TSTP Solution File: GRP587-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP587-1 : 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 : n029.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 12:07:39 EDT 2024
% Result : Unsatisfiable 2.96s 0.81s
% Output : Refutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 164 ( 164 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23684,plain,
$false,
inference(subsumption_resolution,[],[f23090,f21426]) ).
fof(f21426,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[],[f4091,f1354]) ).
fof(f1354,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f923,f359]) ).
fof(f359,plain,
! [X2,X1] : multiply(inverse(X2),multiply(X1,X2)) = X1,
inference(superposition,[],[f49,f328]) ).
fof(f328,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f75,f51]) ).
fof(f51,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))) = X0,
inference(superposition,[],[f34,f47]) ).
fof(f47,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(inverse(X0),X1)),
inference(superposition,[],[f2,f34]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f34,plain,
! [X2,X1] : double_divide(multiply(inverse(X2),X1),inverse(X1)) = X2,
inference(superposition,[],[f7,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),X0),
inference(superposition,[],[f2,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1)))) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,inverse(double_divide(double_divide(X0,X1),inverse(X2))))) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2))) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f75,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = double_divide(inverse(X2),inverse(multiply(X1,X0))),
inference(superposition,[],[f57,f2]) ).
fof(f57,plain,
! [X0,X1] : multiply(inverse(X1),X0) = double_divide(inverse(X0),inverse(inverse(X1))),
inference(superposition,[],[f51,f47]) ).
fof(f49,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(inverse(X2),multiply(multiply(X1,X0),X2)),
inference(superposition,[],[f47,f2]) ).
fof(f923,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f888,f362]) ).
fof(f362,plain,
! [X2,X1] : multiply(X1,X2) = double_divide(inverse(X2),inverse(X1)),
inference(superposition,[],[f75,f328]) ).
fof(f888,plain,
! [X0,X1] : double_divide(inverse(multiply(X1,X0)),X1) = X0,
inference(superposition,[],[f869,f359]) ).
fof(f869,plain,
! [X2,X0] : double_divide(inverse(X0),multiply(inverse(X2),X0)) = X2,
inference(forward_demodulation,[],[f861,f573]) ).
fof(f573,plain,
! [X0,X1] : multiply(double_divide(X1,inverse(X1)),X0) = X0,
inference(superposition,[],[f328,f498]) ).
fof(f498,plain,
! [X0,X1] : double_divide(X1,inverse(X1)) = multiply(inverse(X0),X0),
inference(superposition,[],[f328,f345]) ).
fof(f345,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X1),double_divide(X0,inverse(X0))),
inference(superposition,[],[f328,f8]) ).
fof(f861,plain,
! [X2,X0,X1] : double_divide(inverse(X0),multiply(double_divide(X1,inverse(X1)),multiply(inverse(X2),X0))) = X2,
inference(superposition,[],[f5,f565]) ).
fof(f565,plain,
! [X2,X1] : double_divide(inverse(X2),double_divide(X1,inverse(X1))) = X2,
inference(superposition,[],[f487,f498]) ).
fof(f487,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f41,f345]) ).
fof(f41,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X2),double_divide(X0,X1)),multiply(X1,X0)) = X2,
inference(superposition,[],[f34,f2]) ).
fof(f4091,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[],[f4090,f878]) ).
fof(f878,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f869,f361]) ).
fof(f361,plain,
! [X2,X1] : inverse(X2) = multiply(inverse(multiply(X1,X2)),X1),
inference(superposition,[],[f66,f328]) ).
fof(f66,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(multiply(X1,X0),X2)),multiply(X1,X0)),
inference(superposition,[],[f50,f2]) ).
fof(f50,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
inference(superposition,[],[f47,f47]) ).
fof(f4090,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = double_divide(inverse(X2),inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f4089,f1140]) ).
fof(f1140,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = double_divide(inverse(X2),double_divide(X1,X0)),
inference(superposition,[],[f1023,f40]) ).
fof(f40,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(multiply(multiply(X1,X0),X2),inverse(X2)),
inference(superposition,[],[f34,f2]) ).
fof(f1023,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f1006,f1006]) ).
fof(f1006,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f1005,f920]) ).
fof(f920,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f888,f67]) ).
fof(f67,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(multiply(inverse(X0),X1)),inverse(inverse(X1))),
inference(superposition,[],[f51,f50]) ).
fof(f1005,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(inverse(X1))),X0) = X1,
inference(forward_demodulation,[],[f955,f998]) ).
fof(f998,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[],[f948,f945]) ).
fof(f945,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(superposition,[],[f920,f2]) ).
fof(f948,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(X0,inverse(X1)),
inference(superposition,[],[f64,f920]) ).
fof(f64,plain,
! [X0,X1] : inverse(multiply(inverse(X1),X0)) = multiply(inverse(inverse(X1)),inverse(X0)),
inference(superposition,[],[f50,f47]) ).
fof(f955,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),inverse(X0)),X0) = X1,
inference(superposition,[],[f34,f920]) ).
fof(f4089,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(multiply(X1,X0))) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(forward_demodulation,[],[f4088,f920]) ).
fof(f4088,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(multiply(X1,X0))) = double_divide(inverse(X0),double_divide(X2,inverse(inverse(X1)))),
inference(forward_demodulation,[],[f4087,f998]) ).
fof(f4087,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(multiply(X1,X0))) = double_divide(inverse(X0),multiply(inverse(X1),inverse(X2))),
inference(forward_demodulation,[],[f3948,f86]) ).
fof(f86,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X1),double_divide(X2,X0)),X0) = double_divide(inverse(X1),inverse(X2)),
inference(superposition,[],[f40,f8]) ).
fof(f3948,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),multiply(inverse(X1),inverse(X2))) = double_divide(multiply(inverse(X2),double_divide(multiply(X1,X0),X3)),X3),
inference(superposition,[],[f14,f362]) ).
fof(f14,plain,
! [X2,X3,X0,X1] : double_divide(multiply(inverse(X1),double_divide(double_divide(X2,X3),X0)),X0) = double_divide(X2,multiply(X3,inverse(X1))),
inference(superposition,[],[f6,f8]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = double_divide(X2,multiply(X3,multiply(multiply(X1,X0),double_divide(X2,X3)))),
inference(superposition,[],[f5,f2]) ).
fof(f23090,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(b3,a3)),
inference(superposition,[],[f3,f17954]) ).
fof(f17954,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f17953,f2]) ).
fof(f17953,plain,
! [X2,X0,X1] : multiply(inverse(double_divide(X0,X1)),X2) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f17716,f4086]) ).
fof(f4086,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f4085,f878]) ).
fof(f4085,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = double_divide(inverse(X2),inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f4084,f1140]) ).
fof(f4084,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(multiply(X0,X1))) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(forward_demodulation,[],[f4083,f920]) ).
fof(f4083,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(multiply(X0,X1))) = double_divide(inverse(X0),double_divide(X2,inverse(inverse(X1)))),
inference(forward_demodulation,[],[f4082,f998]) ).
fof(f4082,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(multiply(X0,X1))) = double_divide(inverse(X0),multiply(inverse(X1),inverse(X2))),
inference(forward_demodulation,[],[f3947,f86]) ).
fof(f3947,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),multiply(inverse(X1),inverse(X2))) = double_divide(multiply(inverse(X2),double_divide(multiply(X0,X1),X3)),X3),
inference(superposition,[],[f14,f878]) ).
fof(f17716,plain,
! [X2,X0,X1] : multiply(inverse(double_divide(X0,X1)),X2) = multiply(multiply(X1,X2),X0),
inference(superposition,[],[f355,f328]) ).
fof(f355,plain,
! [X2,X3,X1] : multiply(multiply(X2,multiply(X1,double_divide(X3,X2))),X3) = X1,
inference(superposition,[],[f9,f328]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : multiply(X1,X0) = multiply(multiply(X2,multiply(multiply(X1,X0),double_divide(X3,X2))),X3),
inference(superposition,[],[f8,f2]) ).
fof(f3,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
% 0.12/0.13 % Problem : GRP587-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:52:50 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (5754)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (5759)WARNING: value z3 for option sas not known
% 0.15/0.38 % (5758)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (5760)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (5757)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (5759)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)
% 0.15/0.38 % (5761)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)
% 0.15/0.38 % (5762)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)
% 0.15/0.38 % (5763)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.23/0.43 TRYING [4]
% 0.23/0.50 TRYING [5]
% 2.96/0.81 % (5763)First to succeed.
% 2.96/0.81 % (5763)Refutation found. Thanks to Tanya!
% 2.96/0.81 % SZS status Unsatisfiable for theBenchmark
% 2.96/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 2.96/0.81 % (5763)------------------------------
% 2.96/0.81 % (5763)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.96/0.81 % (5763)Termination reason: Refutation
% 2.96/0.81
% 2.96/0.81 % (5763)Memory used [KB]: 8410
% 2.96/0.81 % (5763)Time elapsed: 0.429 s
% 2.96/0.81 % (5763)Instructions burned: 1243 (million)
% 2.96/0.81 % (5763)------------------------------
% 2.96/0.81 % (5763)------------------------------
% 2.96/0.81 % (5754)Success in time 0.434 s
%------------------------------------------------------------------------------