TSTP Solution File: GRP523-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.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 : Fri Sep 1 15:55:48 EDT 2023
% Result : Unsatisfiable 0.11s 0.61s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 45 unt; 0 def)
% Number of atoms : 63 ( 48 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 7 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 99 (; 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20630,plain,
$false,
inference(avatar_smt_refutation,[],[f10,f2591,f2592,f20445]) ).
fof(f20445,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f20444]) ).
fof(f20444,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f20386]) ).
fof(f20386,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f9,f8908]) ).
fof(f8908,plain,
! [X162,X163,X161] : multiply(multiply(X163,X162),X161) = multiply(X163,multiply(X162,X161)),
inference(forward_demodulation,[],[f8907,f49]) ).
fof(f49,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/tmp/tmp.4wLOkfRaEK/Vampire---4.8_15775',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/tmp/tmp.4wLOkfRaEK/Vampire---4.8_15775',multiply) ).
fof(f8907,plain,
! [X162,X163,X161] : divide(X163,inverse(multiply(X162,X161))) = multiply(multiply(X163,X162),X161),
inference(forward_demodulation,[],[f8799,f49]) ).
fof(f8799,plain,
! [X162,X163,X161] : divide(X163,inverse(multiply(X162,X161))) = divide(multiply(X163,X162),inverse(X161)),
inference(superposition,[],[f5837,f1458]) ).
fof(f1458,plain,
! [X6,X5] : divide(inverse(X6),inverse(multiply(X5,X6))) = X5,
inference(forward_demodulation,[],[f1385,f776]) ).
fof(f776,plain,
! [X10,X9] : inverse(X10) = divide(divide(X9,X10),X9),
inference(forward_demodulation,[],[f750,f3]) ).
fof(f750,plain,
! [X10,X11,X9] : divide(divide(X9,X10),X9) = divide(divide(X11,X11),X10),
inference(superposition,[],[f728,f342]) ).
fof(f342,plain,
! [X2,X3] : inverse(divide(divide(X3,X2),X3)) = X2,
inference(superposition,[],[f36,f290]) ).
fof(f290,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X1))) = X0,
inference(superposition,[],[f23,f3]) ).
fof(f23,plain,
! [X2,X0,X1] : divide(X1,divide(divide(X2,divide(X0,X1)),X2)) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox2/tmp/tmp.4wLOkfRaEK/Vampire---4.8_15775',single_axiom) ).
fof(f36,plain,
! [X4,X5] : inverse(divide(X4,divide(X5,inverse(X4)))) = X5,
inference(forward_demodulation,[],[f30,f3]) ).
fof(f30,plain,
! [X3,X4,X5] : inverse(divide(X4,divide(X5,divide(divide(X3,X3),X4)))) = X5,
inference(superposition,[],[f1,f3]) ).
fof(f728,plain,
! [X2,X1] : divide(divide(X2,X2),inverse(X1)) = X1,
inference(forward_demodulation,[],[f701,f371]) ).
fof(f371,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f356,f63]) ).
fof(f63,plain,
! [X0,X1] : inverse(inverse(multiply(X1,divide(X0,X0)))) = X1,
inference(superposition,[],[f54,f3]) ).
fof(f54,plain,
! [X0,X1] : inverse(divide(X1,multiply(X0,X1))) = X0,
inference(superposition,[],[f36,f49]) ).
fof(f356,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(superposition,[],[f334,f57]) ).
fof(f57,plain,
! [X6,X7] : inverse(X7) = divide(multiply(inverse(X6),X6),X7),
inference(superposition,[],[f3,f49]) ).
fof(f334,plain,
! [X2,X3] : divide(multiply(X3,X2),X3) = X2,
inference(superposition,[],[f290,f54]) ).
fof(f701,plain,
! [X2,X0,X1] : divide(divide(X2,X2),inverse(multiply(X1,divide(X0,X0)))) = X1,
inference(superposition,[],[f418,f3]) ).
fof(f418,plain,
! [X2,X0,X1] : divide(divide(X0,X0),divide(X1,multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f19,f49]) ).
fof(f19,plain,
! [X2,X0,X1] : divide(divide(X0,X0),divide(X1,divide(X2,inverse(X1)))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f1385,plain,
! [X6,X7,X5] : divide(inverse(X6),divide(divide(X7,multiply(X5,X6)),X7)) = X5,
inference(superposition,[],[f1,f58]) ).
fof(f58,plain,
! [X10,X8,X9] : divide(X8,divide(inverse(X9),divide(X10,multiply(X8,X9)))) = X10,
inference(superposition,[],[f1,f49]) ).
fof(f5837,plain,
! [X58,X57,X55] : divide(X58,X55) = divide(multiply(X58,divide(X57,X55)),X57),
inference(forward_demodulation,[],[f5836,f49]) ).
fof(f5836,plain,
! [X58,X57,X55] : divide(X58,X55) = divide(divide(X58,inverse(divide(X57,X55))),X57),
inference(forward_demodulation,[],[f5713,f776]) ).
fof(f5713,plain,
! [X58,X56,X57,X55] : divide(X58,X55) = divide(divide(X58,divide(divide(X56,divide(X57,X55)),X56)),X57),
inference(superposition,[],[f297,f23]) ).
fof(f297,plain,
! [X3,X4,X5] : divide(X4,X5) = divide(divide(X4,X3),divide(X5,X3)),
inference(superposition,[],[f1,f23]) ).
fof(f9,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f7,plain,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2592,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f604,f7,f2588]) ).
fof(f2588,plain,
( spl0_2
<=> multiply(a3,multiply(b3,c3)) = multiply(c3,multiply(a3,b3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f604,plain,
( multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3))
| spl0_1 ),
inference(superposition,[],[f9,f541]) ).
fof(f541,plain,
! [X4,X5] : multiply(X4,X5) = multiply(X5,X4),
inference(superposition,[],[f336,f496]) ).
fof(f496,plain,
! [X10,X11] : divide(multiply(X10,X11),X11) = X10,
inference(superposition,[],[f441,f334]) ).
fof(f441,plain,
! [X2,X3] : divide(X3,divide(X3,X2)) = X2,
inference(superposition,[],[f1,f335]) ).
fof(f335,plain,
! [X4,X5] : divide(X4,divide(X5,X5)) = X4,
inference(superposition,[],[f290,f142]) ).
fof(f142,plain,
! [X10,X9] : inverse(divide(X9,X9)) = divide(X10,X10),
inference(superposition,[],[f117,f3]) ).
fof(f117,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f73,f73]) ).
fof(f73,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f72,f49]) ).
fof(f72,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,inverse(inverse(X1)))),
inference(superposition,[],[f54,f51]) ).
fof(f51,plain,
! [X2,X3] : inverse(inverse(X3)) = multiply(divide(X2,X2),X3),
inference(superposition,[],[f49,f3]) ).
fof(f336,plain,
! [X2,X3] : multiply(X2,divide(X3,X2)) = X3,
inference(superposition,[],[f290,f49]) ).
fof(f2591,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f593,f7,f2588]) ).
fof(f593,plain,
( multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3))
| spl0_1 ),
inference(superposition,[],[f9,f541]) ).
fof(f10,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f4,f7]) ).
fof(f4,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/tmp/tmp.4wLOkfRaEK/Vampire---4.8_15775',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.08 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Wed Aug 30 17:33:17 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.32 % (15882)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.32 % (15884)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.07/0.32 % (15885)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 Vampire---4 for (569ds/0Mi)
% 0.07/0.32 % (15887)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 Vampire---4 for (531ds/0Mi)
% 0.07/0.32 % (15888)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 Vampire---4 for (522ds/0Mi)
% 0.07/0.32 % (15889)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 Vampire---4 for (497ds/0Mi)
% 0.07/0.32 % (15883)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.07/0.32 % (15886)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.07/0.32 TRYING [1]
% 0.07/0.32 TRYING [2]
% 0.07/0.32 TRYING [1]
% 0.07/0.32 TRYING [2]
% 0.07/0.32 TRYING [3]
% 0.07/0.33 TRYING [3]
% 0.07/0.33 TRYING [4]
% 0.11/0.34 TRYING [5]
% 0.11/0.34 TRYING [4]
% 0.11/0.37 TRYING [6]
% 0.11/0.40 TRYING [5]
% 0.11/0.47 TRYING [7]
% 0.11/0.61 % (15885)First to succeed.
% 0.11/0.61 % (15885)Refutation found. Thanks to Tanya!
% 0.11/0.61 % SZS status Unsatisfiable for Vampire---4
% 0.11/0.61 % SZS output start Proof for Vampire---4
% See solution above
% 0.11/0.61 % (15885)------------------------------
% 0.11/0.61 % (15885)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.11/0.61 % (15885)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.11/0.61 % (15885)Termination reason: Refutation
% 0.11/0.61
% 0.11/0.61 % (15885)Memory used [KB]: 19957
% 0.11/0.61 % (15885)Time elapsed: 0.288 s
% 0.11/0.61 % (15885)------------------------------
% 0.11/0.61 % (15885)------------------------------
% 0.11/0.61 % (15882)Success in time 0.319 s
% 0.11/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------