TSTP Solution File: GRP254-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP254-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n029.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 15:43:10 EDT 2023
% Result : Unsatisfiable 1.65s 0.70s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 22
% Syntax : Number of formulae : 128 ( 26 unt; 0 def)
% Number of atoms : 354 ( 292 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 391 ( 165 ~; 220 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 86 (; 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10638,plain,
$false,
inference(subsumption_resolution,[],[f10637,f10484]) ).
fof(f10484,plain,
identity = sk_c12,
inference(duplicate_literal_removal,[],[f10467]) ).
fof(f10467,plain,
( identity = sk_c12
| identity = sk_c12
| identity = sk_c12 ),
inference(superposition,[],[f10031,f9325]) ).
fof(f9325,plain,
( identity = multiply(sk_c6,sk_c9)
| identity = sk_c12 ),
inference(superposition,[],[f780,f9274]) ).
fof(f9274,plain,
( sk_c9 = inverse(sk_c6)
| identity = sk_c12 ),
inference(forward_demodulation,[],[f9264,f6010]) ).
fof(f6010,plain,
identity = sk_c10,
inference(subsumption_resolution,[],[f6009,f2671]) ).
fof(f2671,plain,
( identity != sk_c5
| identity = sk_c10 ),
inference(equality_factoring,[],[f2602]) ).
fof(f2602,plain,
( sk_c5 = sk_c10
| identity = sk_c10 ),
inference(duplicate_literal_removal,[],[f2601]) ).
fof(f2601,plain,
( sk_c5 = sk_c10
| identity = sk_c10
| sk_c5 = sk_c10 ),
inference(forward_demodulation,[],[f2600,f781]) ).
fof(f781,plain,
! [X5] : multiply(X5,identity) = X5,
inference(superposition,[],[f566,f564]) ).
fof(f564,plain,
! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f530,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',left_inverse) ).
fof(f530,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f462,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',left_identity) ).
fof(f462,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',associativity) ).
fof(f566,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f530,f530]) ).
fof(f2600,plain,
( sk_c10 = multiply(sk_c5,identity)
| identity = sk_c10
| sk_c5 = sk_c10 ),
inference(forward_demodulation,[],[f2599,f2183]) ).
fof(f2183,plain,
identity = sk_c11,
inference(duplicate_literal_removal,[],[f2168]) ).
fof(f2168,plain,
( identity = sk_c11
| identity = sk_c11
| identity = sk_c11 ),
inference(superposition,[],[f1933,f1664]) ).
fof(f1664,plain,
( identity = multiply(sk_c1,sk_c12)
| identity = sk_c11 ),
inference(superposition,[],[f780,f1650]) ).
fof(f1650,plain,
( sk_c12 = inverse(sk_c1)
| identity = sk_c11 ),
inference(duplicate_literal_removal,[],[f1638]) ).
fof(f1638,plain,
( identity = sk_c11
| sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c1) ),
inference(superposition,[],[f868,f14]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_11) ).
fof(f868,plain,
( identity = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c1) ),
inference(superposition,[],[f780,f15]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_12) ).
fof(f1933,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| identity = sk_c11 ),
inference(duplicate_literal_removal,[],[f1919]) ).
fof(f1919,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c1,sk_c12) = sk_c11
| identity = sk_c11 ),
inference(superposition,[],[f4,f1917]) ).
fof(f1917,plain,
( sk_c1 = sk_c4
| identity = sk_c11 ),
inference(duplicate_literal_removal,[],[f1896]) ).
fof(f1896,plain,
( sk_c1 = sk_c4
| identity = sk_c11
| identity = sk_c11 ),
inference(superposition,[],[f1779,f1666]) ).
fof(f1666,plain,
( sk_c1 = inverse(sk_c12)
| identity = sk_c11 ),
inference(superposition,[],[f798,f1650]) ).
fof(f798,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f781,f564]) ).
fof(f1779,plain,
( sk_c4 = inverse(sk_c12)
| identity = sk_c11 ),
inference(superposition,[],[f798,f1715]) ).
fof(f1715,plain,
( sk_c12 = inverse(sk_c4)
| identity = sk_c11 ),
inference(duplicate_literal_removal,[],[f1690]) ).
fof(f1690,plain,
( identity = sk_c11
| identity = sk_c11
| sk_c12 = inverse(sk_c4) ),
inference(superposition,[],[f1664,f5]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_2) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_1) ).
fof(f2599,plain,
( identity = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10
| sk_c5 = sk_c10 ),
inference(forward_demodulation,[],[f2598,f2183]) ).
fof(f2598,plain,
( sk_c11 = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10
| sk_c5 = sk_c10 ),
inference(forward_demodulation,[],[f2562,f1]) ).
fof(f2562,plain,
( sk_c10 = multiply(identity,sk_c11)
| multiply(sk_c5,sk_c11) = sk_c10
| sk_c5 = sk_c10 ),
inference(superposition,[],[f26,f2554]) ).
fof(f2554,plain,
( identity = sk_c2
| sk_c5 = sk_c10 ),
inference(forward_demodulation,[],[f2544,f2]) ).
fof(f2544,plain,
( sk_c2 = multiply(inverse(identity),identity)
| sk_c5 = sk_c10 ),
inference(superposition,[],[f564,f2259]) ).
fof(f2259,plain,
( identity = inverse(sk_c2)
| sk_c5 = sk_c10 ),
inference(forward_demodulation,[],[f2258,f2183]) ).
fof(f2258,plain,
( sk_c5 = sk_c10
| sk_c11 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f2204,f781]) ).
fof(f2204,plain,
( sk_c10 = multiply(sk_c5,identity)
| sk_c11 = inverse(sk_c2) ),
inference(superposition,[],[f36,f2183]) ).
fof(f36,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_33) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_23) ).
fof(f6009,plain,
( identity = sk_c5
| identity = sk_c10 ),
inference(forward_demodulation,[],[f5993,f2]) ).
fof(f5993,plain,
( sk_c5 = multiply(inverse(identity),identity)
| identity = sk_c10 ),
inference(superposition,[],[f564,f5965]) ).
fof(f5965,plain,
( identity = inverse(sk_c5)
| identity = sk_c10 ),
inference(forward_demodulation,[],[f5950,f2183]) ).
fof(f5950,plain,
( identity = sk_c10
| sk_c11 = inverse(sk_c5) ),
inference(duplicate_literal_removal,[],[f5921]) ).
fof(f5921,plain,
( identity = sk_c10
| sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c5) ),
inference(superposition,[],[f876,f27]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_24) ).
fof(f876,plain,
( identity = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c5) ),
inference(superposition,[],[f780,f37]) ).
fof(f37,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_34) ).
fof(f9264,plain,
( sk_c12 = sk_c10
| sk_c9 = inverse(sk_c6) ),
inference(duplicate_literal_removal,[],[f9217]) ).
fof(f9217,plain,
( sk_c12 = sk_c10
| sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f7168,f59]) ).
fof(f59,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_56) ).
fof(f7168,plain,
! [X0] :
( multiply(sk_c3,X0) = X0
| sk_c9 = inverse(sk_c6) ),
inference(forward_demodulation,[],[f7167,f1]) ).
fof(f7167,plain,
! [X0] :
( multiply(identity,X0) = multiply(sk_c3,multiply(identity,X0))
| sk_c9 = inverse(sk_c6) ),
inference(forward_demodulation,[],[f7160,f6010]) ).
fof(f7160,plain,
! [X0] :
( multiply(identity,X0) = multiply(sk_c3,multiply(sk_c10,X0))
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f3,f880]) ).
fof(f880,plain,
( identity = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f780,f49]) ).
fof(f49,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_46) ).
fof(f780,plain,
! [X2] : identity = multiply(X2,inverse(X2)),
inference(superposition,[],[f566,f2]) ).
fof(f10031,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| identity = sk_c12 ),
inference(duplicate_literal_removal,[],[f10030]) ).
fof(f10030,plain,
( identity = sk_c12
| sk_c12 = multiply(sk_c6,sk_c9)
| identity = sk_c12 ),
inference(forward_demodulation,[],[f10029,f6010]) ).
fof(f10029,plain,
( sk_c12 = sk_c10
| sk_c12 = multiply(sk_c6,sk_c9)
| identity = sk_c12 ),
inference(forward_demodulation,[],[f9944,f1]) ).
fof(f9944,plain,
( sk_c10 = multiply(identity,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9)
| identity = sk_c12 ),
inference(superposition,[],[f58,f9925]) ).
fof(f9925,plain,
( identity = sk_c3
| identity = sk_c12 ),
inference(forward_demodulation,[],[f9910,f2]) ).
fof(f9910,plain,
( sk_c3 = multiply(inverse(identity),identity)
| identity = sk_c12 ),
inference(superposition,[],[f564,f9700]) ).
fof(f9700,plain,
( identity = inverse(sk_c3)
| identity = sk_c12 ),
inference(forward_demodulation,[],[f9694,f6010]) ).
fof(f9694,plain,
( identity = sk_c12
| sk_c10 = inverse(sk_c3) ),
inference(duplicate_literal_removal,[],[f9682]) ).
fof(f9682,plain,
( identity = sk_c12
| identity = sk_c12
| sk_c10 = inverse(sk_c3) ),
inference(superposition,[],[f9325,f48]) ).
fof(f48,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_45) ).
fof(f58,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_55) ).
fof(f10637,plain,
identity != sk_c12,
inference(forward_demodulation,[],[f10636,f1]) ).
fof(f10636,plain,
sk_c12 != multiply(identity,identity),
inference(forward_demodulation,[],[f10634,f2183]) ).
fof(f10634,plain,
sk_c12 != multiply(identity,sk_c11),
inference(unit_resulting_resolution,[],[f2188,f10496,f6017,f6018,f2189,f798,f563,f685,f10495,f76]) ).
fof(f76,plain,
! [X10,X11,X9] :
( ~ sP5(X9)
| inverse(X11) != X9
| sk_c12 != multiply(X9,sk_c11)
| multiply(X10,X9) != X11
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| ~ sP4
| inverse(X10) != X11 ),
inference(general_splitting,[],[f74,f75_D]) ).
fof(f75,plain,
! [X8,X9] :
( sk_c12 != multiply(X8,X9)
| inverse(X8) != X9
| sP5(X9) ),
inference(cnf_transformation,[],[f75_D]) ).
fof(f75_D,plain,
! [X9] :
( ! [X8] :
( sk_c12 != multiply(X8,X9)
| inverse(X8) != X9 )
<=> ~ sP5(X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f74,plain,
! [X10,X11,X8,X9] :
( inverse(X10) != X11
| inverse(X11) != X9
| inverse(X8) != X9
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != multiply(X8,X9)
| multiply(X10,X9) != X11
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| ~ sP4 ),
inference(general_splitting,[],[f72,f73_D]) ).
fof(f73,plain,
! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| sk_c10 != inverse(X5)
| sP4 ),
inference(cnf_transformation,[],[f73_D]) ).
fof(f73_D,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| sk_c10 != inverse(X5) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f72,plain,
! [X10,X11,X8,X9,X5] :
( sk_c10 != inverse(X5)
| inverse(X10) != X11
| inverse(X11) != X9
| inverse(X8) != X9
| sk_c10 != multiply(X5,sk_c12)
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != multiply(X8,X9)
| multiply(X10,X9) != X11
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f70,f71_D]) ).
fof(f71,plain,
! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sP3 ),
inference(cnf_transformation,[],[f71_D]) ).
fof(f71_D,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f70,plain,
! [X10,X11,X8,X9,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c11 != inverse(X4)
| inverse(X10) != X11
| inverse(X11) != X9
| inverse(X8) != X9
| sk_c10 != multiply(X4,sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != multiply(X8,X9)
| multiply(X10,X9) != X11
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f68,f69_D]) ).
fof(f69,plain,
! [X7] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7)
| sP2 ),
inference(cnf_transformation,[],[f69_D]) ).
fof(f69_D,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f68,plain,
! [X10,X11,X8,X9,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c11 != inverse(X4)
| inverse(X10) != X11
| inverse(X11) != X9
| inverse(X8) != X9
| sk_c10 != multiply(X4,sk_c11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != multiply(X8,X9)
| multiply(X10,X9) != X11
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f66,f67_D]) ).
fof(f67,plain,
! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6)
| sP1 ),
inference(cnf_transformation,[],[f67_D]) ).
fof(f67_D,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f66,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c11 != inverse(X4)
| sk_c12 != inverse(X6)
| inverse(X10) != X11
| inverse(X11) != X9
| inverse(X8) != X9
| sk_c10 != multiply(X4,sk_c11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c11 != multiply(X6,sk_c12)
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != multiply(X8,X9)
| multiply(X10,X9) != X11
| ~ sP0 ),
inference(general_splitting,[],[f64,f65_D]) ).
fof(f65,plain,
! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f65_D]) ).
fof(f65_D,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c12 != inverse(X3)
| sk_c11 != inverse(X7)
| sk_c11 != inverse(X4)
| sk_c12 != inverse(X6)
| inverse(X10) != X11
| inverse(X11) != X9
| inverse(X8) != X9
| sk_c10 != multiply(X4,sk_c11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != multiply(X8,X9)
| multiply(X10,X9) != X11 ),
file('/export/starexec/sandbox2/tmp/tmp.V5vDgxaXqv/Vampire---4.8_1556',prove_this_61) ).
fof(f10495,plain,
! [X0] : sP5(X0),
inference(unit_resulting_resolution,[],[f10484,f860]) ).
fof(f860,plain,
! [X4] :
( identity != sk_c12
| sP5(X4) ),
inference(trivial_inequality_removal,[],[f837]) ).
fof(f837,plain,
! [X4] :
( X4 != X4
| identity != sk_c12
| sP5(X4) ),
inference(superposition,[],[f321,f798]) ).
fof(f321,plain,
! [X1] :
( inverse(inverse(X1)) != X1
| identity != sk_c12
| sP5(X1) ),
inference(superposition,[],[f75,f2]) ).
fof(f685,plain,
identity = inverse(identity),
inference(superposition,[],[f632,f2]) ).
fof(f632,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f530,f563]) ).
fof(f563,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f530,f1]) ).
fof(f2189,plain,
sP1,
inference(unit_resulting_resolution,[],[f2183,f859]) ).
fof(f859,plain,
( identity != sk_c11
| sP1 ),
inference(trivial_inequality_removal,[],[f846]) ).
fof(f846,plain,
( sk_c12 != sk_c12
| identity != sk_c11
| sP1 ),
inference(superposition,[],[f152,f798]) ).
fof(f152,plain,
( sk_c12 != inverse(inverse(sk_c12))
| identity != sk_c11
| sP1 ),
inference(superposition,[],[f67,f2]) ).
fof(f6018,plain,
sP2,
inference(unit_resulting_resolution,[],[f685,f6010,f2263]) ).
fof(f2263,plain,
! [X0] :
( identity != inverse(X0)
| sk_c10 != X0
| sP2 ),
inference(forward_demodulation,[],[f2262,f2183]) ).
fof(f2262,plain,
! [X0] :
( sk_c10 != X0
| inverse(X0) != sk_c11
| sP2 ),
inference(forward_demodulation,[],[f2208,f781]) ).
fof(f2208,plain,
! [X0] :
( sk_c10 != multiply(X0,identity)
| inverse(X0) != sk_c11
| sP2 ),
inference(superposition,[],[f69,f2183]) ).
fof(f6017,plain,
sP3,
inference(unit_resulting_resolution,[],[f685,f6010,f2265]) ).
fof(f2265,plain,
! [X1] :
( identity != inverse(X1)
| sk_c10 != X1
| sP3 ),
inference(forward_demodulation,[],[f2264,f2183]) ).
fof(f2264,plain,
! [X1] :
( sk_c10 != X1
| sk_c11 != inverse(X1)
| sP3 ),
inference(forward_demodulation,[],[f2209,f781]) ).
fof(f2209,plain,
! [X1] :
( sk_c10 != multiply(X1,identity)
| sk_c11 != inverse(X1)
| sP3 ),
inference(superposition,[],[f71,f2183]) ).
fof(f10496,plain,
sP4,
inference(unit_resulting_resolution,[],[f10484,f6074]) ).
fof(f6074,plain,
( identity != sk_c12
| sP4 ),
inference(trivial_inequality_removal,[],[f6041]) ).
fof(f6041,plain,
( identity != identity
| identity != sk_c12
| sP4 ),
inference(superposition,[],[f702,f6010]) ).
fof(f702,plain,
( identity != sk_c10
| identity != sk_c12
| sP4 ),
inference(inner_rewriting,[],[f701]) ).
fof(f701,plain,
( identity != sk_c10
| sk_c12 != sk_c10
| sP4 ),
inference(forward_demodulation,[],[f700,f685]) ).
fof(f700,plain,
( sk_c10 != inverse(identity)
| sk_c12 != sk_c10
| sP4 ),
inference(forward_demodulation,[],[f699,f685]) ).
fof(f699,plain,
( sk_c10 != inverse(inverse(identity))
| sk_c12 != sk_c10
| sP4 ),
inference(forward_demodulation,[],[f692,f685]) ).
fof(f692,plain,
( sk_c12 != sk_c10
| sk_c10 != inverse(inverse(inverse(identity)))
| sP4 ),
inference(superposition,[],[f73,f632]) ).
fof(f2188,plain,
sP0,
inference(unit_resulting_resolution,[],[f2183,f858]) ).
fof(f858,plain,
( identity != sk_c11
| sP0 ),
inference(trivial_inequality_removal,[],[f847]) ).
fof(f847,plain,
( sk_c12 != sk_c12
| identity != sk_c11
| sP0 ),
inference(superposition,[],[f112,f798]) ).
fof(f112,plain,
( sk_c12 != inverse(inverse(sk_c12))
| identity != sk_c11
| sP0 ),
inference(superposition,[],[f65,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP254-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % 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 : Wed Aug 30 17:45:57 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.42 % (1739)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (1744)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)
% 0.21/0.43 % (1741)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43 % (1740)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43 % (1743)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (1742)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)
% 0.21/0.43 % (1748)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)
% 0.21/0.43 % (1750)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)
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.44 TRYING [3]
% 0.21/0.44 TRYING [1]
% 0.21/0.45 TRYING [2]
% 0.21/0.46 TRYING [4]
% 0.21/0.46 TRYING [3]
% 0.21/0.50 TRYING [4]
% 0.21/0.50 TRYING [5]
% 0.21/0.56 TRYING [6]
% 1.65/0.68 TRYING [7]
% 1.65/0.69 % (1750)First to succeed.
% 1.65/0.70 % (1750)Refutation found. Thanks to Tanya!
% 1.65/0.70 % SZS status Unsatisfiable for Vampire---4
% 1.65/0.70 % SZS output start Proof for Vampire---4
% See solution above
% 1.65/0.70 % (1750)------------------------------
% 1.65/0.70 % (1750)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.65/0.70 % (1750)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.65/0.70 % (1750)Termination reason: Refutation
% 1.65/0.70
% 1.65/0.70 % (1750)Memory used [KB]: 2302
% 1.65/0.70 % (1750)Time elapsed: 0.268 s
% 1.65/0.70 % (1750)------------------------------
% 1.65/0.70 % (1750)------------------------------
% 1.65/0.70 % (1739)Success in time 0.331 s
% 1.65/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------