TSTP Solution File: GRP014-1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP014-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n018.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 Jun 24 07:13:57 EDT 2024
% Result : Unsatisfiable 2.21s 0.65s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 2
% Syntax : Number of formulae : 90 ( 90 unt; 0 def)
% Number of atoms : 90 ( 89 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 : 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 : 257 ( 257 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17117,plain,
$false,
inference(trivial_inequality_removal,[],[f17083]) ).
fof(f17083,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(backward_demodulation,[],[f2,f17070]) ).
fof(f17070,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f17010,f13100]) ).
fof(f13100,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f12810,f12879]) ).
fof(f12879,plain,
! [X2,X1] : multiply(multiply(X2,inverse(X2)),X1) = X1,
inference(forward_demodulation,[],[f12878,f6769]) ).
fof(f6769,plain,
! [X3] : inverse(inverse(inverse(inverse(X3)))) = X3,
inference(forward_demodulation,[],[f6450,f6471]) ).
fof(f6471,plain,
! [X2,X5] : inverse(inverse(X2)) = multiply(inverse(X5),multiply(X5,X2)),
inference(backward_demodulation,[],[f4507,f6049]) ).
fof(f6049,plain,
! [X2,X1] : inverse(inverse(X2)) = multiply(X2,multiply(X1,inverse(X1))),
inference(superposition,[],[f5510,f5906]) ).
fof(f5906,plain,
! [X2,X0] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(X0,inverse(X0)))),
inference(forward_demodulation,[],[f5894,f4879]) ).
fof(f4879,plain,
! [X2,X3,X1] : multiply(multiply(X1,multiply(X2,inverse(X2))),inverse(multiply(X3,inverse(X3)))) = X1,
inference(superposition,[],[f2556,f4507]) ).
fof(f2556,plain,
! [X3,X0,X1] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,inverse(X3)))) = X1,
inference(forward_demodulation,[],[f2479,f29]) ).
fof(f29,plain,
! [X2,X1,X4,X5] : multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X0)),X2))),X3),inverse(multiply(X1,X3)))) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2479,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X5),multiply(X5,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))),inverse(X3)))) = X1,
inference(superposition,[],[f432,f29]) ).
fof(f432,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),multiply(X3,X2)),inverse(multiply(inverse(X4),multiply(multiply(inverse(X0),multiply(X0,X1)),X2)))))) = X1,
inference(superposition,[],[f120,f99]) ).
fof(f99,plain,
! [X2,X4,X5] : multiply(inverse(X5),multiply(X5,X4)) = multiply(inverse(X2),multiply(X2,X4)),
inference(superposition,[],[f84,f27]) ).
fof(f27,plain,
! [X2,X0,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X0)),multiply(inverse(X0),X2)))),X5),inverse(multiply(X4,X5)))) = X2,
inference(superposition,[],[f3,f1]) ).
fof(f84,plain,
! [X2,X1,X4] : multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X4),multiply(X4,X2)),
inference(superposition,[],[f29,f27]) ).
fof(f120,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X1))),X3),inverse(multiply(inverse(X0),X3))))) = X1,
inference(superposition,[],[f1,f84]) ).
fof(f5894,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(X1,inverse(X1))),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f3617,f5531]) ).
fof(f5531,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = inverse(inverse(inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f5510,f3610]) ).
fof(f3610,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f3529,f2920]) ).
fof(f2920,plain,
! [X2,X4,X5] : multiply(inverse(inverse(X2)),multiply(inverse(multiply(inverse(X4),multiply(X4,X5))),X5)) = X2,
inference(forward_demodulation,[],[f2834,f29]) ).
fof(f2834,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(inverse(multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))))),multiply(inverse(multiply(inverse(X4),multiply(X4,X5))),X5)) = X2,
inference(superposition,[],[f29,f2616]) ).
fof(f2616,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1) = multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),
inference(superposition,[],[f192,f2556]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X1))),X4),inverse(multiply(X0,X4)))))),
inference(superposition,[],[f29,f99]) ).
fof(f3529,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)),
inference(superposition,[],[f2920,f3405]) ).
fof(f3405,plain,
! [X2,X1] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f3265,f68]) ).
fof(f68,plain,
! [X2,X6,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(X2,X5)))),X6),inverse(multiply(X4,X6)))) = X5,
inference(superposition,[],[f27,f27]) ).
fof(f3265,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,inverse(X1))) = inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X0),multiply(X0,inverse(multiply(X2,inverse(X2))))))),X4),inverse(multiply(X3,X4)))),
inference(superposition,[],[f68,f3209]) ).
fof(f3209,plain,
! [X2,X3,X4] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(X3,inverse(multiply(X4,inverse(X4)))),
inference(forward_demodulation,[],[f3103,f2920]) ).
fof(f3103,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(inverse(X3)),multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1)),inverse(multiply(X4,inverse(X4)))),
inference(superposition,[],[f2572,f2556]) ).
fof(f2572,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1))),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f2556,f99]) ).
fof(f3617,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f3610,f3405]) ).
fof(f5510,plain,
! [X2,X1] : inverse(inverse(X1)) = multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))),
inference(forward_demodulation,[],[f5464,f2556]) ).
fof(f5464,plain,
! [X2,X3,X0,X1] : inverse(inverse(X1)) = multiply(X1,inverse(multiply(multiply(inverse(X3),multiply(X3,inverse(multiply(X2,inverse(X2))))),inverse(multiply(X0,inverse(X0)))))),
inference(superposition,[],[f195,f4879]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(inverse(X4),multiply(X4,X3)),inverse(multiply(X0,multiply(multiply(inverse(X0),multiply(inverse(X1),X2)),X3)))))) = X2,
inference(superposition,[],[f1,f99]) ).
fof(f4507,plain,
! [X2,X4,X5] : multiply(inverse(X5),multiply(X5,X2)) = multiply(X2,multiply(X4,inverse(X4))),
inference(superposition,[],[f3654,f68]) ).
fof(f3654,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X1))) = multiply(inverse(X2),multiply(X2,inverse(X0))),
inference(superposition,[],[f99,f3610]) ).
fof(f6450,plain,
! [X2,X3] : inverse(inverse(multiply(inverse(X2),multiply(X2,X3)))) = X3,
inference(forward_demodulation,[],[f6239,f5510]) ).
fof(f6239,plain,
! [X2,X3,X1] : multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(inverse(multiply(X1,inverse(X1))))) = X3,
inference(superposition,[],[f2556,f6048]) ).
fof(f6048,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[],[f5531,f5906]) ).
fof(f12878,plain,
! [X2,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X1))))) = X1,
inference(forward_demodulation,[],[f12762,f6049]) ).
fof(f12762,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(multiply(X2,inverse(X2)),X1)),multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f12651,f3609]) ).
fof(f3609,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0)),X2) = multiply(multiply(X1,inverse(X1)),X2),
inference(forward_demodulation,[],[f3523,f2572]) ).
fof(f3523,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,inverse(X0)),X2) = multiply(multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(inverse(X3),multiply(X3,X2))),inverse(multiply(X4,inverse(X4)))),
inference(superposition,[],[f2572,f3405]) ).
fof(f12651,plain,
! [X2,X0] : inverse(multiply(inverse(multiply(X0,X2)),X0)) = X2,
inference(forward_demodulation,[],[f12650,f6769]) ).
fof(f12650,plain,
! [X2,X0] : inverse(multiply(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X2)),X0)) = X2,
inference(forward_demodulation,[],[f12649,f6769]) ).
fof(f12649,plain,
! [X2,X0] : inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X2)),X0)))))) = X2,
inference(forward_demodulation,[],[f12474,f10915]) ).
fof(f10915,plain,
! [X2,X0] : inverse(inverse(X2)) = multiply(X2,inverse(multiply(inverse(inverse(inverse(X0))),X0))),
inference(forward_demodulation,[],[f10914,f6769]) ).
fof(f10914,plain,
! [X2,X0] : inverse(inverse(X2)) = multiply(X2,inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X0))),X0))))))),
inference(forward_demodulation,[],[f10736,f6049]) ).
fof(f10736,plain,
! [X2,X0,X1] : inverse(inverse(X2)) = multiply(X2,inverse(inverse(multiply(inverse(multiply(inverse(inverse(inverse(X0))),X0)),multiply(X1,inverse(X1)))))),
inference(superposition,[],[f5510,f9960]) ).
fof(f9960,plain,
! [X2,X0] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(inverse(inverse(inverse(X0))),X0))),
inference(forward_demodulation,[],[f9764,f6351]) ).
fof(f6351,plain,
! [X2,X1] : inverse(inverse(X2)) = multiply(X2,inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f5510,f6048]) ).
fof(f9764,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(inverse(inverse(inverse(X0))),X0),inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f3610,f8942]) ).
fof(f8942,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(inverse(X0))),X0)) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[],[f8059,f8509]) ).
fof(f8509,plain,
! [X0,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(inverse(inverse(X0))),X0))))) = X1,
inference(forward_demodulation,[],[f8430,f6757]) ).
fof(f6757,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f6701,f6471]) ).
fof(f6701,plain,
! [X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(X0,X1))) = multiply(inverse(inverse(X0)),inverse(inverse(X1))),
inference(backward_demodulation,[],[f162,f6471]) ).
fof(f162,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(X0,X1))) = multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1))),
inference(superposition,[],[f99,f99]) ).
fof(f8430,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(inverse(inverse(multiply(inverse(inverse(inverse(X0))),X0))))) = X1,
inference(superposition,[],[f7137,f7137]) ).
fof(f7137,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(inverse(inverse(inverse(X0))),X0))) = X1,
inference(superposition,[],[f6713,f6713]) ).
fof(f6713,plain,
! [X2,X5] : multiply(inverse(inverse(X2)),multiply(inverse(inverse(inverse(X5))),X5)) = X2,
inference(backward_demodulation,[],[f2920,f6471]) ).
fof(f8059,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X1))) = inverse(inverse(inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f3405,f6757]) ).
fof(f12474,plain,
! [X2,X0,X1] : inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(X0)))),X2)),X0),inverse(multiply(inverse(inverse(inverse(X1))),X1)))))) = X2,
inference(superposition,[],[f6694,f6763]) ).
fof(f6763,plain,
! [X3,X1] : multiply(inverse(inverse(inverse(X1))),X1) = multiply(inverse(inverse(inverse(X3))),X3),
inference(forward_demodulation,[],[f6712,f6471]) ).
fof(f6712,plain,
! [X2,X3,X1] : multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3) = multiply(inverse(inverse(inverse(X1))),X1),
inference(backward_demodulation,[],[f2616,f6471]) ).
fof(f6694,plain,
! [X2,X4,X5] : inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))) = X2,
inference(backward_demodulation,[],[f29,f6471]) ).
fof(f12810,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[],[f8102,f12651]) ).
fof(f8102,plain,
! [X0,X1] : multiply(X0,inverse(inverse(multiply(inverse(X0),X1)))) = X1,
inference(forward_demodulation,[],[f8054,f6769]) ).
fof(f8054,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(X1)))) = multiply(X0,inverse(inverse(multiply(inverse(X0),X1)))),
inference(superposition,[],[f6807,f6757]) ).
fof(f6807,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X0,multiply(inverse(inverse(inverse(X0))),X1)),
inference(superposition,[],[f6471,f6769]) ).
fof(f17010,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,inverse(inverse(multiply(X1,X2)))),
inference(superposition,[],[f12810,f16821]) ).
fof(f16821,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X1,X2))) = X0,
inference(superposition,[],[f16766,f13181]) ).
fof(f13181,plain,
! [X2,X5] : multiply(inverse(X5),multiply(X5,X2)) = X2,
inference(backward_demodulation,[],[f6471,f13100]) ).
fof(f16766,plain,
! [X2,X3,X1] : multiply(multiply(X1,X2),inverse(multiply(multiply(inverse(X3),X1),X2))) = X3,
inference(forward_demodulation,[],[f16653,f13222]) ).
fof(f13222,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(forward_demodulation,[],[f13178,f13100]) ).
fof(f13178,plain,
! [X2,X1] : multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))) = X1,
inference(backward_demodulation,[],[f5510,f13100]) ).
fof(f16653,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,X2),inverse(multiply(multiply(multiply(inverse(X3),multiply(X0,inverse(X0))),X1),X2))) = X3,
inference(superposition,[],[f16384,f12879]) ).
fof(f16384,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X1,X3),inverse(multiply(multiply(multiply(inverse(X2),X0),X1),X3)))) = X2,
inference(forward_demodulation,[],[f16117,f14317]) ).
fof(f14317,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(superposition,[],[f13295,f13259]) ).
fof(f13259,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f12810,f13181]) ).
fof(f13295,plain,
! [X2,X3] : multiply(X2,multiply(inverse(X2),X3)) = X3,
inference(forward_demodulation,[],[f13294,f12651]) ).
fof(f13294,plain,
! [X2,X3,X0] : multiply(X2,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X2),X3))),inverse(X0)))) = X3,
inference(forward_demodulation,[],[f13276,f13222]) ).
fof(f13276,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X2),X3))),multiply(X1,inverse(X1))),inverse(X0)))) = X3,
inference(superposition,[],[f1,f13222]) ).
fof(f16117,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(multiply(inverse(X2),X0),X1),X3),inverse(multiply(X1,X3))))) = X2,
inference(forward_demodulation,[],[f16055,f13327]) ).
fof(f13327,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f12651,f13295]) ).
fof(f16055,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X0),X2)),X1),X3),inverse(multiply(X1,X3))))) = X2,
inference(backward_demodulation,[],[f1,f13327]) ).
fof(f2,axiom,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP014-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire %s %d THM
% 0.10/0.31 % Computer : n018.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 : Thu Jun 20 10:38:24 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.32 Running first-order theorem proving
% 0.16/0.32 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.38 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38 % (12231)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (2999ds/313Mi)
% 0.18/0.39 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (12228)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (2999ds/140Mi)
% 0.18/0.39 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (12226)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (2999ds/224446Mi)
% 0.18/0.39 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (12227)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (2999ds/107Mi)
% 0.18/0.39 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (12229)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (2999ds/401Mi)
% 0.18/0.40 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (12230)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (2999ds/1122Mi)
% 0.18/0.41 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (12225)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (2999ds/125345Mi)
% 0.18/0.45 % (12228)Instruction limit reached!
% 0.18/0.45 % (12228)------------------------------
% 0.18/0.45 % (12228)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.45 % (12228)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.45 % (12228)Termination reason: Time limit
% 0.18/0.45 % (12228)Termination phase: Saturation
% 0.18/0.45
% 0.18/0.45 % (12228)Memory used [KB]: 2475
% 0.18/0.45 % (12228)Time elapsed: 0.061 s
% 0.18/0.45 % (12228)Instructions burned: 140 (million)
% 0.18/0.45 % (12227)Instruction limit reached!
% 0.18/0.45 % (12227)------------------------------
% 0.18/0.45 % (12227)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.45 % (12227)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.45 % (12227)Termination reason: Time limit
% 0.18/0.45 % (12227)Termination phase: Saturation
% 0.18/0.45
% 0.18/0.45 % (12227)Memory used [KB]: 2249
% 0.18/0.45 % (12227)Time elapsed: 0.060 s
% 0.18/0.45 % (12227)Instructions burned: 107 (million)
% 0.18/0.47 % (12231)Instruction limit reached!
% 0.18/0.47 % (12231)------------------------------
% 0.18/0.47 % (12231)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.48 % (12231)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.48 % (12231)Termination reason: Time limit
% 0.18/0.48 % (12231)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (12231)Memory used [KB]: 4523
% 0.18/0.48 % (12231)Time elapsed: 0.096 s
% 0.18/0.48 % (12231)Instructions burned: 316 (million)
% 0.18/0.48 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.48 % (12242)dis+10_1:9_bsr=unit_only:slsqr=31,32:sil=256000:tgt=full:urr=on:slsqc=2:slsq=on:i=1149:s2at=5.0:slsql=off:ins=1:rawr=on:fd=preordered:drc=encompass_0 on theBenchmark for (2998ds/1149Mi)
% 0.18/0.48 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.48 % (12243)lrs+10_1:10_drc=encompass:sil=2000:tgt=ground:plsq=on:plsqr=92626939,1048576:sp=occurrence:fd=preordered:i=1914:kws=precedence:ins=8:rawr=on_0 on theBenchmark for (2998ds/1914Mi)
% 0.18/0.51 % (12224)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.51 % (12244)lrs+10_16:1_bsr=on:drc=encompass:sil=64000:i=281:bd=off:to=lpo_0 on theBenchmark for (2998ds/281Mi)
% 0.18/0.54 % (12229)Instruction limit reached!
% 0.18/0.54 % (12229)------------------------------
% 0.18/0.54 % (12229)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.54 % (12229)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.54 % (12229)Termination reason: Time limit
% 0.18/0.54 % (12229)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (12229)Memory used [KB]: 5452
% 0.18/0.54 % (12229)Time elapsed: 0.152 s
% 0.18/0.54 % (12229)Instructions burned: 401 (million)
% 1.79/0.58 % (12224)Running in auto input_syntax mode. Trying TPTP
% 1.79/0.58 % (12245)lrs+10_1:64_drc=encompass:sil=2000:fde=none:sp=reverse_arity:s2a=on:i=1826:ins=2:dpc=on:awrs=decay:awrsf=200_0 on theBenchmark for (2997ds/1826Mi)
% 1.92/0.59 % (12244)Instruction limit reached!
% 1.92/0.59 % (12244)------------------------------
% 1.92/0.59 % (12244)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.92/0.59 % (12244)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.92/0.59 % (12244)Termination reason: Time limit
% 1.92/0.59 % (12244)Termination phase: Saturation
% 1.92/0.59
% 1.92/0.59 % (12244)Memory used [KB]: 4621
% 1.92/0.59 % (12244)Time elapsed: 0.085 s
% 1.92/0.59 % (12244)Instructions burned: 283 (million)
% 2.17/0.63 % (12224)Running in auto input_syntax mode. Trying TPTP
% 2.17/0.63 % (12246)dis+10_1:1024_slsqr=7,2:to=lpo:sil=256000:tgt=full:s2agt=8:slsqc=1:slsq=on:s2a=on:i=807:rawr=on_0 on theBenchmark for (2997ds/807Mi)
% 2.21/0.65 % (12230)First to succeed.
% 2.21/0.65 % (12230)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12224"
% 2.21/0.65 % (12224)Running in auto input_syntax mode. Trying TPTP
% 2.21/0.65 % (12230)Refutation found. Thanks to Tanya!
% 2.21/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.21/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.66 % (12230)------------------------------
% 2.21/0.66 % (12230)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.21/0.66 % (12230)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.21/0.66 % (12230)Termination reason: Refutation
% 2.21/0.66
% 2.21/0.66 % (12230)Memory used [KB]: 7242
% 2.21/0.66 % (12230)Time elapsed: 0.257 s
% 2.21/0.66 % (12230)Instructions burned: 866 (million)
% 2.21/0.66 % (12230)------------------------------
% 2.21/0.66 % (12230)------------------------------
% 2.21/0.66 % (12224)Success in time 0.322 s
%------------------------------------------------------------------------------