TSTP Solution File: GRP590-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP590-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 May 20 21:31:28 EDT 2024
% Result : Unsatisfiable 0.15s 0.34s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f760,plain,
$false,
inference(trivial_inequality_removal,[],[f747]) ).
fof(f747,plain,
a2 != a2,
inference(superposition,[],[f360,f676]) ).
fof(f676,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[],[f463,f57]) ).
fof(f57,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[],[f40,f53]) ).
fof(f53,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X1),multiply(inverse(X0),X0)),
inference(superposition,[],[f2,f40]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f40,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),X1),inverse(X0)) = X0,
inference(superposition,[],[f7,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : inverse(X0) = multiply(X2,multiply(multiply(inverse(X0),X1),double_divide(X1,X2))),
inference(superposition,[],[f2,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(multiply(multiply(inverse(X2),X0),double_divide(X0,X1)),X1) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(double_divide(X0,inverse(X2))),double_divide(X0,X1)),X1) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(multiply(multiply(inverse(X3),multiply(multiply(inverse(X0),X1),double_divide(X1,X2))),X0),X2) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f463,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))) = X0,
inference(superposition,[],[f220,f239]) ).
fof(f239,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(inverse(X0),X1)),
inference(superposition,[],[f2,f220]) ).
fof(f220,plain,
! [X3,X0] : double_divide(multiply(inverse(X3),X0),inverse(X0)) = X3,
inference(forward_demodulation,[],[f197,f8]) ).
fof(f197,plain,
! [X2,X3,X0,X1] : double_divide(multiply(inverse(X3),X0),multiply(X2,multiply(multiply(inverse(X0),X1),double_divide(X1,X2)))) = X3,
inference(superposition,[],[f172,f5]) ).
fof(f172,plain,
! [X2,X3,X1] : double_divide(multiply(inverse(X3),double_divide(X2,X1)),multiply(X1,X2)) = X3,
inference(forward_demodulation,[],[f159,f53]) ).
fof(f159,plain,
! [X2,X3,X0,X1] : double_divide(multiply(multiply(inverse(X3),multiply(inverse(X0),X0)),double_divide(X2,X1)),multiply(X1,X2)) = X3,
inference(superposition,[],[f5,f47]) ).
fof(f47,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(multiply(inverse(X2),X2),multiply(X1,X0)),
inference(superposition,[],[f40,f2]) ).
fof(f360,plain,
! [X0] : a2 != multiply(inverse(multiply(inverse(X0),X0)),a2),
inference(superposition,[],[f326,f53]) ).
fof(f326,plain,
! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
inference(superposition,[],[f3,f283]) ).
fof(f283,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f236,f57]) ).
fof(f236,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[],[f220,f53]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP590-1 : TPTP v8.2.0. Released v2.6.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30 % Computer : n010.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sun May 19 04:53:07 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % (18422)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (18425)WARNING: value z3 for option sas not known
% 0.15/0.32 % (18424)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (18425)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)
% 0.15/0.32 % (18426)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 % (18428)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)
% 0.15/0.33 TRYING [4]
% 0.15/0.33 % (18427)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)
% 0.15/0.34 % (18423)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 % (18425)First to succeed.
% 0.15/0.34 % (18425)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18422"
% 0.15/0.34 % (18425)Refutation found. Thanks to Tanya!
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34 % (18425)------------------------------
% 0.15/0.34 % (18425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.34 % (18425)Termination reason: Refutation
% 0.15/0.34
% 0.15/0.34 % (18425)Memory used [KB]: 1172
% 0.15/0.34 % (18425)Time elapsed: 0.024 s
% 0.15/0.34 % (18425)Instructions burned: 48 (million)
% 0.15/0.34 % (18422)Success in time 0.038 s
%------------------------------------------------------------------------------