TSTP Solution File: GRP076-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP076-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 11:51:28 EDT 2024
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 85 ( 80 unt; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 122 ( 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4797,plain,
$false,
inference(trivial_inequality_removal,[],[f4796]) ).
fof(f4796,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f850,f2721]) ).
fof(f2721,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(backward_demodulation,[],[f1886,f2676]) ).
fof(f2676,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = double_divide(double_divide(X0,X2),inverse(X1)),
inference(superposition,[],[f1864,f753]) ).
fof(f753,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(backward_demodulation,[],[f739,f750]) ).
fof(f750,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(identity,X1)),
inference(forward_demodulation,[],[f740,f16]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f8,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/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f740,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(superposition,[],[f714,f714]) ).
fof(f714,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f404,f2]) ).
fof(f404,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,inverse(X0))),identity) = X1,
inference(forward_demodulation,[],[f403,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f403,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(double_divide(inverse(X0),X1))),identity) = X1,
inference(forward_demodulation,[],[f361,f3]) ).
fof(f361,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),identity)),identity) = X1,
inference(backward_demodulation,[],[f170,f351]) ).
fof(f351,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f350,f264]) ).
fof(f264,plain,
identity = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[],[f255,f3]) ).
fof(f255,plain,
identity = double_divide(double_divide(identity,identity),inverse(identity)),
inference(superposition,[],[f243,f22]) ).
fof(f22,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f16]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f243,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(inverse(identity),multiply(identity,X0))),inverse(identity)),
inference(forward_demodulation,[],[f226,f16]) ).
fof(f226,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(inverse(identity),inverse(inverse(X0)))),inverse(identity)),
inference(superposition,[],[f180,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(f180,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(f350,plain,
inverse(identity) = double_divide(inverse(identity),inverse(identity)),
inference(forward_demodulation,[],[f349,f3]) ).
fof(f349,plain,
inverse(identity) = double_divide(double_divide(identity,identity),inverse(identity)),
inference(forward_demodulation,[],[f334,f4]) ).
fof(f334,plain,
inverse(identity) = double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),
inference(superposition,[],[f170,f264]) ).
fof(f170,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(f739,plain,
! [X0,X1] : multiply(multiply(X1,multiply(identity,X0)),inverse(X0)) = X1,
inference(superposition,[],[f714,f16]) ).
fof(f1864,plain,
! [X2,X0,X1] : multiply(X2,X1) = double_divide(double_divide(multiply(X1,X0),X2),X0),
inference(forward_demodulation,[],[f1823,f1306]) ).
fof(f1306,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f1268,f1209]) ).
fof(f1209,plain,
! [X0,X1] : multiply(X1,double_divide(X1,inverse(X0))) = X0,
inference(superposition,[],[f1159,f1044]) ).
fof(f1044,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f1024,f846]) ).
fof(f846,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f15,f820]) ).
fof(f820,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f819,f587]) ).
fof(f587,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(superposition,[],[f434,f2]) ).
fof(f434,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(forward_demodulation,[],[f433,f11]) ).
fof(f433,plain,
! [X0] : double_divide(double_divide(identity,inverse(double_divide(identity,X0))),identity) = X0,
inference(forward_demodulation,[],[f432,f3]) ).
fof(f432,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(forward_demodulation,[],[f398,f394]) ).
fof(f394,plain,
identity = multiply(identity,identity),
inference(backward_demodulation,[],[f278,f351]) ).
fof(f278,plain,
inverse(identity) = multiply(inverse(identity),inverse(identity)),
inference(superposition,[],[f11,f264]) ).
fof(f398,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(double_divide(identity,X0),multiply(identity,identity))),identity) = X0,
inference(backward_demodulation,[],[f301,f351]) ).
fof(f301,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(double_divide(identity,X0),multiply(identity,identity))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f294,f16]) ).
fof(f294,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(double_divide(identity,X0),inverse(inverse(identity)))),inverse(identity)) = X0,
inference(superposition,[],[f7,f290]) ).
fof(f290,plain,
identity = double_divide(multiply(identity,identity),inverse(identity)),
inference(forward_demodulation,[],[f289,f16]) ).
fof(f289,plain,
identity = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f288,f3]) ).
fof(f288,plain,
identity = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
inference(forward_demodulation,[],[f285,f4]) ).
fof(f285,plain,
identity = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(inverse(identity)))),inverse(identity)),
inference(superposition,[],[f180,f278]) ).
fof(f819,plain,
! [X0] : multiply(identity,multiply(multiply(X0,identity),identity)) = X0,
inference(forward_demodulation,[],[f804,f11]) ).
fof(f804,plain,
! [X0] : multiply(identity,inverse(double_divide(identity,multiply(X0,identity)))) = X0,
inference(superposition,[],[f753,f610]) ).
fof(f610,plain,
! [X0] : identity = multiply(X0,double_divide(identity,multiply(X0,identity))),
inference(superposition,[],[f356,f587]) ).
fof(f356,plain,
! [X0,X1] : identity = multiply(multiply(X1,X0),double_divide(X0,X1)),
inference(backward_demodulation,[],[f29,f351]) ).
fof(f29,plain,
! [X0,X1] : inverse(identity) = multiply(multiply(X1,X0),double_divide(X0,X1)),
inference(superposition,[],[f13,f11]) ).
fof(f15,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(f1024,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X0,X1))) = X1,
inference(superposition,[],[f835,f753]) ).
fof(f835,plain,
! [X0,X1] : double_divide(multiply(X1,inverse(X0)),inverse(X1)) = X0,
inference(backward_demodulation,[],[f418,f820]) ).
fof(f418,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(forward_demodulation,[],[f417,f16]) ).
fof(f417,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(forward_demodulation,[],[f387,f3]) ).
fof(f387,plain,
! [X0,X1] : double_divide(inverse(X0),identity) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(backward_demodulation,[],[f248,f351]) ).
fof(f248,plain,
! [X0,X1] : double_divide(multiply(X1,inverse(X0)),inverse(X1)) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f236,f3]) ).
fof(f236,plain,
! [X0,X1] : double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[],[f7,f180]) ).
fof(f1159,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(backward_demodulation,[],[f714,f1141]) ).
fof(f1141,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[],[f1044,f835]) ).
fof(f1268,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(forward_demodulation,[],[f1262,f11]) ).
fof(f1262,plain,
! [X0,X1] : multiply(X1,inverse(double_divide(X0,inverse(X1)))) = X0,
inference(superposition,[],[f753,f1209]) ).
fof(f1823,plain,
! [X2,X0,X1] : multiply(X2,X1) = double_divide(double_divide(double_divide(inverse(X1),inverse(X0)),X2),X0),
inference(superposition,[],[f412,f822]) ).
fof(f822,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f16,f820]) ).
fof(f412,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = multiply(X2,X0),
inference(forward_demodulation,[],[f411,f11]) ).
fof(f411,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = inverse(double_divide(X0,X2)),
inference(forward_demodulation,[],[f376,f3]) ).
fof(f376,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)) = double_divide(double_divide(X0,X2),identity),
inference(backward_demodulation,[],[f205,f351]) ).
fof(f205,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),inverse(identity)) = double_divide(double_divide(double_divide(inverse(X0),X1),X2),inverse(X1)),
inference(forward_demodulation,[],[f189,f3]) ).
fof(f189,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X0,identity),X1),X2),inverse(X1)) = double_divide(double_divide(X0,X2),inverse(identity)),
inference(superposition,[],[f7,f7]) ).
fof(f1886,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(superposition,[],[f1306,f846]) ).
fof(f850,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f849]) ).
fof(f849,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f402,f820]) ).
fof(f402,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(trivial_inequality_removal,[],[f354]) ).
fof(f354,plain,
( identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(backward_demodulation,[],[f14,f351]) ).
fof(f14,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != inverse(identity) ),
inference(backward_demodulation,[],[f5,f13]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP076-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n005.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Apr 30 04:27:56 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % (24287)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (24292)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)
% 0.15/0.36 % (24290)WARNING: value z3 for option sas not known
% 0.15/0.36 % (24288)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.36 % (24291)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.36 % (24290)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)
% 0.15/0.36 % (24289)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.36 % (24293)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)
% 0.15/0.36 % (24294)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 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]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [4]
% 0.15/0.40 TRYING [5]
% 0.15/0.40 TRYING [4]
% 0.20/0.47 TRYING [1]
% 0.20/0.47 TRYING [2]
% 0.20/0.47 % (24293)First to succeed.
% 0.20/0.47 TRYING [6]
% 0.20/0.47 TRYING [3]
% 0.20/0.47 % (24293)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (24293)------------------------------
% 0.20/0.47 % (24293)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.47 % (24293)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (24293)Memory used [KB]: 2373
% 0.20/0.47 % (24293)Time elapsed: 0.104 s
% 0.20/0.47 % (24293)Instructions burned: 200 (million)
% 0.20/0.47 % (24293)------------------------------
% 0.20/0.47 % (24293)------------------------------
% 0.20/0.47 % (24287)Success in time 0.117 s
%------------------------------------------------------------------------------