TSTP Solution File: GRP486-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP486-1 : 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 : n007.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 12:07:19 EDT 2024
% Result : Unsatisfiable 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 81 ( 81 unt; 0 def)
% Number of atoms : 81 ( 80 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 128 ( 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5122,plain,
$false,
inference(trivial_inequality_removal,[],[f5092]) ).
fof(f5092,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f4301]) ).
fof(f4301,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f4236,f4235]) ).
fof(f4235,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X3),double_divide(X3,double_divide(X2,X1))),
inference(superposition,[],[f3025,f815]) ).
fof(f815,plain,
! [X2,X0,X1] : multiply(multiply(X2,multiply(X1,X0)),double_divide(X0,X1)) = X2,
inference(superposition,[],[f790,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f790,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f401,f2]) ).
fof(f401,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,inverse(X0))),identity) = X1,
inference(forward_demodulation,[],[f400,f11]) ).
fof(f400,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(double_divide(inverse(X0),X1))),identity) = X1,
inference(forward_demodulation,[],[f355,f3]) ).
fof(f355,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),identity)),identity) = X1,
inference(backward_demodulation,[],[f52,f350]) ).
fof(f350,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f349,f263]) ).
fof(f263,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[],[f254,f3]) ).
fof(f254,plain,
identity = double_divide(double_divide(identity,identity),inverse(identity)),
inference(superposition,[],[f207,f21]) ).
fof(f21,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f15]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f207,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(inverse(identity),multiply(identity,X0))),inverse(identity)),
inference(forward_demodulation,[],[f190,f15]) ).
fof(f190,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(inverse(identity),inverse(inverse(X0)))),inverse(identity)),
inference(superposition,[],[f59,f13]) ).
fof(f13,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X0] : double_divide(identity,identity) = multiply(inverse(X0),X0),
inference(superposition,[],[f2,f4]) ).
fof(f59,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)),
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f349,plain,
inverse(identity) = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[],[f348,f3]) ).
fof(f348,plain,
inverse(identity) = double_divide(double_divide(identity,identity),inverse(identity)),
inference(forward_demodulation,[],[f333,f4]) ).
fof(f333,plain,
inverse(identity) = double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),
inference(superposition,[],[f52,f263]) ).
fof(f52,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity)) = X1,
inference(superposition,[],[f7,f3]) ).
fof(f3025,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X2,X1),X0),double_divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f2960,f1937]) ).
fof(f1937,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(superposition,[],[f1400,f927]) ).
fof(f927,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f14,f901]) ).
fof(f901,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f900,f584]) ).
fof(f584,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(superposition,[],[f431,f2]) ).
fof(f431,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(forward_demodulation,[],[f430,f11]) ).
fof(f430,plain,
! [X0] : double_divide(double_divide(identity,inverse(double_divide(identity,X0))),identity) = X0,
inference(forward_demodulation,[],[f429,f3]) ).
fof(f429,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(forward_demodulation,[],[f396,f392]) ).
fof(f392,plain,
identity = multiply(identity,identity),
inference(backward_demodulation,[],[f277,f350]) ).
fof(f277,plain,
inverse(identity) = multiply(inverse(identity),inverse(identity)),
inference(superposition,[],[f11,f263]) ).
fof(f396,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(double_divide(identity,X0),multiply(identity,identity))),identity) = X0,
inference(backward_demodulation,[],[f300,f350]) ).
fof(f300,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(double_divide(identity,X0),multiply(identity,identity))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f295,f15]) ).
fof(f295,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(double_divide(identity,X0),inverse(inverse(identity)))),inverse(identity)) = X0,
inference(superposition,[],[f7,f289]) ).
fof(f289,plain,
identity = double_divide(multiply(identity,identity),inverse(identity)),
inference(forward_demodulation,[],[f288,f15]) ).
fof(f288,plain,
identity = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f287,f3]) ).
fof(f287,plain,
identity = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
inference(forward_demodulation,[],[f284,f4]) ).
fof(f284,plain,
identity = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(inverse(identity)))),inverse(identity)),
inference(superposition,[],[f59,f277]) ).
fof(f900,plain,
! [X0] : multiply(identity,multiply(multiply(X0,identity),identity)) = X0,
inference(forward_demodulation,[],[f885,f11]) ).
fof(f885,plain,
! [X0] : multiply(identity,inverse(double_divide(identity,multiply(X0,identity)))) = X0,
inference(superposition,[],[f832,f607]) ).
fof(f607,plain,
! [X0] : identity = multiply(X0,double_divide(identity,multiply(X0,identity))),
inference(superposition,[],[f354,f584]) ).
fof(f354,plain,
! [X0,X1] : identity = multiply(multiply(X1,X0),double_divide(X0,X1)),
inference(backward_demodulation,[],[f28,f350]) ).
fof(f28,plain,
! [X0,X1] : inverse(identity) = multiply(multiply(X1,X0),double_divide(X0,X1)),
inference(superposition,[],[f13,f11]) ).
fof(f832,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(backward_demodulation,[],[f820,f831]) ).
fof(f831,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(identity,X1)),
inference(forward_demodulation,[],[f821,f15]) ).
fof(f821,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(superposition,[],[f790,f790]) ).
fof(f820,plain,
! [X0,X1] : multiply(multiply(X1,multiply(identity,X0)),inverse(X0)) = X1,
inference(superposition,[],[f790,f15]) ).
fof(f14,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f1400,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f1362,f1303]) ).
fof(f1303,plain,
! [X0,X1] : multiply(X1,double_divide(X1,inverse(X0))) = X0,
inference(superposition,[],[f1188,f1149]) ).
fof(f1149,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f1128,f927]) ).
fof(f1128,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X0,X1))) = X1,
inference(superposition,[],[f916,f832]) ).
fof(f916,plain,
! [X0,X1] : double_divide(multiply(X1,inverse(X0)),inverse(X1)) = X0,
inference(backward_demodulation,[],[f413,f901]) ).
fof(f413,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(forward_demodulation,[],[f412,f15]) ).
fof(f412,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(forward_demodulation,[],[f384,f3]) ).
fof(f384,plain,
! [X0,X1] : double_divide(inverse(X0),identity) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(backward_demodulation,[],[f212,f350]) ).
fof(f212,plain,
! [X0,X1] : double_divide(multiply(X1,inverse(X0)),inverse(X1)) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f200,f3]) ).
fof(f200,plain,
! [X0,X1] : double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[],[f7,f59]) ).
fof(f1188,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(backward_demodulation,[],[f790,f1170]) ).
fof(f1170,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[],[f1149,f916]) ).
fof(f1362,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(forward_demodulation,[],[f1355,f11]) ).
fof(f1355,plain,
! [X0,X1] : multiply(X1,inverse(double_divide(X0,inverse(X1)))) = X0,
inference(superposition,[],[f832,f1303]) ).
fof(f2960,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(X1,X2),inverse(X0)),double_divide(X0,X1)) = X2,
inference(superposition,[],[f1237,f1178]) ).
fof(f1178,plain,
! [X0,X1] : inverse(X1) = multiply(double_divide(X1,X0),X0),
inference(superposition,[],[f11,f1149]) ).
fof(f1237,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(X1,X2),multiply(X0,X1)),X0) = X2,
inference(forward_demodulation,[],[f1208,f11]) ).
fof(f1208,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(X1,X2),inverse(double_divide(X1,X0))),X0) = X2,
inference(superposition,[],[f634,f1149]) ).
fof(f634,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)),X0) = X2,
inference(superposition,[],[f351,f2]) ).
fof(f351,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),identity) = X2,
inference(backward_demodulation,[],[f7,f350]) ).
fof(f4236,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X3),double_divide(X3,double_divide(X2,X1))),
inference(superposition,[],[f3025,f3025]) ).
fof(f5,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
% 0.11/0.12 % Problem : GRP486-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 04:14:17 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (17661)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (17666)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 TRYING [4]
% 0.14/0.36 % (17665)WARNING: value z3 for option sas not known
% 0.14/0.36 % (17662)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (17664)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (17665)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)
% 0.14/0.36 % (17667)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)
% 0.14/0.36 % (17668)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)
% 0.14/0.37 % (17669)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [5]
% 0.14/0.37 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [6]
% 0.21/0.47 TRYING [1]
% 0.21/0.47 TRYING [2]
% 0.21/0.47 TRYING [3]
% 0.21/0.48 TRYING [4]
% 0.21/0.48 % (17668)First to succeed.
% 0.21/0.48 % (17668)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (17668)------------------------------
% 0.21/0.48 % (17668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.48 % (17668)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (17668)Memory used [KB]: 2442
% 0.21/0.48 % (17668)Time elapsed: 0.118 s
% 0.21/0.48 % (17668)Instructions burned: 215 (million)
% 0.21/0.48 % (17668)------------------------------
% 0.21/0.48 % (17668)------------------------------
% 0.21/0.48 % (17661)Success in time 0.134 s
%------------------------------------------------------------------------------