TSTP Solution File: GRP478-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP478-1 : 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 : n009.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 06:09:13 EDT 2024
% Result : Unsatisfiable 3.07s 0.83s
% Output : Refutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 186 ( 186 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24154,plain,
$false,
inference(subsumption_resolution,[],[f23483,f16294]) ).
fof(f16294,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[],[f14901,f14899]) ).
fof(f14899,plain,
! [X3,X0] : divide(X0,divide(X3,X3)) = X0,
inference(forward_demodulation,[],[f14669,f14890]) ).
fof(f14890,plain,
! [X2,X0,X1] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,X1))) = X2,
inference(forward_demodulation,[],[f14660,f14391]) ).
fof(f14391,plain,
! [X2,X3,X0,X1] : multiply(X1,divide(divide(divide(X0,X0),X3),divide(divide(X2,X2),X3))) = X1,
inference(superposition,[],[f14268,f1705]) ).
fof(f1705,plain,
! [X2,X3,X1,X4] : divide(divide(X2,X3),divide(X1,X3)) = divide(divide(X2,X4),divide(X1,X4)),
inference(superposition,[],[f333,f1483]) ).
fof(f1483,plain,
! [X2,X6,X4,X5] : inverse(divide(divide(divide(X4,X4),X5),divide(divide(X6,X2),divide(X5,X2)))) = X6,
inference(superposition,[],[f329,f333]) ).
fof(f329,plain,
! [X2,X3,X1,X4,X5] : inverse(divide(divide(divide(X4,X4),X5),divide(divide(X2,divide(X1,X3)),divide(X5,divide(X1,X3))))) = X2,
inference(superposition,[],[f8,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4),
inference(superposition,[],[f1,f1]) ).
fof(f333,plain,
! [X2,X3,X4,X5] : divide(divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4),divide(X3,X4)) = X2,
inference(superposition,[],[f1,f8]) ).
fof(f14268,plain,
! [X3,X0,X6,X5] : multiply(X5,divide(divide(divide(X6,X6),X5),divide(divide(X0,X0),X3))) = X3,
inference(forward_demodulation,[],[f14098,f1483]) ).
fof(f14098,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(divide(X1,X1),X2),divide(divide(X3,X4),divide(X2,X4)))) = multiply(X5,divide(divide(divide(X6,X6),X5),divide(divide(X0,X0),X3))),
inference(superposition,[],[f13677,f1707]) ).
fof(f1707,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,X3)))) = divide(X4,X2),
inference(superposition,[],[f2,f1483]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f13677,plain,
! [X2,X3,X1,X4] : inverse(X4) = multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X4))),
inference(forward_demodulation,[],[f13456,f743]) ).
fof(f743,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = divide(divide(inverse(multiply(X2,X3)),X4),divide(multiply(X1,divide(divide(divide(X0,X0),X1),X2)),X4)),
inference(forward_demodulation,[],[f696,f2]) ).
fof(f696,plain,
! [X2,X3,X0,X1,X4] : inverse(X3) = divide(divide(inverse(multiply(X2,X3)),X4),divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)),
inference(superposition,[],[f456,f333]) ).
fof(f456,plain,
! [X2,X3,X0,X1] : inverse(X2) = divide(divide(inverse(multiply(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)),
inference(superposition,[],[f333,f2]) ).
fof(f13456,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X4))) = divide(divide(inverse(multiply(X0,X4)),X5),divide(multiply(X6,divide(divide(divide(X7,X7),X6),X0)),X5)),
inference(superposition,[],[f494,f13039]) ).
fof(f13039,plain,
! [X2,X0,X1,X4,X5] : multiply(X2,X1) = divide(X2,multiply(X4,divide(divide(divide(X5,X5),X4),multiply(divide(X0,X0),X1)))),
inference(superposition,[],[f1927,f551]) ).
fof(f551,plain,
! [X2,X3,X0,X1,X4] : divide(multiply(inverse(divide(X2,X3)),X4),multiply(multiply(X1,divide(divide(divide(X0,X0),X1),X2)),X4)) = X3,
inference(forward_demodulation,[],[f522,f2]) ).
fof(f522,plain,
! [X2,X3,X0,X1,X4] : divide(multiply(inverse(divide(X2,X3)),X4),multiply(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)) = X3,
inference(superposition,[],[f495,f333]) ).
fof(f495,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = X2,
inference(forward_demodulation,[],[f460,f2]) ).
fof(f460,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,inverse(X3))) = X2,
inference(superposition,[],[f333,f2]) ).
fof(f1927,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X1) = divide(multiply(inverse(divide(multiply(divide(X0,X0),X3),multiply(X2,X3))),X4),multiply(X1,X4)),
inference(superposition,[],[f495,f1704]) ).
fof(f1704,plain,
! [X2,X3,X1,X4] : divide(divide(X2,X3),divide(X1,X3)) = divide(multiply(X2,X4),multiply(X1,X4)),
inference(superposition,[],[f495,f1483]) ).
fof(f494,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X2,X3)),X4),divide(multiply(X1,divide(divide(divide(X0,X0),X1),X2)),X4)) = X3,
inference(forward_demodulation,[],[f454,f2]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X2,X3)),X4),divide(divide(X1,inverse(divide(divide(divide(X0,X0),X1),X2))),X4)) = X3,
inference(superposition,[],[f333,f333]) ).
fof(f14660,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,divide(divide(divide(X3,X3),X4),divide(divide(X5,X5),X4)))))) = X2,
inference(superposition,[],[f14391,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
inference(forward_demodulation,[],[f9,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = X2,
inference(superposition,[],[f1,f2]) ).
fof(f14669,plain,
! [X2,X3,X0,X4] : divide(X0,inverse(divide(divide(divide(X4,X4),X2),divide(divide(X3,X3),X2)))) = X0,
inference(superposition,[],[f14391,f2782]) ).
fof(f2782,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,divide(divide(divide(X0,X0),X1),X2)) = divide(X4,inverse(divide(divide(divide(X3,X3),X1),X2))),
inference(superposition,[],[f2,f1523]) ).
fof(f1523,plain,
! [X2,X0,X1,X5] : inverse(divide(divide(divide(X0,X0),X1),X2)) = inverse(divide(divide(divide(X5,X5),X1),X2)),
inference(superposition,[],[f329,f333]) ).
fof(f14901,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[],[f14900,f14899]) ).
fof(f14900,plain,
! [X2,X0,X1] : multiply(inverse(divide(X0,X1)),divide(X0,divide(X2,X2))) = X1,
inference(forward_demodulation,[],[f14670,f14391]) ).
fof(f14670,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(divide(X0,X1)),divide(X0,multiply(divide(X2,X2),divide(divide(divide(X3,X3),X4),divide(divide(X5,X5),X4))))) = X1,
inference(superposition,[],[f14391,f13665]) ).
fof(f13665,plain,
! [X0,X1,X6,X5] : multiply(multiply(inverse(divide(X0,X1)),divide(X0,multiply(divide(X5,X5),X6))),X6) = X1,
inference(forward_demodulation,[],[f13369,f7758]) ).
fof(f7758,plain,
! [X3,X0,X1,X6,X4,X5] : multiply(X5,divide(divide(divide(X6,X6),multiply(X3,divide(divide(divide(X4,X4),X3),X0))),X1)) = multiply(X5,divide(X0,X1)),
inference(forward_demodulation,[],[f7656,f2]) ).
fof(f7656,plain,
! [X3,X0,X1,X6,X4,X5] : divide(X5,inverse(divide(X0,X1))) = multiply(X5,divide(divide(divide(X6,X6),multiply(X3,divide(divide(divide(X4,X4),X3),X0))),X1)),
inference(superposition,[],[f1707,f494]) ).
fof(f13369,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(inverse(divide(X0,X1)),divide(divide(divide(X2,X2),multiply(X3,divide(divide(divide(X4,X4),X3),X0))),multiply(divide(X5,X5),X6))),X6) = X1,
inference(superposition,[],[f13039,f551]) ).
fof(f23483,plain,
! [X0] : divide(X0,X0) != multiply(inverse(a1),a1),
inference(superposition,[],[f3,f16294]) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n009.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:41:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (14183)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (14188)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)
% 0.14/0.38 % (14186)WARNING: value z3 for option sas not known
% 0.14/0.38 % (14187)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (14185)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (14189)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)
% 0.14/0.38 % (14190)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)
% 0.14/0.38 % (14186)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)
% 0.14/0.38 % (14184)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.41 TRYING [4]
% 0.21/0.43 TRYING [5]
% 2.04/0.64 TRYING [6]
% 3.07/0.83 % (14190)First to succeed.
% 3.07/0.83 % (14190)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14183"
% 3.07/0.83 % (14190)Refutation found. Thanks to Tanya!
% 3.07/0.83 % SZS status Unsatisfiable for theBenchmark
% 3.07/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 3.07/0.83 % (14190)------------------------------
% 3.07/0.83 % (14190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.07/0.83 % (14190)Termination reason: Refutation
% 3.07/0.83
% 3.07/0.83 % (14190)Memory used [KB]: 12398
% 3.07/0.83 % (14190)Time elapsed: 0.456 s
% 3.07/0.83 % (14190)Instructions burned: 1397 (million)
% 3.07/0.83 % (14183)Success in time 0.464 s
%------------------------------------------------------------------------------