TSTP Solution File: GRP597-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP597-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 : Tue Apr 30 12:07:41 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2312,plain,
$false,
inference(subsumption_resolution,[],[f2200,f1589]) ).
fof(f1589,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(X1,inverse(X1)),
inference(superposition,[],[f168,f1253]) ).
fof(f1253,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[],[f1252,f483]) ).
fof(f483,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f474,f407]) ).
fof(f407,plain,
! [X0,X1] : double_divide(inverse(X1),multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f195,f152]) ).
fof(f152,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2))) = X2,
inference(superposition,[],[f149,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f149,plain,
! [X3,X1] : double_divide(X3,multiply(inverse(X3),inverse(X1))) = X1,
inference(forward_demodulation,[],[f130,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),multiply(inverse(double_divide(inverse(X2),X1)),X0)) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f130,plain,
! [X2,X3,X0,X1] : double_divide(X3,multiply(inverse(X3),double_divide(double_divide(X2,X0),multiply(multiply(X0,inverse(inverse(X1))),X2)))) = X1,
inference(superposition,[],[f6,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(multiply(multiply(multiply(multiply(X1,inverse(X2)),X0),inverse(X3)),double_divide(X0,X1)),X2),
inference(superposition,[],[f8,f5]) ).
fof(f8,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(multiply(X1,inverse(X2)),X0),double_divide(X0,X1)),
inference(superposition,[],[f2,f5]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(X2,multiply(multiply(multiply(multiply(X1,inverse(X2)),X0),inverse(X3)),double_divide(X0,X1))) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f195,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(double_divide(X2,inverse(X2)),multiply(X1,X0)),
inference(superposition,[],[f172,f2]) ).
fof(f172,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[],[f5,f148]) ).
fof(f148,plain,
! [X3,X1] : inverse(X1) = multiply(multiply(inverse(X3),inverse(X1)),X3),
inference(forward_demodulation,[],[f123,f5]) ).
fof(f123,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(multiply(inverse(X3),double_divide(double_divide(X2,X0),multiply(multiply(X0,inverse(inverse(X1))),X2))),X3),
inference(superposition,[],[f11,f11]) ).
fof(f474,plain,
! [X2,X0] : double_divide(X0,multiply(inverse(X2),inverse(X0))) = X2,
inference(forward_demodulation,[],[f465,f464]) ).
fof(f464,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X1),X1),inverse(X0)),
inference(superposition,[],[f2,f407]) ).
fof(f465,plain,
! [X2,X0,X1] : double_divide(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),inverse(X0))) = X2,
inference(superposition,[],[f5,f407]) ).
fof(f1252,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X0,multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f1213,f572]) ).
fof(f572,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f30,f552]) ).
fof(f552,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f547,f483]) ).
fof(f547,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(inverse(X1))),X0) = X1,
inference(superposition,[],[f233,f483]) ).
fof(f233,plain,
! [X0,X1] : double_divide(double_divide(inverse(X1),inverse(inverse(X0))),inverse(X1)) = X0,
inference(superposition,[],[f152,f148]) ).
fof(f30,plain,
! [X2,X3,X0,X1] : multiply(X2,X3) = multiply(inverse(X1),double_divide(double_divide(multiply(X2,X3),X0),multiply(X0,inverse(X1)))),
inference(superposition,[],[f9,f8]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(multiply(multiply(X2,multiply(X1,X0)),X3),double_divide(X3,X2)),
inference(superposition,[],[f8,f2]) ).
fof(f1213,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X0,multiply(inverse(X1),X1)),
inference(superposition,[],[f597,f407]) ).
fof(f597,plain,
! [X2,X1] : inverse(X2) = multiply(double_divide(X2,X1),X1),
inference(forward_demodulation,[],[f596,f552]) ).
fof(f596,plain,
! [X2,X0,X1] : inverse(X2) = multiply(double_divide(X2,double_divide(double_divide(X0,X1),X0)),X1),
inference(forward_demodulation,[],[f581,f553]) ).
fof(f553,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X2)),X0) = double_divide(X2,double_divide(X0,X1)),
inference(superposition,[],[f552,f5]) ).
fof(f581,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(multiply(X0,inverse(X2)),double_divide(X0,X1)),X1),
inference(superposition,[],[f8,f552]) ).
fof(f168,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(inverse(X2),multiply(X1,X0)),X2),
inference(superposition,[],[f148,f2]) ).
fof(f2200,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(superposition,[],[f3,f2054]) ).
fof(f2054,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f740,f2]) ).
fof(f740,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = multiply(X1,X0),
inference(superposition,[],[f2,f666]) ).
fof(f666,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[],[f645,f552]) ).
fof(f645,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f620,f565]) ).
fof(f565,plain,
! [X0,X1] : double_divide(X1,X0) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f552,f149]) ).
fof(f620,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),inverse(X0)),X1) = X0,
inference(superposition,[],[f558,f474]) ).
fof(f558,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f552,f552]) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : GRP597-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 04:54:13 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (20594)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (20597)WARNING: value z3 for option sas not known
% 0.15/0.32 % (20601)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.32 % (20595)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (20596)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (20600)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.32 % (20598)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (20599)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.32 % (20597)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [4]
% 0.15/0.35 TRYING [4]
% 0.15/0.37 TRYING [5]
% 0.15/0.38 % (20601)First to succeed.
% 0.15/0.38 % (20601)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (20601)------------------------------
% 0.15/0.38 % (20601)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (20601)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (20601)Memory used [KB]: 1803
% 0.15/0.38 % (20601)Time elapsed: 0.058 s
% 0.15/0.38 % (20601)Instructions burned: 117 (million)
% 0.15/0.38 % (20601)------------------------------
% 0.15/0.38 % (20601)------------------------------
% 0.15/0.38 % (20594)Success in time 0.069 s
%------------------------------------------------------------------------------