TSTP Solution File: GRP491-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP491-1 : 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 : n015.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 06:09:15 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f917,plain,
$false,
inference(trivial_inequality_removal,[],[f905]) ).
fof(f905,plain,
a2 != a2,
inference(superposition,[],[f15,f880]) ).
fof(f880,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f879,f187]) ).
fof(f187,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f116,f167]) ).
fof(f167,plain,
identity = double_divide(identity,inverse(inverse(identity))),
inference(forward_demodulation,[],[f157,f129]) ).
fof(f129,plain,
identity = double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),
inference(superposition,[],[f116,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f157,plain,
double_divide(identity,inverse(inverse(identity))) = double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),
inference(superposition,[],[f116,f130]) ).
fof(f130,plain,
inverse(identity) = double_divide(identity,double_divide(identity,inverse(inverse(identity)))),
inference(superposition,[],[f116,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f116,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,inverse(inverse(identity)))) = X0,
inference(superposition,[],[f97,f13]) ).
fof(f13,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : multiply(inverse(X0),X0) = double_divide(identity,identity),
inference(superposition,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f97,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(identity,inverse(multiply(inverse(X0),X1)))) = X0,
inference(forward_demodulation,[],[f96,f10]) ).
fof(f10,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(superposition,[],[f2,f3]) ).
fof(f96,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(identity,inverse(inverse(double_divide(X1,inverse(X0)))))) = X0,
inference(forward_demodulation,[],[f80,f3]) ).
fof(f80,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(identity,double_divide(inverse(double_divide(X1,inverse(X0))),identity))) = X0,
inference(superposition,[],[f6,f4]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(inverse(double_divide(X0,X1)),double_divide(X2,X1)))) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f879,plain,
! [X0] : inverse(inverse(X0)) = double_divide(double_divide(identity,X0),identity),
inference(forward_demodulation,[],[f867,f4]) ).
fof(f867,plain,
! [X0] : inverse(inverse(X0)) = double_divide(double_divide(identity,X0),double_divide(identity,inverse(identity))),
inference(superposition,[],[f97,f833]) ).
fof(f833,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(forward_demodulation,[],[f832,f246]) ).
fof(f246,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f245,f4]) ).
fof(f245,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(forward_demodulation,[],[f239,f3]) ).
fof(f239,plain,
inverse(identity) = double_divide(identity,double_divide(identity,identity)),
inference(superposition,[],[f130,f215]) ).
fof(f215,plain,
identity = inverse(inverse(identity)),
inference(superposition,[],[f186,f3]) ).
fof(f186,plain,
identity = double_divide(inverse(identity),identity),
inference(superposition,[],[f129,f167]) ).
fof(f832,plain,
! [X0] : inverse(identity) = multiply(inverse(inverse(inverse(X0))),X0),
inference(forward_demodulation,[],[f812,f3]) ).
fof(f812,plain,
! [X0] : double_divide(identity,identity) = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f2,f769]) ).
fof(f769,plain,
! [X0] : identity = double_divide(X0,inverse(inverse(inverse(X0)))),
inference(forward_demodulation,[],[f768,f246]) ).
fof(f768,plain,
! [X0] : inverse(identity) = double_divide(X0,inverse(inverse(inverse(X0)))),
inference(forward_demodulation,[],[f740,f12]) ).
fof(f12,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(forward_demodulation,[],[f7,f3]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f740,plain,
! [X0] : inverse(identity) = double_divide(X0,multiply(identity,inverse(X0))),
inference(superposition,[],[f601,f215]) ).
fof(f601,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(forward_demodulation,[],[f583,f530]) ).
fof(f530,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(identity,inverse(multiply(X1,X0))),
inference(superposition,[],[f493,f10]) ).
fof(f493,plain,
! [X0] : inverse(X0) = double_divide(identity,inverse(inverse(X0))),
inference(forward_demodulation,[],[f492,f3]) ).
fof(f492,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,inverse(inverse(X0))),
inference(forward_demodulation,[],[f474,f167]) ).
fof(f474,plain,
! [X0] : double_divide(X0,double_divide(identity,inverse(inverse(identity)))) = double_divide(identity,inverse(inverse(X0))),
inference(superposition,[],[f116,f351]) ).
fof(f351,plain,
! [X0] : double_divide(identity,double_divide(identity,inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[],[f350,f246]) ).
fof(f350,plain,
! [X0] : double_divide(inverse(identity),double_divide(identity,inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[],[f348,f3]) ).
fof(f348,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(identity,inverse(inverse(X0)))) = X0,
inference(superposition,[],[f97,f317]) ).
fof(f317,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f187,f2]) ).
fof(f583,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,inverse(multiply(inverse(X1),inverse(X0))))) = X1,
inference(superposition,[],[f97,f531]) ).
fof(f531,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(superposition,[],[f493,f318]) ).
fof(f318,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(superposition,[],[f187,f3]) ).
fof(f15,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f5,f12]) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP491-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:41:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (20625)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (20629)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.20/0.36 TRYING [3]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 % (20628)WARNING: value z3 for option sas not known
% 0.20/0.37 % (20626)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (20627)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (20628)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)
% 0.20/0.37 % (20630)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)
% 0.20/0.37 % (20631)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)
% 0.20/0.37 % (20632)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)
% 0.20/0.37 TRYING [5]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [6]
% 0.20/0.39 % (20632)First to succeed.
% 0.20/0.39 TRYING [4]
% 0.20/0.39 % (20632)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20625"
% 0.20/0.39 % (20632)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (20632)------------------------------
% 0.20/0.39 % (20632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (20632)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (20632)Memory used [KB]: 955
% 0.20/0.39 % (20632)Time elapsed: 0.019 s
% 0.20/0.39 % (20632)Instructions burned: 31 (million)
% 0.20/0.39 % (20625)Success in time 0.035 s
%------------------------------------------------------------------------------