TSTP Solution File: GRP467-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP467-1 : 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 : n011.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 12:07:04 EDT 2024
% Result : Unsatisfiable 0.22s 0.56s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 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 : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10382,plain,
$false,
inference(trivial_inequality_removal,[],[f10377]) ).
fof(f10377,plain,
a2 != a2,
inference(superposition,[],[f5294,f10045]) ).
fof(f10045,plain,
! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
inference(forward_demodulation,[],[f9769,f8112]) ).
fof(f8112,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f8049,f4431]) ).
fof(f4431,plain,
! [X2,X3,X0] : divide(divide(X3,X3),divide(X2,multiply(X0,X2))) = X0,
inference(superposition,[],[f4,f4345]) ).
fof(f4345,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(X1,X2)),X1) = multiply(X0,X2),
inference(forward_demodulation,[],[f4344,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f4344,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(X1,X2)),X1) = divide(X0,inverse(X2)),
inference(forward_demodulation,[],[f4327,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(multiply(inverse(X3),X3),divide(X1,multiply(divide(X2,X2),X0))),
inference(superposition,[],[f5,f42]) ).
fof(f42,plain,
! [X4,X5] : divide(X4,X4) = divide(X5,X5),
inference(superposition,[],[f8,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : divide(X0,X0) = divide(divide(X4,X4),divide(multiply(divide(X2,divide(X3,X1)),X3),multiply(X2,X1))),
inference(superposition,[],[f4,f4]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(superposition,[],[f4,f2]) ).
fof(f4327,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(X0,divide(X1,X2)),X1) = divide(multiply(inverse(X4),X4),divide(inverse(X2),multiply(divide(X3,X3),X0))),
inference(superposition,[],[f9,f2357]) ).
fof(f2357,plain,
! [X2,X3,X1,X4] : divide(X4,X4) = divide(multiply(divide(X2,divide(X3,X1)),X3),multiply(X2,X1)),
inference(superposition,[],[f182,f4]) ).
fof(f182,plain,
! [X2,X3,X1,X4] : divide(X4,X4) = divide(X3,multiply(divide(divide(X1,X1),divide(X2,X3)),X2)),
inference(superposition,[],[f73,f8]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(divide(X3,X3),divide(X1,multiply(divide(X2,X2),X0))),
inference(superposition,[],[f4,f42]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(X2),X2),divide(inverse(X1),multiply(divide(X3,multiply(X0,X1)),X0))) = X3,
inference(superposition,[],[f5,f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f8049,plain,
! [X2,X3,X0,X1] : divide(X0,divide(X1,X1)) = divide(divide(X3,X3),divide(X2,multiply(X0,X2))),
inference(superposition,[],[f4431,f4362]) ).
fof(f4362,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(divide(X2,divide(X1,X1)),X0),
inference(superposition,[],[f4345,f42]) ).
fof(f9769,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X1)) = multiply(X2,divide(X0,X0)),
inference(superposition,[],[f2,f8721]) ).
fof(f8721,plain,
! [X2,X1] : divide(X2,X2) = inverse(divide(X1,X1)),
inference(superposition,[],[f8461,f258]) ).
fof(f258,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(divide(X2,X2),divide(X1,X1)),
inference(superposition,[],[f4,f185]) ).
fof(f185,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,multiply(divide(X0,X0),X1)),
inference(superposition,[],[f73,f42]) ).
fof(f8461,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f4431,f8069]) ).
fof(f8069,plain,
! [X2,X1] : divide(X2,multiply(inverse(X1),X1)) = X2,
inference(superposition,[],[f4431,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(divide(X2,X2),divide(inverse(X1),multiply(divide(X3,multiply(X0,X1)),X0))) = X3,
inference(superposition,[],[f4,f2]) ).
fof(f5294,plain,
! [X2,X1] : a2 != multiply(a2,divide(divide(X1,X1),divide(X2,X2))),
inference(superposition,[],[f5252,f258]) ).
fof(f5252,plain,
! [X0] : a2 != multiply(a2,divide(X0,X0)),
inference(superposition,[],[f4463,f4362]) ).
fof(f4463,plain,
! [X0] : a2 != multiply(divide(a2,X0),X0),
inference(superposition,[],[f96,f4345]) ).
fof(f96,plain,
! [X0] : a2 != multiply(divide(X0,X0),a2),
inference(superposition,[],[f3,f56]) ).
fof(f56,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[],[f42,f2]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP467-1 : 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 : n011.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 04:34:46 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (21781)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (21785)WARNING: value z3 for option sas not known
% 0.15/0.38 % (21786)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (21783)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (21787)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 % (21785)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 % (21788)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 % (21789)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 % (21784)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 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.41 TRYING [4]
% 0.22/0.45 TRYING [5]
% 0.22/0.55 % (21789)First to succeed.
% 0.22/0.56 % (21789)Refutation found. Thanks to Tanya!
% 0.22/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.56 % (21789)------------------------------
% 0.22/0.56 % (21789)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.56 % (21789)Termination reason: Refutation
% 0.22/0.56
% 0.22/0.56 % (21789)Memory used [KB]: 4596
% 0.22/0.56 % (21789)Time elapsed: 0.174 s
% 0.22/0.56 % (21789)Instructions burned: 463 (million)
% 0.22/0.56 % (21789)------------------------------
% 0.22/0.56 % (21789)------------------------------
% 0.22/0.56 % (21781)Success in time 0.187 s
%------------------------------------------------------------------------------