TSTP Solution File: BOO034-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO034-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : Sun May 5 04:42:53 EDT 2024
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4706,plain,
$false,
inference(subsumption_resolution,[],[f4705,f5]) ).
fof(f5,axiom,
! [X2,X3] : multiply(X2,X3,inverse(X3)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f4705,plain,
b != multiply(b,multiply(c,d,multiply(e,f,g)),inverse(multiply(c,d,multiply(e,f,g)))),
inference(forward_demodulation,[],[f4704,f4391]) ).
fof(f4391,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X0,X2,X1),
inference(forward_demodulation,[],[f4390,f102]) ).
fof(f102,plain,
! [X0,X1] : multiply(X1,inverse(X1),X0) = X0,
inference(superposition,[],[f32,f5]) ).
fof(f32,plain,
! [X2,X0,X1] : multiply(X2,X0,X1) = multiply(X0,X1,multiply(X2,X0,X1)),
inference(superposition,[],[f7,f2]) ).
fof(f2,axiom,
! [X2,X3] : multiply(X3,X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ternary_multiply_1) ).
fof(f7,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,multiply(X1,X2,X3)) = multiply(X1,X2,multiply(X0,X1,X3)),
inference(superposition,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f4390,plain,
! [X2,X0,X1] : multiply(X0,X2,X1) = multiply(X0,X1,multiply(X1,inverse(X1),X2)),
inference(forward_demodulation,[],[f4125,f1536]) ).
fof(f1536,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X2,X0,X1),
inference(forward_demodulation,[],[f1500,f5]) ).
fof(f1500,plain,
! [X2,X0,X1] : multiply(X2,X0,X1) = multiply(X0,X1,multiply(X2,X0,inverse(X0))),
inference(superposition,[],[f7,f1409]) ).
fof(f1409,plain,
! [X0,X1] : multiply(X0,X1,inverse(X0)) = X1,
inference(superposition,[],[f1366,f116]) ).
fof(f116,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f102,f5]) ).
fof(f1366,plain,
! [X0,X1] : multiply(inverse(X1),X0,X1) = X0,
inference(superposition,[],[f1255,f32]) ).
fof(f1255,plain,
! [X2,X0,X1] : multiply(X0,X1,multiply(inverse(X1),X0,X2)) = X0,
inference(superposition,[],[f18,f5]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,X2) = multiply(X0,X1,multiply(X2,multiply(X0,X1,X2),X3)),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
! [X2,X3] : multiply(X2,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ternary_multiply_2) ).
fof(f4125,plain,
! [X2,X0,X1] : multiply(X0,X2,X1) = multiply(X0,X1,multiply(inverse(X1),X2,X1)),
inference(superposition,[],[f10,f2]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,multiply(inverse(X1),X2,X3)) = multiply(X0,X2,multiply(X0,X1,X3)),
inference(superposition,[],[f1,f5]) ).
fof(f4704,plain,
b != multiply(b,multiply(c,d,multiply(e,g,f)),inverse(multiply(c,d,multiply(e,f,g)))),
inference(forward_demodulation,[],[f4703,f1536]) ).
fof(f4703,plain,
b != multiply(b,multiply(c,d,multiply(g,f,e)),inverse(multiply(c,d,multiply(e,f,g)))),
inference(forward_demodulation,[],[f4598,f1536]) ).
fof(f4598,plain,
b != multiply(b,multiply(d,multiply(g,f,e),c),inverse(multiply(c,d,multiply(e,f,g)))),
inference(superposition,[],[f134,f4391]) ).
fof(f134,plain,
b != multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)),
inference(forward_demodulation,[],[f133,f102]) ).
fof(f133,plain,
b != multiply(multiply(a,inverse(a),b),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f6,axiom,
b != multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_single_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO034-1 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:46:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (3114)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (3117)WARNING: value z3 for option sas not known
% 0.21/0.37 % (3120)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)
% 0.21/0.37 % (3117)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)
% 0.21/0.37 % (3116)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (3118)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (3121)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)
% 0.21/0.37 % (3115)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (3119)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [3]
% 0.21/0.40 TRYING [4]
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.50 TRYING [4]
% 0.21/0.51 % (3117)First to succeed.
% 0.21/0.51 % (3117)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3114"
% 0.21/0.51 % (3117)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (3117)------------------------------
% 0.21/0.51 % (3117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.51 % (3117)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (3117)Memory used [KB]: 2756
% 0.21/0.51 % (3117)Time elapsed: 0.139 s
% 0.21/0.51 % (3117)Instructions burned: 272 (million)
% 0.21/0.51 % (3114)Success in time 0.156 s
%------------------------------------------------------------------------------