TSTP Solution File: GRP582-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP582-1 : 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 : n003.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 06:09:31 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 78 ( 78 unt; 0 def)
% Number of atoms : 78 ( 77 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 : 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 : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2716,plain,
$false,
inference(trivial_inequality_removal,[],[f2686]) ).
fof(f2686,plain,
a2 != a2,
inference(superposition,[],[f15,f2609]) ).
fof(f2609,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f2540,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2540,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(forward_demodulation,[],[f2539,f3]) ).
fof(f2539,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f2538,f459]) ).
fof(f459,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f435,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f435,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f170,f412]) ).
fof(f412,plain,
identity = inverse(inverse(identity)),
inference(forward_demodulation,[],[f411,f4]) ).
fof(f411,plain,
double_divide(identity,inverse(identity)) = inverse(inverse(identity)),
inference(forward_demodulation,[],[f410,f4]) ).
fof(f410,plain,
inverse(inverse(identity)) = double_divide(double_divide(inverse(identity),inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f399,f3]) ).
fof(f399,plain,
inverse(inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),identity)),inverse(identity)),
inference(superposition,[],[f88,f381]) ).
fof(f381,plain,
identity = inverse(inverse(inverse(identity))),
inference(forward_demodulation,[],[f380,f377]) ).
fof(f377,plain,
identity = double_divide(double_divide(identity,inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f359,f3]) ).
fof(f359,plain,
identity = double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),
inference(superposition,[],[f345,f4]) ).
fof(f345,plain,
! [X0] : double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X0,inverse(identity)))),inverse(identity)) = X0,
inference(superposition,[],[f71,f3]) ).
fof(f71,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),inverse(identity)) = X1,
inference(superposition,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f380,plain,
inverse(inverse(inverse(identity))) = double_divide(double_divide(identity,inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f368,f3]) ).
fof(f368,plain,
inverse(inverse(inverse(identity))) = double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),
inference(superposition,[],[f345,f209]) ).
fof(f209,plain,
identity = double_divide(inverse(inverse(inverse(identity))),inverse(identity)),
inference(forward_demodulation,[],[f201,f3]) ).
fof(f201,plain,
identity = double_divide(double_divide(inverse(inverse(identity)),identity),inverse(identity)),
inference(superposition,[],[f89,f4]) ).
fof(f89,plain,
! [X0] : double_divide(double_divide(inverse(inverse(identity)),double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(superposition,[],[f83,f4]) ).
fof(f83,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f74,f3]) ).
fof(f74,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),inverse(identity)) = X1,
inference(superposition,[],[f6,f4]) ).
fof(f88,plain,
! [X0] : double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X0))),inverse(identity)) = X0,
inference(superposition,[],[f83,f3]) ).
fof(f170,plain,
inverse(identity) = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f162,f3]) ).
fof(f162,plain,
inverse(identity) = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
inference(superposition,[],[f88,f4]) ).
fof(f2538,plain,
! [X0] : double_divide(double_divide(X0,inverse(identity)),identity) = X0,
inference(forward_demodulation,[],[f2537,f3]) ).
fof(f2537,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,identity)),identity) = X0,
inference(forward_demodulation,[],[f2511,f459]) ).
fof(f2511,plain,
! [X0] : double_divide(double_divide(X0,double_divide(inverse(identity),identity)),inverse(identity)) = X0,
inference(superposition,[],[f71,f2467]) ).
fof(f2467,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,X0)),
inference(forward_demodulation,[],[f2438,f1264]) ).
fof(f1264,plain,
! [X0] : double_divide(identity,X0) = multiply(double_divide(identity,multiply(X0,identity)),identity),
inference(forward_demodulation,[],[f1263,f800]) ).
fof(f800,plain,
! [X0] : inverse(inverse(inverse(X0))) = double_divide(identity,X0),
inference(superposition,[],[f508,f3]) ).
fof(f508,plain,
! [X0] : double_divide(identity,X0) = double_divide(inverse(inverse(X0)),identity),
inference(superposition,[],[f101,f459]) ).
fof(f101,plain,
! [X0] : double_divide(identity,X0) = double_divide(inverse(inverse(X0)),inverse(identity)),
inference(forward_demodulation,[],[f92,f3]) ).
fof(f92,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(inverse(X0),identity),inverse(identity)),
inference(superposition,[],[f83,f4]) ).
fof(f1263,plain,
! [X0] : inverse(inverse(inverse(X0))) = multiply(double_divide(identity,multiply(X0,identity)),identity),
inference(forward_demodulation,[],[f1262,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(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f1262,plain,
! [X0] : multiply(identity,inverse(X0)) = multiply(double_divide(identity,multiply(X0,identity)),identity),
inference(forward_demodulation,[],[f1256,f459]) ).
fof(f1256,plain,
! [X0] : multiply(double_divide(identity,multiply(X0,identity)),identity) = multiply(inverse(identity),inverse(X0)),
inference(superposition,[],[f116,f1217]) ).
fof(f1217,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(superposition,[],[f983,f2]) ).
fof(f983,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(forward_demodulation,[],[f982,f459]) ).
fof(f982,plain,
! [X0] : double_divide(double_divide(inverse(identity),multiply(X0,identity)),identity) = X0,
inference(forward_demodulation,[],[f954,f459]) ).
fof(f954,plain,
! [X0] : double_divide(double_divide(inverse(inverse(identity)),multiply(X0,identity)),inverse(identity)) = X0,
inference(superposition,[],[f89,f834]) ).
fof(f834,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[],[f833,f10]) ).
fof(f10,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f833,plain,
! [X0] : double_divide(identity,inverse(X0)) = inverse(double_divide(identity,X0)),
inference(forward_demodulation,[],[f832,f3]) ).
fof(f832,plain,
! [X0] : double_divide(identity,inverse(X0)) = double_divide(double_divide(identity,X0),identity),
inference(forward_demodulation,[],[f831,f800]) ).
fof(f831,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = inverse(inverse(inverse(inverse(X0)))),
inference(forward_demodulation,[],[f808,f12]) ).
fof(f808,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = multiply(identity,inverse(inverse(X0))),
inference(superposition,[],[f2,f508]) ).
fof(f116,plain,
! [X0,X1] : multiply(double_divide(X0,X1),identity) = multiply(inverse(identity),inverse(multiply(X1,X0))),
inference(superposition,[],[f113,f10]) ).
fof(f113,plain,
! [X0] : multiply(inverse(identity),inverse(inverse(X0))) = multiply(X0,identity),
inference(forward_demodulation,[],[f109,f10]) ).
fof(f109,plain,
! [X0] : inverse(double_divide(identity,X0)) = multiply(inverse(identity),inverse(inverse(X0))),
inference(superposition,[],[f10,f101]) ).
fof(f2438,plain,
! [X0] : identity = double_divide(X0,multiply(double_divide(identity,multiply(X0,identity)),identity)),
inference(superposition,[],[f2391,f1218]) ).
fof(f1218,plain,
! [X0] : inverse(double_divide(identity,multiply(X0,identity))) = X0,
inference(superposition,[],[f983,f3]) ).
fof(f2391,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(X0,identity)),
inference(forward_demodulation,[],[f2390,f459]) ).
fof(f2390,plain,
! [X0] : inverse(identity) = double_divide(inverse(X0),multiply(X0,identity)),
inference(forward_demodulation,[],[f2389,f13]) ).
fof(f13,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : double_divide(identity,identity) = multiply(inverse(X0),X0),
inference(superposition,[],[f2,f4]) ).
fof(f2389,plain,
! [X0] : multiply(inverse(identity),identity) = double_divide(inverse(X0),multiply(X0,identity)),
inference(forward_demodulation,[],[f2388,f834]) ).
fof(f2388,plain,
! [X0] : double_divide(identity,inverse(inverse(identity))) = double_divide(inverse(X0),multiply(X0,identity)),
inference(forward_demodulation,[],[f2387,f12]) ).
fof(f2387,plain,
! [X0] : double_divide(inverse(X0),multiply(X0,identity)) = double_divide(identity,multiply(identity,identity)),
inference(forward_demodulation,[],[f2386,f1306]) ).
fof(f1306,plain,
! [X0,X1] : double_divide(identity,multiply(X0,identity)) = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),X0)),identity),
inference(forward_demodulation,[],[f1279,f459]) ).
fof(f1279,plain,
! [X0,X1] : double_divide(identity,multiply(X0,identity)) = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),X0)),inverse(identity)),
inference(superposition,[],[f83,f1218]) ).
fof(f2386,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X0,identity)) = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),identity)),identity),
inference(forward_demodulation,[],[f2330,f459]) ).
fof(f2330,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X0,identity)) = double_divide(double_divide(inverse(X1),double_divide(double_divide(identity,X1),identity)),inverse(identity)),
inference(superposition,[],[f83,f2043]) ).
fof(f2043,plain,
! [X0] : identity = inverse(double_divide(inverse(X0),multiply(X0,identity))),
inference(superposition,[],[f483,f3]) ).
fof(f483,plain,
! [X0] : identity = double_divide(double_divide(inverse(X0),multiply(X0,identity)),identity),
inference(forward_demodulation,[],[f482,f10]) ).
fof(f482,plain,
! [X0] : identity = double_divide(double_divide(inverse(X0),inverse(double_divide(identity,X0))),identity),
inference(forward_demodulation,[],[f481,f3]) ).
fof(f481,plain,
! [X0] : identity = double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),identity)),identity),
inference(forward_demodulation,[],[f449,f459]) ).
fof(f449,plain,
! [X0] : inverse(identity) = double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),identity)),inverse(identity)),
inference(superposition,[],[f83,f412]) ).
fof(f15,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f5,f12]) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP582-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:40:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (11791)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (11797)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)
% 0.15/0.37 % (11794)WARNING: value z3 for option sas not known
% 0.15/0.37 % (11798)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)
% 0.15/0.37 % (11796)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)
% 0.15/0.37 % (11792)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (11793)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (11794)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)
% 0.15/0.37 % (11795)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [5]
% 0.21/0.39 TRYING [4]
% 0.21/0.41 % (11798)First to succeed.
% 0.21/0.41 % (11798)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11791"
% 0.21/0.42 TRYING [6]
% 0.21/0.42 % (11798)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (11798)------------------------------
% 0.21/0.42 % (11798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42 % (11798)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (11798)Memory used [KB]: 1298
% 0.21/0.42 % (11798)Time elapsed: 0.044 s
% 0.21/0.42 % (11798)Instructions burned: 90 (million)
% 0.21/0.42 % (11791)Success in time 0.04 s
%------------------------------------------------------------------------------