TSTP Solution File: GRP602-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP602-1 : 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 : n011.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 12:07:42 EDT 2024
% Result : Unsatisfiable 0.17s 0.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1413,plain,
$false,
inference(trivial_inequality_removal,[],[f1412]) ).
fof(f1412,plain,
a2 != a2,
inference(superposition,[],[f1118,f719]) ).
fof(f719,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f6,f517]) ).
fof(f517,plain,
! [X2,X3] : multiply(double_divide(inverse(X2),X3),X3) = X2,
inference(forward_demodulation,[],[f468,f87]) ).
fof(f87,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(multiply(X0,X1),X2),X0)) = X2,
inference(superposition,[],[f17,f15]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(multiply(double_divide(X1,X0),X2),X1),X3),multiply(X3,X2)) = X0,
inference(superposition,[],[f12,f6]) ).
fof(f12,plain,
! [X2,X3,X1] : multiply(double_divide(X1,X2),multiply(X2,multiply(X3,X1))) = X3,
inference(superposition,[],[f6,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : multiply(multiply(double_divide(X2,double_divide(X0,X1)),X3),X2) = multiply(X1,multiply(X3,X0)),
inference(superposition,[],[f6,f6]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),multiply(X3,X2)),
inference(superposition,[],[f12,f12]) ).
fof(f468,plain,
! [X2,X3,X0,X1] : double_divide(X1,multiply(double_divide(multiply(X0,X1),X2),X0)) = multiply(double_divide(inverse(X2),X3),X3),
inference(superposition,[],[f437,f113]) ).
fof(f113,plain,
! [X2,X0,X1] : multiply(multiply(double_divide(multiply(X1,X0),X2),X1),X0) = inverse(X2),
inference(superposition,[],[f2,f87]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f437,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),X2),X2),
inference(superposition,[],[f403,f87]) ).
fof(f403,plain,
! [X2,X0,X1] : double_divide(X0,X2) = multiply(X1,double_divide(X0,multiply(X1,X2))),
inference(superposition,[],[f348,f196]) ).
fof(f196,plain,
! [X2,X0,X1] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(superposition,[],[f12,f138]) ).
fof(f138,plain,
! [X2,X0,X1] : inverse(X2) = multiply(double_divide(X1,multiply(X2,X0)),multiply(X0,X1)),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))) = X0,
inference(superposition,[],[f87,f17]) ).
fof(f348,plain,
! [X2,X0,X1] : multiply(X0,X2) = double_divide(X1,multiply(double_divide(X1,X2),inverse(X0))),
inference(superposition,[],[f87,f266]) ).
fof(f266,plain,
! [X2,X0,X1] : double_divide(X1,X2) = double_divide(multiply(inverse(X0),X1),multiply(X0,X2)),
inference(superposition,[],[f87,f196]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(double_divide(X0,X1),X2),X0)) = X2,
inference(superposition,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(multiply(double_divide(X0,X2),X1),X0),X2)) = X1,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(inverse(double_divide(X1,double_divide(X0,X2))),X0),X2)) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f1118,plain,
a2 != multiply(a2,multiply(b2,inverse(b2))),
inference(forward_demodulation,[],[f1040,f955]) ).
fof(f955,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f954,f482]) ).
fof(f482,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f437,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : multiply(double_divide(multiply(X2,X0),double_divide(X0,X1)),X2) = X1,
inference(superposition,[],[f12,f12]) ).
fof(f954,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(X2,X1)),X0),
inference(forward_demodulation,[],[f929,f570]) ).
fof(f570,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f554,f87]) ).
fof(f554,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(multiply(X0,X1),X2),X0)) = inverse(inverse(X2)),
inference(superposition,[],[f483,f113]) ).
fof(f483,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f437,f138]) ).
fof(f929,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(X2,X1)),inverse(inverse(X0))),
inference(superposition,[],[f196,f699]) ).
fof(f699,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f698,f482]) ).
fof(f698,plain,
! [X2,X0,X1] : multiply(double_divide(X2,double_divide(X2,inverse(X1))),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f686,f2]) ).
fof(f686,plain,
! [X2,X0,X1] : multiply(double_divide(X2,double_divide(X2,inverse(X1))),inverse(double_divide(X0,X1))) = X0,
inference(superposition,[],[f196,f485]) ).
fof(f485,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X1,X0),X1),
inference(superposition,[],[f113,f437]) ).
fof(f1040,plain,
a2 != multiply(a2,multiply(inverse(b2),b2)),
inference(superposition,[],[f3,f955]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP602-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 04:33:16 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (16889)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35 % (16892)WARNING: value z3 for option sas not known
% 0.17/0.35 % (16895)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)
% 0.17/0.35 % (16893)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.35 % (16896)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)
% 0.17/0.35 % (16892)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)
% 0.17/0.35 % (16890)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35 % (16891)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35 % (16894)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)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [3]
% 0.17/0.36 TRYING [4]
% 0.17/0.38 TRYING [4]
% 0.17/0.40 % (16892)First to succeed.
% 0.17/0.40 % (16896)Also succeeded, but the first one will report.
% 0.17/0.40 % (16892)Refutation found. Thanks to Tanya!
% 0.17/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.40 % (16892)------------------------------
% 0.17/0.40 % (16892)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.40 % (16892)Termination reason: Refutation
% 0.17/0.40
% 0.17/0.40 % (16892)Memory used [KB]: 1889
% 0.17/0.40 % (16892)Time elapsed: 0.048 s
% 0.17/0.40 % (16892)Instructions burned: 108 (million)
% 0.17/0.40 % (16892)------------------------------
% 0.17/0.40 % (16892)------------------------------
% 0.17/0.40 % (16889)Success in time 0.063 s
%------------------------------------------------------------------------------