TSTP Solution File: GRP512-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP512-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n015.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 16:16:25 EDT 2022
% Result : Unsatisfiable 1.57s 0.57s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f366,plain,
$false,
inference(trivial_inequality_removal,[],[f331]) ).
fof(f331,plain,
multiply(a,b) != multiply(a,b),
inference(backward_demodulation,[],[f2,f325]) ).
fof(f325,plain,
! [X14,X15] : multiply(X15,X14) = multiply(X14,X15),
inference(forward_demodulation,[],[f290,f116]) ).
fof(f116,plain,
! [X35] : inverse(inverse(X35)) = X35,
inference(superposition,[],[f39,f80]) ).
fof(f80,plain,
! [X10,X11] : inverse(X10) = multiply(X11,inverse(multiply(X10,X11))),
inference(superposition,[],[f56,f56]) ).
fof(f56,plain,
! [X2,X3] : multiply(multiply(X3,X2),inverse(X3)) = X2,
inference(superposition,[],[f22,f25]) ).
fof(f25,plain,
! [X6,X4,X5] : inverse(multiply(X5,multiply(X4,inverse(multiply(multiply(X5,X4),X6))))) = X6,
inference(superposition,[],[f3,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X2))))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,X3),inverse(multiply(multiply(multiply(X0,X1),X2),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,inverse(multiply(X0,X2))),inverse(X1)),
inference(superposition,[],[f3,f1]) ).
fof(f39,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X2,X0),inverse(multiply(X2,multiply(X0,X1))))) = X1,
inference(superposition,[],[f25,f3]) ).
fof(f290,plain,
! [X14,X15] : multiply(X15,inverse(inverse(X14))) = multiply(X14,X15),
inference(superposition,[],[f227,f56]) ).
fof(f227,plain,
! [X22,X23] : multiply(multiply(X22,X23),inverse(X23)) = X22,
inference(forward_demodulation,[],[f204,f152]) ).
fof(f152,plain,
! [X10,X11] : multiply(multiply(X10,inverse(X10)),X11) = X11,
inference(superposition,[],[f85,f56]) ).
fof(f85,plain,
! [X8,X7] : multiply(X8,inverse(multiply(X7,inverse(X7)))) = X8,
inference(superposition,[],[f1,f56]) ).
fof(f204,plain,
! [X21,X22,X23] : multiply(multiply(X22,X23),inverse(multiply(multiply(X21,inverse(X21)),X23))) = X22,
inference(superposition,[],[f1,f152]) ).
fof(f2,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GRP512-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:42:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (21705)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 (3000ds/353Mi)
% 0.20/0.54 % (21701)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 (3000ds/46Mi)
% 0.20/0.54 % (21713)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 0.20/0.54 % (21697)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.20/0.54 % (21703)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 (3000ds/48Mi)
% 0.20/0.55 % (21717)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.55 % (21712)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.20/0.55 % (21696)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 (3000ds/48Mi)
% 0.20/0.56 % (21693)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 (3000ds/10Mi)
% 0.20/0.56 % (21720)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 (3000ds/381Mi)
% 0.20/0.56 % (21704)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/292Mi)
% 1.57/0.56 % (21709)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/257Mi)
% 1.57/0.56 % (21697)Instruction limit reached!
% 1.57/0.56 % (21697)------------------------------
% 1.57/0.56 % (21697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (21694)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 (3000ds/37Mi)
% 1.57/0.57 % (21702)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 (3000ds/37Mi)
% 1.57/0.57 % (21715)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 1.57/0.57 % (21705)First to succeed.
% 1.57/0.57 % (21697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (21697)Termination reason: Unknown
% 1.57/0.57 % (21697)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (21697)Memory used [KB]: 5756
% 1.57/0.57 % (21697)Time elapsed: 0.147 s
% 1.57/0.57 % (21697)Instructions burned: 22 (million)
% 1.57/0.57 % (21697)------------------------------
% 1.57/0.57 % (21697)------------------------------
% 1.57/0.57 % (21707)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 (3000ds/212Mi)
% 1.57/0.57 % (21714)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 1.57/0.57 % (21705)Refutation found. Thanks to Tanya!
% 1.57/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.57 % (21705)------------------------------
% 1.57/0.57 % (21705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (21705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (21705)Termination reason: Refutation
% 1.57/0.57
% 1.57/0.57 % (21705)Memory used [KB]: 5884
% 1.57/0.57 % (21705)Time elapsed: 0.144 s
% 1.57/0.57 % (21705)Instructions burned: 22 (million)
% 1.57/0.57 % (21705)------------------------------
% 1.57/0.57 % (21705)------------------------------
% 1.57/0.57 % (21691)Success in time 0.214 s
%------------------------------------------------------------------------------