TSTP Solution File: GRP603-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP603-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Mon May 20 21:31:31 EDT 2024
% Result : Unsatisfiable 4.10s 0.94s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 153 ( 153 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11968,plain,
$false,
inference(trivial_inequality_removal,[],[f11967]) ).
fof(f11967,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[],[f11766,f1138]) ).
fof(f1138,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(backward_demodulation,[],[f1054,f1136]) ).
fof(f1136,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f1115,f540]) ).
fof(f540,plain,
! [X2,X0] : inverse(X2) = multiply(double_divide(X0,X2),X0),
inference(backward_demodulation,[],[f113,f509]) ).
fof(f509,plain,
! [X2,X0,X1] : double_divide(X1,X2) = multiply(double_divide(multiply(X0,X1),X2),X0),
inference(superposition,[],[f420,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : multiply(double_divide(multiply(X2,X0),double_divide(X0,X1)),X2) = X1,
inference(superposition,[],[f12,f12]) ).
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(f6,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(double_divide(X0,X1),X2),X0)) = X2,
inference(superposition,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
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(f420,plain,
! [X2,X3,X4] : multiply(double_divide(X3,multiply(double_divide(X3,X4),X2)),X2) = X4,
inference(forward_demodulation,[],[f419,f6]) ).
fof(f419,plain,
! [X2,X3,X0,X1,X4] : multiply(double_divide(X3,multiply(double_divide(X3,X4),multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)))),X2) = X4,
inference(forward_demodulation,[],[f418,f293]) ).
fof(f293,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,multiply(X2,X0)),X3) = multiply(X2,multiply(multiply(X1,X0),X3)),
inference(forward_demodulation,[],[f262,f2]) ).
fof(f262,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,multiply(X2,X0)),X3) = multiply(X2,multiply(inverse(double_divide(X0,X1)),X3)),
inference(superposition,[],[f198,f12]) ).
fof(f198,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(X1,X2),multiply(inverse(X1),X0)),
inference(superposition,[],[f6,f140]) ).
fof(f140,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(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(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(f418,plain,
! [X2,X3,X0,X1,X4] : multiply(double_divide(X3,multiply(double_divide(X3,X4),multiply(multiply(double_divide(X1,X0),multiply(X0,X2)),X1))),X2) = X4,
inference(forward_demodulation,[],[f386,f381]) ).
fof(f381,plain,
! [X2,X3,X0,X1] : double_divide(X3,multiply(X1,multiply(X2,X0))) = double_divide(multiply(multiply(X1,X0),X3),X2),
inference(forward_demodulation,[],[f358,f2]) ).
fof(f358,plain,
! [X2,X3,X0,X1] : double_divide(X3,multiply(X1,multiply(X2,X0))) = double_divide(multiply(inverse(double_divide(X0,X1)),X3),X2),
inference(superposition,[],[f236,f12]) ).
fof(f236,plain,
! [X2,X0,X1] : double_divide(X1,X2) = double_divide(multiply(inverse(X0),X1),multiply(X0,X2)),
inference(superposition,[],[f87,f179]) ).
fof(f179,plain,
! [X2,X3,X1] : multiply(double_divide(X2,double_divide(X2,multiply(X3,X1))),inverse(X3)) = X1,
inference(forward_demodulation,[],[f165,f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(X2,multiply(X0,X1)),X3),X2) = double_divide(X1,multiply(X3,X0)),
inference(superposition,[],[f87,f87]) ).
fof(f165,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0)),inverse(X3)) = X1,
inference(superposition,[],[f12,f113]) ).
fof(f386,plain,
! [X2,X3,X0,X1,X4] : multiply(double_divide(multiply(multiply(double_divide(X3,X4),X1),X3),multiply(double_divide(X1,X0),multiply(X0,X2))),X2) = X4,
inference(backward_demodulation,[],[f294,f381]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] : multiply(double_divide(multiply(multiply(double_divide(X1,X0),X2),multiply(multiply(double_divide(X3,X4),X1),X3)),X0),X2) = X4,
inference(backward_demodulation,[],[f51,f293]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X4] : multiply(double_divide(multiply(multiply(double_divide(X3,X4),multiply(multiply(double_divide(X1,X0),X2),X1)),X3),X0),X2) = X4,
inference(superposition,[],[f15,f6]) ).
fof(f113,plain,
! [X2,X0,X1] : multiply(multiply(double_divide(multiply(X1,X0),X2),X1),X0) = inverse(X2),
inference(superposition,[],[f2,f87]) ).
fof(f1115,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,X1),X0)) = X1,
inference(superposition,[],[f540,f420]) ).
fof(f1054,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,inverse(inverse(X0))),
inference(superposition,[],[f1038,f198]) ).
fof(f1038,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(forward_demodulation,[],[f1016,f2]) ).
fof(f1016,plain,
! [X0,X1] : multiply(X1,inverse(double_divide(inverse(X0),X0))) = X1,
inference(superposition,[],[f980,f599]) ).
fof(f599,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(X1))) = X2,
inference(backward_demodulation,[],[f6,f573]) ).
fof(f573,plain,
! [X2,X0,X1] : multiply(multiply(double_divide(X1,X0),X2),X1) = multiply(X2,inverse(X0)),
inference(backward_demodulation,[],[f217,f539]) ).
fof(f539,plain,
! [X2,X1] : double_divide(X1,double_divide(X1,X2)) = X2,
inference(backward_demodulation,[],[f87,f509]) ).
fof(f217,plain,
! [X2,X3,X0,X1] : multiply(multiply(double_divide(X1,X0),X2),X1) = multiply(double_divide(X3,double_divide(X3,X2)),inverse(X0)),
inference(superposition,[],[f179,f6]) ).
fof(f980,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f12,f599]) ).
fof(f11766,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(superposition,[],[f3,f1086]) ).
fof(f1086,plain,
! [X2,X3,X1] : multiply(X2,multiply(X3,X1)) = multiply(multiply(X2,X1),X3),
inference(forward_demodulation,[],[f1085,f2]) ).
fof(f1085,plain,
! [X2,X3,X1] : multiply(X2,multiply(X3,X1)) = multiply(inverse(double_divide(X1,X2)),X3),
inference(forward_demodulation,[],[f1084,f1049]) ).
fof(f1049,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(X0),multiply(X1,X0)),
inference(superposition,[],[f1038,f140]) ).
fof(f1084,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,X1)) = multiply(double_divide(inverse(X0),multiply(double_divide(X1,X2),X0)),X3),
inference(forward_demodulation,[],[f1052,f840]) ).
fof(f840,plain,
! [X2,X0,X1] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(superposition,[],[f539,f112]) ).
fof(f1052,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,X1)) = multiply(double_divide(multiply(X0,inverse(X0)),double_divide(X1,X2)),X3),
inference(superposition,[],[f1038,f8]) ).
fof(f3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP603-1 : TPTP v8.2.0. Released v2.6.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.36 % Computer : n012.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun May 19 06:13:08 EDT 2024
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % (6662)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.38 % (6665)WARNING: value z3 for option sas not known
% 0.19/0.38 % (6663)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.38 % (6664)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.38 % (6666)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.38 % (6668)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)
% 0.19/0.38 % (6667)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)
% 0.19/0.38 % (6665)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)
% 0.19/0.38 % (6669)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)
% 0.19/0.38 TRYING [1]
% 0.19/0.38 TRYING [2]
% 0.19/0.38 TRYING [1]
% 0.19/0.38 TRYING [2]
% 0.19/0.38 TRYING [3]
% 0.19/0.38 TRYING [3]
% 0.19/0.39 TRYING [4]
% 0.19/0.41 TRYING [4]
% 0.19/0.51 TRYING [5]
% 2.00/0.67 TRYING [1]
% 2.00/0.67 TRYING [2]
% 2.00/0.67 TRYING [3]
% 2.00/0.68 TRYING [4]
% 3.29/0.83 TRYING [5]
% 4.10/0.94 % (6668)First to succeed.
% 4.10/0.94 % (6668)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6662"
% 4.10/0.94 % (6668)Refutation found. Thanks to Tanya!
% 4.10/0.94 % SZS status Unsatisfiable for theBenchmark
% 4.10/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 4.10/0.94 % (6668)------------------------------
% 4.10/0.94 % (6668)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.10/0.94 % (6668)Termination reason: Refutation
% 4.10/0.94
% 4.10/0.94 % (6668)Memory used [KB]: 5406
% 4.10/0.94 % (6668)Time elapsed: 0.565 s
% 4.10/0.94 % (6668)Instructions burned: 852 (million)
% 4.10/0.94 % (6662)Success in time 0.57 s
%------------------------------------------------------------------------------