TSTP Solution File: GRP098-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP098-1 : 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 : n007.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 05:53:23 EDT 2024
% Result : Unsatisfiable 1.58s 0.61s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 57 ( 45 unt; 0 def)
% Number of atoms : 85 ( 84 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 42 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 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 : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10136,plain,
$false,
inference(equality_resolution,[],[f9814]) ).
fof(f9814,plain,
! [X0] : divide(X0,X0) != divide(a1,a1),
inference(superposition,[],[f9813,f146]) ).
fof(f146,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f135,f91]) ).
fof(f91,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(superposition,[],[f77,f73]) ).
fof(f73,plain,
! [X3,X1] : divide(multiply(X3,X1),X3) = X1,
inference(forward_demodulation,[],[f72,f2]) ).
fof(f2,axiom,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f72,plain,
! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f53,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f53,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f7,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f4,f4]) ).
fof(f77,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f4,f73]) ).
fof(f135,plain,
! [X2,X1] : divide(multiply(X1,X2),X2) = X1,
inference(forward_demodulation,[],[f121,f91]) ).
fof(f121,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),multiply(divide(X0,X0),X2)) = X1,
inference(superposition,[],[f8,f91]) ).
fof(f8,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[],[f4,f2]) ).
fof(f9813,plain,
divide(a1,a1) != divide(b1,b1),
inference(trivial_inequality_removal,[],[f9810]) ).
fof(f9810,plain,
( a2 != a2
| divide(a1,a1) != divide(b1,b1) ),
inference(superposition,[],[f9523,f91]) ).
fof(f9523,plain,
( a2 != multiply(divide(b2,b2),a2)
| divide(a1,a1) != divide(b1,b1) ),
inference(trivial_inequality_removal,[],[f9454]) ).
fof(f9454,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1)
| a2 != multiply(divide(b2,b2),a2) ),
inference(superposition,[],[f491,f6629]) ).
fof(f6629,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(X0,multiply(X2,X1)),
inference(superposition,[],[f3818,f73]) ).
fof(f3818,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(X1,multiply(X0,divide(X2,X1))),
inference(forward_demodulation,[],[f3730,f1580]) ).
fof(f1580,plain,
! [X2,X0,X1] : multiply(divide(X1,X0),X2) = multiply(X1,divide(X2,X0)),
inference(backward_demodulation,[],[f1068,f1579]) ).
fof(f1579,plain,
! [X2,X0,X1] : multiply(X2,divide(X1,X0)) = divide(X1,divide(X0,X2)),
inference(forward_demodulation,[],[f1578,f540]) ).
fof(f540,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[],[f497,f137]) ).
fof(f137,plain,
! [X2,X1] : divide(X1,divide(X1,X2)) = X2,
inference(forward_demodulation,[],[f123,f91]) ).
fof(f123,plain,
! [X2,X0,X1] : divide(X1,divide(X1,multiply(divide(X0,X0),X2))) = X2,
inference(superposition,[],[f10,f91]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(X1,divide(multiply(X0,X1),multiply(X0,X2))) = X2,
inference(superposition,[],[f4,f8]) ).
fof(f497,plain,
! [X0,X1] : inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[],[f73,f476]) ).
fof(f476,plain,
! [X0,X1] : divide(X0,X1) = multiply(X0,inverse(X1)),
inference(superposition,[],[f213,f164]) ).
fof(f164,plain,
! [X3,X1] : multiply(divide(X3,X1),X1) = X3,
inference(backward_demodulation,[],[f22,f145]) ).
fof(f145,plain,
! [X2,X3,X0,X1] : divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)) = divide(X3,X1),
inference(superposition,[],[f135,f22]) ).
fof(f213,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[],[f164,f2]) ).
fof(f1578,plain,
! [X2,X0,X1] : divide(X1,divide(X0,X2)) = multiply(X2,inverse(divide(X0,X1))),
inference(forward_demodulation,[],[f1486,f540]) ).
fof(f1486,plain,
! [X2,X0,X1] : multiply(X2,inverse(divide(X0,X1))) = inverse(divide(divide(X0,X2),X1)),
inference(superposition,[],[f525,f165]) ).
fof(f165,plain,
! [X3,X1,X4] : divide(divide(X3,X4),divide(divide(X3,X1),X4)) = X1,
inference(backward_demodulation,[],[f54,f145]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X3,X4),divide(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X4)) = X1,
inference(superposition,[],[f4,f22]) ).
fof(f525,plain,
! [X0,X1] : inverse(X1) = multiply(divide(X0,X1),inverse(X0)),
inference(superposition,[],[f477,f476]) ).
fof(f477,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X1)) = X0,
inference(superposition,[],[f213,f219]) ).
fof(f219,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f164,f73]) ).
fof(f1068,plain,
! [X2,X0,X1] : multiply(divide(X1,X0),X2) = divide(X2,divide(X0,X1)),
inference(superposition,[],[f458,f540]) ).
fof(f458,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(superposition,[],[f135,f70]) ).
fof(f70,plain,
! [X3,X1] : multiply(multiply(inverse(X3),X1),X3) = X1,
inference(forward_demodulation,[],[f69,f2]) ).
fof(f69,plain,
! [X3,X1] : multiply(divide(inverse(X3),inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f44,f4]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(X3),divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f22,f22]) ).
fof(f3730,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(X1,multiply(divide(X0,X1),X2)),
inference(superposition,[],[f218,f164]) ).
fof(f218,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(superposition,[],[f164,f8]) ).
fof(f491,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| divide(a1,a1) != divide(b1,b1)
| a2 != multiply(divide(b2,b2),a2) ),
inference(forward_demodulation,[],[f490,f476]) ).
fof(f490,plain,
( divide(a1,a1) != divide(b1,b1)
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(backward_demodulation,[],[f472,f476]) ).
fof(f472,plain,
( a2 != multiply(multiply(b2,inverse(b2)),a2)
| divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f471,plain,
( multiply(a4,b4) != multiply(a4,b4)
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(forward_demodulation,[],[f470,f219]) ).
fof(f470,plain,
( a2 != multiply(multiply(b2,inverse(b2)),a2)
| divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f469,f219]) ).
fof(f469,plain,
( divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f468,f219]) ).
fof(f468,plain,
( multiply(inverse(b1),b1) != divide(a1,a1)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f368,f458]) ).
fof(f368,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f3,f218]) ).
fof(f3,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:48:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % (2478)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (2481)WARNING: value z3 for option sas not known
% 0.21/0.37 % (2485)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)
% 0.21/0.37 % (2482)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (2480)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (2483)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)
% 0.21/0.37 % (2479)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (2481)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)
% 0.21/0.37 % (2484)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.47 TRYING [5]
% 0.21/0.50 TRYING [4]
% 1.58/0.61 % (2484)First to succeed.
% 1.58/0.61 % (2484)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2478"
% 1.58/0.61 % (2484)Refutation found. Thanks to Tanya!
% 1.58/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.61 % (2484)------------------------------
% 1.58/0.61 % (2484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.58/0.61 % (2484)Termination reason: Refutation
% 1.58/0.61
% 1.58/0.61 % (2484)Memory used [KB]: 5906
% 1.58/0.61 % (2484)Time elapsed: 0.241 s
% 1.58/0.61 % (2484)Instructions burned: 637 (million)
% 1.58/0.61 % (2478)Success in time 0.256 s
%------------------------------------------------------------------------------