)),X42)) = mult(mult(X44,mult(X42,ld(X42,X43))),X42)) )), 21.91/21.79 inference(superposition,[],[f3719,f21])). 21.91/21.79 fof(f3719,plain,( 21.91/21.79 ( ! [X61,X62,X60] : (mult(X61,X62) = ld(X60,mult(X60,mult(X62,X61))) | mult(X60,mult(mult(X62,X61),X62)) = mult(mult(X60,mult(X62,X61)),X62)) )), 21.91/21.79 inference(superposition,[],[f22,f135])). 21.91/21.79 fof(f135,plain,( 21.91/21.79 ( ! [X6,X8,X7] : (mult(X6,mult(X7,X8)) = mult(X6,mult(X8,X7)) | mult(X6,mult(mult(X7,X8),X7)) = mult(mult(X6,mult(X7,X8)),X7)) )), 21.91/21.79 inference(superposition,[],[f23,f27])). 21.91/21.79 fof(f197689,plain,( 21.91/21.79 spl0_12784 | ~spl0_7084), 21.91/21.79 inference(avatar_split_clause,[],[f197688,f114417,f197533])). 21.91/21.79 fof(f114417,plain,( 21.91/21.79 spl0_7084 <=> mult(b,mult(a,c)) = mult(b,mult(c,a))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7084])])). 21.91/21.79 fof(f197688,plain,( 21.91/21.79 mult(a,c) = mult(c,a) | ~spl0_7084), 21.91/21.79 inference(forward_demodulation,[],[f197486,f93570])). 21.91/21.79 fof(f197486,plain,( 21.91/21.79 mult(c,a) = mult(ld(b,unit),mult(b,mult(a,c))) | ~spl0_7084), 21.91/21.79 inference(superposition,[],[f93570,f114418])). 21.91/21.79 fof(f114418,plain,( 21.91/21.79 mult(b,mult(a,c)) = mult(b,mult(c,a)) | ~spl0_7084), 21.91/21.79 inference(avatar_component_clause,[],[f114417])). 21.91/21.79 fof(f196784,plain,( 21.91/21.79 spl0_12548 | ~spl0_636), 21.91/21.79 inference(avatar_split_clause,[],[f196688,f31607,f196775])). 21.91/21.79 fof(f31607,plain,( 21.91/21.79 spl0_636 <=> mult(mult(a,c),b) = mult(c,mult(a,b))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_636])])). 21.91/21.79 fof(f196688,plain,( 21.91/21.79 mult(mult(a,b),c) = mult(c,mult(a,b)) | ~spl0_636), 21.91/21.79 inference(superposition,[],[f738,f31608])). 21.91/21.79 fof(f31608,plain,( 21.91/21.79 mult(mult(a,c),b) = mult(c,mult(a,b)) | ~spl0_636), 21.91/21.79 inference(avatar_component_clause,[],[f31607])). 21.91/21.79 fof(f196321,plain,( 21.91/21.79 spl0_12456 | ~spl0_620), 21.91/21.79 inference(avatar_split_clause,[],[f196317,f31535,f196319])). 21.91/21.79 fof(f31535,plain,( 21.91/21.79 spl0_620 <=> ld(b,a) = ld(mult(b,c),mult(a,c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_620])])). 21.91/21.79 fof(f196317,plain,( 21.91/21.79 mult(a,b) = ld(c,mult(mult(a,b),c)) | ~spl0_620), 21.91/21.79 inference(forward_demodulation,[],[f196316,f95291])). 21.91/21.79 fof(f196316,plain,( 21.91/21.79 mult(b,mult(ld(b,a),b)) = ld(c,mult(mult(a,b),c)) | ~spl0_620), 21.91/21.79 inference(forward_demodulation,[],[f196315,f91605])). 21.91/21.79 fof(f196315,plain,( 21.91/21.79 mult(mult(b,ld(b,a)),b) = ld(c,mult(mult(a,b),c)) | ~spl0_620), 21.91/21.79 inference(forward_demodulation,[],[f196251,f738])). 21.91/21.79 fof(f196251,plain,( 21.91/21.79 mult(mult(b,ld(b,a)),b) = ld(c,mult(mult(a,c),b)) | ~spl0_620), 21.91/21.79 inference(superposition,[],[f16124,f31536])). 21.91/21.79 fof(f31536,plain,( 21.91/21.79 ld(b,a) = ld(mult(b,c),mult(a,c)) | ~spl0_620), 21.91/21.79 inference(avatar_component_clause,[],[f31535])). 21.91/21.79 fof(f193691,plain,( 21.91/21.79 spl0_11838 | ~spl0_616), 21.91/21.79 inference(avatar_split_clause,[],[f193687,f31525,f193689])). 21.91/21.79 fof(f31525,plain,( 21.91/21.79 spl0_616 <=> mult(a,mult(c,c)) = mult(b,mult(mult(c,ld(b,a)),c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_616])])). 21.91/21.79 fof(f193687,plain,( 21.91/21.79 mult(a,mult(c,c)) = mult(b,mult(c,mult(ld(b,a),c))) | ~spl0_616), 21.91/21.79 inference(forward_demodulation,[],[f31526,f91605])). 21.91/21.79 fof(f31526,plain,( 21.91/21.79 mult(a,mult(c,c)) = mult(b,mult(mult(c,ld(b,a)),c)) | ~spl0_616), 21.91/21.79 inference(avatar_component_clause,[],[f31525])). 21.91/21.79 fof(f125281,plain,( 21.91/21.79 spl0_7770 | spl0_2 | ~spl0_7170), 21.91/21.79 inference(avatar_split_clause,[],[f125238,f114794,f744,f122944])). 21.91/21.79 fof(f744,plain,( 21.91/21.79 spl0_2 <=> ld(mult(a,b),mult(a,mult(b,c))) = c), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 21.91/21.79 fof(f114794,plain,( 21.91/21.79 spl0_7170 <=> ld(mult(b,a),mult(a,mult(b,c))) = c), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_7170])])). 21.91/21.79 fof(f125238,plain,( 21.91/21.79 ( ! [X0] : (ld(mult(a,b),mult(a,mult(b,c))) = c | ld(mult(X0,a),mult(X0,mult(a,b))) = b) ) | ~spl0_7170), 21.91/21.79 inference(superposition,[],[f114795,f1784])). 21.91/21.79 fof(f1784,plain,( 21.91/21.79 ( ! [X35,X36,X34] : (mult(X35,X36) = mult(X36,X35) | ld(mult(X34,X35),mult(X34,mult(X35,X36))) = X36) )), 21.91/21.79 inference(forward_demodulation,[],[f1663,f22])). 21.91/21.79 fof(f1663,plain,( 21.91/21.79 ( ! [X35,X36,X34] : (mult(X35,X36) = ld(X34,mult(X34,mult(X36,X35))) | ld(mult(X34,X35),mult(X34,mult(X35,X36))) = X36) )), 21.91/21.79 inference(superposition,[],[f22,f141])). 21.91/21.79 fof(f141,plain,( 21.91/21.79 ( ! [X28,X26,X27] : (mult(X26,mult(X27,X28)) = mult(X26,mult(X28,X27)) | ld(mult(X26,X27),mult(X26,mult(X27,X28))) = X28) )), 21.91/21.79 inference(superposition,[],[f22,f27])). 21.91/21.79 fof(f114795,plain,( 21.91/21.79 ld(mult(b,a),mult(a,mult(b,c))) = c | ~spl0_7170), 21.91/21.79 inference(avatar_component_clause,[],[f114794])). 21.91/21.79 fof(f123150,plain,( 21.91/21.79 spl0_7846 | ~spl0_7082), 21.91/21.79 inference(avatar_split_clause,[],[f122913,f114413,f123148])). 21.91/21.79 fof(f122913,plain,( 21.91/21.79 rd(mult(b,a),c) = rd(mult(b,mult(a,c)),mult(c,c)) | ~spl0_7082), 21.91/21.79 inference(superposition,[],[f444,f114414])). 21.91/21.79 fof(f114414,plain,( 21.91/21.79 mult(mult(b,a),c) = mult(b,mult(a,c)) | ~spl0_7082), 21.91/21.79 inference(avatar_component_clause,[],[f114413])). 21.91/21.79 fof(f114967,plain,( 21.91/21.79 spl0_7226 | spl0_7214 | ~spl0_1038), 21.91/21.79 inference(avatar_split_clause,[],[f114963,f38207,f114933,f114965])). 21.91/21.79 fof(f38207,plain,( 21.91/21.79 spl0_1038 <=> mult(mult(b,c),a) = mult(a,mult(b,c))), 21.91/21.79 introduced(avatar_definition,[new_symbols(naming,[spl0_1038])])). 21.91/21.79 fof(f114963,plain,( 21.91/21.79 mult(b,a) = mult(mult(a,c),ld(c,b)) | mult(b,c) = rd(mult(b,mult(c,a)),a) | ~spl0_1038), 21.91/21.79 inference(forward_demodulation,[],[f114669,f384])). 21.91/21.79 fof(f114669,plain,( 21.91/21.79 mult(b,a) = rd(mult(a,mult(b,c)),c) | mult(b,c) = rd(mult(b,mult(c,a)),a) | ~spl0_1038), 21.91/21.79 inference(superposition,[],[f1149,f38208])). 21.91/21.79 fof(f38208,plain,( 21.91/21.79 mult(mult(b,c),a) = mult(a,mult(b,c)) | ~spl0_1038), 21.91/21.79 inference(avatar_component_clause,[],[f38207])). 21.91/21.79 fof(f1149,plain,( 21.91/21.79 ( ! [X61,X59,X60] : (mult(X59,X61) = rd(mult(mult(X59,X60),X61),X60) | mult(X59,X60) = rd(mult(X59,mult(X60,X61)),X61)) )), 21.91/21.79 inference(superposition,[],[f20,f98])). 21.91/21.79 fof(f114924,plain,( 21.91/21.79 spl0_7210 | spl0_7170 | ~spl0_1038), 21.91/21.79 inference(avatar_split_clause,[],[f114659,f38207,f114794,f114922])). 21.91/21.79 fof(f114659,plain,( 21.91/21.79 ld(mult(b,a),mult(a,mult(b,c))) = c | ld(mult(b,a),mult(b,mult(a,c))) = c | ~spl0_1038), 21.91/21.79 inference(superposition,[],[f686,f38208])). 21.91/21.79 fof(f686,plain,( 21.91/21.79 ( ! [X52,X50,X51] : (ld(mult(X50,X51),mult(mult(X50,X52),X51)) = X52 | ld(mult(X50,X51),mult(X50,mult(X51,X52))) = X52) )), 21.91/21.79 inference(superposition,[],[f22,f91])). 21.91/21.79 fof(f114878,plain,( 21.91/21.79 spl0_7082 | ~spl0_7197 | ~spl0_1038), 21.91/21.79 inference(avatar_split_clause,[],[f114648,f38207,f114876,f114413])). 21.91/21.79 fof(f114648,plain,( 21.91/21.79 mult(a,mult(b,c)) != mult(b,mult(a,c)) | mult(mult(b,a),c) = mult(b,mult(a,c)) | ~spl0_1038), 21.91/21.79 inference(superposition,[],[f99,f38208])). 21.91/21.79 fof(f114855,plain,( 21.91/21.79 spl0_7082 | spl0_7162 | ~spl0_1038), 21.91/21.79 inference(avatar_split_clause,[],[f114639,f38207,f114769,f114413])). 21.91/21.79 fof(f114639,plain,( 21.91/21.79 mult(mult(b,a),c) = mult(a,mult(b,c)) | mult(mult(b,a),c) = mult(b,mult(a,c)) | ~spl0_1038), 21.91/21.79 inference(superposition,[],[f25,f38208])). 21.91/21.79 fof(f114852,plain,( 21.91/21.79 spl0_7192 | ~spl0_1038), 21.91/21.79 inference(avatar_split_clause,[],[f114848,f38207,f114850])). 21.91/21.79 fof(f114848,plain,( 21.91/21.79 mult(mult(a,mult(b,c)),c) = mult(b,mult(c,mult(a,c))) | ~spl0_1038), 21.91/21.79 inference(forward_demodulation,[],[f114637,f91605])). 21.91/21.79 fof(f114637,plain,( 21.91/21.79 mult(mult(a,mult(b,c)),c) = mult(b,mult(mult(c,a),c)) | ~spl0_1038), 21.91/21.79 inference(superposition,[],[f23,f38208])). 21.91/21.79 fof(f114434,plain,( 21.91/21.79 spl0_7092 | spl0_7086 | ~spl0_1040), 21.91/21.79 inference(avatar_split_clause,[],[f114330,f38210,f114420,f114432])). 21.91/21.79 fof(f114330,plain,( 21.91/21.79 ( ! [X5] : (mult(X5,mult(b,c)) = rd(mult(X5,mult(b,mult(c,a))),a) | ld(mult(b,a),mult(mult(b,c),a)) = c) ) | ~spl0_1040), 21.91/21.79 inference(superposition,[],[f38211,f97])). 21.91/21.79 fof(f97,plain,( 21.91/21.79 ( ! [X14,X12,X13] : (mult(X12,mult(X14,X13)) = mult(mult(X12,X14),X13) | ld(mult(X12,X13),mult(mult(X12,X14),X13)) = X14) )), 21.91/21.79 inference(superposition,[],[f22,f25])). 21.91/21.79 fof(f114422,plain,( 21.91/21.79 spl0_7084 | spl0_7086 | ~spl0_1040), 21.91/21.79 inference(avatar_split_clause,[],[f114327,f38210,f114420,f114417])). 21.91/21.79 fof(f114327,plain,( 21.91/21.79 ( ! [X2] : (mult(X2,mult(b,c)) = rd(mult(X2,mult(b,mult(c,a))),a) | mult(b,mult(a,c)) = mult(b,mult(c,a))) ) | ~spl0_1040), 21.91/21.79 inference(superposition,[],[f38211,f27])). 21.91/21.79 fof(f38212,plain,( 21.91/21.79 spl0_1038 | spl0_1040), 21.91/21.79 inference(avatar_split_clause,[],[f38205,f38210,f38207])). 21.91/21.79 fof(f38205,plain,( 21.91/21.79 ( ! [X294] : (mult(X294,mult(b,c)) = rd(mult(X294,mult(mult(b,c),a)),a) | mult(mult(b,c),a) = mult(a,mult(b,c))) )), 21.91/21.79 inference(forward_demodulation,[],[f38204,f152])). 21.91/21.79 fof(f38204,plain,( 21.91/21.79 ( ! [X294] : (mult(mult(b,c),a) = mult(a,mult(b,c)) | mult(X294,mult(c,b)) = rd(mult(X294,mult(mult(c,b),a)),a)) )), 21.91/21.79 inference(forward_demodulation,[],[f38203,f152])). 21.91/21.79 fof(f38203,plain,( 21.91/21.79 ( ! [X294] : (mult(mult(c,b),a) = mult(a,mult(b,c)) | mult(X294,mult(c,b)) = rd(mult(X294,mult(mult(c,b),a)),a)) )), 21.91/21.79 inference(forward_demodulation,[],[f38065,f22])). 21.91/21.79 fof(f38065,plain,( 21.91/21.79 ( ! [X294] : (mult(mult(c,b),a) = ld(X294,mult(X294,mult(a,mult(b,c)))) | mult(X294,mult(c,b)) = rd(mult(X294,mult(mult(c,b),a)),a)) )), 21.91/21.79 inference(superposition,[],[f1907,f144])). 21.91/21.79 fof(f1907,plain,( 21.91/21.79 ( ! [X41,X42,X40] : (mult(X41,X42) = ld(X40,mult(X40,mult(X42,X41))) | mult(X40,X41) = rd(mult(X40,mult(X41,X42)),X42)) )), 21.91/21.79 inference(superposition,[],[f22,f142])). 21.91/21.79 fof(f37584,plain,( 21.91/21.79 spl0_992 | ~spl0_560), 21.91/21.79 inference(avatar_split_clause,[],[f37524,f20134,f37582])). 21.91/21.79 fof(f37524,plain,( 21.91/21.79 mult(a,c) = rd(mult(c,mult(a,b)),b) | ~spl0_560), 21.91/21.79 inference(superposition,[],[f37,f20135])). 21.91/21.79 fof(f20135,plain,( 21.91/21.79 ld(mult(a,c),mult(c,mult(a,b))) = b | ~spl0_560), 21.91/21.79 inference(avatar_component_clause,[],[f20134])). 21.91/21.79 fof(f31611,plain,( 21.91/21.79 spl0_620 | ~spl0_562), 21.91/21.79 inference(avatar_split_clause,[],[f31447,f20140,f31535])). 21.91/21.79 fof(f31447,plain,( 21.91/21.79 ld(b,a) = ld(mult(b,c),mult(a,c)) | ~spl0_562), 21.91/21.79 inference(superposition,[],[f22,f20141])). 21.91/21.79 fof(f20141,plain,( 21.91/21.79 mult(a,c) = mult(mult(b,c),ld(b,a)) | ~spl0_562), 21.91/21.79 inference(avatar_component_clause,[],[f20140])). 21.91/21.79 fof(f31609,plain,( 21.91/21.79 spl0_636 | ~spl0_562), 21.91/21.79 inference(avatar_split_clause,[],[f31605,f20140,f31607])). 21.91/21.79 fof(f31605,plain,( 21.91/21.79 mult(mult(a,c),b) = mult(c,mult(a,b)) | ~spl0_562), 21.91/21.79 inference(forward_demodulation,[],[f31445,f222])). 21.91/21.79 fof(f222,plain,( 21.91/21.79 rd(mult(b,c),b) = c), 21.91/21.79 inference(superposition,[],[f20,f152])). 21.91/21.79 fof(f31445,plain,( 21.91/21.79 mult(mult(a,c),b) = mult(rd(mult(b,c),b),mult(a,b)) | ~spl0_562), 21.91/21.79 inference(superposition,[],[f190,f20141])). 21.91/21.79 fof(f31551,plain,( 21.91/21.79 spl0_616 | ~spl0_562), 21.91/21.79 inference(avatar_split_clause,[],[f31550,f20140,f31525])). 21.91/21.79 fof(f31550,plain,( 21.91/21.79 mult(a,mult(c,c)) = mult(b,mult(mult(c,ld(b,a)),c)) | ~spl0_562), 21.91/21.79 inference(forward_demodulation,[],[f31423,f60])). 21.91/21.79 fof(f31423,plain,( 21.91/21.79 mult(mult(a,c),c) = mult(b,mult(mult(c,ld(b,a)),c)) | ~spl0_562), 21.91/21.79 inference(superposition,[],[f23,f20141])). 21.91/21.79 fof(f20142,plain,( 21.91/21.79 spl0_558 | spl0_562), 21.91/21.79 inference(avatar_split_clause,[],[f20138,f20140,f20131])). 21.91/21.79 fof(f20138,plain,( 21.91/21.79 ( ! [X719] : (mult(a,c) = mult(mult(b,c),ld(b,a)) | ld(mult(X719,mult(a,b)),mult(X719,mult(mult(a,b),c))) = c) )), 21.91/21.79 inference(forward_demodulation,[],[f20137,f152])). 21.91/21.79 fof(f20137,plain,( 21.91/21.79 ( ! [X719] : (mult(a,c) = mult(mult(c,b),ld(b,a)) | ld(mult(X719,mult(a,b)),mult(X719,mult(mult(a,b),c))) = c) )), 21.91/21.79 inference(forward_demodulation,[],[f19853,f384])). 21.91/21.79 fof(f19853,plain,( 21.91/21.79 ( ! [X719] : (mult(a,c) = rd(mult(c,mult(a,b)),b) | ld(mult(X719,mult(a,b)),mult(X719,mult(mult(a,b),c))) = c) )), 21.91/21.79 inference(superposition,[],[f1176,f1784])). 21.91/21.79 fof(f20115,plain,( 21.91/21.79 spl0_546 | spl0_548), 21.91/21.79 inference(avatar_split_clause,[],[f20114,f20054,f20051])). 21.91/21.79 fof(f20114,plain,( 21.91/21.79 ( ! [X714] : (ld(mult(X714,mult(a,c)),mult(X714,mult(mult(a,b),c))) = b | mult(mult(a,b),c) = mult(b,mult(a,c))) )), 21.91/21.79 inference(forward_demodulation,[],[f19848,f738])). 21.91/21.79 fof(f19848,plain,( 21.91/21.79 ( ! [X714] : (mult(mult(a,b),c) = mult(b,mult(a,c)) | ld(mult(X714,mult(a,c)),mult(X714,mult(mult(a,c),b))) = b) )), 21.91/21.79 inference(superposition,[],[f738,f1784])). 21.91/21.79 fof(f2378,plain,( 21.91/21.79 ~spl0_2), 21.91/21.79 inference(avatar_contradiction_clause,[],[f2377])). 21.91/21.79 fof(f2377,plain,( 21.91/21.79 $false | ~spl0_2), 21.91/21.79 inference(subsumption_resolution,[],[f2357,f16])). 21.91/21.79 fof(f2357,plain,( 21.91/21.79 mult(mult(a,b),c) = mult(a,mult(b,c)) | ~spl0_2), 21.91/21.79 inference(superposition,[],[f21,f745])). 21.91/21.79 fof(f745,plain,( 21.91/21.79 ld(mult(a,b),mult(a,mult(b,c))) = c | ~spl0_2), 21.91/21.79 inference(avatar_component_clause,[],[f744])). 21.91/21.79 % SZS output end Proof for theBenchmark 21.91/21.79 % ------------------------------ 21.91/21.79 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 21.91/21.79 % Termination reason: Refutation 21.91/21.79 21.91/21.79 % Memory used [KB]: 238077 21.91/21.79 % Time elapsed: 9.230 s 21.91/21.79 % ------------------------------ 21.91/21.79 % ------------------------------ 21.91/21.80 % Success in time 21.462 s 21.91/21.80 EOF