TSTP Solution File: GRP185-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP185-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:14:47 EDT 2022
% Result : Unsatisfiable 1.31s 0.53s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(subsumption_resolution,[],[f133,f125]) ).
fof(f125,plain,
! [X2,X3,X4] : greatest_lower_bound(X4,least_upper_bound(X2,least_upper_bound(X3,X4))) = X4,
inference(superposition,[],[f36,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f36,plain,
! [X2,X1] : greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f133,plain,
least_upper_bound(identity,multiply(a,b)) != greatest_lower_bound(least_upper_bound(identity,multiply(a,b)),least_upper_bound(b,least_upper_bound(a,least_upper_bound(identity,multiply(a,b))))),
inference(backward_demodulation,[],[f99,f127]) ).
fof(f127,plain,
! [X10,X8,X9] : least_upper_bound(X10,least_upper_bound(X8,X9)) = least_upper_bound(X8,least_upper_bound(X9,X10)),
inference(superposition,[],[f5,f7]) ).
fof(f99,plain,
greatest_lower_bound(least_upper_bound(identity,multiply(a,b)),least_upper_bound(b,least_upper_bound(identity,least_upper_bound(multiply(a,b),a)))) != least_upper_bound(identity,multiply(a,b)),
inference(backward_demodulation,[],[f22,f94]) ).
fof(f94,plain,
! [X1] : multiply(X1,identity) = X1,
inference(backward_demodulation,[],[f90,f92]) ).
fof(f92,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f43,f43]) ).
fof(f43,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f41,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f41,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f90,plain,
! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f43,f2]) ).
fof(f22,plain,
least_upper_bound(identity,multiply(a,b)) != greatest_lower_bound(least_upper_bound(identity,multiply(a,b)),least_upper_bound(b,least_upper_bound(identity,least_upper_bound(multiply(a,b),multiply(a,identity))))),
inference(superposition,[],[f21,f5]) ).
fof(f21,plain,
least_upper_bound(multiply(a,b),identity) != greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(b,least_upper_bound(identity,least_upper_bound(multiply(a,b),multiply(a,identity))))),
inference(backward_demodulation,[],[f20,f7]) ).
fof(f20,plain,
least_upper_bound(multiply(a,b),identity) != greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(least_upper_bound(b,identity),least_upper_bound(multiply(a,b),multiply(a,identity)))),
inference(backward_demodulation,[],[f19,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f19,plain,
least_upper_bound(multiply(a,b),identity) != greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(least_upper_bound(b,identity),multiply(a,least_upper_bound(b,identity)))),
inference(backward_demodulation,[],[f18,f5]) ).
fof(f18,plain,
least_upper_bound(multiply(a,b),identity) != greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(multiply(a,least_upper_bound(b,identity)),least_upper_bound(b,identity))),
inference(backward_demodulation,[],[f17,f1]) ).
fof(f17,plain,
least_upper_bound(multiply(a,b),identity) != greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(multiply(a,least_upper_bound(b,identity)),multiply(identity,least_upper_bound(b,identity)))),
inference(backward_demodulation,[],[f16,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f16,axiom,
least_upper_bound(multiply(a,b),identity) != greatest_lower_bound(least_upper_bound(multiply(a,b),identity),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p22b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP185-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:46:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 % (24302)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.48 % (24311)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.49 % (24294)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (24289)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.20/0.49 % (24294)Instruction limit reached!
% 0.20/0.49 % (24294)------------------------------
% 0.20/0.49 % (24294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (24290)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.49 % (24294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (24294)Termination reason: Unknown
% 0.20/0.49 % (24294)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (24294)Memory used [KB]: 5500
% 0.20/0.49 % (24294)Time elapsed: 0.099 s
% 0.20/0.49 % (24294)Instructions burned: 7 (million)
% 0.20/0.49 % (24294)------------------------------
% 0.20/0.49 % (24294)------------------------------
% 0.20/0.50 % (24289)Instruction limit reached!
% 0.20/0.50 % (24289)------------------------------
% 0.20/0.50 % (24289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (24289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (24289)Termination reason: Unknown
% 0.20/0.50 % (24289)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (24289)Memory used [KB]: 5628
% 0.20/0.50 % (24289)Time elapsed: 0.096 s
% 0.20/0.50 % (24289)Instructions burned: 11 (million)
% 0.20/0.50 % (24289)------------------------------
% 0.20/0.50 % (24289)------------------------------
% 0.20/0.50 % (24297)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.50 % (24292)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (24308)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.50 % (24299)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (24316)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.51 % (24307)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (24288)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.51 % (24298)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (24291)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.31/0.52 % (24315)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 1.31/0.52 % (24291)Instruction limit reached!
% 1.31/0.52 % (24291)------------------------------
% 1.31/0.52 % (24291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (24291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (24291)Termination reason: Unknown
% 1.31/0.52 % (24291)Termination phase: Saturation
% 1.31/0.52
% 1.31/0.52 % (24291)Memory used [KB]: 5500
% 1.31/0.52 % (24291)Time elapsed: 0.117 s
% 1.31/0.52 % (24291)Instructions burned: 6 (million)
% 1.31/0.52 % (24291)------------------------------
% 1.31/0.52 % (24291)------------------------------
% 1.31/0.52 % (24293)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.31/0.52 % (24317)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 1.31/0.52 % (24303)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 1.31/0.53 % (24301)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 1.31/0.53 % (24292)First to succeed.
% 1.31/0.53 % (24292)Refutation found. Thanks to Tanya!
% 1.31/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.31/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.53 % (24292)------------------------------
% 1.31/0.53 % (24292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (24292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (24292)Termination reason: Refutation
% 1.31/0.53
% 1.31/0.53 % (24292)Memory used [KB]: 5628
% 1.31/0.53 % (24292)Time elapsed: 0.110 s
% 1.31/0.53 % (24292)Instructions burned: 8 (million)
% 1.31/0.53 % (24292)------------------------------
% 1.31/0.53 % (24292)------------------------------
% 1.31/0.53 % (24282)Success in time 0.181 s
%------------------------------------------------------------------------------