TSTP Solution File: GRP063-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP063-1 : 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 : n002.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 11:51:24 EDT 2024
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 63 ( 58 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 14 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 130 ( 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5868,plain,
$false,
inference(equality_resolution,[],[f5839]) ).
fof(f5839,plain,
! [X0,X1] : divide(X0,X0) != divide(X1,X1),
inference(superposition,[],[f5820,f285]) ).
fof(f285,plain,
! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f239,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(f239,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f193,f193]) ).
fof(f193,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f98,f8]) ).
fof(f8,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f98,plain,
! [X2,X1] : inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
inference(forward_demodulation,[],[f97,f5]) ).
fof(f97,plain,
! [X2,X1] : inverse(divide(divide(inverse(X1),X2),inverse(X2))) = X1,
inference(forward_demodulation,[],[f78,f8]) ).
fof(f78,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X0,X0)),X2))) = X1,
inference(superposition,[],[f7,f3]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f5820,plain,
! [X0] : divide(X0,X0) != multiply(inverse(a1),a1),
inference(trivial_inequality_removal,[],[f5819]) ).
fof(f5819,plain,
! [X0] :
( a2 != a2
| divide(X0,X0) != multiply(inverse(a1),a1) ),
inference(superposition,[],[f5814,f542]) ).
fof(f542,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(backward_demodulation,[],[f19,f539]) ).
fof(f539,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f522,f457]) ).
fof(f457,plain,
! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
inference(forward_demodulation,[],[f441,f257]) ).
fof(f257,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f96,f193]) ).
fof(f96,plain,
! [X0,X1] : divide(X1,inverse(multiply(inverse(X1),X0))) = X0,
inference(forward_demodulation,[],[f77,f5]) ).
fof(f77,plain,
! [X0,X1] : divide(X1,inverse(divide(inverse(X1),inverse(X0)))) = X0,
inference(superposition,[],[f7,f3]) ).
fof(f441,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X1)) = multiply(X2,divide(X0,X0)),
inference(superposition,[],[f5,f267]) ).
fof(f267,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
inference(forward_demodulation,[],[f236,f162]) ).
fof(f162,plain,
! [X0,X1] : multiply(X1,inverse(inverse(inverse(X0)))) = divide(X1,X0),
inference(superposition,[],[f5,f138]) ).
fof(f138,plain,
! [X1] : inverse(inverse(inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f123,f15]) ).
fof(f15,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f8,f5]) ).
fof(f123,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(divide(X0,X0)),X1))) = X1,
inference(superposition,[],[f96,f3]) ).
fof(f236,plain,
! [X0,X1] : divide(X1,X1) = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
inference(superposition,[],[f193,f138]) ).
fof(f522,plain,
! [X0,X1] : inverse(multiply(inverse(X1),divide(X0,X0))) = X1,
inference(superposition,[],[f275,f3]) ).
fof(f275,plain,
! [X2,X0] : divide(X0,multiply(inverse(X2),X0)) = X2,
inference(backward_demodulation,[],[f271,f274]) ).
fof(f274,plain,
! [X2,X0] : multiply(X2,multiply(inverse(X0),X0)) = X2,
inference(forward_demodulation,[],[f258,f257]) ).
fof(f258,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X0),X0)) = divide(X2,divide(X1,X1)),
inference(superposition,[],[f5,f193]) ).
fof(f271,plain,
! [X2,X0,X1] : divide(X0,multiply(multiply(inverse(X2),X0),multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[],[f270,f5]) ).
fof(f270,plain,
! [X2,X0,X1] : divide(X0,multiply(divide(inverse(X2),inverse(X0)),multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[],[f250,f5]) ).
fof(f250,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X2),inverse(X0)),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f7,f193]) ).
fof(f19,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f9,f5]) ).
fof(f9,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
inference(superposition,[],[f5,f3]) ).
fof(f5814,plain,
! [X0] :
( a2 != multiply(multiply(inverse(b2),b2),a2)
| divide(X0,X0) != multiply(inverse(a1),a1) ),
inference(superposition,[],[f5802,f285]) ).
fof(f5802,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
inference(trivial_inequality_removal,[],[f5801]) ).
fof(f5801,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
inference(backward_demodulation,[],[f4,f5486]) ).
fof(f5486,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f658,f4726]) ).
fof(f4726,plain,
! [X2,X0,X1] : multiply(X0,X1) = divide(multiply(X0,multiply(X1,X2)),X2),
inference(superposition,[],[f2647,f538]) ).
fof(f538,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f519,f174]) ).
fof(f174,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f122,f122]) ).
fof(f122,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f96,f5]) ).
fof(f519,plain,
! [X0,X1] : divide(multiply(inverse(inverse(X0)),X1),X1) = X0,
inference(superposition,[],[f275,f122]) ).
fof(f2647,plain,
! [X2,X0,X1] : divide(multiply(divide(X0,X2),multiply(X2,X1)),X1) = X0,
inference(backward_demodulation,[],[f2253,f2566]) ).
fof(f2566,plain,
! [X2,X0,X1] : divide(X2,divide(inverse(X0),X1)) = multiply(X2,multiply(X1,X0)),
inference(superposition,[],[f552,f2278]) ).
fof(f2278,plain,
! [X0,X1] : multiply(X0,X1) = inverse(divide(inverse(X1),X0)),
inference(superposition,[],[f817,f816]) ).
fof(f816,plain,
! [X0,X1] : divide(inverse(X1),divide(inverse(X0),X1)) = X0,
inference(superposition,[],[f275,f552]) ).
fof(f817,plain,
! [X0,X1] : inverse(X1) = multiply(X0,divide(inverse(X0),X1)),
inference(superposition,[],[f122,f552]) ).
fof(f552,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(backward_demodulation,[],[f162,f539]) ).
fof(f2253,plain,
! [X2,X0,X1] : divide(divide(divide(X0,X2),divide(inverse(X1),X2)),X1) = X0,
inference(forward_demodulation,[],[f2252,f539]) ).
fof(f2252,plain,
! [X2,X0,X1] : divide(divide(divide(inverse(inverse(X0)),X2),divide(inverse(X1),X2)),X1) = X0,
inference(forward_demodulation,[],[f2205,f1034]) ).
fof(f1034,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[],[f567,f658]) ).
fof(f567,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(backward_demodulation,[],[f515,f539]) ).
fof(f515,plain,
! [X0,X1] : inverse(inverse(inverse(X0))) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f275,f138]) ).
fof(f2205,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(inverse(X1),X2),divide(inverse(inverse(X0)),X2))),X1) = X0,
inference(superposition,[],[f816,f7]) ).
fof(f658,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f655,f552]) ).
fof(f655,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f538,f5]) ).
fof(f4,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n002.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 : Tue Apr 30 04:38:25 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (28365)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (28366)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 % (28368)WARNING: value z3 for option sas not known
% 0.14/0.36 % (28369)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (28371)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)
% 0.14/0.36 % (28370)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)
% 0.14/0.37 % (28372)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)
% 0.14/0.37 % (28368)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (28367)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.19/0.43 TRYING [4]
% 0.19/0.43 TRYING [1]
% 0.19/0.43 TRYING [2]
% 0.19/0.43 TRYING [3]
% 0.19/0.44 TRYING [4]
% 0.19/0.46 TRYING [5]
% 0.19/0.47 % (28371)First to succeed.
% 0.19/0.47 % (28371)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (28371)------------------------------
% 0.19/0.47 % (28371)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.47 % (28371)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (28371)Memory used [KB]: 2194
% 0.19/0.47 % (28371)Time elapsed: 0.109 s
% 0.19/0.47 % (28371)Instructions burned: 251 (million)
% 0.19/0.47 % (28371)------------------------------
% 0.19/0.47 % (28371)------------------------------
% 0.19/0.47 % (28365)Success in time 0.121 s
%------------------------------------------------------------------------------