TSTP Solution File: GRP519-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n008.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 16:16:26 EDT 2022
% Result : Unsatisfiable 0.14s 0.51s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(subsumption_resolution,[],[f84,f24]) ).
fof(f24,plain,
! [X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(X0,multiply(X3,X1)),
inference(backward_demodulation,[],[f4,f18]) ).
fof(f18,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X2,X0),
inference(superposition,[],[f11,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f11,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(X0,X1)),X2),X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X3,X1)) = multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3),X2),
inference(superposition,[],[f1,f1]) ).
fof(f84,plain,
multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)),
inference(backward_demodulation,[],[f2,f69]) ).
fof(f69,plain,
! [X2,X3,X0] : multiply(X0,multiply(X2,X3)) = multiply(multiply(X2,X0),X3),
inference(forward_demodulation,[],[f55,f18]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),X3) = multiply(X0,multiply(X2,X3)),
inference(superposition,[],[f27,f1]) ).
fof(f27,plain,
! [X6,X7,X5] : multiply(X7,X5) = multiply(X6,multiply(multiply(inverse(X6),X7),X5)),
inference(backward_demodulation,[],[f25,f23]) ).
fof(f23,plain,
! [X2,X3,X0,X4] : multiply(X2,X0) = multiply(X3,multiply(X2,multiply(multiply(inverse(multiply(X3,X4)),X0),X4))),
inference(backward_demodulation,[],[f5,f18]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X3,multiply(X2,multiply(multiply(inverse(multiply(X3,X4)),X0),X4))),
inference(superposition,[],[f3,f1]) ).
fof(f25,plain,
! [X10,X6,X9,X7,X5] : multiply(X9,multiply(X7,multiply(multiply(inverse(multiply(X9,X10)),X5),X10))) = multiply(X6,multiply(multiply(inverse(X6),X7),X5)),
inference(forward_demodulation,[],[f22,f24]) ).
fof(f22,plain,
! [X10,X6,X9,X7,X5] : multiply(X9,multiply(X7,multiply(multiply(inverse(multiply(X9,X10)),X5),X10))) = multiply(multiply(inverse(X6),X7),multiply(X6,X5)),
inference(backward_demodulation,[],[f6,f18]) ).
fof(f6,plain,
! [X10,X8,X6,X9,X7,X5] : multiply(X9,multiply(X7,multiply(multiply(inverse(multiply(X9,X10)),X5),X10))) = multiply(multiply(inverse(X6),X7),multiply(multiply(inverse(multiply(inverse(X5),X8)),X6),X8)),
inference(superposition,[],[f3,f3]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.08/0.31 % Computer : n008.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.14/0.31 % DateTime : Mon Aug 29 22:34:40 EDT 2022
% 0.14/0.31 % CPUTime :
% 0.14/0.46 % (17026)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 (3000ds/7Mi)
% 0.14/0.47 % (17028)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.14/0.47 % (17027)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.14/0.47 % (17032)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)
% 0.14/0.47 % (17034)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 (3000ds/321Mi)
% 0.14/0.47 % (17035)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)
% 0.14/0.47 % (17036)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)
% 0.14/0.48 % (17026)Instruction limit reached!
% 0.14/0.48 % (17026)------------------------------
% 0.14/0.48 % (17026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (17043)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)
% 0.14/0.48 % (17042)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)
% 0.14/0.48 % (17026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (17026)Termination reason: Unknown
% 0.14/0.48 % (17026)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (17026)Memory used [KB]: 5500
% 0.14/0.48 % (17026)Time elapsed: 0.107 s
% 0.14/0.48 % (17026)Instructions burned: 7 (million)
% 0.14/0.48 % (17026)------------------------------
% 0.14/0.48 % (17026)------------------------------
% 0.14/0.48 % (17034)Refutation not found, incomplete strategy% (17034)------------------------------
% 0.14/0.48 % (17034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (17034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (17034)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.48
% 0.14/0.48 % (17034)Memory used [KB]: 5373
% 0.14/0.48 % (17034)Time elapsed: 0.116 s
% 0.14/0.48 % (17034)Instructions burned: 1 (million)
% 0.14/0.48 % (17034)------------------------------
% 0.14/0.48 % (17034)------------------------------
% 0.14/0.48 % (17044)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/248Mi)
% 0.14/0.49 % (17048)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)
% 0.14/0.49 % (17040)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.14/0.49 % (17040)First to succeed.
% 0.14/0.51 % (17040)Refutation found. Thanks to Tanya!
% 0.14/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.51 % (17040)------------------------------
% 0.14/0.51 % (17040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (17040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (17040)Termination reason: Refutation
% 0.14/0.51
% 0.14/0.51 % (17040)Memory used [KB]: 5628
% 0.14/0.51 % (17040)Time elapsed: 0.125 s
% 0.14/0.51 % (17040)Instructions burned: 9 (million)
% 0.14/0.51 % (17040)------------------------------
% 0.14/0.51 % (17040)------------------------------
% 0.14/0.51 % (17019)Success in time 0.185 s
%------------------------------------------------------------------------------