TSTP Solution File: GRP475-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP475-1 : 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 : n022.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 12.23s 2.11s
% Output : Refutation 12.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 12 ( 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 : 201 ( 201 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f87903,plain,
$false,
inference(subsumption_resolution,[],[f86858,f77620]) ).
fof(f77620,plain,
! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f76108,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f76108,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f72331,f72331]) ).
fof(f72331,plain,
! [X2,X3] : divide(X2,X2) = inverse(multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f71937,f71119]) ).
fof(f71119,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(X2,X1),X0)),divide(X1,X2)) = X0,
inference(superposition,[],[f61312,f70260]) ).
fof(f70260,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f69423,f2]) ).
fof(f69423,plain,
! [X3,X4] : divide(X3,inverse(divide(X4,X4))) = X3,
inference(superposition,[],[f69257,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f69257,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(divide(X1,X2),inverse(divide(X0,X0))),
inference(forward_demodulation,[],[f68865,f68188]) ).
fof(f68188,plain,
! [X3,X4,X5] : divide(X4,X5) = divide(inverse(divide(X3,X3)),divide(X5,X4)),
inference(superposition,[],[f67434,f1]) ).
fof(f67434,plain,
! [X3,X0,X1,X4] : divide(X0,X1) = divide(inverse(divide(divide(X4,X3),divide(X4,X3))),divide(X1,X0)),
inference(superposition,[],[f61312,f59750]) ).
fof(f59750,plain,
! [X0,X1,X6,X7,X5] : divide(X6,X7) = multiply(divide(X1,X0),divide(divide(divide(X0,X1),X5),divide(divide(X7,X6),X5))),
inference(forward_demodulation,[],[f59305,f1335]) ).
fof(f1335,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = multiply(X4,divide(divide(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),X2))),
inference(superposition,[],[f2,f1106]) ).
fof(f1106,plain,
! [X2,X3,X4,X5] : inverse(divide(divide(divide(X3,X2),X5),divide(divide(X4,divide(X2,X3)),X5))) = X4,
inference(superposition,[],[f8,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))) = divide(inverse(divide(divide(divide(X4,X5),divide(X1,X0)),X3)),divide(X5,X4)),
inference(superposition,[],[f1,f1]) ).
fof(f59305,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(X6,X7) = multiply(divide(X1,X0),divide(divide(divide(X0,X1),X5),multiply(divide(X7,X6),divide(divide(divide(X2,X3),X4),divide(divide(X5,divide(X3,X2)),X4))))),
inference(superposition,[],[f58852,f1335]) ).
fof(f58852,plain,
! [X2,X3,X1,X4,X5] : divide(X5,X4) = multiply(divide(X1,X2),divide(multiply(divide(X2,X1),X3),multiply(divide(X4,X5),X3))),
inference(forward_demodulation,[],[f58237,f3006]) ).
fof(f3006,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X3,X4)),multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),X3))),X2) = X4,
inference(forward_demodulation,[],[f2872,f2]) ).
fof(f2872,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X3,X4)),divide(divide(X1,X0),inverse(divide(divide(divide(X0,X1),X2),X3)))),X2) = X4,
inference(superposition,[],[f2711,f2711]) ).
fof(f2711,plain,
! [X3,X6,X4,X5] : divide(divide(inverse(divide(divide(divide(X4,X5),X3),X6)),divide(X5,X4)),X3) = X6,
inference(superposition,[],[f1108,f1]) ).
fof(f1108,plain,
! [X3,X0,X1,X4,X5] : divide(divide(inverse(divide(divide(divide(X4,X5),divide(X1,X0)),X3)),divide(X5,X4)),divide(X1,X0)) = X3,
inference(superposition,[],[f1,f8]) ).
fof(f58237,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(divide(X1,X2),divide(multiply(divide(X2,X1),X3),multiply(divide(X4,X5),X3))) = divide(divide(inverse(divide(X0,divide(X5,X4))),multiply(divide(X6,X7),divide(divide(divide(X7,X6),X8),X0))),X8),
inference(superposition,[],[f3006,f1332]) ).
fof(f1332,plain,
! [X3,X0,X1,X6,X4,X5] : divide(X3,divide(X1,X0)) = divide(X3,multiply(divide(X4,X5),divide(multiply(divide(X5,X4),X6),multiply(divide(X0,X1),X6)))),
inference(superposition,[],[f29,f1106]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X3,X4),divide(X5,X4))),multiply(divide(X1,X0),divide(multiply(divide(X0,X1),X2),multiply(X3,X2)))) = X5,
inference(forward_demodulation,[],[f23,f2]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X3,X4),divide(X5,X4))),divide(divide(X1,X0),inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))))) = X5,
inference(superposition,[],[f1,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)) = X3,
inference(forward_demodulation,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(divide(X0,X1),X2),divide(X3,inverse(X2)))),divide(X1,X0)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f68865,plain,
! [X2,X3,X0,X1] : divide(divide(X1,X2),inverse(divide(X0,X0))) = divide(inverse(divide(X3,X3)),divide(X2,X1)),
inference(superposition,[],[f68188,f68188]) ).
fof(f61312,plain,
! [X2,X3,X6,X7,X5] : divide(inverse(divide(divide(X6,X5),multiply(X7,divide(divide(X3,X2),divide(divide(X5,X6),X2))))),X3) = X7,
inference(forward_demodulation,[],[f61065,f9854]) ).
fof(f9854,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X5,divide(X0,divide(X1,X2))) = multiply(X5,divide(multiply(divide(inverse(divide(divide(divide(X4,X3),X2),X0)),divide(X3,X4)),X6),multiply(X1,X6))),
inference(forward_demodulation,[],[f9668,f2]) ).
fof(f9668,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(X5,inverse(divide(X0,divide(X1,X2)))) = multiply(X5,divide(multiply(divide(inverse(divide(divide(divide(X4,X3),X2),X0)),divide(X3,X4)),X6),multiply(X1,X6))),
inference(superposition,[],[f1739,f2903]) ).
fof(f2903,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X3,divide(X4,X2))),multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),X3))) = X4,
inference(superposition,[],[f9,f2711]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(inverse(X1),X0),X2),divide(X3,X2))),multiply(X0,X1)) = X3,
inference(superposition,[],[f1,f2]) ).
fof(f1739,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = multiply(X4,divide(multiply(divide(inverse(X0),X1),X2),multiply(divide(X3,multiply(X1,X0)),X2))),
inference(superposition,[],[f2,f1409]) ).
fof(f1409,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(inverse(X1),X0),X2),multiply(divide(X3,multiply(X0,X1)),X2))) = X3,
inference(superposition,[],[f1361,f2]) ).
fof(f1361,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X0,X1),X2),multiply(divide(X3,divide(X1,X0)),X2))) = X3,
inference(forward_demodulation,[],[f1300,f2]) ).
fof(f1300,plain,
! [X2,X3,X0,X1] : inverse(divide(multiply(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),inverse(X2)))) = X3,
inference(superposition,[],[f1106,f2]) ).
fof(f61065,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(inverse(divide(divide(X6,X5),multiply(X7,divide(multiply(divide(inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2))),divide(X0,X1)),X4),multiply(divide(X5,X6),X4))))),X3) = X7,
inference(superposition,[],[f26,f59142]) ).
fof(f59142,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X3) = multiply(multiply(X0,X1),divide(multiply(divide(inverse(X1),X0),X4),multiply(divide(X3,X2),X4))),
inference(superposition,[],[f58852,f2]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(multiply(multiply(divide(X1,X0),divide(divide(divide(X0,X1),X2),divide(X3,X2))),X4),multiply(X5,X4))),X3) = X5,
inference(forward_demodulation,[],[f19,f2]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(multiply(divide(divide(X1,X0),inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2)))),X4),multiply(X5,X4))),X3) = X5,
inference(superposition,[],[f12,f1]) ).
fof(f71937,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)),X2) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[],[f2874,f71075]) ).
fof(f71075,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f70260,f2]) ).
fof(f2874,plain,
! [X2,X3,X0,X1] : inverse(X3) = divide(divide(inverse(multiply(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2),
inference(superposition,[],[f2711,f2]) ).
fof(f86858,plain,
! [X0] : multiply(inverse(a1),a1) != divide(X0,X0),
inference(superposition,[],[f3,f77620]) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP475-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.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 20:46:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (8415)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8420)WARNING: value z3 for option sas not known
% 0.15/0.38 % (8417)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (8419)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 % (8420)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 % (8423)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)
% 0.15/0.38 % (8422)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 % (8424)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 % (8421)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 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.41 TRYING [4]
% 0.22/0.42 TRYING [5]
% 2.58/0.74 TRYING [5]
% 2.58/0.74 TRYING [6]
% 7.89/1.48 TRYING [1]
% 7.89/1.48 TRYING [2]
% 7.89/1.48 TRYING [3]
% 7.89/1.49 TRYING [4]
% 8.13/1.52 TRYING [5]
% 11.46/2.02 TRYING [6]
% 12.23/2.10 % (8424)First to succeed.
% 12.23/2.11 % (8424)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8415"
% 12.23/2.11 % (8424)Refutation found. Thanks to Tanya!
% 12.23/2.11 % SZS status Unsatisfiable for theBenchmark
% 12.23/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 12.23/2.11 % (8424)------------------------------
% 12.23/2.11 % (8424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.23/2.11 % (8424)Termination reason: Refutation
% 12.23/2.11
% 12.23/2.11 % (8424)Memory used [KB]: 45110
% 12.23/2.11 % (8424)Time elapsed: 1.730 s
% 12.23/2.11 % (8424)Instructions burned: 6091 (million)
% 12.23/2.11 % (8415)Success in time 1.747 s
%------------------------------------------------------------------------------