TSTP Solution File: GRP435-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP435-1 : 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 : n021.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 12:06:53 EDT 2024
% Result : Unsatisfiable 2.21s 0.72s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 2
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 13 ( 3 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 : 161 ( 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6438,plain,
$false,
inference(trivial_inequality_removal,[],[f6414]) ).
fof(f6414,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f6270]) ).
fof(f6270,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f6123,f2200]) ).
fof(f2200,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(forward_demodulation,[],[f2199,f1925]) ).
fof(f1925,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(backward_demodulation,[],[f1622,f1351]) ).
fof(f1351,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f1147,f895]) ).
fof(f895,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))))) = X1,
inference(superposition,[],[f648,f35]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,inverse(X1)),X2)),X0),inverse(X0)),multiply(X3,inverse(X3)))) = X2,
inference(superposition,[],[f1,f15]) ).
fof(f15,plain,
! [X4,X5] : multiply(X4,inverse(X4)) = multiply(X5,inverse(X5)),
inference(superposition,[],[f3,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(multiply(X2,multiply(inverse(multiply(multiply(X0,X1),X2)),X0)),X1),multiply(X4,inverse(X4)))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f648,plain,
! [X2,X3,X1] : inverse(X2) = inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))),
inference(backward_demodulation,[],[f80,f644]) ).
fof(f644,plain,
! [X3,X0] : inverse(X3) = inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X3)),
inference(backward_demodulation,[],[f216,f619]) ).
fof(f619,plain,
! [X2,X3,X0,X1] : inverse(X1) = inverse(multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,inverse(X0)))),X1),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f374]) ).
fof(f374,plain,
! [X2,X3,X0] : multiply(X3,inverse(X3)) = inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X0),inverse(X0))),
inference(superposition,[],[f94,f137]) ).
fof(f137,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f15,f93]) ).
fof(f93,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[],[f37,f35]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,X1)) = inverse(multiply(multiply(multiply(inverse(multiply(X2,inverse(X2))),X0),X1),multiply(X3,inverse(X3)))),
inference(superposition,[],[f1,f15]) ).
fof(f94,plain,
! [X2,X0,X1,X4] : multiply(X4,inverse(X4)) = inverse(multiply(multiply(inverse(multiply(multiply(X1,X2),inverse(multiply(X0,inverse(X0))))),X1),X2)),
inference(superposition,[],[f37,f3]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X3)) = inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),X3),multiply(X4,inverse(X4)))),
inference(superposition,[],[f37,f137]) ).
fof(f80,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(X0,inverse(X0)))),X2)) = inverse(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3)))),
inference(superposition,[],[f37,f15]) ).
fof(f1147,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f1086,f676]) ).
fof(f676,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1)),
inference(superposition,[],[f644,f644]) ).
fof(f1086,plain,
! [X2,X1] : inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),X2))))) = X2,
inference(superposition,[],[f895,f962]) ).
fof(f962,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),
inference(superposition,[],[f895,f648]) ).
fof(f1622,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2))) = X1,
inference(forward_demodulation,[],[f1335,f1147]) ).
fof(f1335,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2))) = inverse(inverse(inverse(inverse(X1)))),
inference(superposition,[],[f1147,f648]) ).
fof(f2199,plain,
! [X3,X0] : inverse(multiply(inverse(X3),multiply(X0,inverse(X0)))) = X3,
inference(forward_demodulation,[],[f2125,f1925]) ).
fof(f2125,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(X3),multiply(X0,inverse(X0))),multiply(X1,inverse(X1)))) = X3,
inference(backward_demodulation,[],[f1833,f1925]) ).
fof(f1833,plain,
! [X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(X3),multiply(X0,inverse(X0))),multiply(X1,inverse(X1))),multiply(X4,inverse(X4)))) = X3,
inference(backward_demodulation,[],[f1190,f1811]) ).
fof(f1811,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(multiply(X2,inverse(X2)),X3)),
inference(forward_demodulation,[],[f1810,f1147]) ).
fof(f1810,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))),X3)),
inference(forward_demodulation,[],[f1808,f1347]) ).
fof(f1347,plain,
! [X0,X1] : inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))) = inverse(inverse(X1)),
inference(superposition,[],[f1147,f895]) ).
fof(f1808,plain,
! [X2,X3,X1] : inverse(X3) = inverse(multiply(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2))))))),X3)),
inference(backward_demodulation,[],[f661,f1347]) ).
fof(f661,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))))))),X3)),
inference(superposition,[],[f644,f112]) ).
fof(f112,plain,
! [X2,X0,X1] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))),
inference(superposition,[],[f93,f93]) ).
fof(f1190,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),multiply(X0,inverse(X0))),multiply(X1,inverse(X1))),multiply(X4,inverse(X4)))) = X3,
inference(backward_demodulation,[],[f799,f1147]) ).
fof(f799,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,inverse(X2)),X3)),multiply(X0,inverse(X0))),inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),multiply(X4,inverse(X4)))) = X3,
inference(superposition,[],[f35,f680]) ).
fof(f680,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X1))) = inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),
inference(superposition,[],[f644,f15]) ).
fof(f6123,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = inverse(inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f2200,f5828]) ).
fof(f5828,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X2,X0),X1)) = inverse(multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f5698,f2200]) ).
fof(f5698,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,X1))) = inverse(multiply(multiply(inverse(inverse(X2)),X0),X1)),
inference(superposition,[],[f2787,f3034]) ).
fof(f3034,plain,
! [X0,X1] : inverse(X1) = multiply(X0,inverse(multiply(X1,X0))),
inference(superposition,[],[f2200,f2926]) ).
fof(f2926,plain,
! [X0,X1] : inverse(multiply(X1,inverse(multiply(X0,X1)))) = X0,
inference(superposition,[],[f2485,f2485]) ).
fof(f2485,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
inference(forward_demodulation,[],[f2484,f2021]) ).
fof(f2021,plain,
! [X2,X1] : inverse(X2) = inverse(multiply(X2,inverse(multiply(X1,inverse(X1))))),
inference(forward_demodulation,[],[f1912,f1351]) ).
fof(f1912,plain,
! [X2,X0,X1] : inverse(X2) = inverse(multiply(X2,multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))))),
inference(backward_demodulation,[],[f884,f1351]) ).
fof(f884,plain,
! [X2,X3,X0,X1] : inverse(X2) = inverse(multiply(multiply(multiply(X3,inverse(X3)),X2),multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))))),
inference(superposition,[],[f648,f93]) ).
fof(f2484,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0)) = X1,
inference(forward_demodulation,[],[f2015,f1925]) ).
fof(f2015,plain,
! [X2,X0,X1,X4] : inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2))))),X0),multiply(X4,inverse(X4)))) = X1,
inference(backward_demodulation,[],[f414,f1351]) ).
fof(f414,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X2)))))),X0),multiply(X4,inverse(X4)))) = X1,
inference(superposition,[],[f1,f94]) ).
fof(f2787,plain,
! [X2,X3,X4] : inverse(multiply(multiply(inverse(multiply(multiply(X2,X3),X4)),X2),X3)) = X4,
inference(backward_demodulation,[],[f1154,f2784]) ).
fof(f2784,plain,
! [X2,X1] : multiply(X2,inverse(multiply(X1,inverse(X1)))) = X2,
inference(forward_demodulation,[],[f2768,f1351]) ).
fof(f2768,plain,
! [X2,X0,X1] : multiply(X2,multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))) = X2,
inference(superposition,[],[f1925,f93]) ).
fof(f1154,plain,
! [X2,X3,X1,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X4)),X2),X3),inverse(multiply(X1,inverse(X1))))) = X4,
inference(backward_demodulation,[],[f1059,f1147]) ).
fof(f1059,plain,
! [X2,X3,X1,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X4)),X2),X3),inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))))) = X4,
inference(superposition,[],[f1,f962]) ).
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
% 0.04/0.13 % Problem : GRP435-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:31:55 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (590)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (593)WARNING: value z3 for option sas not known
% 0.14/0.38 % (594)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (592)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (597)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)
% 0.14/0.38 % (596)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)
% 0.14/0.38 % (595)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)
% 0.14/0.38 % (593)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (591)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.43 TRYING [4]
% 2.21/0.71 % (596)First to succeed.
% 2.21/0.72 % (596)Refutation found. Thanks to Tanya!
% 2.21/0.72 % SZS status Unsatisfiable for theBenchmark
% 2.21/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.72 % (596)------------------------------
% 2.21/0.72 % (596)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.21/0.72 % (596)Termination reason: Refutation
% 2.21/0.72
% 2.21/0.72 % (596)Memory used [KB]: 3182
% 2.21/0.72 % (596)Time elapsed: 0.333 s
% 2.21/0.72 % (596)Instructions burned: 684 (million)
% 2.21/0.72 % (596)------------------------------
% 2.21/0.72 % (596)------------------------------
% 2.21/0.72 % (590)Success in time 0.348 s
%------------------------------------------------------------------------------