TSTP Solution File: GRP088-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP088-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Sun May 5 05:53:21 EDT 2024
% Result : Unsatisfiable 8.79s 1.61s
% Output : Refutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 45 ( 44 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 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 : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66550,plain,
$false,
inference(trivial_inequality_removal,[],[f66436]) ).
fof(f66436,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f4586,f30685]) ).
fof(f30685,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f30684,f5]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X2,X0] : inverse(X0) = divide(divide(X2,X2),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f30684,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X0,inverse(multiply(X1,X2))),
inference(forward_demodulation,[],[f30257,f1975]) ).
fof(f1975,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = divide(inverse(X1),X0),
inference(superposition,[],[f1261,f895]) ).
fof(f895,plain,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(superposition,[],[f765,f709]) ).
fof(f709,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X1,X0)),
inference(superposition,[],[f693,f91]) ).
fof(f91,plain,
! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f90,f5]) ).
fof(f90,plain,
! [X2,X1] : inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
inference(forward_demodulation,[],[f67,f3]) ).
fof(f67,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X2,divide(divide(X0,X0),X1)))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f693,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f113,f532]) ).
fof(f532,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(X0,divide(X1,X1))),
inference(forward_demodulation,[],[f525,f5]) ).
fof(f525,plain,
! [X0,X1] : inverse(X0) = inverse(divide(X0,inverse(divide(X1,X1)))),
inference(superposition,[],[f91,f228]) ).
fof(f228,plain,
! [X0,X1] : inverse(divide(X0,X0)) = multiply(inverse(X1),X1),
inference(superposition,[],[f175,f3]) ).
fof(f175,plain,
! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f151,f5]) ).
fof(f151,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f122,f122]) ).
fof(f122,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f110,f5]) ).
fof(f110,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,inverse(inverse(X1)))),
inference(superposition,[],[f91,f7]) ).
fof(f7,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
inference(superposition,[],[f5,f3]) ).
fof(f113,plain,
! [X0,X1] : inverse(inverse(multiply(X1,divide(X0,X0)))) = X1,
inference(superposition,[],[f91,f3]) ).
fof(f765,plain,
! [X0,X1] : divide(X1,divide(X1,X0)) = X0,
inference(superposition,[],[f1,f735]) ).
fof(f735,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f714,f693]) ).
fof(f714,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(X0,divide(X1,X1)),
inference(superposition,[],[f693,f259]) ).
fof(f259,plain,
! [X0,X1] : inverse(X0) = inverse(divide(X0,divide(X1,X1))),
inference(superposition,[],[f91,f175]) ).
fof(f1261,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(superposition,[],[f765,f797]) ).
fof(f797,plain,
! [X2,X0] : divide(X0,inverse(divide(X2,X0))) = X2,
inference(forward_demodulation,[],[f786,f3]) ).
fof(f786,plain,
! [X2,X0,X1] : divide(X0,divide(divide(X1,X1),divide(X2,X0))) = X2,
inference(superposition,[],[f1,f735]) ).
fof(f30257,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X0,divide(inverse(X1),X2)),
inference(superposition,[],[f49,f1275]) ).
fof(f1275,plain,
! [X0,X1] : divide(multiply(X1,X0),X1) = X0,
inference(forward_demodulation,[],[f1238,f693]) ).
fof(f1238,plain,
! [X0,X1] : divide(multiply(X1,X0),inverse(inverse(X1))) = X0,
inference(superposition,[],[f797,f709]) ).
fof(f49,plain,
! [X2,X0,X1] : divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1)))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f4586,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(unit_resulting_resolution,[],[f1434,f1307,f223,f4]) ).
fof(f4,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f223,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f175,f5]) ).
fof(f1307,plain,
! [X0,X1] : multiply(multiply(inverse(X1),X1),X0) = X0,
inference(superposition,[],[f1254,f739]) ).
fof(f739,plain,
! [X0,X1] : divide(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f735,f5]) ).
fof(f1254,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[],[f797,f5]) ).
fof(f1434,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f1328,f1275]) ).
fof(f1328,plain,
! [X2,X0] : multiply(divide(X0,X2),X2) = X0,
inference(forward_demodulation,[],[f1303,f839]) ).
fof(f839,plain,
! [X2,X0,X1] : divide(X1,divide(X2,divide(X0,X1))) = divide(X0,X2),
inference(superposition,[],[f765,f1]) ).
fof(f1303,plain,
! [X2,X0,X1] : multiply(divide(X1,divide(X2,divide(X0,X1))),X2) = X0,
inference(superposition,[],[f1254,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP088-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 20:49:38 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % (22508)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (22511)WARNING: value z3 for option sas not known
% 0.15/0.32 % (22509)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (22514)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)
% 0.15/0.32 % (22512)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (22510)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (22515)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)
% 0.15/0.32 % (22511)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)
% 0.15/0.32 % (22513)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [4]
% 0.15/0.38 TRYING [5]
% 0.15/0.40 TRYING [4]
% 3.23/0.81 TRYING [6]
% 7.56/1.42 TRYING [1]
% 7.56/1.42 TRYING [2]
% 7.56/1.42 TRYING [3]
% 7.56/1.43 TRYING [4]
% 8.15/1.50 TRYING [5]
% 8.79/1.61 % (22515)First to succeed.
% 8.79/1.61 % (22515)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22508"
% 8.79/1.61 % (22515)Refutation found. Thanks to Tanya!
% 8.79/1.61 % SZS status Unsatisfiable for theBenchmark
% 8.79/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 8.79/1.61 % (22515)------------------------------
% 8.79/1.61 % (22515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.79/1.61 % (22515)Termination reason: Refutation
% 8.79/1.61
% 8.79/1.61 % (22515)Memory used [KB]: 13787
% 8.79/1.61 % (22515)Time elapsed: 1.286 s
% 8.79/1.61 % (22515)Instructions burned: 2988 (million)
% 8.79/1.61 % (22508)Success in time 1.291 s
%------------------------------------------------------------------------------