0.08/1.07 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/1.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 8 -t %s %d 0.12/1.55 % Computer : n025.cluster.edu 0.12/1.55 % Model : x86_64 x86_64 0.12/1.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/1.55 % Memory : 8042.1875MB 0.12/1.55 % OS : Linux 3.10.0-693.el7.x86_64 0.12/1.55 % CPULimit : 960 0.12/1.55 % WCLimit : 120 0.12/1.55 % DateTime : Tue Aug 9 02:19:27 EDT 2022 0.12/1.57 % CPUTime : 0.14/1.65 % (19866)lrs+10_1:1_ep=R:newcnf=on:sd=2:ss=axioms:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/2Mi) 0.14/1.66 % (19866)Instruction limit reached! 0.14/1.66 % (19866)------------------------------ 0.14/1.66 % (19866)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/1.66 % (19866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/1.66 % (19866)Termination reason: Unknown 0.14/1.66 % (19866)Termination phase: Property scanning 0.14/1.66 0.14/1.66 % (19866)Memory used [KB]: 895 0.14/1.66 % (19866)Time elapsed: 0.004 s 0.14/1.66 % (19866)Instructions burned: 2 (million) 0.14/1.66 % (19866)------------------------------ 0.14/1.66 % (19866)------------------------------ 0.14/1.66 % (19863)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59608:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/59608Mi) 0.14/1.66 % (19865)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/9Mi) 0.14/1.68 % (19867)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/15Mi) 0.14/1.68 % (19869)ott+0_1:1_av=off:bce=on:bsr=unit_only:ep=R:sos=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/2Mi) 0.14/1.68 % (19869)Instruction limit reached! 0.14/1.68 % (19869)------------------------------ 0.14/1.68 % (19869)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/1.68 % (19865)Instruction limit reached! 0.14/1.68 % (19865)------------------------------ 0.14/1.68 % (19865)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/1.68 % (19869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/1.68 % (19869)Termination reason: Unknown 0.14/1.68 % (19869)Termination phase: Saturation 0.14/1.68 0.14/1.68 % (19869)Memory used [KB]: 1023 0.14/1.68 % (19869)Time elapsed: 0.002 s 0.14/1.68 % (19869)Instructions burned: 3 (million) 0.14/1.68 % (19869)------------------------------ 0.14/1.68 % (19869)------------------------------ 0.14/1.68 % (19865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/1.68 % (19865)Termination reason: Unknown 0.14/1.68 % (19865)Termination phase: Saturation 0.14/1.68 0.14/1.68 % (19865)Memory used [KB]: 5628 0.14/1.68 % (19865)Time elapsed: 0.062 s 0.14/1.68 % (19865)Instructions burned: 9 (million) 0.14/1.68 % (19865)------------------------------ 0.14/1.68 % (19865)------------------------------ 0.37/1.69 % (19870)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/28Mi) 0.37/1.69 % (19868)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/24Mi) 0.37/1.70 % (19867)Instruction limit reached! 0.37/1.70 % (19867)------------------------------ 0.37/1.70 % (19867)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.37/1.70 % (19867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.37/1.70 % (19867)Termination reason: Unknown 0.37/1.70 % (19867)Termination phase: Saturation 0.37/1.70 0.37/1.70 % (19867)Memory used [KB]: 5628 0.37/1.70 % (19867)Time elapsed: 0.065 s 0.37/1.70 % (19867)Instructions burned: 16 (million) 0.37/1.70 % (19867)------------------------------ 0.37/1.70 % (19867)------------------------------ 0.37/1.71 % (19864)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/41Mi) 0.37/1.72 % (19870)Instruction limit reached! 0.37/1.72 % (19870)------------------------------ 0.37/1.72 % (19870)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.37/1.72 % (19868)Instruction limit reached! 0.37/1.72 % (19868)------------------------------ 0.37/1.72 % (19868)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.37/1.73 % (19870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.37/1.73 % (19870)Termination reason: Unknown 0.37/1.73 % (19870)Termination phase: Saturation 0.37/1.73 0.37/1.73 % (19870)Memory used [KB]: 5756 0.37/1.73 % (19870)Time elapsed: 0.102 s 0.37/1.73 % (19870)Instructions burned: 29 (million) 0.37/1.73 % (19870)------------------------------ 0.37/1.73 % (19870)------------------------------ 0.37/1.74 % (19868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.37/1.74 % (19868)Termination reason: Unknown 0.37/1.74 % (19868)Termination phase: Saturation 0.37/1.74 0.37/1.74 % (19868)Memory used [KB]: 5884 0.37/1.74 % (19868)Time elapsed: 0.088 s 0.37/1.74 % (19868)Instructions burned: 25 (million) 0.37/1.74 % (19868)------------------------------ 0.37/1.74 % (19868)------------------------------ 0.37/1.74 % (19871)lrs+10_1:1_flr=on:nm=2:sos=on:spb=goal:ss=axioms:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/36Mi) 0.37/1.75 % (19872)lrs+10_1:1_av=off:drc=off:newcnf=on:sd=1:sos=on:ss=axioms:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.37/1.75 % (19864)Refutation not found, non-redundant clauses discarded% (19864)------------------------------ 0.37/1.75 % (19864)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.37/1.75 % (19864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.37/1.75 % (19864)Termination reason: Refutation not found, non-redundant clauses discarded 0.37/1.75 0.37/1.75 % (19864)Memory used [KB]: 5756 0.37/1.75 % (19864)Time elapsed: 0.127 s 0.37/1.75 % (19864)Instructions burned: 39 (million) 0.37/1.75 % (19864)------------------------------ 0.37/1.75 % (19864)------------------------------ 0.37/1.75 % (19872)Instruction limit reached! 0.37/1.75 % (19872)------------------------------ 0.37/1.75 % (19872)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.37/1.75 % (19872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.37/1.75 % (19872)Termination reason: Unknown 0.37/1.75 % (19872)Termination phase: Saturation 0.37/1.75 0.37/1.75 % (19872)Memory used [KB]: 1023 0.37/1.75 % (19872)Time elapsed: 0.003 s 0.37/1.75 % (19872)Instructions burned: 3 (million) 0.37/1.75 % (19872)------------------------------ 0.37/1.75 % (19872)------------------------------ 0.57/1.77 % (19871)Instruction limit reached! 0.57/1.77 % (19871)------------------------------ 0.57/1.77 % (19871)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.57/1.77 % (19871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.57/1.77 % (19871)Termination reason: Unknown 0.57/1.77 % (19871)Termination phase: Saturation 0.57/1.77 0.57/1.77 % (19871)Memory used [KB]: 5884 0.57/1.77 % (19871)Time elapsed: 0.059 s 0.57/1.77 % (19871)Instructions burned: 36 (million) 0.57/1.77 % (19871)------------------------------ 0.57/1.77 % (19871)------------------------------ 0.57/1.78 % (19863)First to succeed. 0.59/1.79 % (19863)Refutation found. Thanks to Tanya! 0.59/1.79 % SZS status Theorem for theBenchmark 0.59/1.79 % SZS output start Proof for theBenchmark 0.59/1.79 tff(func_def_0, type, u: $real). 0.59/1.79 tff(func_def_1, type, v: $real). 0.59/1.79 tff(func_def_2, type, w: $real). 0.59/1.79 tff(func_def_3, type, x: $real). 0.59/1.79 tff(func_def_4, type, y: $real). 0.59/1.79 tff(func_def_5, type, s: $real). 0.59/1.79 tff(func_def_6, type, f: ($real) > $real). 0.59/1.79 tff(func_def_15, type, sF0: $real). 0.59/1.79 tff(func_def_16, type, sF1: $real). 0.59/1.79 tff(func_def_17, type, sF2: $real). 0.59/1.79 tff(func_def_18, type, sF3: $real). 0.59/1.79 tff(func_def_19, type, sF4: $real). 0.59/1.79 tff(f573,plain,( 0.59/1.79 $false), 0.59/1.79 inference(avatar_smt_refutation,[],[f51,f55,f59,f63,f67,f71,f75,f79,f83,f87,f95,f117,f126,f137,f155,f161,f162,f218,f225,f317,f346,f360,f400,f401,f448,f470,f475,f481,f492,f512,f519,f529,f535,f549,f554,f570,f572])). 0.59/1.79 tff(f572,plain,( 0.59/1.79 ~spl5_20 | ~spl5_34), 0.59/1.79 inference(avatar_contradiction_clause,[],[f571])). 0.59/1.79 tff(f571,plain,( 0.59/1.79 $false | (~spl5_20 | ~spl5_34)), 0.59/1.79 inference(subsumption_resolution,[],[f563,f18])). 0.59/1.79 tff(f18,plain,( 0.59/1.79 ( ! [X0 : $real] : (~$less(X0,X0)) )), 0.59/1.79 introduced(theory_axiom_147,[])). 0.59/1.79 tff(f563,plain,( 0.59/1.79 $less(sF1,sF1) | (~spl5_20 | ~spl5_34)), 0.59/1.79 inference(backward_demodulation,[],[f313,f555])). 0.59/1.79 tff(f555,plain,( 0.59/1.79 sF3 = sF1 | ~spl5_34), 0.59/1.79 inference(superposition,[],[f553,f96])). 0.59/1.79 tff(f96,plain,( 0.59/1.79 ( ! [X0 : $real] : ($sum(0.0,X0) = X0) )), 0.59/1.79 inference(superposition,[],[f13,f15])). 0.59/1.79 tff(f15,plain,( 0.59/1.79 ( ! [X0 : $real] : ($sum(X0,0.0) = X0) )), 0.59/1.79 introduced(theory_axiom_142,[])). 0.59/1.79 tff(f13,plain,( 0.59/1.79 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.59/1.79 introduced(theory_axiom_140,[])). 0.59/1.79 tff(f553,plain,( 0.59/1.79 $sum(0.0,sF3) = sF1 | ~spl5_34), 0.59/1.79 inference(avatar_component_clause,[],[f552])). 0.59/1.79 tff(f552,plain,( 0.59/1.79 spl5_34 <=> $sum(0.0,sF3) = sF1), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_34])])). 0.59/1.79 tff(f313,plain,( 0.59/1.79 $less(sF3,sF1) | ~spl5_20), 0.59/1.79 inference(avatar_component_clause,[],[f312])). 0.59/1.79 tff(f312,plain,( 0.59/1.79 spl5_20 <=> $less(sF3,sF1)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_20])])). 0.59/1.79 tff(f570,plain,( 0.59/1.79 spl5_35 | ~spl5_34), 0.59/1.79 inference(avatar_split_clause,[],[f555,f552,f568])). 0.59/1.79 tff(f568,plain,( 0.59/1.79 spl5_35 <=> sF3 = sF1), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_35])])). 0.59/1.79 tff(f554,plain,( 0.59/1.79 spl5_34 | ~spl5_9 | ~spl5_15 | ~spl5_29), 0.59/1.79 inference(avatar_split_clause,[],[f536,f514,f159,f81,f552])). 0.59/1.79 tff(f81,plain,( 0.59/1.79 spl5_9 <=> $product(v,v) = sF2), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_9])])). 0.59/1.79 tff(f159,plain,( 0.59/1.79 spl5_15 <=> $sum(sF2,sF3) = sF1), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_15])])). 0.59/1.79 tff(f514,plain,( 0.59/1.79 spl5_29 <=> v = 0.0), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_29])])). 0.59/1.79 tff(f536,plain,( 0.59/1.79 $sum(0.0,sF3) = sF1 | (~spl5_9 | ~spl5_15 | ~spl5_29)), 0.59/1.79 inference(backward_demodulation,[],[f160,f524])). 0.59/1.79 tff(f524,plain,( 0.59/1.79 0.0 = sF2 | (~spl5_9 | ~spl5_29)), 0.59/1.79 inference(evaluation,[],[f522])). 0.59/1.79 tff(f522,plain,( 0.59/1.79 $product(0.0,0.0) = sF2 | (~spl5_9 | ~spl5_29)), 0.59/1.79 inference(backward_demodulation,[],[f82,f515])). 0.59/1.79 tff(f515,plain,( 0.59/1.79 v = 0.0 | ~spl5_29), 0.59/1.79 inference(avatar_component_clause,[],[f514])). 0.59/1.79 tff(f82,plain,( 0.59/1.79 $product(v,v) = sF2 | ~spl5_9), 0.59/1.79 inference(avatar_component_clause,[],[f81])). 0.59/1.79 tff(f160,plain,( 0.59/1.79 $sum(sF2,sF3) = sF1 | ~spl5_15), 0.59/1.79 inference(avatar_component_clause,[],[f159])). 0.59/1.79 tff(f549,plain,( 0.59/1.79 spl5_33 | ~spl5_9 | ~spl5_29), 0.59/1.79 inference(avatar_split_clause,[],[f524,f514,f81,f547])). 0.59/1.79 tff(f547,plain,( 0.59/1.79 spl5_33 <=> 0.0 = sF2), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_33])])). 0.59/1.79 tff(f535,plain,( 0.59/1.79 spl5_32 | ~spl5_23 | ~spl5_31), 0.59/1.79 inference(avatar_split_clause,[],[f530,f527,f355,f533])). 0.59/1.79 tff(f533,plain,( 0.59/1.79 spl5_32 <=> $less(u,sF1)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_32])])). 0.59/1.79 tff(f355,plain,( 0.59/1.79 spl5_23 <=> $less(0.0,sF1)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_23])])). 0.59/1.79 tff(f527,plain,( 0.59/1.79 spl5_31 <=> $less(u,0.0)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_31])])). 0.59/1.79 tff(f530,plain,( 0.59/1.79 $less(u,sF1) | (~spl5_23 | ~spl5_31)), 0.59/1.79 inference(resolution,[],[f528,f361])). 0.59/1.79 tff(f361,plain,( 0.59/1.79 ( ! [X0 : $real] : (~$less(X0,0.0) | $less(X0,sF1)) ) | ~spl5_23), 0.59/1.79 inference(resolution,[],[f356,f19])). 0.59/1.79 tff(f19,plain,( 0.59/1.79 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X1,X2) | $less(X0,X2) | ~$less(X0,X1)) )), 0.59/1.79 introduced(theory_axiom_148,[])). 0.59/1.79 tff(f356,plain,( 0.59/1.79 $less(0.0,sF1) | ~spl5_23), 0.59/1.79 inference(avatar_component_clause,[],[f355])). 0.59/1.79 tff(f528,plain,( 0.59/1.79 $less(u,0.0) | ~spl5_31), 0.59/1.79 inference(avatar_component_clause,[],[f527])). 0.59/1.79 tff(f529,plain,( 0.59/1.79 spl5_31 | ~spl5_3 | ~spl5_29), 0.59/1.79 inference(avatar_split_clause,[],[f523,f514,f57,f527])). 0.59/1.79 tff(f57,plain,( 0.59/1.79 spl5_3 <=> $less(u,v)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_3])])). 0.59/1.79 tff(f523,plain,( 0.59/1.79 $less(u,0.0) | (~spl5_3 | ~spl5_29)), 0.59/1.79 inference(backward_demodulation,[],[f58,f515])). 0.59/1.79 tff(f58,plain,( 0.59/1.79 $less(u,v) | ~spl5_3), 0.59/1.79 inference(avatar_component_clause,[],[f57])). 0.59/1.79 tff(f519,plain,( 0.59/1.79 spl5_29 | spl5_30 | ~spl5_9), 0.59/1.79 inference(avatar_split_clause,[],[f205,f81,f517,f514])). 0.59/1.79 tff(f517,plain,( 0.59/1.79 spl5_30 <=> v = $quotient(sF2,v)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_30])])). 0.59/1.79 tff(f205,plain,( 0.59/1.79 v = $quotient(sF2,v) | v = 0.0 | ~spl5_9), 0.59/1.79 inference(superposition,[],[f31,f82])). 0.59/1.79 tff(f31,plain,( 0.59/1.79 ( ! [X2 : $real,X1 : $real] : ($quotient($product(X2,X1),X1) = X2 | 0.0 = X1) )), 0.59/1.79 introduced(theory_axiom_165,[])). 0.59/1.79 tff(f512,plain,( 0.59/1.79 ~spl5_28 | ~spl5_8 | spl5_19), 0.59/1.79 inference(avatar_split_clause,[],[f501,f223,f77,f510])). 0.59/1.79 tff(f510,plain,( 0.59/1.79 spl5_28 <=> $less(sF0,$uminus(u))), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_28])])). 0.59/1.79 tff(f77,plain,( 0.59/1.79 spl5_8 <=> sF1 = $sum(sF0,u)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_8])])). 0.59/1.79 tff(f223,plain,( 0.59/1.79 spl5_19 <=> $less(sF1,0.0)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_19])])). 0.59/1.79 tff(f501,plain,( 0.59/1.79 ~$less(sF0,$uminus(u)) | (~spl5_8 | spl5_19)), 0.59/1.79 inference(subsumption_resolution,[],[f499,f491])). 0.59/1.79 tff(f491,plain,( 0.59/1.79 ~$less(sF1,0.0) | spl5_19), 0.59/1.79 inference(avatar_component_clause,[],[f223])). 0.59/1.79 tff(f499,plain,( 0.59/1.79 ~$less(sF0,$uminus(u)) | $less(sF1,0.0) | ~spl5_8), 0.59/1.79 inference(superposition,[],[f188,f88])). 0.59/1.79 tff(f88,plain,( 0.59/1.79 ( ! [X0 : $real] : (0.0 = $sum($uminus(X0),X0)) )), 0.59/1.79 inference(superposition,[],[f17,f23])). 0.59/1.79 tff(f23,plain,( 0.59/1.79 ( ! [X0 : $real] : ($uminus($uminus(X0)) = X0) )), 0.59/1.79 introduced(theory_axiom_153,[])). 0.59/1.79 tff(f17,plain,( 0.59/1.79 ( ! [X0 : $real] : ($sum(X0,$uminus(X0)) = 0.0) )), 0.59/1.79 introduced(theory_axiom_145,[])). 0.59/1.79 tff(f188,plain,( 0.59/1.79 ( ! [X17 : $real] : ($less(sF1,$sum(X17,u)) | ~$less(sF0,X17)) ) | ~spl5_8), 0.59/1.79 inference(superposition,[],[f21,f78])). 0.59/1.79 tff(f78,plain,( 0.59/1.79 sF1 = $sum(sF0,u) | ~spl5_8), 0.59/1.79 inference(avatar_component_clause,[],[f77])). 0.59/1.79 tff(f21,plain,( 0.59/1.79 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )), 0.59/1.79 introduced(theory_axiom_150,[])). 0.59/1.79 tff(f492,plain,( 0.59/1.79 spl5_18 | ~spl5_19 | ~spl5_22), 0.59/1.79 inference(avatar_split_clause,[],[f458,f344,f223,f220])). 0.59/1.79 tff(f220,plain,( 0.59/1.79 spl5_18 <=> $less(sF2,$uminus(sF3))), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_18])])). 0.59/1.79 tff(f344,plain,( 0.59/1.79 spl5_22 <=> $sum(sF1,$uminus(sF3)) = sF2), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_22])])). 0.59/1.79 tff(f458,plain,( 0.59/1.79 ~$less(sF1,0.0) | $less(sF2,$uminus(sF3)) | ~spl5_22), 0.59/1.79 inference(superposition,[],[f352,f96])). 0.59/1.79 tff(f352,plain,( 0.59/1.79 ( ! [X2 : $real] : ($less(sF2,$sum(X2,$uminus(sF3))) | ~$less(sF1,X2)) ) | ~spl5_22), 0.59/1.79 inference(superposition,[],[f21,f345])). 0.59/1.79 tff(f345,plain,( 0.59/1.79 $sum(sF1,$uminus(sF3)) = sF2 | ~spl5_22), 0.59/1.79 inference(avatar_component_clause,[],[f344])). 0.59/1.79 tff(f481,plain,( 0.59/1.79 spl5_16 | ~spl5_17 | ~spl5_22), 0.59/1.79 inference(avatar_split_clause,[],[f454,f344,f216,f213])). 0.59/1.79 tff(f213,plain,( 0.59/1.79 spl5_16 <=> $less(sF2,0.0)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_16])])). 0.59/1.79 tff(f216,plain,( 0.59/1.79 spl5_17 <=> $less(sF1,sF3)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_17])])). 0.59/1.79 tff(f454,plain,( 0.59/1.79 ~$less(sF1,sF3) | $less(sF2,0.0) | ~spl5_22), 0.59/1.79 inference(superposition,[],[f352,f17])). 0.59/1.79 tff(f475,plain,( 0.59/1.79 ~spl5_27 | spl5_5 | ~spl5_6 | ~spl5_7), 0.59/1.79 inference(avatar_split_clause,[],[f474,f73,f69,f65,f468])). 0.59/1.79 tff(f468,plain,( 0.59/1.79 spl5_27 <=> $less(sF3,sF0)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_27])])). 0.59/1.79 tff(f65,plain,( 0.59/1.79 spl5_5 <=> $less(y,x)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_5])])). 0.59/1.79 tff(f69,plain,( 0.59/1.79 spl5_6 <=> f(x) = sF0), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_6])])). 0.59/1.79 tff(f73,plain,( 0.59/1.79 spl5_7 <=> f(y) = sF3), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_7])])). 0.59/1.79 tff(f474,plain,( 0.59/1.79 ~$less(sF3,sF0) | (spl5_5 | ~spl5_6 | ~spl5_7)), 0.59/1.79 inference(subsumption_resolution,[],[f473,f66])). 0.59/1.79 tff(f66,plain,( 0.59/1.79 ~$less(y,x) | spl5_5), 0.59/1.79 inference(avatar_component_clause,[],[f65])). 0.59/1.79 tff(f473,plain,( 0.59/1.79 ~$less(sF3,sF0) | $less(y,x) | (~spl5_6 | ~spl5_7)), 0.59/1.79 inference(superposition,[],[f135,f74])). 0.59/1.79 tff(f74,plain,( 0.59/1.79 f(y) = sF3 | ~spl5_7), 0.59/1.79 inference(avatar_component_clause,[],[f73])). 0.59/1.79 tff(f135,plain,( 0.59/1.79 ( ! [X0 : $real] : (~$less(f(X0),sF0) | $less(X0,x)) ) | ~spl5_6), 0.59/1.79 inference(superposition,[],[f37,f70])). 0.59/1.79 tff(f70,plain,( 0.59/1.79 f(x) = sF0 | ~spl5_6), 0.59/1.79 inference(avatar_component_clause,[],[f69])). 0.59/1.79 tff(f37,plain,( 0.59/1.79 ( ! [X0 : $real,X1 : $real] : (~$less(f(X0),f(X1)) | $less(X0,X1)) )), 0.59/1.79 inference(cnf_transformation,[],[f33])). 0.59/1.79 tff(f33,plain,( 0.59/1.79 ! [X0 : $real,X1 : $real] : (~$less(f(X0),f(X1)) | $less(X0,X1))), 0.59/1.79 inference(ennf_transformation,[],[f11])). 0.59/1.79 tff(f11,plain,( 0.59/1.79 ! [X0 : $real,X1 : $real] : (~$less(X0,X1) => ~$less(f(X0),f(X1)))), 0.59/1.79 inference(theory_normalization,[],[f7])). 0.59/1.79 tff(f7,axiom,( 0.59/1.79 ! [X0 : $real,X1 : $real] : ($greatereq(X0,X1) => $greatereq(f(X0),f(X1)))), 0.59/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_non_decreasing)). 0.59/1.79 tff(f470,plain,( 0.59/1.79 ~spl5_27 | spl5_5 | ~spl5_6 | ~spl5_7), 0.59/1.79 inference(avatar_split_clause,[],[f466,f73,f69,f65,f468])). 0.59/1.79 tff(f466,plain,( 0.59/1.79 ~$less(sF3,sF0) | (spl5_5 | ~spl5_6 | ~spl5_7)), 0.59/1.79 inference(subsumption_resolution,[],[f464,f66])). 0.59/1.79 tff(f464,plain,( 0.59/1.79 $less(y,x) | ~$less(sF3,sF0) | (~spl5_6 | ~spl5_7)), 0.59/1.79 inference(superposition,[],[f134,f70])). 0.59/1.79 tff(f134,plain,( 0.59/1.79 ( ! [X1 : $real] : (~$less(sF3,f(X1)) | $less(y,X1)) ) | ~spl5_7), 0.59/1.79 inference(superposition,[],[f37,f74])). 0.59/1.79 tff(f448,plain,( 0.59/1.79 spl5_25 | spl5_26 | spl5_5), 0.59/1.79 inference(avatar_split_clause,[],[f145,f65,f446,f443])). 0.59/1.79 tff(f443,plain,( 0.59/1.79 spl5_25 <=> $less(x,y)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_25])])). 0.59/1.79 tff(f446,plain,( 0.59/1.79 spl5_26 <=> x = y), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_26])])). 0.59/1.79 tff(f145,plain,( 0.59/1.79 x = y | $less(x,y) | spl5_5), 0.59/1.79 inference(resolution,[],[f20,f66])). 0.59/1.79 tff(f20,plain,( 0.59/1.79 ( ! [X0 : $real,X1 : $real] : ($less(X1,X0) | X0 = X1 | $less(X0,X1)) )), 0.59/1.79 introduced(theory_axiom_149,[])). 0.59/1.79 tff(f401,plain,( 0.59/1.79 ~spl5_18 | spl5_19 | ~spl5_15), 0.59/1.79 inference(avatar_split_clause,[],[f397,f159,f223,f220])). 0.59/1.79 tff(f397,plain,( 0.59/1.79 $less(sF1,0.0) | ~$less(sF2,$uminus(sF3)) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f207,f17])). 0.59/1.79 tff(f207,plain,( 0.59/1.79 ( ! [X0 : $real] : ($less(sF1,$sum(sF3,X0)) | ~$less(sF2,X0)) ) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f189,f13])). 0.59/1.79 tff(f189,plain,( 0.59/1.79 ( ! [X18 : $real] : ($less(sF1,$sum(X18,sF3)) | ~$less(sF2,X18)) ) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f21,f160])). 0.59/1.79 tff(f400,plain,( 0.59/1.79 ~spl5_16 | spl5_17 | ~spl5_15), 0.59/1.79 inference(avatar_split_clause,[],[f396,f159,f216,f213])). 0.59/1.79 tff(f396,plain,( 0.59/1.79 $less(sF1,sF3) | ~$less(sF2,0.0) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f207,f15])). 0.59/1.79 tff(f360,plain,( 0.59/1.79 spl5_23 | ~spl5_24 | ~spl5_15), 0.59/1.79 inference(avatar_split_clause,[],[f301,f159,f358,f355])). 0.59/1.79 tff(f358,plain,( 0.59/1.79 spl5_24 <=> $less($uminus(sF3),sF2)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_24])])). 0.59/1.79 tff(f301,plain,( 0.59/1.79 ~$less($uminus(sF3),sF2) | $less(0.0,sF1) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f198,f88])). 0.59/1.79 tff(f198,plain,( 0.59/1.79 ( ! [X18 : $real] : ($less($sum(X18,sF3),sF1) | ~$less(X18,sF2)) ) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f21,f160])). 0.59/1.79 tff(f346,plain,( 0.59/1.79 spl5_22 | ~spl5_15), 0.59/1.79 inference(avatar_split_clause,[],[f341,f159,f344])). 0.59/1.79 tff(f341,plain,( 0.59/1.79 $sum(sF1,$uminus(sF3)) = sF2 | ~spl5_15), 0.59/1.79 inference(forward_demodulation,[],[f333,f15])). 0.59/1.79 tff(f333,plain,( 0.59/1.79 $sum(sF1,$uminus(sF3)) = $sum(sF2,0.0) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f235,f17])). 0.59/1.79 tff(f235,plain,( 0.59/1.79 ( ! [X22 : $real] : ($sum(sF2,$sum(sF3,X22)) = $sum(sF1,X22)) ) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f14,f160])). 0.59/1.79 tff(f14,plain,( 0.59/1.79 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 0.59/1.79 introduced(theory_axiom_141,[])). 0.59/1.79 tff(f317,plain,( 0.59/1.79 spl5_20 | ~spl5_21 | ~spl5_15), 0.59/1.79 inference(avatar_split_clause,[],[f300,f159,f315,f312])). 0.59/1.79 tff(f315,plain,( 0.59/1.79 spl5_21 <=> $less(0.0,sF2)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_21])])). 0.59/1.79 tff(f300,plain,( 0.59/1.79 ~$less(0.0,sF2) | $less(sF3,sF1) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f198,f96])). 0.59/1.79 tff(f225,plain,( 0.59/1.79 ~spl5_18 | spl5_19 | ~spl5_15), 0.59/1.79 inference(avatar_split_clause,[],[f210,f159,f223,f220])). 0.59/1.79 tff(f210,plain,( 0.59/1.79 $less(sF1,0.0) | ~$less(sF2,$uminus(sF3)) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f189,f88])). 0.59/1.79 tff(f218,plain,( 0.59/1.79 ~spl5_16 | spl5_17 | ~spl5_15), 0.59/1.79 inference(avatar_split_clause,[],[f209,f159,f216,f213])). 0.59/1.79 tff(f209,plain,( 0.59/1.79 $less(sF1,sF3) | ~$less(sF2,0.0) | ~spl5_15), 0.59/1.79 inference(superposition,[],[f189,f96])). 0.59/1.79 tff(f162,plain,( 0.59/1.79 spl5_12 | ~spl5_8), 0.59/1.79 inference(avatar_split_clause,[],[f107,f77,f115])). 0.59/1.79 tff(f115,plain,( 0.59/1.79 spl5_12 <=> $sum(u,sF0) = sF1), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_12])])). 0.59/1.79 tff(f107,plain,( 0.59/1.79 $sum(u,sF0) = sF1 | ~spl5_8), 0.59/1.79 inference(superposition,[],[f78,f13])). 0.59/1.79 tff(f161,plain,( 0.59/1.79 spl5_15 | ~spl5_10 | ~spl5_13), 0.59/1.79 inference(avatar_split_clause,[],[f156,f150,f85,f159])). 0.59/1.79 tff(f85,plain,( 0.59/1.79 spl5_10 <=> $sum(sF2,sF3) = sF4), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_10])])). 0.59/1.79 tff(f150,plain,( 0.59/1.79 spl5_13 <=> sF4 = sF1), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_13])])). 0.59/1.79 tff(f156,plain,( 0.59/1.79 $sum(sF2,sF3) = sF1 | (~spl5_10 | ~spl5_13)), 0.59/1.79 inference(backward_demodulation,[],[f86,f151])). 0.59/1.79 tff(f151,plain,( 0.59/1.79 sF4 = sF1 | ~spl5_13), 0.59/1.79 inference(avatar_component_clause,[],[f150])). 0.59/1.79 tff(f86,plain,( 0.59/1.79 $sum(sF2,sF3) = sF4 | ~spl5_10), 0.59/1.79 inference(avatar_component_clause,[],[f85])). 0.59/1.79 tff(f155,plain,( 0.59/1.79 spl5_13 | spl5_14 | spl5_1), 0.59/1.79 inference(avatar_split_clause,[],[f147,f49,f153,f150])). 0.59/1.79 tff(f153,plain,( 0.59/1.79 spl5_14 <=> $less(sF4,sF1)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_14])])). 0.59/1.79 tff(f49,plain,( 0.59/1.79 spl5_1 <=> $less(sF1,sF4)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_1])])). 0.59/1.79 tff(f147,plain,( 0.59/1.79 $less(sF4,sF1) | sF4 = sF1 | spl5_1), 0.59/1.79 inference(resolution,[],[f20,f50])). 0.59/1.79 tff(f50,plain,( 0.59/1.79 ~$less(sF1,sF4) | spl5_1), 0.59/1.79 inference(avatar_component_clause,[],[f49])). 0.59/1.79 tff(f137,plain,( 0.59/1.79 spl5_12 | ~spl5_8), 0.59/1.79 inference(avatar_split_clause,[],[f104,f77,f115])). 0.59/1.79 tff(f104,plain,( 0.59/1.79 $sum(u,sF0) = sF1 | ~spl5_8), 0.59/1.79 inference(superposition,[],[f78,f13])). 0.59/1.79 tff(f126,plain,( 0.59/1.79 spl5_12 | ~spl5_8), 0.59/1.79 inference(avatar_split_clause,[],[f101,f77,f115])). 0.59/1.79 tff(f101,plain,( 0.59/1.79 $sum(u,sF0) = sF1 | ~spl5_8), 0.59/1.79 inference(superposition,[],[f13,f78])). 0.59/1.79 tff(f117,plain,( 0.59/1.79 spl5_12 | ~spl5_8), 0.59/1.79 inference(avatar_split_clause,[],[f98,f77,f115])). 0.59/1.79 tff(f98,plain,( 0.59/1.79 $sum(u,sF0) = sF1 | ~spl5_8), 0.59/1.79 inference(superposition,[],[f13,f78])). 0.59/1.79 tff(f95,plain,( 0.59/1.79 spl5_11), 0.59/1.79 inference(avatar_split_clause,[],[f47,f93])). 0.59/1.79 tff(f93,plain,( 0.59/1.79 spl5_11 <=> $less($product(0.333333,$sum(w,s)),v)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_11])])). 0.59/1.79 tff(f47,plain,( 0.59/1.79 $less($product(0.333333,$sum(w,s)),v)), 0.59/1.79 inference(evaluation,[],[f36])). 0.59/1.79 tff(f36,plain,( 0.59/1.79 $less($product($quotient(1.0,3.0),$sum(w,s)),v)), 0.59/1.79 inference(cnf_transformation,[],[f8])). 0.59/1.79 tff(f8,axiom,( 0.59/1.79 $less($product($quotient(1.0,3.0),$sum(w,s)),v)), 0.59/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_03)). 0.59/1.79 tff(f87,plain,( 0.59/1.79 spl5_10), 0.59/1.79 inference(avatar_split_clause,[],[f45,f85])). 0.59/1.79 tff(f45,plain,( 0.59/1.79 $sum(sF2,sF3) = sF4), 0.59/1.79 introduced(function_definition,[])). 0.59/1.79 tff(f83,plain,( 0.59/1.79 spl5_9), 0.59/1.79 inference(avatar_split_clause,[],[f43,f81])). 0.59/1.79 tff(f43,plain,( 0.59/1.79 $product(v,v) = sF2), 0.59/1.79 introduced(function_definition,[])). 0.59/1.79 tff(f79,plain,( 0.59/1.79 spl5_8), 0.59/1.79 inference(avatar_split_clause,[],[f42,f77])). 0.59/1.79 tff(f42,plain,( 0.59/1.79 sF1 = $sum(sF0,u)), 0.59/1.79 introduced(function_definition,[])). 0.59/1.79 tff(f75,plain,( 0.59/1.79 spl5_7), 0.59/1.79 inference(avatar_split_clause,[],[f44,f73])). 0.59/1.79 tff(f44,plain,( 0.59/1.79 f(y) = sF3), 0.59/1.79 introduced(function_definition,[])). 0.59/1.79 tff(f71,plain,( 0.59/1.79 spl5_6), 0.59/1.79 inference(avatar_split_clause,[],[f41,f69])). 0.59/1.79 tff(f41,plain,( 0.59/1.79 f(x) = sF0), 0.59/1.79 introduced(function_definition,[])). 0.59/1.79 tff(f67,plain,( 0.59/1.79 ~spl5_5), 0.59/1.79 inference(avatar_split_clause,[],[f40,f65])). 0.59/1.79 tff(f40,plain,( 0.59/1.79 ~$less(y,x)), 0.59/1.79 inference(cnf_transformation,[],[f9])). 0.59/1.79 tff(f9,plain,( 0.59/1.79 ~$less(y,x)), 0.59/1.79 inference(theory_normalization,[],[f6])). 0.59/1.79 tff(f6,axiom,( 0.59/1.79 $lesseq(x,y)), 0.59/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_04)). 0.59/1.79 tff(f63,plain,( 0.59/1.79 spl5_4), 0.59/1.79 inference(avatar_split_clause,[],[f39,f61])). 0.59/1.79 tff(f61,plain,( 0.59/1.79 spl5_4 <=> $less(2.0,s)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_4])])). 0.59/1.79 tff(f39,plain,( 0.59/1.79 $less(2.0,s)), 0.59/1.79 inference(cnf_transformation,[],[f10])). 0.59/1.79 tff(f10,plain,( 0.59/1.79 $less(2.0,s)), 0.59/1.79 inference(theory_normalization,[],[f3])). 0.59/1.79 tff(f3,axiom,( 0.59/1.79 $greater(s,2.0)), 0.59/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_02)). 0.59/1.79 tff(f59,plain,( 0.59/1.79 spl5_3), 0.59/1.79 inference(avatar_split_clause,[],[f38,f57])). 0.59/1.79 tff(f38,plain,( 0.59/1.79 $less(u,v)), 0.59/1.79 inference(cnf_transformation,[],[f4])). 0.59/1.79 tff(f4,axiom,( 0.59/1.79 $less(u,v)), 0.59/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis)). 0.59/1.79 tff(f55,plain,( 0.59/1.79 spl5_2), 0.59/1.79 inference(avatar_split_clause,[],[f35,f53])). 0.59/1.79 tff(f53,plain,( 0.59/1.79 spl5_2 <=> $less(1.0,w)), 0.59/1.79 introduced(avatar_definition,[new_symbols(naming,[spl5_2])])). 0.59/1.79 tff(f35,plain,( 0.59/1.79 $less(1.0,w)), 0.59/1.79 inference(cnf_transformation,[],[f12])). 0.59/1.79 tff(f12,plain,( 0.59/1.79 $less(1.0,w)), 0.59/1.79 inference(theory_normalization,[],[f5])). 0.59/1.79 tff(f5,axiom,( 0.59/1.79 $greater(w,1.0)), 0.59/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01)). 0.59/1.79 tff(f51,plain,( 0.59/1.79 ~spl5_1), 0.59/1.79 inference(avatar_split_clause,[],[f46,f49])). 0.59/1.79 tff(f46,plain,( 0.59/1.79 ~$less(sF1,sF4)), 0.59/1.79 inference(definition_folding,[],[f34,f45,f44,f43,f42,f41])). 0.59/1.79 tff(f34,plain,( 0.59/1.79 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.59/1.79 inference(cnf_transformation,[],[f32])). 0.59/1.79 tff(f32,plain,( 0.59/1.79 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.59/1.79 inference(flattening,[],[f2])). 0.59/1.79 tff(f2,negated_conjecture,( 0.59/1.79 ~$less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.59/1.79 inference(negated_conjecture,[],[f1])). 0.59/1.79 tff(f1,conjecture,( 0.59/1.79 $less($sum(f(x),u),$sum($product(v,v),f(y)))), 0.59/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion)). 0.59/1.79 % SZS output end Proof for theBenchmark 0.59/1.79 % (19863)------------------------------ 0.59/1.79 % (19863)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.59/1.79 % (19863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.59/1.79 % (19863)Termination reason: Refutation 0.59/1.79 0.59/1.79 % (19863)Memory used [KB]: 1407 0.59/1.79 % (19863)Time elapsed: 0.086 s 0.59/1.79 % (19863)Instructions burned: 184 (million) 0.59/1.79 % (19863)------------------------------ 0.59/1.79 % (19863)------------------------------ 0.59/1.79 % (19862)Success in time 0.198 s 0.59/1.80 EOF