TSTP Solution File: GRP606-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP606-1 : 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 : 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 : Tue Apr 30 12:07:43 EDT 2024
% Result : Unsatisfiable 0.16s 0.37s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1689,plain,
$false,
inference(subsumption_resolution,[],[f1688,f1485]) ).
fof(f1485,plain,
! [X0,X1] : multiply(double_divide(X1,inverse(X1)),X0) = X0,
inference(forward_demodulation,[],[f1433,f951]) ).
fof(f951,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = double_divide(X0,inverse(X1)),
inference(superposition,[],[f56,f921]) ).
fof(f921,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f887,f67]) ).
fof(f67,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(inverse(X1)),inverse(multiply(X1,inverse(X0)))),
inference(superposition,[],[f51,f49]) ).
fof(f49,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X1),inverse(multiply(X0,inverse(X1)))),
inference(superposition,[],[f47,f47]) ).
fof(f47,plain,
! [X0,X1] : inverse(X1) = multiply(multiply(X0,inverse(X1)),inverse(X0)),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X0,inverse(X1))) = X1,
inference(superposition,[],[f6,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X1,multiply(multiply(double_divide(X0,X1),inverse(X2)),X0)),
inference(superposition,[],[f2,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(multiply(multiply(double_divide(X0,X2),inverse(X1)),X0),X2) = X1,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(double_divide(inverse(X1),double_divide(X0,X2))),X0),X2) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(multiply(multiply(X2,inverse(X3)),multiply(multiply(double_divide(X0,X1),inverse(X2)),X0)),X1) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f51,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1)) = X0,
inference(superposition,[],[f34,f47]) ).
fof(f887,plain,
! [X0,X1] : double_divide(X1,inverse(multiply(X0,X1))) = X0,
inference(superposition,[],[f869,f355]) ).
fof(f355,plain,
! [X2,X1] : multiply(multiply(X2,X1),inverse(X2)) = X1,
inference(superposition,[],[f48,f328]) ).
fof(f328,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X1))) = X0,
inference(superposition,[],[f74,f51]) ).
fof(f74,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = double_divide(inverse(multiply(X1,X0)),inverse(X2)),
inference(superposition,[],[f56,f2]) ).
fof(f48,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(X2,multiply(X1,X0)),inverse(X2)),
inference(superposition,[],[f47,f2]) ).
fof(f869,plain,
! [X2,X1] : double_divide(multiply(X1,inverse(X2)),inverse(X1)) = X2,
inference(forward_demodulation,[],[f862,f574]) ).
fof(f574,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X1)) = X0,
inference(superposition,[],[f328,f500]) ).
fof(f500,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = multiply(X1,inverse(X1)),
inference(superposition,[],[f328,f345]) ).
fof(f345,plain,
! [X0,X1] : inverse(X1) = multiply(double_divide(inverse(X0),X0),inverse(X1)),
inference(superposition,[],[f328,f8]) ).
fof(f862,plain,
! [X2,X0,X1] : double_divide(multiply(multiply(X1,inverse(X2)),double_divide(inverse(X0),X0)),inverse(X1)) = X2,
inference(superposition,[],[f5,f575]) ).
fof(f575,plain,
! [X2,X1] : double_divide(double_divide(inverse(X1),X1),inverse(X2)) = X2,
inference(superposition,[],[f489,f500]) ).
fof(f489,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[],[f40,f345]) ).
fof(f40,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X0),multiply(double_divide(X0,X1),inverse(X2))) = X2,
inference(superposition,[],[f34,f2]) ).
fof(f56,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(inverse(X1)),inverse(X0)),
inference(superposition,[],[f51,f47]) ).
fof(f1433,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(superposition,[],[f923,f549]) ).
fof(f549,plain,
! [X2,X1] : multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(superposition,[],[f500,f500]) ).
fof(f923,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f887,f359]) ).
fof(f359,plain,
! [X2,X1] : multiply(X2,X1) = double_divide(inverse(X1),inverse(X2)),
inference(superposition,[],[f74,f328]) ).
fof(f1688,plain,
a2 != multiply(double_divide(b2,inverse(b2)),a2),
inference(forward_demodulation,[],[f1575,f951]) ).
fof(f1575,plain,
a2 != multiply(multiply(b2,inverse(b2)),a2),
inference(superposition,[],[f3,f1442]) ).
fof(f1442,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f923,f355]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GRP606-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n012.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 : Tue Apr 30 04:28:41 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % (22312)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (22315)WARNING: value z3 for option sas not known
% 0.16/0.33 % (22313)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (22318)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)
% 0.16/0.33 % (22315)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)
% 0.16/0.33 % (22314)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (22316)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (22319)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)
% 0.16/0.33 % (22317)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [4]
% 0.16/0.36 TRYING [4]
% 0.16/0.36 % (22319)First to succeed.
% 0.16/0.37 % (22319)Refutation found. Thanks to Tanya!
% 0.16/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.37 % (22319)------------------------------
% 0.16/0.37 % (22319)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.37 % (22319)Termination reason: Refutation
% 0.16/0.37
% 0.16/0.37 % (22319)Memory used [KB]: 1429
% 0.16/0.37 % (22319)Time elapsed: 0.040 s
% 0.16/0.37 % (22319)Instructions burned: 80 (million)
% 0.16/0.37 % (22319)------------------------------
% 0.16/0.37 % (22319)------------------------------
% 0.16/0.37 % (22312)Success in time 0.054 s
%------------------------------------------------------------------------------