0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -m 90000 -t %d %s 0.02/0.23 % Computer : n147.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:23:10 CDT 2018 0.02/0.23 % CPUTime : 0.02/0.23 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.23 % remaining time: 2999 next slice time: 3 0.02/0.26 dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark 0.43/0.66 % (44013)Time limit reached! 0.43/0.66 % ------------------------------ 0.43/0.66 % Version: Vampire 4.1 for CASC J8 Entry 0.43/0.66 % Termination reason: Time limit 0.43/0.66 % Termination phase: Saturation 0.43/0.66 0.43/0.66 % Memory used [KB]: 7036 0.43/0.66 % Time elapsed: 0.400 s 0.43/0.66 % ------------------------------ 0.43/0.66 % ------------------------------ 0.43/0.66 % remaining time: 2995 next slice time: 3 0.43/0.67 lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark 0.49/1.06 % (44014)Time limit reached! 0.49/1.06 % ------------------------------ 0.49/1.06 % Version: Vampire 4.1 for CASC J8 Entry 0.49/1.06 % Termination reason: Time limit 0.49/1.06 % Termination phase: Saturation 0.49/1.06 0.49/1.06 % Memory used [KB]: 7036 0.49/1.06 % Time elapsed: 0.400 s 0.49/1.06 % ------------------------------ 0.49/1.06 % ------------------------------ 0.49/1.07 % remaining time: 2991 next slice time: 5 0.49/1.07 lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark 0.94/1.13 % Refutation found. Thanks to Tanya! 0.94/1.13 % SZS status Theorem for theBenchmark 0.94/1.13 % SZS output start Proof for theBenchmark 0.94/1.13 tff(type_def_6, type, uni: $tType). 0.94/1.13 tff(type_def_7, type, ty: $tType). 0.94/1.13 tff(type_def_8, type, bool1: $tType). 0.94/1.13 tff(type_def_9, type, tuple02: $tType). 0.94/1.13 tff(type_def_10, type, uf_pure1: $tType). 0.94/1.13 tff(type_def_11, type, uf1: $tType). 0.94/1.13 tff(type_def_12, type, graph1: $tType). 0.94/1.13 tff(func_def_0, type, witness1: ty > uni). 0.94/1.13 tff(func_def_1, type, int: ty). 0.94/1.13 tff(func_def_2, type, real: ty). 0.94/1.13 tff(func_def_3, type, bool: ty). 0.94/1.13 tff(func_def_4, type, true1: bool1). 0.94/1.13 tff(func_def_5, type, false1: bool1). 0.94/1.13 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 0.94/1.13 tff(func_def_7, type, tuple0: ty). 0.94/1.13 tff(func_def_8, type, tuple03: tuple02). 0.94/1.13 tff(func_def_9, type, qtmark: ty). 0.94/1.13 tff(func_def_10, type, ref: ty > ty). 0.94/1.13 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 0.94/1.13 tff(func_def_12, type, contents: (ty * uni) > uni). 0.94/1.13 tff(func_def_13, type, uf_pure: ty). 0.94/1.13 tff(func_def_14, type, size1: uf_pure1 > $int). 0.94/1.13 tff(func_def_15, type, num1: uf_pure1 > $int). 0.94/1.13 tff(func_def_16, type, uf: ty). 0.94/1.13 tff(func_def_17, type, mk_uf1: uf_pure1 > uf1). 0.94/1.13 tff(func_def_18, type, state1: uf1 > uf_pure1). 0.94/1.13 tff(func_def_19, type, graph: ty). 0.94/1.13 tff(func_def_24, type, sK0: $int). 0.94/1.13 tff(func_def_25, type, sK1: $int). 0.94/1.13 tff(func_def_26, type, sK2: graph1). 0.94/1.13 tff(func_def_27, type, sK3: uf_pure1). 0.94/1.13 tff(func_def_28, type, sK4: $int). 0.94/1.13 tff(func_def_29, type, sK5: $int). 0.94/1.13 tff(func_def_30, type, sK6: (uf_pure1 * $int) > $int). 0.94/1.13 tff(func_def_31, type, sK7: (graph1 * $int * $int) > graph1). 0.94/1.13 tff(func_def_32, type, sK8: (graph1 * $int * $int) > $int). 0.94/1.13 tff(func_def_33, type, sK9: (graph1 * $int * $int) > $int). 0.94/1.13 tff(func_def_34, type, sK10: (graph1 * $int * $int) > $int). 0.94/1.13 tff(func_def_35, type, sK11: (graph1 * $int * $int) > graph1). 0.94/1.13 tff(func_def_36, type, sK12: (graph1 * $int * $int) > $int). 0.94/1.13 tff(func_def_37, type, sK13: (graph1 * $int * $int) > $int). 0.94/1.13 tff(func_def_38, type, sK14: (graph1 * $int * $int) > graph1). 0.94/1.13 tff(func_def_39, type, sK15: (graph1 * $int * $int) > $int). 0.94/1.13 tff(func_def_40, type, sK16: (uf_pure1 * $int * $int) > $int). 0.94/1.13 tff(pred_def_1, type, sort1: (ty * uni) > $o). 0.94/1.13 tff(pred_def_2, type, repr1: (uf_pure1 * $int * $int) > $o). 0.94/1.13 tff(pred_def_3, type, same1: (uf_pure1 * $int * $int) > $o). 0.94/1.13 tff(pred_def_4, type, same_reprs1: (uf_pure1 * uf_pure1) > $o). 0.94/1.13 tff(pred_def_5, type, path1: (graph1 * $int * $int) > $o). 0.94/1.13 tff(f1,axiom,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int,X3 : $int] : (($less(X1,size1(X0)) & $lesseq(0,X1)) => (repr1(X0,X1,X2) => (repr1(X0,X1,X3) => X2 = X3)))), 0.94/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',repr_function_2)). 0.94/1.13 tff(f6,axiom,( 0.94/1.13 true1 != false1), 0.94/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 0.94/1.13 tff(f10,axiom,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int] : (($less(X1,size1(X0)) & $lesseq(0,X1)) => ? [X2 : $int] : ($lesseq(0,X2) & repr1(X0,X1,X2) & $less(X2,size1(X0))))), 0.94/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',repr_function_1)). 0.94/1.13 tff(f11,axiom,( 0.94/1.13 ! [X1 : $int,X2 : $int,X3 : $int] : ($lesseq(X1,X2) => ($lesseq(0,X3) => $lesseq($product(X1,X3),$product(X2,X3))))), 0.94/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 0.94/1.13 tff(f15,axiom,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (same1(X0,X1,X2) <=> ! [X11 : $int] : (repr1(X0,X2,X11) <=> repr1(X0,X1,X11)))), 0.94/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_def)). 0.94/1.13 tff(f17,conjecture,( 0.94/1.13 ! [X12 : $int,X13 : $int,X14 : graph1] : (($lesseq(1,X12) & 0 = X13 & ! [X1 : $int,X2 : $int] : (path1(X14,X1,X2) <=> X1 = X2)) => ($lesseq(0,$product(X12,X12)) => ! [X0 : uf_pure1] : ((num1(X0) = $product(X12,X12) & size1(X0) = $product(X12,X12) & ! [X1 : $int] : (($less(X1,$product(X12,X12)) & $lesseq(0,X1)) => repr1(X0,X1,X1))) => (! [X1 : $int,X2 : $int] : (($lesseq(0,X1) & $less(X1,$product(X12,X12))) => (($less(X2,$product(X12,X12)) & $lesseq(0,X2)) => (same1(X0,X1,X2) => (repr1(X0,X1,X1) & X1 = X2 & repr1(X0,X1,X2))))) => (size1(X0) = $product(X12,X12) & ! [X1 : $int,X2 : $int] : (($less(X1,$product(X12,X12)) & $lesseq(0,X1)) => (($less(X2,$product(X12,X12)) & $lesseq(0,X2)) => (path1(X14,X1,X2) <=> same1(X0,X1,X2)))) & size1(X0) = $sum(num1(X0),X13) & $lesseq(1,num1(X0)))))))), 0.94/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_build_maze)). 0.94/1.13 tff(f18,negated_conjecture,( 0.94/1.13 ~! [X12 : $int,X13 : $int,X14 : graph1] : (($lesseq(1,X12) & 0 = X13 & ! [X1 : $int,X2 : $int] : (path1(X14,X1,X2) <=> X1 = X2)) => ($lesseq(0,$product(X12,X12)) => ! [X0 : uf_pure1] : ((num1(X0) = $product(X12,X12) & size1(X0) = $product(X12,X12) & ! [X1 : $int] : (($less(X1,$product(X12,X12)) & $lesseq(0,X1)) => repr1(X0,X1,X1))) => (! [X1 : $int,X2 : $int] : (($lesseq(0,X1) & $less(X1,$product(X12,X12))) => (($less(X2,$product(X12,X12)) & $lesseq(0,X2)) => (same1(X0,X1,X2) => (repr1(X0,X1,X1) & X1 = X2 & repr1(X0,X1,X2))))) => (size1(X0) = $product(X12,X12) & ! [X1 : $int,X2 : $int] : (($less(X1,$product(X12,X12)) & $lesseq(0,X1)) => (($less(X2,$product(X12,X12)) & $lesseq(0,X2)) => (path1(X14,X1,X2) <=> same1(X0,X1,X2)))) & size1(X0) = $sum(num1(X0),X13) & $lesseq(1,num1(X0)))))))), 0.94/1.13 inference(negated_conjecture,[],[f17])). 0.94/1.13 tff(f19,axiom,( 0.94/1.13 ! [X12 : $int,X1 : $int,X2 : $int] : ($lesseq(0,X12) => (($lesseq(0,X1) & $less(X1,X12)) => (($lesseq(0,X2) & $less(X2,X12)) => ($lesseq(0,$sum($product(X1,X12),X2)) & $less($sum($product(X1,X12),X2),$product(X12,X12))))))), 0.94/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ineq1)). 0.94/1.13 tff(f22,axiom,( 0.94/1.13 ! [X0 : uf_pure1] : (num1(X0) = 1 => ! [X1 : $int,X2 : $int] : (($lesseq(0,X1) & $less(X1,size1(X0))) => (($less(X2,size1(X0)) & $lesseq(0,X2)) => same1(X0,X1,X2))))), 0.94/1.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneClass)). 0.94/1.13 tff(f28,plain,( 0.94/1.13 ~! [X12 : $int,X13 : $int,X14 : graph1] : ((~$less(X12,1) & 0 = X13 & ! [X1 : $int,X2 : $int] : (path1(X14,X1,X2) <=> X1 = X2)) => (~$less($product(X12,X12),0) => ! [X0 : uf_pure1] : ((num1(X0) = $product(X12,X12) & size1(X0) = $product(X12,X12) & ! [X1 : $int] : (($less(X1,$product(X12,X12)) & ~$less(X1,0)) => repr1(X0,X1,X1))) => (! [X1 : $int,X2 : $int] : ((~$less(X1,0) & $less(X1,$product(X12,X12))) => (($less(X2,$product(X12,X12)) & ~$less(X2,0)) => (same1(X0,X1,X2) => (repr1(X0,X1,X1) & X1 = X2 & repr1(X0,X1,X2))))) => (size1(X0) = $product(X12,X12) & ! [X1 : $int,X2 : $int] : (($less(X1,$product(X12,X12)) & ~$less(X1,0)) => (($less(X2,$product(X12,X12)) & ~$less(X2,0)) => (path1(X14,X1,X2) <=> same1(X0,X1,X2)))) & size1(X0) = $sum(num1(X0),X13) & ~$less(num1(X0),1))))))), 0.94/1.13 inference(evaluation,[],[f18])). 0.94/1.13 tff(f29,plain,( 0.94/1.13 ! [X0 : uf_pure1] : (num1(X0) = 1 => ! [X1 : $int,X2 : $int] : ((~$less(X1,0) & $less(X1,size1(X0))) => (($less(X2,size1(X0)) & ~$less(X2,0)) => same1(X0,X1,X2))))), 0.94/1.13 inference(evaluation,[],[f22])). 0.94/1.13 tff(f30,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int] : (($less(X1,size1(X0)) & ~$less(X1,0)) => ? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))))), 0.94/1.13 inference(evaluation,[],[f10])). 0.94/1.13 tff(f31,plain,( 0.94/1.13 ! [X12 : $int,X1 : $int,X2 : $int] : (~$less(X12,0) => ((~$less(X1,0) & $less(X1,X12)) => ((~$less(X2,0) & $less(X2,X12)) => (~$less($sum($product(X1,X12),X2),0) & $less($sum($product(X1,X12),X2),$product(X12,X12))))))), 0.94/1.13 inference(evaluation,[],[f19])). 0.94/1.13 tff(f32,plain,( 0.94/1.13 ! [X1 : $int,X2 : $int,X3 : $int] : (~$less(X2,X1) => (~$less(X3,0) => ~$less($product(X2,X3),$product(X1,X3))))), 0.94/1.13 inference(evaluation,[],[f11])). 0.94/1.13 tff(f33,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int,X3 : $int] : (($less(X1,size1(X0)) & ~$less(X1,0)) => (repr1(X0,X1,X2) => (repr1(X0,X1,X3) => X2 = X3)))), 0.94/1.13 inference(evaluation,[],[f1])). 0.94/1.13 tff(f34,plain,( 0.94/1.13 ~! [X0 : $int,X1 : $int,X2 : graph1] : ((~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4)) => (~$less($product(X0,X0),0) => ! [X5 : uf_pure1] : ((num1(X5) = $product(X0,X0) & size1(X5) = $product(X0,X0) & ! [X6 : $int] : (($less(X6,$product(X0,X0)) & ~$less(X6,0)) => repr1(X5,X6,X6))) => (! [X7 : $int,X8 : $int] : ((~$less(X7,0) & $less(X7,$product(X0,X0))) => (($less(X8,$product(X0,X0)) & ~$less(X8,0)) => (same1(X5,X7,X8) => (repr1(X5,X7,X7) & X7 = X8 & repr1(X5,X7,X8))))) => (size1(X5) = $product(X0,X0) & ! [X9 : $int,X10 : $int] : (($less(X9,$product(X0,X0)) & ~$less(X9,0)) => (($less(X10,$product(X0,X0)) & ~$less(X10,0)) => (path1(X2,X9,X10) <=> same1(X5,X9,X10)))) & size1(X5) = $sum(num1(X5),X1) & ~$less(num1(X5),1))))))), 0.94/1.13 inference(rectify,[],[f28])). 0.94/1.13 tff(f42,plain,( 0.94/1.13 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X0,0) => ((~$less(X1,0) & $less(X1,X0)) => ((~$less(X2,0) & $less(X2,X0)) => (~$less($sum($product(X1,X0),X2),0) & $less($sum($product(X1,X0),X2),$product(X0,X0))))))), 0.94/1.13 inference(rectify,[],[f31])). 0.94/1.13 tff(f45,plain,( 0.94/1.13 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 0.94/1.13 inference(rectify,[],[f32])). 0.94/1.13 tff(f48,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (same1(X0,X1,X2) <=> ! [X3 : $int] : (repr1(X0,X2,X3) <=> repr1(X0,X1,X3)))), 0.94/1.13 inference(rectify,[],[f15])). 0.94/1.13 tff(f51,plain,( 0.94/1.13 ? [X0 : $int,X1 : $int,X2 : graph1] : ((? [X5 : uf_pure1] : (((size1(X5) != $product(X0,X0) | ? [X9 : $int,X10 : $int] : (((path1(X2,X9,X10) <~> same1(X5,X9,X10)) & ($less(X10,$product(X0,X0)) & ~$less(X10,0))) & ($less(X9,$product(X0,X0)) & ~$less(X9,0))) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((((repr1(X5,X7,X7) & X7 = X8 & repr1(X5,X7,X8)) | ~same1(X5,X7,X8)) | (~$less(X8,$product(X0,X0)) | $less(X8,0))) | ($less(X7,0) | ~$less(X7,$product(X0,X0))))) & (num1(X5) = $product(X0,X0) & size1(X5) = $product(X0,X0) & ! [X6 : $int] : (repr1(X5,X6,X6) | (~$less(X6,$product(X0,X0)) | $less(X6,0))))) & ~$less($product(X0,X0),0)) & (~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4)))), 0.94/1.13 inference(ennf_transformation,[],[f34])). 0.94/1.13 tff(f52,plain,( 0.94/1.13 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : ((size1(X5) != $product(X0,X0) | ? [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) <~> same1(X5,X9,X10)) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((repr1(X5,X7,X7) & X7 = X8 & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | $less(X7,0) | ~$less(X7,$product(X0,X0))) & num1(X5) = $product(X0,X0) & size1(X5) = $product(X0,X0) & ! [X6 : $int] : (repr1(X5,X6,X6) | ~$less(X6,$product(X0,X0)) | $less(X6,0))) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4))), 0.94/1.13 inference(flattening,[],[f51])). 0.94/1.13 tff(f53,plain,( 0.94/1.13 ! [X0 : uf_pure1] : (! [X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | (~$less(X2,size1(X0)) | $less(X2,0))) | ($less(X1,0) | ~$less(X1,size1(X0)))) | num1(X0) != 1)), 0.94/1.13 inference(ennf_transformation,[],[f29])). 0.94/1.13 tff(f54,plain,( 0.94/1.13 ! [X0 : uf_pure1] : (! [X1 : $int,X2 : $int] : (same1(X0,X1,X2) | ~$less(X2,size1(X0)) | $less(X2,0) | $less(X1,0) | ~$less(X1,size1(X0))) | num1(X0) != 1)), 0.94/1.13 inference(flattening,[],[f53])). 0.94/1.13 tff(f57,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int] : (? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))) | (~$less(X1,size1(X0)) | $less(X1,0)))), 0.94/1.13 inference(ennf_transformation,[],[f30])). 0.94/1.13 tff(f58,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int] : (? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))) | ~$less(X1,size1(X0)) | $less(X1,0))), 0.94/1.13 inference(flattening,[],[f57])). 0.94/1.13 tff(f59,plain,( 0.94/1.13 ! [X0 : $int,X1 : $int,X2 : $int] : ((((~$less($sum($product(X1,X0),X2),0) & $less($sum($product(X1,X0),X2),$product(X0,X0))) | ($less(X2,0) | ~$less(X2,X0))) | ($less(X1,0) | ~$less(X1,X0))) | $less(X0,0))), 0.94/1.13 inference(ennf_transformation,[],[f42])). 0.94/1.13 tff(f60,plain,( 0.94/1.13 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($sum($product(X1,X0),X2),0) & $less($sum($product(X1,X0),X2),$product(X0,X0))) | $less(X2,0) | ~$less(X2,X0) | $less(X1,0) | ~$less(X1,X0) | $less(X0,0))), 0.94/1.13 inference(flattening,[],[f59])). 0.94/1.13 tff(f63,plain,( 0.94/1.13 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 0.94/1.13 inference(ennf_transformation,[],[f45])). 0.94/1.13 tff(f64,plain,( 0.94/1.13 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 0.94/1.13 inference(flattening,[],[f63])). 0.94/1.13 tff(f70,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int,X3 : $int] : (((X2 = X3 | ~repr1(X0,X1,X3)) | ~repr1(X0,X1,X2)) | (~$less(X1,size1(X0)) | $less(X1,0)))), 0.94/1.13 inference(ennf_transformation,[],[f33])). 0.94/1.13 tff(f71,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int,X3 : $int] : (X2 = X3 | ~repr1(X0,X1,X3) | ~repr1(X0,X1,X2) | ~$less(X1,size1(X0)) | $less(X1,0))), 0.94/1.13 inference(flattening,[],[f70])). 0.94/1.13 tff(f72,plain,( 0.94/1.13 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : ((size1(X5) != $product(X0,X0) | ? [X9 : $int,X10 : $int] : (((~same1(X5,X9,X10) | ~path1(X2,X9,X10)) & (same1(X5,X9,X10) | path1(X2,X9,X10))) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((repr1(X5,X7,X7) & X7 = X8 & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | $less(X7,0) | ~$less(X7,$product(X0,X0))) & num1(X5) = $product(X0,X0) & size1(X5) = $product(X0,X0) & ! [X6 : $int] : (repr1(X5,X6,X6) | ~$less(X6,$product(X0,X0)) | $less(X6,0))) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : ((path1(X2,X3,X4) | X3 != X4) & (X3 = X4 | ~path1(X2,X3,X4))))), 0.94/1.13 inference(nnf_transformation,[],[f52])). 0.94/1.13 tff(f73,plain,( 0.94/1.13 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : ((size1(X5) != $product(X0,X0) | ? [X9 : $int,X10 : $int] : ((~same1(X5,X9,X10) | ~path1(X2,X9,X10)) & (same1(X5,X9,X10) | path1(X2,X9,X10)) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((repr1(X5,X7,X7) & X7 = X8 & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | $less(X7,0) | ~$less(X7,$product(X0,X0))) & num1(X5) = $product(X0,X0) & size1(X5) = $product(X0,X0) & ! [X6 : $int] : (repr1(X5,X6,X6) | ~$less(X6,$product(X0,X0)) | $less(X6,0))) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : ((path1(X2,X3,X4) | X3 != X4) & (X3 = X4 | ~path1(X2,X3,X4))))), 0.94/1.13 inference(flattening,[],[f72])). 0.94/1.13 tff(f74,plain,( 0.94/1.13 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X3 : uf_pure1] : ((size1(X3) != $product(X0,X0) | ? [X4 : $int,X5 : $int] : ((~same1(X3,X4,X5) | ~path1(X2,X4,X5)) & (same1(X3,X4,X5) | path1(X2,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | size1(X3) != $sum(num1(X3),X1) | $less(num1(X3),1)) & ! [X6 : $int,X7 : $int] : ((repr1(X3,X6,X6) & X6 = X7 & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | ~$less(X7,$product(X0,X0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & num1(X3) = $product(X0,X0) & size1(X3) = $product(X0,X0) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0))) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(X2,X9,X10))))), 0.94/1.13 inference(rectify,[],[f73])). 0.94/1.13 tff(f75,plain,( 0.94/1.13 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X3 : uf_pure1] : ((size1(X3) != $product(X0,X0) | ? [X4 : $int,X5 : $int] : ((~same1(X3,X4,X5) | ~path1(X2,X4,X5)) & (same1(X3,X4,X5) | path1(X2,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | size1(X3) != $sum(num1(X3),X1) | $less(num1(X3),1)) & ! [X6 : $int,X7 : $int] : ((repr1(X3,X6,X6) & X6 = X7 & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | ~$less(X7,$product(X0,X0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & num1(X3) = $product(X0,X0) & size1(X3) = $product(X0,X0) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0))) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(X2,X9,X10)))) => (? [X3 : uf_pure1] : ((size1(X3) != $product(sK0,sK0) | ? [X5 : $int,X4 : $int] : ((~same1(X3,X4,X5) | ~path1(sK2,X4,X5)) & (same1(X3,X4,X5) | path1(sK2,X4,X5)) & $less(X5,$product(sK0,sK0)) & ~$less(X5,0) & $less(X4,$product(sK0,sK0)) & ~$less(X4,0)) | size1(X3) != $sum(num1(X3),sK1) | $less(num1(X3),1)) & ! [X7 : $int,X6 : $int] : ((repr1(X3,X6,X6) & X6 = X7 & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | ~$less(X7,$product(sK0,sK0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK0,sK0))) & num1(X3) = $product(sK0,sK0) & size1(X3) = $product(sK0,sK0) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(sK0,sK0)) | $less(X8,0))) & ~$less($product(sK0,sK0),0) & ~$less(sK0,1) & 0 = sK1 & ! [X10 : $int,X9 : $int] : ((path1(sK2,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(sK2,X9,X10))))), 0.94/1.13 introduced(choice_axiom,[])). 0.94/1.13 tff(f76,plain,( 0.94/1.13 ( ! [X2:graph1,X0:$int,X1:$int] : (? [X3 : uf_pure1] : ((size1(X3) != $product(X0,X0) | ? [X4 : $int,X5 : $int] : ((~same1(X3,X4,X5) | ~path1(X2,X4,X5)) & (same1(X3,X4,X5) | path1(X2,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | size1(X3) != $sum(num1(X3),X1) | $less(num1(X3),1)) & ! [X6 : $int,X7 : $int] : ((repr1(X3,X6,X6) & X6 = X7 & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | ~$less(X7,$product(X0,X0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & num1(X3) = $product(X0,X0) & size1(X3) = $product(X0,X0) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0))) => ((size1(sK3) != $product(X0,X0) | ? [X5 : $int,X4 : $int] : ((~same1(sK3,X4,X5) | ~path1(X2,X4,X5)) & (same1(sK3,X4,X5) | path1(X2,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | size1(sK3) != $sum(num1(sK3),X1) | $less(num1(sK3),1)) & ! [X7 : $int,X6 : $int] : ((repr1(sK3,X6,X6) & X6 = X7 & repr1(sK3,X6,X7)) | ~same1(sK3,X6,X7) | ~$less(X7,$product(X0,X0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & num1(sK3) = $product(X0,X0) & size1(sK3) = $product(X0,X0) & ! [X8 : $int] : (repr1(sK3,X8,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0)))) )), 0.94/1.13 introduced(choice_axiom,[])). 0.94/1.13 tff(f77,plain,( 0.94/1.13 ( ! [X2:graph1,X0:$int,X3:uf_pure1] : (? [X4 : $int,X5 : $int] : ((~same1(X3,X4,X5) | ~path1(X2,X4,X5)) & (same1(X3,X4,X5) | path1(X2,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) => ((~same1(X3,sK4,sK5) | ~path1(X2,sK4,sK5)) & (same1(X3,sK4,sK5) | path1(X2,sK4,sK5)) & $less(sK5,$product(X0,X0)) & ~$less(sK5,0) & $less(sK4,$product(X0,X0)) & ~$less(sK4,0))) )), 0.94/1.13 introduced(choice_axiom,[])). 0.94/1.13 tff(f78,plain,( 0.94/1.13 ((size1(sK3) != $product(sK0,sK0) | ((~same1(sK3,sK4,sK5) | ~path1(sK2,sK4,sK5)) & (same1(sK3,sK4,sK5) | path1(sK2,sK4,sK5)) & $less(sK5,$product(sK0,sK0)) & ~$less(sK5,0) & $less(sK4,$product(sK0,sK0)) & ~$less(sK4,0)) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)) & ! [X6 : $int,X7 : $int] : ((repr1(sK3,X6,X6) & X6 = X7 & repr1(sK3,X6,X7)) | ~same1(sK3,X6,X7) | ~$less(X7,$product(sK0,sK0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK0,sK0))) & num1(sK3) = $product(sK0,sK0) & size1(sK3) = $product(sK0,sK0) & ! [X8 : $int] : (repr1(sK3,X8,X8) | ~$less(X8,$product(sK0,sK0)) | $less(X8,0))) & ~$less($product(sK0,sK0),0) & ~$less(sK0,1) & 0 = sK1 & ! [X9 : $int,X10 : $int] : ((path1(sK2,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(sK2,X9,X10)))), 0.94/1.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f74,f77,f76,f75])). 0.94/1.13 tff(f79,plain,( 0.94/1.13 ! [X1 : $int,X0 : uf_pure1] : (? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))) => (~$less(sK6(X0,X1),0) & repr1(X0,X1,sK6(X0,X1)) & $less(sK6(X0,X1),size1(X0))))), 0.94/1.13 introduced(choice_axiom,[])). 0.94/1.13 tff(f80,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int] : ((~$less(sK6(X0,X1),0) & repr1(X0,X1,sK6(X0,X1)) & $less(sK6(X0,X1),size1(X0))) | ~$less(X1,size1(X0)) | $less(X1,0))), 0.94/1.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f58,f79])). 0.94/1.13 tff(f85,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ? [X3 : $int] : ((~repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X1,X3) | repr1(X0,X2,X3)))) & (! [X3 : $int] : ((repr1(X0,X2,X3) | ~repr1(X0,X1,X3)) & (repr1(X0,X1,X3) | ~repr1(X0,X2,X3))) | ~same1(X0,X1,X2)))), 0.94/1.13 inference(nnf_transformation,[],[f48])). 0.94/1.13 tff(f86,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ? [X3 : $int] : ((~repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X1,X3) | repr1(X0,X2,X3)))) & (! [X4 : $int] : ((repr1(X0,X2,X4) | ~repr1(X0,X1,X4)) & (repr1(X0,X1,X4) | ~repr1(X0,X2,X4))) | ~same1(X0,X1,X2)))), 0.94/1.13 inference(rectify,[],[f85])). 0.94/1.13 tff(f87,plain,( 0.94/1.13 ! [X2 : $int,X1 : $int,X0 : uf_pure1] : (? [X3 : $int] : ((~repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X1,X3) | repr1(X0,X2,X3))) => ((~repr1(X0,X1,sK16(X0,X1,X2)) | ~repr1(X0,X2,sK16(X0,X1,X2))) & (repr1(X0,X1,sK16(X0,X1,X2)) | repr1(X0,X2,sK16(X0,X1,X2)))))), 0.94/1.13 introduced(choice_axiom,[])). 0.94/1.13 tff(f88,plain,( 0.94/1.13 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ((~repr1(X0,X1,sK16(X0,X1,X2)) | ~repr1(X0,X2,sK16(X0,X1,X2))) & (repr1(X0,X1,sK16(X0,X1,X2)) | repr1(X0,X2,sK16(X0,X1,X2))))) & (! [X4 : $int] : ((repr1(X0,X2,X4) | ~repr1(X0,X1,X4)) & (repr1(X0,X1,X4) | ~repr1(X0,X2,X4))) | ~same1(X0,X1,X2)))), 0.94/1.13 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f86,f87])). 0.94/1.13 tff(f90,plain,( 0.94/1.13 ( ! [X10:$int,X9:$int] : (~path1(sK2,X9,X10) | X9 = X10) )), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f91,plain,( 0.94/1.13 ( ! [X10:$int,X9:$int] : (path1(sK2,X9,X10) | X9 != X10) )), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f92,plain,( 0.94/1.13 0 = sK1), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f93,plain,( 0.94/1.13 ~$less(sK0,1)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f94,plain,( 0.94/1.13 ~$less($product(sK0,sK0),0)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f95,plain,( 0.94/1.13 ( ! [X8:$int] : (repr1(sK3,X8,X8) | ~$less(X8,$product(sK0,sK0)) | $less(X8,0)) )), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f96,plain,( 0.94/1.13 size1(sK3) = $product(sK0,sK0)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f97,plain,( 0.94/1.13 num1(sK3) = $product(sK0,sK0)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f98,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (repr1(sK3,X6,X7) | ~same1(sK3,X6,X7) | ~$less(X7,$product(sK0,sK0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK0,sK0))) )), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f99,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (X6 = X7 | ~same1(sK3,X6,X7) | ~$less(X7,$product(sK0,sK0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK0,sK0))) )), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f101,plain,( 0.94/1.13 size1(sK3) != $product(sK0,sK0) | ~$less(sK4,0) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f102,plain,( 0.94/1.13 size1(sK3) != $product(sK0,sK0) | $less(sK4,$product(sK0,sK0)) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f103,plain,( 0.94/1.13 size1(sK3) != $product(sK0,sK0) | ~$less(sK5,0) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f104,plain,( 0.94/1.13 size1(sK3) != $product(sK0,sK0) | $less(sK5,$product(sK0,sK0)) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f105,plain,( 0.94/1.13 size1(sK3) != $product(sK0,sK0) | same1(sK3,sK4,sK5) | path1(sK2,sK4,sK5) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f106,plain,( 0.94/1.13 size1(sK3) != $product(sK0,sK0) | ~same1(sK3,sK4,sK5) | ~path1(sK2,sK4,sK5) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 0.94/1.13 inference(cnf_transformation,[],[f78])). 0.94/1.13 tff(f107,plain,( 0.94/1.13 true1 != false1), 0.94/1.13 inference(cnf_transformation,[],[f6])). 0.94/1.13 tff(f113,plain,( 0.94/1.13 ( ! [X2:$int,X0:uf_pure1,X1:$int] : (same1(X0,X1,X2) | ~$less(X2,size1(X0)) | $less(X2,0) | $less(X1,0) | ~$less(X1,size1(X0)) | num1(X0) != 1) )), 0.94/1.13 inference(cnf_transformation,[],[f54])). 0.94/1.13 tff(f119,plain,( 0.94/1.13 ( ! [X0:uf_pure1,X1:$int] : (~$less(X1,size1(X0)) | $less(sK6(X0,X1),size1(X0)) | $less(X1,0)) )), 0.94/1.13 inference(cnf_transformation,[],[f80])). 0.94/1.13 tff(f120,plain,( 0.94/1.13 ( ! [X0:uf_pure1,X1:$int] : (repr1(X0,X1,sK6(X0,X1)) | ~$less(X1,size1(X0)) | $less(X1,0)) )), 0.94/1.13 inference(cnf_transformation,[],[f80])). 0.94/1.13 tff(f121,plain,( 0.94/1.13 ( ! [X0:uf_pure1,X1:$int] : (~$less(X1,size1(X0)) | ~$less(sK6(X0,X1),0) | $less(X1,0)) )), 0.94/1.13 inference(cnf_transformation,[],[f80])). 0.94/1.13 tff(f122,plain,( 0.94/1.13 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X0) | $less(X2,0) | ~$less(X2,X0) | $less(X1,0) | $less($sum($product(X1,X0),X2),$product(X0,X0)) | $less(X0,0)) )), 0.94/1.13 inference(cnf_transformation,[],[f60])). 0.94/1.13 tff(f123,plain,( 0.94/1.13 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X0) | $less(X2,0) | ~$less(X2,X0) | $less(X1,0) | ~$less($sum($product(X1,X0),X2),0) | $less(X0,0)) )), 0.94/1.13 inference(cnf_transformation,[],[f60])). 0.94/1.13 tff(f126,plain,( 0.94/1.13 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 0.94/1.13 inference(cnf_transformation,[],[f64])). 0.94/1.13 tff(f190,plain,( 0.94/1.13 ( ! [X2:$int,X0:uf_pure1,X1:$int] : (repr1(X0,X1,sK16(X0,X1,X2)) | repr1(X0,X2,sK16(X0,X1,X2)) | same1(X0,X1,X2)) )), 0.94/1.13 inference(cnf_transformation,[],[f88])). 0.94/1.13 tff(f191,plain,( 0.94/1.13 ( ! [X2:$int,X0:uf_pure1,X1:$int] : (~repr1(X0,X2,sK16(X0,X1,X2)) | ~repr1(X0,X1,sK16(X0,X1,X2)) | same1(X0,X1,X2)) )), 0.94/1.13 inference(cnf_transformation,[],[f88])). 0.94/1.13 tff(f194,plain,( 0.94/1.13 ( ! [X2:$int,X0:uf_pure1,X3:$int,X1:$int] : (~repr1(X0,X1,X2) | ~repr1(X0,X1,X3) | X2 = X3 | ~$less(X1,size1(X0)) | $less(X1,0)) )), 0.94/1.13 inference(cnf_transformation,[],[f71])). 0.94/1.13 tff(f195,plain,( 0.94/1.13 ( ! [X10:$int] : (path1(sK2,X10,X10)) )), 0.94/1.13 inference(equality_resolution,[],[f91])). 0.94/1.13 tff(f197,plain,( 0.94/1.13 spl17_1 <=> ~$less(num1(sK3),1)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_1])])). 0.94/1.13 tff(f198,plain,( 0.94/1.13 ~$less(num1(sK3),1) | ~spl17_1), 0.94/1.13 inference(AVATAR_component_clause,[],[f197])). 0.94/1.13 tff(f200,plain,( 0.94/1.13 spl17_0 <=> $less(num1(sK3),1)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_0])])). 0.94/1.13 tff(f203,plain,( 0.94/1.13 spl17_2 <=> size1(sK3) = $sum(num1(sK3),sK1)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_2])])). 0.94/1.13 tff(f204,plain,( 0.94/1.13 size1(sK3) = $sum(num1(sK3),sK1) | ~spl17_2), 0.94/1.13 inference(AVATAR_component_clause,[],[f203])). 0.94/1.13 tff(f206,plain,( 0.94/1.13 spl17_3 <=> size1(sK3) != $sum(num1(sK3),sK1)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_3])])). 0.94/1.13 tff(f209,plain,( 0.94/1.13 spl17_4 <=> path1(sK2,sK4,sK5)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_4])])). 0.94/1.13 tff(f210,plain,( 0.94/1.13 path1(sK2,sK4,sK5) | ~spl17_4), 0.94/1.13 inference(AVATAR_component_clause,[],[f209])). 0.94/1.13 tff(f212,plain,( 0.94/1.13 spl17_5 <=> ~path1(sK2,sK4,sK5)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_5])])). 0.94/1.13 tff(f213,plain,( 0.94/1.13 ~path1(sK2,sK4,sK5) | ~spl17_5), 0.94/1.13 inference(AVATAR_component_clause,[],[f212])). 0.94/1.13 tff(f215,plain,( 0.94/1.13 spl17_6 <=> same1(sK3,sK4,sK5)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_6])])). 0.94/1.13 tff(f216,plain,( 0.94/1.13 same1(sK3,sK4,sK5) | ~spl17_6), 0.94/1.13 inference(AVATAR_component_clause,[],[f215])). 0.94/1.13 tff(f218,plain,( 0.94/1.13 spl17_7 <=> ~same1(sK3,sK4,sK5)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_7])])). 0.94/1.13 tff(f219,plain,( 0.94/1.13 ~same1(sK3,sK4,sK5) | ~spl17_7), 0.94/1.13 inference(AVATAR_component_clause,[],[f218])). 0.94/1.13 tff(f221,plain,( 0.94/1.13 spl17_8 <=> size1(sK3) = $product(sK0,sK0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_8])])). 0.94/1.13 tff(f222,plain,( 0.94/1.13 size1(sK3) = $product(sK0,sK0) | ~spl17_8), 0.94/1.13 inference(AVATAR_component_clause,[],[f221])). 0.94/1.13 tff(f224,plain,( 0.94/1.13 spl17_9 <=> size1(sK3) != $product(sK0,sK0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_9])])). 0.94/1.13 tff(f226,plain,( 0.94/1.13 spl17_0 | ~spl17_3 | ~spl17_5 | ~spl17_7 | ~spl17_9), 0.94/1.13 inference(AVATAR_split_clause,[],[f106,f224,f218,f212,f206,f200])). 0.94/1.13 tff(f227,plain,( 0.94/1.13 spl17_0 | ~spl17_3 | spl17_4 | spl17_6 | ~spl17_9), 0.94/1.13 inference(AVATAR_split_clause,[],[f105,f224,f215,f209,f206,f200])). 0.94/1.13 tff(f228,plain,( 0.94/1.13 size1(sK3) != $product(sK0,sK0) | $less(sK5,size1(sK3)) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 0.94/1.13 inference(inner_rewriting,[],[f104])). 0.94/1.13 tff(f233,plain,( 0.94/1.13 spl17_10 <=> $less(sK5,size1(sK3))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_10])])). 0.94/1.13 tff(f234,plain,( 0.94/1.13 $less(sK5,size1(sK3)) | ~spl17_10), 0.94/1.13 inference(AVATAR_component_clause,[],[f233])). 0.94/1.13 tff(f235,plain,( 0.94/1.13 spl17_0 | ~spl17_3 | spl17_10 | ~spl17_9), 0.94/1.13 inference(AVATAR_split_clause,[],[f228,f224,f233,f206,f200])). 0.94/1.13 tff(f240,plain,( 0.94/1.13 spl17_13 <=> ~$less(sK5,0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_13])])). 0.94/1.13 tff(f241,plain,( 0.94/1.13 ~$less(sK5,0) | ~spl17_13), 0.94/1.13 inference(AVATAR_component_clause,[],[f240])). 0.94/1.13 tff(f242,plain,( 0.94/1.13 spl17_0 | ~spl17_3 | ~spl17_13 | ~spl17_9), 0.94/1.13 inference(AVATAR_split_clause,[],[f103,f224,f240,f206,f200])). 0.94/1.13 tff(f243,plain,( 0.94/1.13 size1(sK3) != $product(sK0,sK0) | $less(sK4,size1(sK3)) | size1(sK3) != $sum(num1(sK3),sK1) | $less(num1(sK3),1)), 0.94/1.13 inference(inner_rewriting,[],[f102])). 0.94/1.13 tff(f248,plain,( 0.94/1.13 spl17_14 <=> $less(sK4,size1(sK3))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_14])])). 0.94/1.13 tff(f249,plain,( 0.94/1.13 $less(sK4,size1(sK3)) | ~spl17_14), 0.94/1.13 inference(AVATAR_component_clause,[],[f248])). 0.94/1.13 tff(f250,plain,( 0.94/1.13 spl17_0 | ~spl17_3 | spl17_14 | ~spl17_9), 0.94/1.13 inference(AVATAR_split_clause,[],[f243,f224,f248,f206,f200])). 0.94/1.13 tff(f255,plain,( 0.94/1.13 spl17_17 <=> ~$less(sK4,0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_17])])). 0.94/1.13 tff(f256,plain,( 0.94/1.13 ~$less(sK4,0) | ~spl17_17), 0.94/1.13 inference(AVATAR_component_clause,[],[f255])). 0.94/1.13 tff(f257,plain,( 0.94/1.13 spl17_0 | ~spl17_3 | ~spl17_17 | ~spl17_9), 0.94/1.13 inference(AVATAR_split_clause,[],[f101,f224,f255,f206,f200])). 0.94/1.13 tff(f262,plain,( 0.94/1.13 spl17_18 <=> num1(sK3) = $product(sK0,sK0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_18])])). 0.94/1.13 tff(f263,plain,( 0.94/1.13 num1(sK3) = $product(sK0,sK0) | ~spl17_18), 0.94/1.13 inference(AVATAR_component_clause,[],[f262])). 0.94/1.13 tff(f264,plain,( 0.94/1.13 spl17_18), 0.94/1.13 inference(AVATAR_split_clause,[],[f97,f262])). 0.94/1.13 tff(f265,plain,( 0.94/1.13 spl17_8), 0.94/1.13 inference(AVATAR_split_clause,[],[f96,f221])). 0.94/1.13 tff(f270,plain,( 0.94/1.13 spl17_21 <=> ~$less($product(sK0,sK0),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_21])])). 0.94/1.13 tff(f271,plain,( 0.94/1.13 ~$less($product(sK0,sK0),0) | ~spl17_21), 0.94/1.13 inference(AVATAR_component_clause,[],[f270])). 0.94/1.13 tff(f272,plain,( 0.94/1.13 ~spl17_21), 0.94/1.13 inference(AVATAR_split_clause,[],[f94,f270])). 0.94/1.13 tff(f277,plain,( 0.94/1.13 spl17_23 <=> ~$less(sK0,1)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_23])])). 0.94/1.13 tff(f279,plain,( 0.94/1.13 ~spl17_23), 0.94/1.13 inference(AVATAR_split_clause,[],[f93,f277])). 0.94/1.13 tff(f284,plain,( 0.94/1.13 spl17_24 <=> 0 = sK1), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_24])])). 0.94/1.13 tff(f285,plain,( 0.94/1.13 0 = sK1 | ~spl17_24), 0.94/1.13 inference(AVATAR_component_clause,[],[f284])). 0.94/1.13 tff(f286,plain,( 0.94/1.13 spl17_24), 0.94/1.13 inference(AVATAR_split_clause,[],[f92,f284])). 0.94/1.13 tff(f291,plain,( 0.94/1.13 spl17_27 <=> true1 != false1), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_27])])). 0.94/1.13 tff(f293,plain,( 0.94/1.13 ~spl17_27), 0.94/1.13 inference(AVATAR_split_clause,[],[f107,f291])). 0.94/1.13 tff(f294,plain,( 0.94/1.13 ( ! [X8:$int] : (~$less(X8,num1(sK3)) | repr1(sK3,X8,X8) | $less(X8,0)) ) | ~spl17_18), 0.94/1.13 inference(backward_demodulation,[],[f263,f95])). 0.94/1.13 tff(f295,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (~$less(X6,num1(sK3)) | repr1(sK3,X6,X7) | ~same1(sK3,X6,X7) | ~$less(X7,$product(sK0,sK0)) | $less(X7,0) | $less(X6,0)) ) | ~spl17_18), 0.94/1.13 inference(backward_demodulation,[],[f263,f98])). 0.94/1.13 tff(f296,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (~$less(X6,num1(sK3)) | X6 = X7 | ~same1(sK3,X6,X7) | ~$less(X7,$product(sK0,sK0)) | $less(X7,0) | $less(X6,0)) ) | ~spl17_18), 0.94/1.13 inference(backward_demodulation,[],[f263,f99])). 0.94/1.13 tff(f298,plain,( 0.94/1.13 ~$less(num1(sK3),0) | (~spl17_18 | ~spl17_21)), 0.94/1.13 inference(backward_demodulation,[],[f263,f271])). 0.94/1.13 tff(f299,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (~$less(X7,num1(sK3)) | ~$less(X6,num1(sK3)) | repr1(sK3,X6,X7) | ~same1(sK3,X6,X7) | $less(X7,0) | $less(X6,0)) ) | ~spl17_18), 0.94/1.13 inference(forward_demodulation,[],[f295,f263])). 0.94/1.13 tff(f300,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (~$less(X7,num1(sK3)) | ~$less(X6,num1(sK3)) | X6 = X7 | ~same1(sK3,X6,X7) | $less(X7,0) | $less(X6,0)) ) | ~spl17_18), 0.94/1.13 inference(forward_demodulation,[],[f296,f263])). 0.94/1.13 tff(f305,plain,( 0.94/1.13 spl17_29 <=> ~$less(num1(sK3),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_29])])). 0.94/1.13 tff(f306,plain,( 0.94/1.13 ~$less(num1(sK3),0) | ~spl17_29), 0.94/1.13 inference(AVATAR_component_clause,[],[f305])). 0.94/1.13 tff(f307,plain,( 0.94/1.13 ~spl17_29 | ~spl17_18 | spl17_21), 0.94/1.13 inference(AVATAR_split_clause,[],[f298,f270,f262,f305])). 0.94/1.13 tff(f308,plain,( 0.94/1.13 size1(sK3) = num1(sK3) | (~spl17_8 | ~spl17_18)), 0.94/1.13 inference(backward_demodulation,[],[f222,f263])). 0.94/1.13 tff(f313,plain,( 0.94/1.13 spl17_30 <=> size1(sK3) = num1(sK3)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_30])])). 0.94/1.13 tff(f314,plain,( 0.94/1.13 size1(sK3) = num1(sK3) | ~spl17_30), 0.94/1.13 inference(AVATAR_component_clause,[],[f313])). 0.94/1.13 tff(f315,plain,( 0.94/1.13 spl17_30 | ~spl17_8 | ~spl17_18), 0.94/1.13 inference(AVATAR_split_clause,[],[f308,f262,f221,f313])). 0.94/1.13 tff(f316,plain,( 0.94/1.13 size1(sK3) = $sum(num1(sK3),0) | (~spl17_2 | ~spl17_24)), 0.94/1.13 inference(forward_demodulation,[],[f204,f285])). 0.94/1.13 tff(f317,plain,( 0.94/1.13 size1(sK3) = num1(sK3) | (~spl17_2 | ~spl17_24)), 0.94/1.13 inference(evaluation,[],[f316])). 0.94/1.13 tff(f318,plain,( 0.94/1.13 spl17_30 | ~spl17_2 | ~spl17_24), 0.94/1.13 inference(AVATAR_split_clause,[],[f317,f284,f203,f313])). 0.94/1.13 tff(f319,plain,( 0.94/1.13 ~$less(size1(sK3),1) | (~spl17_1 | ~spl17_30)), 0.94/1.13 inference(backward_demodulation,[],[f314,f198])). 0.94/1.13 tff(f320,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (~$less(X6,size1(sK3)) | ~$less(X7,num1(sK3)) | X6 = X7 | ~same1(sK3,X6,X7) | $less(X7,0) | $less(X6,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(backward_demodulation,[],[f314,f300])). 0.94/1.13 tff(f321,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (~$less(X6,size1(sK3)) | ~$less(X7,num1(sK3)) | repr1(sK3,X6,X7) | ~same1(sK3,X6,X7) | $less(X7,0) | $less(X6,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(backward_demodulation,[],[f314,f299])). 0.94/1.13 tff(f322,plain,( 0.94/1.13 ( ! [X8:$int] : (repr1(sK3,X8,X8) | ~$less(X8,size1(sK3)) | $less(X8,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(backward_demodulation,[],[f314,f294])). 0.94/1.13 tff(f327,plain,( 0.94/1.13 spl17_33 <=> ~$less(size1(sK3),1)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_33])])). 0.94/1.13 tff(f329,plain,( 0.94/1.13 ~spl17_33 | spl17_1 | ~spl17_30), 0.94/1.13 inference(AVATAR_split_clause,[],[f319,f313,f197,f327])). 0.94/1.13 tff(f330,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (~same1(sK3,X6,X7) | ~$less(X6,size1(sK3)) | X6 = X7 | ~$less(X7,size1(sK3)) | $less(X7,0) | $less(X6,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(forward_demodulation,[],[f320,f314])). 0.94/1.13 tff(f331,plain,( 0.94/1.13 ( ! [X6:$int,X7:$int] : (~same1(sK3,X6,X7) | ~$less(X6,size1(sK3)) | repr1(sK3,X6,X7) | ~$less(X7,size1(sK3)) | $less(X7,0) | $less(X6,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(forward_demodulation,[],[f321,f314])). 0.94/1.13 tff(f332,plain,( 0.94/1.13 ~$less(size1(sK3),0) | (~spl17_29 | ~spl17_30)), 0.94/1.13 inference(forward_demodulation,[],[f306,f314])). 0.94/1.13 tff(f337,plain,( 0.94/1.13 spl17_35 <=> ~$less(size1(sK3),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_35])])). 0.94/1.13 tff(f338,plain,( 0.94/1.13 ~$less(size1(sK3),0) | ~spl17_35), 0.94/1.13 inference(AVATAR_component_clause,[],[f337])). 0.94/1.13 tff(f339,plain,( 0.94/1.13 ~spl17_35 | spl17_29 | ~spl17_30), 0.94/1.13 inference(AVATAR_split_clause,[],[f332,f313,f305,f337])). 0.94/1.13 tff(f344,plain,( 0.94/1.13 sK4 = sK5 | ~spl17_4), 0.94/1.13 inference(resolution,[],[f90,f210])). 0.94/1.13 tff(f347,plain,( 0.94/1.13 spl17_37 <=> sK4 != sK5), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_37])])). 0.94/1.13 tff(f348,plain,( 0.94/1.13 sK4 != sK5 | ~spl17_37), 0.94/1.13 inference(AVATAR_component_clause,[],[f347])). 0.94/1.13 tff(f350,plain,( 0.94/1.13 spl17_36 <=> sK4 = sK5), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_36])])). 0.94/1.13 tff(f351,plain,( 0.94/1.13 sK4 = sK5 | ~spl17_36), 0.94/1.13 inference(AVATAR_component_clause,[],[f350])). 0.94/1.13 tff(f352,plain,( 0.94/1.13 spl17_36 | ~spl17_4), 0.94/1.13 inference(AVATAR_split_clause,[],[f344,f209,f350])). 0.94/1.13 tff(f354,plain,( 0.94/1.13 ~same1(sK3,sK4,sK4) | (~spl17_7 | ~spl17_36)), 0.94/1.13 inference(backward_demodulation,[],[f351,f219])). 0.94/1.13 tff(f361,plain,( 0.94/1.13 spl17_39 <=> ~same1(sK3,sK4,sK4)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_39])])). 0.94/1.13 tff(f362,plain,( 0.94/1.13 ~same1(sK3,sK4,sK4) | ~spl17_39), 0.94/1.13 inference(AVATAR_component_clause,[],[f361])). 0.94/1.13 tff(f363,plain,( 0.94/1.13 ~spl17_39 | spl17_7 | ~spl17_36), 0.94/1.13 inference(AVATAR_split_clause,[],[f354,f350,f218,f361])). 0.94/1.13 tff(f419,plain,( 0.94/1.13 ~$less(sK6(sK3,sK4),0) | $less(sK4,0) | ~spl17_14), 0.94/1.13 inference(resolution,[],[f121,f249])). 0.94/1.13 tff(f420,plain,( 0.94/1.13 ~$less(sK6(sK3,sK4),0) | (~spl17_14 | ~spl17_17)), 0.94/1.13 inference(subsumption_resolution,[],[f419,f256])). 0.94/1.13 tff(f425,plain,( 0.94/1.13 spl17_41 <=> ~$less(sK6(sK3,sK4),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_41])])). 0.94/1.13 tff(f426,plain,( 0.94/1.13 ~$less(sK6(sK3,sK4),0) | ~spl17_41), 0.94/1.13 inference(AVATAR_component_clause,[],[f425])). 0.94/1.13 tff(f427,plain,( 0.94/1.13 ~spl17_41 | ~spl17_14 | spl17_17), 0.94/1.13 inference(AVATAR_split_clause,[],[f420,f255,f248,f425])). 0.94/1.13 tff(f431,plain,( 0.94/1.13 $less(sK6(sK3,sK4),size1(sK3)) | $less(sK4,0) | ~spl17_14), 0.94/1.13 inference(resolution,[],[f119,f249])). 0.94/1.13 tff(f432,plain,( 0.94/1.13 $less(sK6(sK3,sK4),size1(sK3)) | (~spl17_14 | ~spl17_17)), 0.94/1.13 inference(subsumption_resolution,[],[f431,f256])). 0.94/1.13 tff(f437,plain,( 0.94/1.13 spl17_42 <=> $less(sK6(sK3,sK4),size1(sK3))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_42])])). 0.94/1.13 tff(f438,plain,( 0.94/1.13 $less(sK6(sK3,sK4),size1(sK3)) | ~spl17_42), 0.94/1.13 inference(AVATAR_component_clause,[],[f437])). 0.94/1.13 tff(f439,plain,( 0.94/1.13 spl17_42 | ~spl17_14 | spl17_17), 0.94/1.13 inference(AVATAR_split_clause,[],[f432,f255,f248,f437])). 0.94/1.13 tff(f440,plain,( 0.94/1.13 ( ! [X0:$int] : (~$less(size1(sK3),$product(X0,sK0)) | $less(sK0,0) | $less(sK0,X0)) ) | ~spl17_8), 0.94/1.13 inference(superposition,[],[f126,f222])). 0.94/1.13 tff(f441,plain,( 0.94/1.13 ( ! [X0:$int] : (~$less($product(X0,sK0),size1(sK3)) | $less(sK0,0) | $less(X0,sK0)) ) | ~spl17_8), 0.94/1.13 inference(superposition,[],[f126,f222])). 0.94/1.13 tff(f446,plain,( 0.94/1.13 spl17_44 <=> $less(sK0,0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_44])])). 0.94/1.13 tff(f449,plain,( 0.94/1.13 spl17_46 <=> ! [X0 : $int] : (~$less(size1(sK3),$product(X0,sK0)) | $less(sK0,X0))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_46])])). 0.94/1.13 tff(f450,plain,( 0.94/1.13 ( ! [X0:$int] : (~$less(size1(sK3),$product(X0,sK0)) | $less(sK0,X0)) ) | ~spl17_46), 0.94/1.13 inference(AVATAR_component_clause,[],[f449])). 0.94/1.13 tff(f451,plain,( 0.94/1.13 spl17_44 | spl17_46 | ~spl17_8), 0.94/1.13 inference(AVATAR_split_clause,[],[f440,f221,f449,f446])). 0.94/1.13 tff(f453,plain,( 0.94/1.13 spl17_48 <=> ! [X0 : $int] : (~$less($product(X0,sK0),size1(sK3)) | $less(X0,sK0))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_48])])). 0.94/1.13 tff(f455,plain,( 0.94/1.13 spl17_44 | spl17_48 | ~spl17_8), 0.94/1.13 inference(AVATAR_split_clause,[],[f441,f221,f453,f446])). 0.94/1.13 tff(f456,plain,( 0.94/1.13 ( ! [X0:uf_pure1,X1:$int] : (repr1(X0,X1,sK16(X0,X1,X1)) | same1(X0,X1,X1)) )), 0.94/1.13 inference(factoring,[],[f190])). 0.94/1.13 tff(f460,plain,( 0.94/1.13 ( ! [X0:$int,X1:$int] : (~repr1(sK3,X0,X1) | X0 = X1 | ~$less(X0,size1(sK3)) | $less(X0,0) | ~$less(X0,size1(sK3)) | $less(X0,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(resolution,[],[f194,f322])). 0.94/1.13 tff(f465,plain,( 0.94/1.13 ( ! [X0:$int,X1:$int] : (~repr1(sK3,X0,X1) | X0 = X1 | ~$less(X0,size1(sK3)) | $less(X0,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(duplicate_literal_removal,[],[f460])). 0.94/1.13 tff(f466,plain,( 0.94/1.13 ~$less(sK4,size1(sK3)) | $less(sK4,0) | $less(sK4,0) | ~$less(sK4,size1(sK3)) | num1(sK3) != 1 | ~spl17_39), 0.94/1.13 inference(resolution,[],[f113,f362])). 0.94/1.13 tff(f467,plain,( 0.94/1.13 ( ! [X0:$int,X1:$int] : (~$less(X0,size1(sK3)) | $less(X0,0) | $less(X1,0) | ~$less(X1,size1(sK3)) | num1(sK3) != 1 | ~$less(X1,size1(sK3)) | repr1(sK3,X1,X0) | ~$less(X0,size1(sK3)) | $less(X0,0) | $less(X1,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(resolution,[],[f113,f331])). 0.94/1.13 tff(f468,plain,( 0.94/1.13 ( ! [X2:$int,X3:$int] : (~$less(X2,size1(sK3)) | $less(X2,0) | $less(X3,0) | ~$less(X3,size1(sK3)) | num1(sK3) != 1 | ~$less(X3,size1(sK3)) | X2 = X3 | ~$less(X2,size1(sK3)) | $less(X2,0) | $less(X3,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(resolution,[],[f113,f330])). 0.94/1.13 tff(f471,plain,( 0.94/1.13 ( ! [X2:$int,X3:$int] : (~$less(X2,size1(sK3)) | $less(X2,0) | $less(X3,0) | ~$less(X3,size1(sK3)) | num1(sK3) != 1 | X2 = X3) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(duplicate_literal_removal,[],[f468])). 0.94/1.13 tff(f472,plain,( 0.94/1.13 ( ! [X0:$int,X1:$int] : (~$less(X0,size1(sK3)) | $less(X0,0) | $less(X1,0) | ~$less(X1,size1(sK3)) | num1(sK3) != 1 | repr1(sK3,X1,X0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(duplicate_literal_removal,[],[f467])). 0.94/1.13 tff(f473,plain,( 0.94/1.13 ~$less(sK4,size1(sK3)) | $less(sK4,0) | num1(sK3) != 1 | ~spl17_39), 0.94/1.13 inference(duplicate_literal_removal,[],[f466])). 0.94/1.13 tff(f474,plain,( 0.94/1.13 $less(sK4,0) | num1(sK3) != 1 | (~spl17_14 | ~spl17_39)), 0.94/1.13 inference(subsumption_resolution,[],[f473,f249])). 0.94/1.13 tff(f475,plain,( 0.94/1.13 num1(sK3) != 1 | (~spl17_14 | ~spl17_17 | ~spl17_39)), 0.94/1.13 inference(subsumption_resolution,[],[f474,f256])). 0.94/1.13 tff(f480,plain,( 0.94/1.13 spl17_51 <=> num1(sK3) != 1), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_51])])). 0.94/1.13 tff(f482,plain,( 0.94/1.13 ~spl17_51 | ~spl17_14 | spl17_17 | spl17_39), 0.94/1.13 inference(AVATAR_split_clause,[],[f475,f361,f255,f248,f480])). 0.94/1.13 tff(f483,plain,( 0.94/1.13 ( ! [X0:$int,X1:$int] : (size1(sK3) != 1 | ~$less(X0,size1(sK3)) | $less(X0,0) | $less(X1,0) | ~$less(X1,size1(sK3)) | repr1(sK3,X1,X0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(forward_demodulation,[],[f472,f314])). 0.94/1.13 tff(f484,plain,( 0.94/1.13 ( ! [X0:$int,X1:$int] : (size1(sK3) != 1 | ~$less(X0,1) | $less(X0,0) | $less(X1,0) | ~$less(X1,1) | repr1(sK3,X1,X0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(inner_rewriting,[],[f483])). 0.94/1.13 tff(f486,plain,( 0.94/1.13 spl17_52 <=> ! [X1 : $int,X0 : $int] : (~$less(X0,1) | $less(X1,0) | repr1(sK3,X1,X0) | ~$less(X1,1) | $less(X0,0))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_52])])). 0.94/1.13 tff(f492,plain,( 0.94/1.13 spl17_55 <=> size1(sK3) != 1), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_55])])). 0.94/1.13 tff(f494,plain,( 0.94/1.13 spl17_52 | ~spl17_55 | ~spl17_18 | ~spl17_30), 0.94/1.13 inference(AVATAR_split_clause,[],[f484,f313,f262,f492,f486])). 0.94/1.13 tff(f495,plain,( 0.94/1.13 ( ! [X2:$int,X3:$int] : (size1(sK3) != 1 | ~$less(X2,size1(sK3)) | $less(X2,0) | $less(X3,0) | ~$less(X3,size1(sK3)) | X2 = X3) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(forward_demodulation,[],[f471,f314])). 0.94/1.13 tff(f496,plain,( 0.94/1.13 ( ! [X2:$int,X3:$int] : (size1(sK3) != 1 | ~$less(X2,1) | $less(X2,0) | $less(X3,0) | ~$less(X3,1) | X2 = X3) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(inner_rewriting,[],[f495])). 0.94/1.13 tff(f498,plain,( 0.94/1.13 spl17_56 <=> ! [X3 : $int,X2 : $int] : (~$less(X2,1) | X2 = X3 | $less(X3,0) | ~$less(X3,1) | $less(X2,0))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_56])])). 0.94/1.13 tff(f500,plain,( 0.94/1.13 spl17_56 | ~spl17_55 | ~spl17_18 | ~spl17_30), 0.94/1.13 inference(AVATAR_split_clause,[],[f496,f313,f262,f492,f498])). 0.94/1.13 tff(f502,plain,( 0.94/1.13 ( ! [X0:$int] : ($less(X0,0) | ~$less(X0,size1(sK3)) | $less(sK4,0) | ~$less($sum($product(sK4,size1(sK3)),X0),0) | $less(size1(sK3),0)) ) | ~spl17_14), 0.94/1.13 inference(resolution,[],[f123,f249])). 0.94/1.13 tff(f503,plain,( 0.94/1.13 ( ! [X0:$int] : ($less(X0,0) | ~$less(X0,size1(sK3)) | ~$less($sum($product(sK4,size1(sK3)),X0),0) | $less(size1(sK3),0)) ) | (~spl17_14 | ~spl17_17)), 0.94/1.13 inference(subsumption_resolution,[],[f502,f256])). 0.94/1.13 tff(f504,plain,( 0.94/1.13 ( ! [X0:$int] : (~$less(X0,size1(sK3)) | $less(X0,0) | ~$less($sum($product(sK4,size1(sK3)),X0),0)) ) | (~spl17_14 | ~spl17_17 | ~spl17_35)), 0.94/1.13 inference(subsumption_resolution,[],[f503,f338])). 0.94/1.13 tff(f511,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK4)),size1(sK3)) | $less(sK6(sK3,sK4),0) | ~spl17_42), 0.94/1.13 inference(resolution,[],[f438,f119])). 0.94/1.13 tff(f512,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK4)),0) | $less(sK6(sK3,sK4),0) | ~spl17_42), 0.94/1.13 inference(resolution,[],[f438,f121])). 0.94/1.13 tff(f514,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK4)),size1(sK3)) | (~spl17_41 | ~spl17_42)), 0.94/1.13 inference(subsumption_resolution,[],[f511,f426])). 0.94/1.13 tff(f519,plain,( 0.94/1.13 spl17_58 <=> $less(sK6(sK3,sK6(sK3,sK4)),size1(sK3))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_58])])). 0.94/1.13 tff(f520,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK4)),size1(sK3)) | ~spl17_58), 0.94/1.13 inference(AVATAR_component_clause,[],[f519])). 0.94/1.13 tff(f521,plain,( 0.94/1.13 spl17_58 | spl17_41 | ~spl17_42), 0.94/1.13 inference(AVATAR_split_clause,[],[f514,f437,f425,f519])). 0.94/1.13 tff(f522,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK4)),0) | (~spl17_41 | ~spl17_42)), 0.94/1.13 inference(subsumption_resolution,[],[f512,f426])). 0.94/1.13 tff(f527,plain,( 0.94/1.13 spl17_61 <=> ~$less(sK6(sK3,sK6(sK3,sK4)),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_61])])). 0.94/1.13 tff(f528,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK4)),0) | ~spl17_61), 0.94/1.13 inference(AVATAR_component_clause,[],[f527])). 0.94/1.13 tff(f529,plain,( 0.94/1.13 ~spl17_61 | spl17_41 | ~spl17_42), 0.94/1.13 inference(AVATAR_split_clause,[],[f522,f437,f425,f527])). 0.94/1.13 tff(f548,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),size1(sK3)) | $less(sK6(sK3,sK6(sK3,sK4)),0) | ~spl17_58), 0.94/1.13 inference(resolution,[],[f520,f119])). 0.94/1.13 tff(f549,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),0) | $less(sK6(sK3,sK6(sK3,sK4)),0) | ~spl17_58), 0.94/1.13 inference(resolution,[],[f520,f121])). 0.94/1.13 tff(f551,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),size1(sK3)) | (~spl17_58 | ~spl17_61)), 0.94/1.13 inference(subsumption_resolution,[],[f548,f528])). 0.94/1.13 tff(f556,plain,( 0.94/1.13 spl17_62 <=> $less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),size1(sK3))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_62])])). 0.94/1.13 tff(f557,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),size1(sK3)) | ~spl17_62), 0.94/1.13 inference(AVATAR_component_clause,[],[f556])). 0.94/1.13 tff(f558,plain,( 0.94/1.13 spl17_62 | ~spl17_58 | spl17_61), 0.94/1.13 inference(AVATAR_split_clause,[],[f551,f527,f519,f556])). 0.94/1.13 tff(f559,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),0) | (~spl17_58 | ~spl17_61)), 0.94/1.13 inference(subsumption_resolution,[],[f549,f528])). 0.94/1.13 tff(f564,plain,( 0.94/1.13 spl17_65 <=> ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_65])])). 0.94/1.13 tff(f565,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),0) | ~spl17_65), 0.94/1.13 inference(AVATAR_component_clause,[],[f564])). 0.94/1.13 tff(f566,plain,( 0.94/1.13 ~spl17_65 | ~spl17_58 | spl17_61), 0.94/1.13 inference(AVATAR_split_clause,[],[f559,f527,f519,f564])). 0.94/1.13 tff(f577,plain,( 0.94/1.13 ~$less(size1(sK3),size1(sK3)) | $less(sK0,sK0) | (~spl17_8 | ~spl17_46)), 0.94/1.13 inference(superposition,[],[f450,f222])). 0.94/1.13 tff(f582,plain,( 0.94/1.13 spl17_66 <=> $less(sK0,sK0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_66])])). 0.94/1.13 tff(f588,plain,( 0.94/1.13 spl17_69 <=> ~$less(size1(sK3),size1(sK3))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_69])])). 0.94/1.13 tff(f590,plain,( 0.94/1.13 spl17_66 | ~spl17_69 | ~spl17_8 | ~spl17_46), 0.94/1.13 inference(AVATAR_split_clause,[],[f577,f449,f221,f588,f582])). 0.94/1.13 tff(f616,plain,( 0.94/1.13 ( ! [X0:$int] : ($less(X0,0) | ~$less(X0,size1(sK3)) | $less(sK4,0) | $less($sum($product(sK4,size1(sK3)),X0),$product(size1(sK3),size1(sK3))) | $less(size1(sK3),0)) ) | ~spl17_14), 0.94/1.13 inference(resolution,[],[f122,f249])). 0.94/1.13 tff(f619,plain,( 0.94/1.13 ( ! [X0:$int] : ($less(X0,0) | ~$less(X0,size1(sK3)) | $less($sum($product(sK4,size1(sK3)),X0),$product(size1(sK3),size1(sK3))) | $less(size1(sK3),0)) ) | (~spl17_14 | ~spl17_17)), 0.94/1.13 inference(subsumption_resolution,[],[f616,f256])). 0.94/1.13 tff(f620,plain,( 0.94/1.13 ( ! [X0:$int] : (~$less(X0,size1(sK3)) | $less(X0,0) | $less($sum($product(sK4,size1(sK3)),X0),$product(size1(sK3),size1(sK3)))) ) | (~spl17_14 | ~spl17_17 | ~spl17_35)), 0.94/1.13 inference(subsumption_resolution,[],[f619,f338])). 0.94/1.13 tff(f639,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),size1(sK3)) | $less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),0) | ~spl17_62), 0.94/1.13 inference(resolution,[],[f557,f119])). 0.94/1.13 tff(f640,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),0) | $less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),0) | ~spl17_62), 0.94/1.13 inference(resolution,[],[f557,f121])). 0.94/1.13 tff(f643,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),size1(sK3)) | (~spl17_62 | ~spl17_65)), 0.94/1.13 inference(subsumption_resolution,[],[f639,f565])). 0.94/1.13 tff(f648,plain,( 0.94/1.13 spl17_70 <=> $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),size1(sK3))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_70])])). 0.94/1.13 tff(f649,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),size1(sK3)) | ~spl17_70), 0.94/1.13 inference(AVATAR_component_clause,[],[f648])). 0.94/1.13 tff(f650,plain,( 0.94/1.13 spl17_70 | ~spl17_62 | spl17_65), 0.94/1.13 inference(AVATAR_split_clause,[],[f643,f564,f556,f648])). 0.94/1.13 tff(f651,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),0) | (~spl17_62 | ~spl17_65)), 0.94/1.13 inference(subsumption_resolution,[],[f640,f565])). 0.94/1.13 tff(f656,plain,( 0.94/1.13 spl17_73 <=> ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_73])])). 0.94/1.13 tff(f657,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),0) | ~spl17_73), 0.94/1.13 inference(AVATAR_component_clause,[],[f656])). 0.94/1.13 tff(f658,plain,( 0.94/1.13 ~spl17_73 | ~spl17_62 | spl17_65), 0.94/1.13 inference(AVATAR_split_clause,[],[f651,f564,f556,f656])). 0.94/1.13 tff(f679,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))),size1(sK3)) | $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),0) | ~spl17_70), 0.94/1.13 inference(resolution,[],[f649,f119])). 0.94/1.13 tff(f680,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))),0) | $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),0) | ~spl17_70), 0.94/1.13 inference(resolution,[],[f649,f121])). 0.94/1.13 tff(f683,plain,( 0.94/1.13 $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))),size1(sK3)) | (~spl17_70 | ~spl17_73)), 0.94/1.13 inference(subsumption_resolution,[],[f679,f657])). 0.94/1.13 tff(f688,plain,( 0.94/1.13 spl17_74 <=> $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))),size1(sK3))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_74])])). 0.94/1.13 tff(f690,plain,( 0.94/1.13 spl17_74 | ~spl17_70 | spl17_73), 0.94/1.13 inference(AVATAR_split_clause,[],[f683,f656,f648,f688])). 0.94/1.13 tff(f691,plain,( 0.94/1.13 ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))),0) | (~spl17_70 | ~spl17_73)), 0.94/1.13 inference(subsumption_resolution,[],[f680,f657])). 0.94/1.13 tff(f696,plain,( 0.94/1.13 spl17_77 <=> ~$less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_77])])). 0.94/1.13 tff(f698,plain,( 0.94/1.13 ~spl17_77 | ~spl17_70 | spl17_73), 0.94/1.13 inference(AVATAR_split_clause,[],[f691,f656,f648,f696])). 0.94/1.13 tff(f720,plain,( 0.94/1.13 ( ! [X1:$int] : (sK6(sK3,X1) = X1 | ~$less(X1,size1(sK3)) | $less(X1,0) | ~$less(X1,size1(sK3)) | $less(X1,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(resolution,[],[f465,f120])). 0.94/1.13 tff(f723,plain,( 0.94/1.13 ( ! [X1:$int] : (~$less(X1,size1(sK3)) | sK6(sK3,X1) = X1 | $less(X1,0)) ) | (~spl17_18 | ~spl17_30)), 0.94/1.13 inference(duplicate_literal_removal,[],[f720])). 0.94/1.13 tff(f733,plain,( 0.94/1.13 sK4 = sK6(sK3,sK4) | $less(sK4,0) | (~spl17_14 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(resolution,[],[f723,f249])). 0.94/1.13 tff(f734,plain,( 0.94/1.13 sK6(sK3,sK4) = sK6(sK3,sK6(sK3,sK4)) | $less(sK6(sK3,sK4),0) | (~spl17_18 | ~spl17_30 | ~spl17_42)), 0.94/1.13 inference(resolution,[],[f723,f438])). 0.94/1.13 tff(f735,plain,( 0.94/1.13 sK6(sK3,sK6(sK3,sK4)) = sK6(sK3,sK6(sK3,sK6(sK3,sK4))) | $less(sK6(sK3,sK6(sK3,sK4)),0) | (~spl17_18 | ~spl17_30 | ~spl17_58)), 0.94/1.13 inference(resolution,[],[f723,f520])). 0.94/1.13 tff(f736,plain,( 0.94/1.13 sK6(sK3,sK6(sK3,sK6(sK3,sK4))) = sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))) | $less(sK6(sK3,sK6(sK3,sK6(sK3,sK4))),0) | (~spl17_18 | ~spl17_30 | ~spl17_62)), 0.94/1.13 inference(resolution,[],[f723,f557])). 0.94/1.13 tff(f737,plain,( 0.94/1.13 sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))) = sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))) | $less(sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))),0) | (~spl17_18 | ~spl17_30 | ~spl17_70)), 0.94/1.13 inference(resolution,[],[f723,f649])). 0.94/1.13 tff(f738,plain,( 0.94/1.13 sK4 = sK6(sK3,sK4) | (~spl17_14 | ~spl17_17 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(subsumption_resolution,[],[f733,f256])). 0.94/1.13 tff(f743,plain,( 0.94/1.13 spl17_78 <=> sK4 = sK6(sK3,sK4)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_78])])). 0.94/1.13 tff(f745,plain,( 0.94/1.13 spl17_78 | ~spl17_14 | spl17_17 | ~spl17_18 | ~spl17_30), 0.94/1.13 inference(AVATAR_split_clause,[],[f738,f313,f262,f255,f248,f743])). 0.94/1.13 tff(f746,plain,( 0.94/1.13 sK6(sK3,sK4) = sK6(sK3,sK6(sK3,sK4)) | (~spl17_18 | ~spl17_30 | ~spl17_41 | ~spl17_42)), 0.94/1.13 inference(subsumption_resolution,[],[f734,f426])). 0.94/1.13 tff(f751,plain,( 0.94/1.13 spl17_80 <=> sK6(sK3,sK4) = sK6(sK3,sK6(sK3,sK4))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_80])])). 0.94/1.13 tff(f753,plain,( 0.94/1.13 spl17_80 | ~spl17_18 | ~spl17_30 | spl17_41 | ~spl17_42), 0.94/1.13 inference(AVATAR_split_clause,[],[f746,f437,f425,f313,f262,f751])). 0.94/1.13 tff(f754,plain,( 0.94/1.13 sK6(sK3,sK6(sK3,sK4)) = sK6(sK3,sK6(sK3,sK6(sK3,sK4))) | (~spl17_18 | ~spl17_30 | ~spl17_58 | ~spl17_61)), 0.94/1.13 inference(subsumption_resolution,[],[f735,f528])). 0.94/1.13 tff(f759,plain,( 0.94/1.13 spl17_82 <=> sK6(sK3,sK6(sK3,sK4)) = sK6(sK3,sK6(sK3,sK6(sK3,sK4)))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_82])])). 0.94/1.13 tff(f761,plain,( 0.94/1.13 spl17_82 | ~spl17_18 | ~spl17_30 | ~spl17_58 | spl17_61), 0.94/1.13 inference(AVATAR_split_clause,[],[f754,f527,f519,f313,f262,f759])). 0.94/1.13 tff(f762,plain,( 0.94/1.13 sK6(sK3,sK6(sK3,sK6(sK3,sK4))) = sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))) | (~spl17_18 | ~spl17_30 | ~spl17_62 | ~spl17_65)), 0.94/1.13 inference(subsumption_resolution,[],[f736,f565])). 0.94/1.13 tff(f767,plain,( 0.94/1.13 spl17_84 <=> sK6(sK3,sK6(sK3,sK6(sK3,sK4))) = sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_84])])). 0.94/1.13 tff(f769,plain,( 0.94/1.13 spl17_84 | ~spl17_18 | ~spl17_30 | ~spl17_62 | spl17_65), 0.94/1.13 inference(AVATAR_split_clause,[],[f762,f564,f556,f313,f262,f767])). 0.94/1.13 tff(f770,plain,( 0.94/1.13 sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))) = sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4))))) | (~spl17_18 | ~spl17_30 | ~spl17_70 | ~spl17_73)), 0.94/1.13 inference(subsumption_resolution,[],[f737,f657])). 0.94/1.13 tff(f775,plain,( 0.94/1.13 spl17_86 <=> sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))) = sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK6(sK3,sK4)))))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_86])])). 0.94/1.13 tff(f777,plain,( 0.94/1.13 spl17_86 | ~spl17_18 | ~spl17_30 | ~spl17_70 | spl17_73), 0.94/1.13 inference(AVATAR_split_clause,[],[f770,f656,f648,f313,f262,f775])). 0.94/1.13 tff(f813,plain,( 0.94/1.13 $less(sK4,0) | ~$less($sum($product(sK4,size1(sK3)),sK4),0) | (~spl17_14 | ~spl17_17 | ~spl17_35)), 0.94/1.13 inference(resolution,[],[f504,f249])). 0.94/1.13 tff(f814,plain,( 0.94/1.13 ~$less($sum($product(sK4,size1(sK3)),sK4),0) | (~spl17_14 | ~spl17_17 | ~spl17_35)), 0.94/1.13 inference(subsumption_resolution,[],[f813,f256])). 0.94/1.13 tff(f819,plain,( 0.94/1.13 spl17_89 <=> ~$less($sum($product(sK4,size1(sK3)),sK4),0)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_89])])). 0.94/1.13 tff(f821,plain,( 0.94/1.13 ~spl17_89 | ~spl17_14 | spl17_17 | spl17_35), 0.94/1.13 inference(AVATAR_split_clause,[],[f814,f337,f255,f248,f819])). 0.94/1.13 tff(f857,plain,( 0.94/1.13 ( ! [X0:uf_pure1,X1:$int] : (same1(X0,X1,X1) | ~repr1(X0,X1,sK16(X0,X1,X1)) | same1(X0,X1,X1)) )), 0.94/1.13 inference(resolution,[],[f456,f191])). 0.94/1.13 tff(f860,plain,( 0.94/1.13 ( ! [X0:uf_pure1,X1:$int] : (same1(X0,X1,X1) | ~repr1(X0,X1,sK16(X0,X1,X1))) )), 0.94/1.13 inference(duplicate_literal_removal,[],[f857])). 0.94/1.13 tff(f861,plain,( 0.94/1.13 ( ! [X0:uf_pure1,X1:$int] : (same1(X0,X1,X1)) )), 0.94/1.13 inference(subsumption_resolution,[],[f860,f456])). 0.94/1.13 tff(f862,plain,( 0.94/1.13 $less(sK4,0) | $less($sum($product(sK4,size1(sK3)),sK4),$product(size1(sK3),size1(sK3))) | (~spl17_14 | ~spl17_17 | ~spl17_35)), 0.94/1.13 inference(resolution,[],[f620,f249])). 0.94/1.13 tff(f863,plain,( 0.94/1.13 $less($sum($product(sK4,size1(sK3)),sK4),$product(size1(sK3),size1(sK3))) | (~spl17_14 | ~spl17_17 | ~spl17_35)), 0.94/1.13 inference(subsumption_resolution,[],[f862,f256])). 0.94/1.13 tff(f868,plain,( 0.94/1.13 spl17_90 <=> $less($sum($product(sK4,size1(sK3)),sK4),$product(size1(sK3),size1(sK3)))), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_90])])). 0.94/1.13 tff(f870,plain,( 0.94/1.13 spl17_90 | ~spl17_14 | spl17_17 | spl17_35), 0.94/1.13 inference(AVATAR_split_clause,[],[f863,f337,f255,f248,f868])). 0.94/1.13 tff(f893,plain,( 0.94/1.13 $false | ~spl17_39), 0.94/1.13 inference(resolution,[],[f861,f362])). 0.94/1.13 tff(f900,plain,( 0.94/1.13 spl17_39), 0.94/1.13 inference(AVATAR_contradiction_clause,[],[f893,f361])). 0.94/1.13 tff(f902,plain,( 0.94/1.13 ~path1(sK2,sK4,sK4) | (~spl17_5 | ~spl17_36)), 0.94/1.13 inference(forward_demodulation,[],[f213,f351])). 0.94/1.13 tff(f903,plain,( 0.94/1.13 $false | (~spl17_5 | ~spl17_36)), 0.94/1.13 inference(subsumption_resolution,[],[f902,f195])). 0.94/1.13 tff(f904,plain,( 0.94/1.13 spl17_5 | ~spl17_36), 0.94/1.13 inference(AVATAR_contradiction_clause,[],[f903,f350,f212])). 0.94/1.13 tff(f905,plain,( 0.94/1.13 ~$less(sK4,size1(sK3)) | repr1(sK3,sK4,sK5) | ~$less(sK5,size1(sK3)) | $less(sK5,0) | $less(sK4,0) | (~spl17_6 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(resolution,[],[f216,f331])). 0.94/1.13 tff(f906,plain,( 0.94/1.13 ~$less(sK4,size1(sK3)) | sK4 = sK5 | ~$less(sK5,size1(sK3)) | $less(sK5,0) | $less(sK4,0) | (~spl17_6 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(resolution,[],[f216,f330])). 0.94/1.13 tff(f909,plain,( 0.94/1.13 repr1(sK3,sK4,sK5) | ~$less(sK5,size1(sK3)) | $less(sK5,0) | $less(sK4,0) | (~spl17_6 | ~spl17_14 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(subsumption_resolution,[],[f905,f249])). 0.94/1.13 tff(f910,plain,( 0.94/1.13 repr1(sK3,sK4,sK5) | $less(sK5,0) | $less(sK4,0) | (~spl17_6 | ~spl17_10 | ~spl17_14 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(subsumption_resolution,[],[f909,f234])). 0.94/1.13 tff(f911,plain,( 0.94/1.13 repr1(sK3,sK4,sK5) | $less(sK4,0) | (~spl17_6 | ~spl17_10 | ~spl17_13 | ~spl17_14 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(subsumption_resolution,[],[f910,f241])). 0.94/1.13 tff(f912,plain,( 0.94/1.13 repr1(sK3,sK4,sK5) | (~spl17_6 | ~spl17_10 | ~spl17_13 | ~spl17_14 | ~spl17_17 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(subsumption_resolution,[],[f911,f256])). 0.94/1.13 tff(f917,plain,( 0.94/1.13 spl17_92 <=> repr1(sK3,sK4,sK5)), 0.94/1.13 introduced(AVATAR_definition,[new_symbols(naming,[spl17_92])])). 0.94/1.13 tff(f919,plain,( 0.94/1.13 spl17_92 | ~spl17_6 | ~spl17_10 | spl17_13 | ~spl17_14 | spl17_17 | ~spl17_18 | ~spl17_30), 0.94/1.13 inference(AVATAR_split_clause,[],[f912,f313,f262,f255,f248,f240,f233,f215,f917])). 0.94/1.13 tff(f920,plain,( 0.94/1.13 sK4 = sK5 | ~$less(sK5,size1(sK3)) | $less(sK5,0) | $less(sK4,0) | (~spl17_6 | ~spl17_14 | ~spl17_18 | ~spl17_30)), 0.94/1.13 inference(subsumption_resolution,[],[f906,f249])). 0.94/1.13 tff(f921,plain,( 0.94/1.13 ~$less(sK5,size1(sK3)) | $less(sK5,0) | $less(sK4,0) | (~spl17_6 | ~spl17_14 | ~spl17_18 | ~spl17_30 | ~spl17_37)), 0.94/1.13 inference(subsumption_resolution,[],[f920,f348])). 0.94/1.13 tff(f922,plain,( 0.94/1.13 $less(sK5,0) | $less(sK4,0) | (~spl17_6 | ~spl17_10 | ~spl17_14 | ~spl17_18 | ~spl17_30 | ~spl17_37)), 0.94/1.13 inference(subsumption_resolution,[],[f921,f234])). 0.94/1.13 tff(f923,plain,( 0.94/1.13 $less(sK4,0) | (~spl17_6 | ~spl17_10 | ~spl17_13 | ~spl17_14 | ~spl17_18 | ~spl17_30 | ~spl17_37)), 0.94/1.13 inference(subsumption_resolution,[],[f922,f241])). 0.94/1.13 tff(f924,plain,( 0.94/1.13 $false | (~spl17_6 | ~spl17_10 | ~spl17_13 | ~spl17_14 | ~spl17_17 | ~spl17_18 | ~spl17_30 | ~spl17_37)), 0.94/1.13 inference(subsumption_resolution,[],[f923,f256])). 0.94/1.13 tff(f925,plain,( 0.94/1.13 ~spl17_6 | ~spl17_10 | spl17_13 | ~spl17_14 | spl17_17 | ~spl17_18 | ~spl17_30 | spl17_37), 0.94/1.13 inference(AVATAR_contradiction_clause,[],[f924,f347,f313,f262,f255,f248,f240,f233,f215])). 0.94/1.13 tff(f926,plain,( 0.94/1.13 $false), 0.94/1.13 inference(AVATAR_sat_refutation,[],[f226,f227,f235,f242,f250,f257,f264,f265,f272,f279,f286,f293,f307,f315,f318,f329,f339,f352,f363,f427,f439,f451,f455,f482,f494,f500,f521,f529,f558,f566,f590,f650,f658,f690,f698,f745,f753,f761,f769,f777,f821,f870,f900,f904,f919,f925])). 0.94/1.13 % SZS output end Proof for theBenchmark 0.94/1.13 % ------------------------------ 0.94/1.13 % Version: Vampire 4.1 for CASC J8 Entry 0.94/1.13 % Termination reason: Refutation 0.94/1.13 0.94/1.13 % Memory used [KB]: 1279 0.94/1.13 % Time elapsed: 0.064 s 0.94/1.13 % ------------------------------ 0.94/1.13 % ------------------------------ 0.94/1.13 % Success in time 0.898 s 0.94/1.13 EOF