TSTP Solution File: GRP450-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP450-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 06:08:58 EDT 2024
% Result : Unsatisfiable 0.23s 0.55s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 114 ( 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8942,plain,
$false,
inference(trivial_inequality_removal,[],[f8915]) ).
fof(f8915,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f4,f6188]) ).
fof(f6188,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f669,f4909]) ).
fof(f4909,plain,
! [X2,X0,X1] : multiply(X0,X1) = divide(multiply(X0,multiply(X1,X2)),X2),
inference(superposition,[],[f669,f2351]) ).
fof(f2351,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,multiply(X2,X1)),X1),X2) = X0,
inference(forward_demodulation,[],[f2350,f548]) ).
fof(f548,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f533,f400]) ).
fof(f400,plain,
! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
inference(forward_demodulation,[],[f386,f219]) ).
fof(f219,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f77,f160]) ).
fof(f160,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f79,f8]) ).
fof(f8,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f3,axiom,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f79,plain,
! [X2,X1] : inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
inference(forward_demodulation,[],[f78,f5]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f78,plain,
! [X2,X1] : inverse(divide(divide(inverse(X1),X2),inverse(X2))) = X1,
inference(forward_demodulation,[],[f62,f8]) ).
fof(f62,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(X1,X1),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f77,plain,
! [X0,X1] : divide(X1,inverse(multiply(inverse(X1),X0))) = X0,
inference(forward_demodulation,[],[f61,f5]) ).
fof(f61,plain,
! [X0,X1] : divide(X1,inverse(divide(inverse(X1),inverse(X0)))) = X0,
inference(superposition,[],[f7,f3]) ).
fof(f386,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X1)) = multiply(X2,divide(X0,X0)),
inference(superposition,[],[f5,f229]) ).
fof(f229,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
inference(forward_demodulation,[],[f200,f129]) ).
fof(f129,plain,
! [X0,X1] : multiply(X1,inverse(inverse(inverse(X0)))) = divide(X1,X0),
inference(superposition,[],[f5,f113]) ).
fof(f113,plain,
! [X1] : inverse(inverse(inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f100,f15]) ).
fof(f15,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f8,f5]) ).
fof(f100,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(divide(X0,X0)),X1))) = X1,
inference(superposition,[],[f77,f3]) ).
fof(f200,plain,
! [X0,X1] : divide(X1,X1) = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
inference(superposition,[],[f160,f113]) ).
fof(f533,plain,
! [X0,X1] : inverse(multiply(inverse(X1),divide(X0,X0))) = X1,
inference(superposition,[],[f236,f3]) ).
fof(f236,plain,
! [X2,X0] : divide(X0,multiply(inverse(X2),X0)) = X2,
inference(backward_demodulation,[],[f232,f235]) ).
fof(f235,plain,
! [X2,X0] : multiply(X2,multiply(inverse(X0),X0)) = X2,
inference(forward_demodulation,[],[f220,f219]) ).
fof(f220,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X0),X0)) = divide(X2,divide(X1,X1)),
inference(superposition,[],[f5,f160]) ).
fof(f232,plain,
! [X2,X0,X1] : divide(X0,multiply(multiply(inverse(X2),X0),multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[],[f231,f5]) ).
fof(f231,plain,
! [X2,X0,X1] : divide(X0,multiply(divide(inverse(X2),inverse(X0)),multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[],[f213,f5]) ).
fof(f213,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X2),inverse(X0)),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f7,f160]) ).
fof(f2350,plain,
! [X2,X0,X1] : divide(divide(multiply(inverse(inverse(X0)),multiply(X2,X1)),X1),X2) = X0,
inference(forward_demodulation,[],[f2298,f1155]) ).
fof(f1155,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[],[f579,f669]) ).
fof(f579,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(backward_demodulation,[],[f526,f548]) ).
fof(f526,plain,
! [X0,X1] : inverse(inverse(inverse(X0))) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f236,f113]) ).
fof(f2298,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,multiply(inverse(inverse(X0)),multiply(X2,X1)))),X2) = X0,
inference(superposition,[],[f917,f149]) ).
fof(f149,plain,
! [X2,X0,X1] : divide(X2,divide(X1,multiply(inverse(X2),multiply(X0,X1)))) = X0,
inference(backward_demodulation,[],[f125,f141]) ).
fof(f141,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f99,f99]) ).
fof(f99,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f77,f5]) ).
fof(f125,plain,
! [X2,X0,X1] : divide(X2,divide(X1,multiply(inverse(X2),multiply(inverse(inverse(X0)),X1)))) = X0,
inference(forward_demodulation,[],[f109,f5]) ).
fof(f109,plain,
! [X2,X0,X1] : divide(X2,divide(X1,divide(inverse(X2),inverse(multiply(inverse(inverse(X0)),X1))))) = X0,
inference(superposition,[],[f7,f77]) ).
fof(f917,plain,
! [X0,X1] : divide(inverse(X1),divide(inverse(X0),X1)) = X0,
inference(superposition,[],[f236,f561]) ).
fof(f561,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(backward_demodulation,[],[f129,f548]) ).
fof(f669,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f666,f561]) ).
fof(f666,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f547,f5]) ).
fof(f547,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f530,f141]) ).
fof(f530,plain,
! [X0,X1] : divide(multiply(inverse(inverse(X0)),X1),X1) = X0,
inference(superposition,[],[f236,f99]) ).
fof(f4,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP450-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:48:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (22693)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (22698)WARNING: value z3 for option sas not known
% 0.15/0.38 % (22699)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (22700)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)
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (22697)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (22698)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)
% 0.15/0.38 % (22696)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (22702)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)
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (22701)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)
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.23/0.40 TRYING [5]
% 0.23/0.41 TRYING [4]
% 0.23/0.47 TRYING [6]
% 0.23/0.50 TRYING [1]
% 0.23/0.50 TRYING [2]
% 0.23/0.50 TRYING [3]
% 0.23/0.50 TRYING [4]
% 0.23/0.52 TRYING [5]
% 0.23/0.55 % (22701)First to succeed.
% 0.23/0.55 % (22701)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22693"
% 0.23/0.55 % (22701)Refutation found. Thanks to Tanya!
% 0.23/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.55 % (22701)------------------------------
% 0.23/0.55 % (22701)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.55 % (22701)Termination reason: Refutation
% 0.23/0.55
% 0.23/0.55 % (22701)Memory used [KB]: 2912
% 0.23/0.55 % (22701)Time elapsed: 0.162 s
% 0.23/0.55 % (22701)Instructions burned: 355 (million)
% 0.23/0.55 % (22693)Success in time 0.174 s
%------------------------------------------------------------------------------