TSTP Solution File: GRP500-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP500-1 : 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 : n032.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 12:07:21 EDT 2024
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 3
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 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 : 221 ( 221 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8062,plain,
$false,
inference(trivial_inequality_removal,[],[f8037]) ).
fof(f8037,plain,
a2 != a2,
inference(superposition,[],[f3,f6114]) ).
fof(f6114,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f5286,f6049]) ).
fof(f6049,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f5957,f5998]) ).
fof(f5998,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f5901,f5994]) ).
fof(f5994,plain,
! [X2,X0,X1] : inverse(X2) = multiply(double_divide(X0,double_divide(X1,X0)),double_divide(X1,X2)),
inference(forward_demodulation,[],[f5891,f5609]) ).
fof(f5609,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X1)) = X0,
inference(superposition,[],[f5512,f4231]) ).
fof(f4231,plain,
! [X2,X3] : double_divide(inverse(X3),double_divide(inverse(X2),X2)) = X3,
inference(superposition,[],[f3890,f3896]) ).
fof(f3896,plain,
! [X2,X3,X4] : multiply(multiply(double_divide(X2,X3),X3),X2) = double_divide(inverse(X4),X4),
inference(forward_demodulation,[],[f3809,f3362]) ).
fof(f3362,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),X2)),X3) = X3,
inference(superposition,[],[f3185,f187]) ).
fof(f187,plain,
! [X2,X3,X1] : double_divide(X3,double_divide(X1,X3)) = double_divide(X2,double_divide(X1,X2)),
inference(superposition,[],[f173,f173]) ).
fof(f173,plain,
! [X0,X1,X6] : double_divide(X0,double_divide(X1,X0)) = double_divide(inverse(X6),double_divide(X1,inverse(X6))),
inference(forward_demodulation,[],[f149,f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X1,X0) = double_divide(inverse(multiply(double_divide(X1,X2),X3)),multiply(double_divide(X6,double_divide(X0,X6)),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(inverse(X3),X5)),multiply(X2,X4))))),
inference(superposition,[],[f5,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X0)) = double_divide(inverse(X4),multiply(double_divide(X5,double_divide(inverse(X0),X5)),multiply(X3,X4))),
inference(superposition,[],[f5,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),multiply(double_divide(X3,double_divide(X1,X3)),multiply(double_divide(X1,X2),X0))) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f4,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),multiply(double_divide(X3,double_divide(X1,X3)),inverse(double_divide(X0,double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f149,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(X0,double_divide(X1,X0)) = double_divide(inverse(X6),double_divide(inverse(multiply(double_divide(X1,X2),X3)),multiply(double_divide(X7,double_divide(inverse(X6),X7)),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(inverse(X3),X5)),multiply(X2,X4)))))),
inference(superposition,[],[f88,f8]) ).
fof(f88,plain,
! [X2,X3,X4,X5] : double_divide(inverse(X3),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(inverse(X3),X5)),multiply(X2,X4)))) = X2,
inference(superposition,[],[f5,f8]) ).
fof(f3185,plain,
! [X2,X3,X0,X4] : multiply(double_divide(X0,double_divide(multiply(X2,X0),multiply(double_divide(X2,X3),X3))),X4) = X4,
inference(superposition,[],[f1834,f3054]) ).
fof(f3054,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X1,X3),X3) = double_divide(multiply(X0,X1),multiply(double_divide(X0,X2),X2)),
inference(forward_demodulation,[],[f3053,f2]) ).
fof(f3053,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X1,X3),X3) = double_divide(inverse(double_divide(X1,X0)),multiply(double_divide(X0,X2),X2)),
inference(forward_demodulation,[],[f2924,f2]) ).
fof(f2924,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X1,X3),X3) = double_divide(inverse(double_divide(X1,X0)),inverse(double_divide(X2,double_divide(X0,X2)))),
inference(superposition,[],[f1919,f290]) ).
fof(f290,plain,
! [X2,X0,X1] : multiply(double_divide(X1,X0),X0) = inverse(double_divide(X2,double_divide(X1,X2))),
inference(superposition,[],[f2,f187]) ).
fof(f1919,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X0,X1),X1) = double_divide(inverse(X2),multiply(double_divide(X3,double_divide(X0,X3)),X2)),
inference(superposition,[],[f5,f1834]) ).
fof(f1834,plain,
! [X3,X4,X5] : multiply(double_divide(X4,multiply(double_divide(X4,X5),X5)),X3) = X3,
inference(superposition,[],[f1633,f84]) ).
fof(f84,plain,
! [X2,X3,X4,X5] : multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(inverse(X2),X3)),X2)) = X3,
inference(superposition,[],[f8,f5]) ).
fof(f1633,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(double_divide(X2,multiply(double_divide(X2,X3),X3)),multiply(X1,X0)),
inference(superposition,[],[f1556,f2]) ).
fof(f1556,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(X1,multiply(double_divide(X1,X2),X2)),inverse(X0)),
inference(superposition,[],[f2,f1509]) ).
fof(f1509,plain,
! [X2,X0,X4] : double_divide(inverse(X4),double_divide(X0,multiply(double_divide(X0,X2),X2))) = X4,
inference(forward_demodulation,[],[f1508,f2]) ).
fof(f1508,plain,
! [X2,X0,X4] : double_divide(inverse(X4),double_divide(X0,inverse(double_divide(X2,double_divide(X0,X2))))) = X4,
inference(forward_demodulation,[],[f1445,f937]) ).
fof(f937,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,inverse(X2)) = multiply(double_divide(X4,double_divide(double_divide(X0,X1),X4)),multiply(double_divide(X3,double_divide(X1,X3)),X2)),
inference(superposition,[],[f84,f259]) ).
fof(f259,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,X3)) = double_divide(double_divide(X1,X0),double_divide(X2,double_divide(X1,X2))),
inference(superposition,[],[f187,f187]) ).
fof(f1445,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X4),multiply(double_divide(X5,double_divide(double_divide(X0,X1),X5)),multiply(double_divide(X3,double_divide(X1,X3)),double_divide(X2,double_divide(X0,X2))))) = X4,
inference(superposition,[],[f400,f259]) ).
fof(f400,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),multiply(double_divide(X3,double_divide(X0,X3)),multiply(double_divide(X0,X2),X2))) = X1,
inference(forward_demodulation,[],[f377,f2]) ).
fof(f377,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),multiply(double_divide(X3,double_divide(X0,X3)),inverse(double_divide(X2,double_divide(X0,X2))))) = X1,
inference(superposition,[],[f5,f290]) ).
fof(f3809,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(double_divide(X2,X3),X3),X2) = double_divide(inverse(X4),multiply(double_divide(X5,double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),X5)),X4)),
inference(superposition,[],[f1919,f3376]) ).
fof(f3376,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,X3),X3) = double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),X2),
inference(superposition,[],[f3185,f416]) ).
fof(f416,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,double_divide(X1,X2)),double_divide(X1,X0)) = multiply(double_divide(X0,X3),X3),
inference(superposition,[],[f372,f187]) ).
fof(f372,plain,
! [X2,X3,X1] : multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,X3),X3),
inference(superposition,[],[f290,f290]) ).
fof(f3890,plain,
! [X2,X3,X4] : double_divide(inverse(X4),multiply(multiply(double_divide(X2,X3),X3),X2)) = X4,
inference(forward_demodulation,[],[f3792,f3362]) ).
fof(f3792,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X4),multiply(double_divide(X5,double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),X5)),multiply(multiply(double_divide(X2,X3),X3),X2))) = X4,
inference(superposition,[],[f400,f3376]) ).
fof(f5512,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(superposition,[],[f5477,f372]) ).
fof(f5477,plain,
! [X2,X1] : multiply(double_divide(inverse(X1),X1),X2) = X2,
inference(forward_demodulation,[],[f5436,f5373]) ).
fof(f5373,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(double_divide(inverse(X2),X2),multiply(X1,X0)),
inference(superposition,[],[f4708,f2]) ).
fof(f4708,plain,
! [X0,X1] : double_divide(double_divide(inverse(X1),X1),inverse(X0)) = X0,
inference(superposition,[],[f4562,f4231]) ).
fof(f4562,plain,
! [X0,X1] : double_divide(X1,double_divide(inverse(inverse(X0)),X1)) = X0,
inference(superposition,[],[f4231,f173]) ).
fof(f5436,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(inverse(X0),X0),multiply(X1,inverse(X1))),X2) = X2,
inference(superposition,[],[f1834,f4708]) ).
fof(f5891,plain,
! [X2,X3,X0,X1] : inverse(X2) = multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),double_divide(inverse(X3),X3))),
inference(superposition,[],[f5627,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] : inverse(X4) = multiply(multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),double_divide(X0,X1))),multiply(X1,X0)),
inference(superposition,[],[f9,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : multiply(multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X0)),inverse(X0)) = inverse(X3),
inference(superposition,[],[f2,f5]) ).
fof(f5627,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f5512,f4685]) ).
fof(f4685,plain,
! [X0,X1] : double_divide(inverse(X1),multiply(X0,inverse(X0))) = X1,
inference(forward_demodulation,[],[f4609,f4572]) ).
fof(f4572,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(inverse(inverse(X0)),X1),X1),
inference(superposition,[],[f199,f4231]) ).
fof(f199,plain,
! [X2,X0,X1] : multiply(double_divide(X1,X0),X0) = inverse(double_divide(inverse(X2),double_divide(X1,inverse(X2)))),
inference(superposition,[],[f2,f173]) ).
fof(f4609,plain,
! [X2,X0,X1] : double_divide(inverse(X1),multiply(X0,multiply(double_divide(inverse(inverse(X0)),X2),X2))) = X1,
inference(superposition,[],[f400,f4231]) ).
fof(f5901,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X0)) = double_divide(X0,multiply(X1,inverse(X1))),
inference(superposition,[],[f5627,f416]) ).
fof(f5957,plain,
! [X0,X1] : inverse(double_divide(X0,multiply(X1,inverse(X1)))) = X0,
inference(superposition,[],[f4892,f5627]) ).
fof(f4892,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,X1),X1)) = X0,
inference(superposition,[],[f4685,f3878]) ).
fof(f3878,plain,
! [X2,X3,X4] : double_divide(inverse(X4),multiply(multiply(double_divide(X2,X3),X3),X4)) = X2,
inference(forward_demodulation,[],[f3755,f3362]) ).
fof(f3755,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X4),multiply(double_divide(X5,double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),X5)),multiply(multiply(double_divide(X2,X3),X3),X4))) = X2,
inference(superposition,[],[f5,f3376]) ).
fof(f5286,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[],[f5178,f2]) ).
fof(f5178,plain,
! [X0,X1] : multiply(inverse(double_divide(inverse(X0),X0)),X1) = X1,
inference(superposition,[],[f1834,f4686]) ).
fof(f4686,plain,
! [X2,X0] : inverse(X0) = double_divide(inverse(X2),multiply(X0,X2)),
inference(forward_demodulation,[],[f4613,f4572]) ).
fof(f4613,plain,
! [X2,X0,X1] : multiply(double_divide(inverse(inverse(X0)),X1),X1) = double_divide(inverse(X2),multiply(X0,X2)),
inference(superposition,[],[f1919,f4231]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP500-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 04:29:51 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % (17493)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (17498)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)
% 0.12/0.34 % (17496)WARNING: value z3 for option sas not known
% 0.12/0.34 % (17495)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.34 % (17494)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.34 % (17496)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)
% 0.12/0.34 % (17497)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34 % (17499)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)
% 0.12/0.34 % (17500)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)
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [3]
% 0.12/0.35 TRYING [3]
% 0.12/0.36 TRYING [4]
% 0.19/0.41 TRYING [4]
% 0.19/0.50 % (17500)First to succeed.
% 0.19/0.50 % (17500)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (17500)------------------------------
% 0.19/0.50 % (17500)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.50 % (17500)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (17500)Memory used [KB]: 4722
% 0.19/0.50 % (17500)Time elapsed: 0.160 s
% 0.19/0.50 % (17500)Instructions burned: 470 (million)
% 0.19/0.50 % (17500)------------------------------
% 0.19/0.50 % (17500)------------------------------
% 0.19/0.50 % (17493)Success in time 0.175 s
%------------------------------------------------------------------------------