TSTP Solution File: GRP079-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP079-1 : 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 : n026.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 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 64 ( 59 unt; 0 def)
% Number of atoms : 72 ( 71 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 : 5 ( 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 : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2712,plain,
$false,
inference(trivial_inequality_removal,[],[f2711]) ).
fof(f2711,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f654,f2181]) ).
fof(f2181,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f2110,f10]) ).
fof(f10,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(f2110,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = inverse(double_divide(multiply(X1,X2),X0)),
inference(superposition,[],[f919,f972]) ).
fof(f972,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X0),double_divide(multiply(X0,X2),X1)) = X2,
inference(forward_demodulation,[],[f939,f10]) ).
fof(f939,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,X1)),double_divide(multiply(X0,X2),X1)) = X2,
inference(superposition,[],[f697,f881]) ).
fof(f881,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(superposition,[],[f765,f765]) ).
fof(f765,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f764,f618]) ).
fof(f618,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f15,f617]) ).
fof(f617,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f7,f615]) ).
fof(f615,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[],[f463,f601]) ).
fof(f601,plain,
! [X0] : inverse(X0) = double_divide(identity,double_divide(identity,inverse(X0))),
inference(superposition,[],[f393,f280]) ).
fof(f280,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0)))) = X0,
inference(backward_demodulation,[],[f223,f253]) ).
fof(f253,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f243,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f243,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f237,f4]) ).
fof(f237,plain,
! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = X0,
inference(forward_demodulation,[],[f229,f3]) ).
fof(f229,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
inference(superposition,[],[f197,f4]) ).
fof(f197,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f172,f4]) ).
fof(f172,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(double_divide(identity,inverse(identity)),double_divide(X1,inverse(X0)))) = X0,
inference(superposition,[],[f6,f4]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f223,plain,
! [X0] : double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X0)))) = X0,
inference(superposition,[],[f197,f3]) ).
fof(f393,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(superposition,[],[f284,f3]) ).
fof(f284,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f237,f253]) ).
fof(f463,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),identity) = X0,
inference(forward_demodulation,[],[f462,f253]) ).
fof(f462,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f456,f3]) ).
fof(f456,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,inverse(X0))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f197,f416]) ).
fof(f416,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(superposition,[],[f29,f392]) ).
fof(f392,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f284,f2]) ).
fof(f29,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(superposition,[],[f4,f10]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f7,f3]) ).
fof(f764,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f763,f691]) ).
fof(f691,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(backward_demodulation,[],[f437,f635]) ).
fof(f635,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
inference(backward_demodulation,[],[f204,f617]) ).
fof(f204,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,multiply(identity,X0)))),
inference(forward_demodulation,[],[f180,f4]) ).
fof(f180,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(identity,X1),double_divide(double_divide(identity,inverse(identity)),double_divide(X1,multiply(identity,X0)))),
inference(superposition,[],[f6,f21]) ).
fof(f21,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f15]) ).
fof(f437,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
inference(superposition,[],[f197,f393]) ).
fof(f763,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f646,f617]) ).
fof(f646,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(multiply(identity,X1),X0)) = X1,
inference(backward_demodulation,[],[f317,f617]) ).
fof(f317,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(multiply(identity,X1),multiply(identity,X0))) = X1,
inference(forward_demodulation,[],[f316,f15]) ).
fof(f316,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(inverse(inverse(X1)),multiply(identity,X0))) = X1,
inference(forward_demodulation,[],[f277,f3]) ).
fof(f277,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(double_divide(inverse(X1),identity),multiply(identity,X0))) = X1,
inference(backward_demodulation,[],[f216,f253]) ).
fof(f216,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(double_divide(inverse(X1),inverse(identity)),multiply(identity,X0))) = X1,
inference(forward_demodulation,[],[f189,f3]) ).
fof(f189,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(double_divide(double_divide(X1,identity),inverse(identity)),multiply(identity,X0))) = X1,
inference(superposition,[],[f6,f7]) ).
fof(f697,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(multiply(X2,X1),double_divide(X0,X2))) = X1,
inference(backward_demodulation,[],[f288,f691]) ).
fof(f288,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(multiply(X2,X1),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f287,f10]) ).
fof(f287,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(inverse(double_divide(X1,X2)),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f254,f3]) ).
fof(f254,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2))) = X1,
inference(backward_demodulation,[],[f6,f253]) ).
fof(f919,plain,
! [X0,X1] : inverse(X1) = multiply(X0,double_divide(X0,X1)),
inference(forward_demodulation,[],[f913,f3]) ).
fof(f913,plain,
! [X0,X1] : double_divide(X1,identity) = multiply(X0,double_divide(X0,X1)),
inference(superposition,[],[f2,f881]) ).
fof(f654,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f653]) ).
fof(f653,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f286,f617]) ).
fof(f286,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(trivial_inequality_removal,[],[f256]) ).
fof(f256,plain,
( identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(backward_demodulation,[],[f13,f253]) ).
fof(f13,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != inverse(identity) ),
inference(backward_demodulation,[],[f5,f12]) ).
fof(f12,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(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
% 0.02/0.11 % Problem : GRP079-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 04:43:49 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (24513)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (24517)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.35 % (24516)WARNING: value z3 for option sas not known
% 0.18/0.35 TRYING [1]
% 0.18/0.35 % (24515)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.35 TRYING [2]
% 0.18/0.35 % (24518)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)
% 0.18/0.35 % (24516)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)
% 0.18/0.35 % (24519)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)
% 0.18/0.35 % (24520)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)
% 0.18/0.35 TRYING [3]
% 0.18/0.35 % (24514)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 TRYING [4]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [3]
% 0.18/0.37 TRYING [5]
% 0.18/0.39 TRYING [4]
% 0.18/0.40 % (24519)First to succeed.
% 0.18/0.41 % (24519)Refutation found. Thanks to Tanya!
% 0.18/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.41 % (24519)------------------------------
% 0.18/0.41 % (24519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.41 % (24519)Termination reason: Refutation
% 0.18/0.41
% 0.18/0.41 % (24519)Memory used [KB]: 1574
% 0.18/0.41 % (24519)Time elapsed: 0.056 s
% 0.18/0.41 % (24519)Instructions burned: 111 (million)
% 0.18/0.41 % (24519)------------------------------
% 0.18/0.41 % (24519)------------------------------
% 0.18/0.41 % (24513)Success in time 0.07 s
%------------------------------------------------------------------------------