%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP379-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:38 AM UTC 2026
% Result : Unsatisfiable 0.35s 0.48s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 38
% Syntax : Number of formulae : 316 ( 17 unt; 18 def)
% Number of atoms : 1299 ( 414 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1993 (1010 ~; 965 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f12,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f23,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f63,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f83,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| multiply(sk_c10,sk_c9) != sk_c11
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| multiply(X1,sk_c9) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| sk_c11 != multiply(X1,sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X6,X7,X4] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X6,X4] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[f106]) ).
fof(f109,definition,
( spl0_1
<=> ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f110,plain,
( ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f113,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f116,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,definition,
( spl0_4
<=> ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_5
<=> sk_c11 = multiply(sk_c10,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f122,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( sk_c11 != multiply(sk_c10,sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_6
<=> inverse(sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f126,plain,
( inverse(sk_c11) = sk_c10
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( inverse(sk_c11) != sk_c10
| spl0_6 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f107,f125,f121,f118,f115,f112,f109]) ).
fof(f134,definition,
( spl0_8
<=> sk_c11 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f136,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f154,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f156,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f159,definition,
( spl0_13
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f161,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f164,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f166,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f169,definition,
( spl0_15
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f171,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f174,definition,
( spl0_16
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f176,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f86,f134,f174]) ).
fof(f179,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f180,plain,
( sk_c10 != multiply(sk_c3,sk_c11)
| spl0_17 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f181,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( spl0_17
| spl0_8 ),
inference(avatar_split_clause,[],[f84,f134,f179]) ).
fof(f184,definition,
( spl0_18
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f186,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f195,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f184,f174]) ).
fof(f196,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f64,f184,f179]) ).
fof(f198,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f200,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f209,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f198,f174]) ).
fof(f210,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f198,f179]) ).
fof(f215,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f34,f121,f154]) ).
fof(f216,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f121,f159]) ).
fof(f217,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f30,f121,f164]) ).
fof(f218,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f121,f169]) ).
fof(f219,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f121,f174]) ).
fof(f220,plain,
( spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f121,f179]) ).
fof(f225,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f125,f154]) ).
fof(f226,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f125,f159]) ).
fof(f229,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f125,f174]) ).
fof(f230,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f125,f179]) ).
fof(f231,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f176]) ).
fof(f238,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f244,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f238,f1]) ).
fof(f247,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f231]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f261,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f248,f181]) ).
fof(f310,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f244,f261]) ).
fof(f315,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f244,f171]) ).
fof(f318,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_13 ),
inference(superposition,[],[f244,f161]) ).
fof(f335,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f318,f156]) ).
fof(f338,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f315,f166]) ).
fof(f342,plain,
( identity = sk_c10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f310,f3]) ).
fof(f377,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f244,f335]) ).
fof(f379,plain,
( identity = sk_c11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f377,f3]) ).
fof(f383,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f231,f379]) ).
fof(f392,plain,
( identity = sk_c3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f383,f1]) ).
fof(f396,plain,
( identity = multiply(identity,sk_c9)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f338,f342]) ).
fof(f397,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f396,f1]) ).
fof(f399,plain,
( sk_c11 != multiply(sk_c10,identity)
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f123,f397]) ).
fof(f400,plain,
( sk_c11 != multiply(identity,identity)
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f399,f342]) ).
fof(f402,plain,
( identity != sk_c11
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f400,f1]) ).
fof(f403,plain,
( $false
| spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f402,f379]) ).
fof(f404,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f406,plain,
( identity != inverse(sk_c11)
| spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f127,f342]) ).
fof(f408,plain,
( identity != inverse(identity)
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f406,f379]) ).
fof(f414,plain,
( sk_c11 = inverse(identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f176,f392]) ).
fof(f415,plain,
( identity = inverse(identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f414,f379]) ).
fof(f420,plain,
( $false
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f415,f408]) ).
fof(f421,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f426,plain,
( identity = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f126,f342]) ).
fof(f546,plain,
( ! [X3] :
( sk_c9 != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f113,f342]) ).
fof(f565,plain,
( sk_c11 = multiply(identity,sk_c9)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f122,f342]) ).
fof(f566,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c9 != multiply(X3,identity) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f546,f342]) ).
fof(f568,plain,
( sk_c11 = sk_c9
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f565,f1]) ).
fof(f573,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f186]) ).
fof(f582,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_18 ),
inference(superposition,[],[f244,f573]) ).
fof(f607,plain,
( identity = multiply(identity,sk_c11)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f3,f426]) ).
fof(f608,plain,
( identity = sk_c11
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f607,f1]) ).
fof(f617,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f426,f608]) ).
fof(f654,plain,
( ! [X3] :
( sk_c11 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f566,f568]) ).
fof(f655,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f654,f608]) ).
fof(f663,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f655,f3]) ).
fof(f669,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f663]) ).
fof(f671,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f669,f617]) ).
fof(f674,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f671,f617]) ).
fof(f675,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f676,plain,
( ! [X0] :
( identity != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f119,f608]) ).
fof(f677,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(X0),sk_c11)
| identity != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f676,f568]) ).
fof(f678,plain,
( ! [X0] :
( identity != multiply(inverse(X0),identity)
| identity != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f677,f608]) ).
fof(f681,plain,
( identity != multiply(sk_c11,identity)
| identity != multiply(sk_c3,sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f678,f176]) ).
fof(f691,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c3,sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f681,f608]) ).
fof(f699,plain,
( identity != multiply(sk_c3,sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f691,f1]) ).
fof(f701,plain,
( identity != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f699,f181]) ).
fof(f704,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f701,f342]) ).
fof(f705,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f706,plain,
( ! [X6,X4] :
( identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f110,f608]) ).
fof(f707,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f706,f342]) ).
fof(f708,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f707,f608]) ).
fof(f716,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c11,identity)
| identity != multiply(identity,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f708,f426]) ).
fof(f731,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c11,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f716,f1]) ).
fof(f737,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f731,f608]) ).
fof(f743,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f737,f1]) ).
fof(f756,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f743,f3]) ).
fof(f763,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f756,f617]) ).
fof(f767,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f763,f617]) ).
fof(f771,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f767,f617]) ).
fof(f776,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f771,f617]) ).
fof(f781,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f776,f617]) ).
fof(f782,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f783,plain,
( ! [X2] :
( sk_c10 != multiply(X2,identity)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f116,f608]) ).
fof(f784,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f783,f342]) ).
fof(f785,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| identity != inverse(X2) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f784,f608]) ).
fof(f789,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f785,f3]) ).
fof(f795,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f789]) ).
fof(f799,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f795,f617]) ).
fof(f806,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f799,f617]) ).
fof(f807,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f809,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_6 ),
inference(superposition,[],[f3,f126]) ).
fof(f812,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c11)
| ~ spl0_5 ),
inference(superposition,[],[f244,f122]) ).
fof(f814,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c11)
| ~ spl0_8 ),
inference(superposition,[],[f244,f136]) ).
fof(f816,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_19 ),
inference(superposition,[],[f244,f200]) ).
fof(f817,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_19 ),
inference(superposition,[],[f4,f200]) ).
fof(f818,plain,
( sk_c2 = multiply(sk_c2,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f816,f186]) ).
fof(f826,plain,
( ! [X0,X1] :
( sk_c10 != multiply(X0,multiply(X1,sk_c11))
| sk_c11 != inverse(multiply(X0,X1)) )
| ~ spl0_3 ),
inference(superposition,[],[f116,f4]) ).
fof(f834,definition,
( spl0_29
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f835,plain,
( identity = sk_c10
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f860,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f244,f818]) ).
fof(f862,plain,
( identity = sk_c11
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f860,f3]) ).
fof(f868,definition,
( spl0_33
<=> sk_c10 = sk_c2 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f869,plain,
( sk_c10 = sk_c2
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f883,plain,
( sk_c10 = inverse(identity)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f126,f862]) ).
fof(f885,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f231,f862]) ).
fof(f887,plain,
( identity = multiply(sk_c10,identity)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f809,f862]) ).
fof(f888,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f818,f862]) ).
fof(f890,plain,
( identity = sk_c3
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f885,f1]) ).
fof(f891,plain,
( ! [X0,X1] :
( sk_c10 != multiply(X0,multiply(X1,identity))
| sk_c11 != inverse(multiply(X0,X1)) )
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f826,f862]) ).
fof(f892,plain,
( ! [X0,X1] :
( sk_c10 != multiply(X0,multiply(X1,identity))
| identity != inverse(multiply(X0,X1)) )
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f891,f862]) ).
fof(f893,plain,
( sk_c10 != multiply(identity,sk_c11)
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f180,f890]) ).
fof(f896,plain,
( sk_c11 = inverse(identity)
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f176,f890]) ).
fof(f897,plain,
( identity = inverse(identity)
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f896,f862]) ).
fof(f900,plain,
( sk_c11 != sk_c10
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f893,f1]) ).
fof(f908,plain,
( ! [X0] :
( identity != sk_c10
| identity != inverse(multiply(inverse(X0),X0)) )
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f892,f244]) ).
fof(f916,plain,
( sk_c10 != multiply(sk_c11,identity)
| identity != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f892,f817]) ).
fof(f919,plain,
( sk_c10 != multiply(identity,identity)
| identity != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f916,f862]) ).
fof(f930,plain,
( identity != inverse(identity)
| identity != sk_c10
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f908,f3]) ).
fof(f934,plain,
( identity != sk_c10
| identity != inverse(multiply(sk_c1,sk_c2))
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f919,f1]) ).
fof(f949,definition,
( spl0_37
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f950,plain,
( identity = inverse(identity)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f953,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f930,f198,f184,f115,f949,f834]) ).
fof(f955,plain,
( identity != inverse(sk_c11)
| identity != sk_c10
| ~ spl0_3
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f934,f200]) ).
fof(f970,plain,
( identity != sk_c10
| identity != sk_c10
| ~ spl0_3
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f955,f126]) ).
fof(f971,plain,
( identity != sk_c10
| ~ spl0_3
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f970]) ).
fof(f979,plain,
( ~ spl0_29
| ~ spl0_3
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f971,f198,f184,f125,f115,f834]) ).
fof(f998,plain,
( ! [X0] : multiply(sk_c10,multiply(identity,X0)) = X0
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f244,f883]) ).
fof(f1000,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f998,f1]) ).
fof(f1003,plain,
( spl0_37
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f897,f198,f184,f174,f949]) ).
fof(f1013,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_37 ),
inference(superposition,[],[f883,f950]) ).
fof(f1021,plain,
( ! [X6,X4] :
( identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f110,f862]) ).
fof(f1022,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f1013,f949,f198,f184,f125,f834]) ).
fof(f1023,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1021,f862]) ).
fof(f1030,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(X0))
| identity != multiply(inverse(X0),sk_c10)
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1023,f1]) ).
fof(f1033,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| identity != multiply(X0,inverse(X0))
| identity != multiply(inverse(X0),sk_c10)
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1030,f883]) ).
fof(f1040,plain,
( ! [X0] :
( identity != multiply(inverse(X0),sk_c10)
| inverse(X0) != sk_c10
| identity != multiply(X0,inverse(X0))
| inverse(X0) != inverse(sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1033,f883]) ).
fof(f1099,plain,
( identity != sk_c11
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f900,f835]) ).
fof(f1101,plain,
( $false
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1099,f862]) ).
fof(f1102,plain,
( ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1138,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| inverse(X0) != sk_c10
| identity != multiply(X0,inverse(X0))
| identity != multiply(inverse(X0),sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1040,f835]) ).
fof(f1139,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != sk_c10
| identity != multiply(X0,inverse(X0))
| identity != multiply(inverse(X0),sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1138,f883]) ).
fof(f1140,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| identity != multiply(X0,inverse(X0))
| identity != multiply(inverse(X0),sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f1139]) ).
fof(f1141,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(X0))
| identity != multiply(inverse(X0),sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1140,f835]) ).
fof(f1142,plain,
( ! [X0] :
( identity != multiply(inverse(X0),identity)
| identity != inverse(X0)
| identity != multiply(X0,inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1141,f835]) ).
fof(f1161,plain,
( identity != multiply(sk_c10,identity)
| identity != sk_c10
| identity != multiply(sk_c11,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(superposition,[],[f1142,f126]) ).
fof(f1168,plain,
( identity != multiply(sk_c10,identity)
| identity != multiply(sk_c11,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1161,f835]) ).
fof(f1173,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c11,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1168,f835]) ).
fof(f1177,plain,
( identity != multiply(sk_c11,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1173,f1]) ).
fof(f1179,plain,
( identity != multiply(sk_c11,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1177,f835]) ).
fof(f1181,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1179,f862]) ).
fof(f1184,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1181,f1]) ).
fof(f1185,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f1322,plain,
( sk_c11 = sk_c9
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f122,f1000]) ).
fof(f1329,plain,
( identity = sk_c9
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1322,f862]) ).
fof(f1352,plain,
( sk_c9 = multiply(inverse(sk_c10),identity)
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f812,f862]) ).
fof(f1353,plain,
( identity = multiply(inverse(sk_c10),identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1352,f1329]) ).
fof(f1354,plain,
( sk_c9 = multiply(inverse(sk_c2),identity)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f814,f862]) ).
fof(f1355,plain,
( identity = multiply(inverse(sk_c2),identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1354,f1329]) ).
fof(f1367,plain,
( identity = sk_c1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1355,f582]) ).
fof(f1375,plain,
( sk_c2 = inverse(identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f186,f1367]) ).
fof(f1376,plain,
( sk_c10 = sk_c2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1375,f883]) ).
fof(f1379,plain,
( spl0_33
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1376,f198,f184,f134,f125,f121,f868]) ).
fof(f1390,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_33 ),
inference(superposition,[],[f888,f869]) ).
fof(f1395,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1390,f887]) ).
fof(f1410,plain,
( ! [X0] :
( identity != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9) )
| ~ spl0_4
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f119,f862]) ).
fof(f1425,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1395,f868,f198,f184,f125,f834]) ).
fof(f1427,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(X0),identity)
| identity != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1410,f1329]) ).
fof(f1434,plain,
( ! [X0] :
( identity != multiply(inverse(X0),identity)
| identity != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1427,f862]) ).
fof(f1439,plain,
( identity != multiply(sk_c2,identity)
| identity != multiply(sk_c1,sk_c2)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1434,f186]) ).
fof(f1452,plain,
( identity != sk_c2
| identity != multiply(sk_c1,sk_c2)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1439,f888]) ).
fof(f1458,plain,
( identity != sk_c10
| identity != multiply(sk_c1,sk_c2)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1452,f869]) ).
fof(f1463,plain,
( identity != sk_c11
| identity != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1458,f200]) ).
fof(f1465,plain,
( identity != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1463,f862]) ).
fof(f1466,plain,
( ~ spl0_29
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1465,f868,f198,f184,f125,f121,f118,f834]) ).
fof(f1467,plain,
( ! [X3] :
( identity != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f113,f1329]) ).
fof(f1486,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1467,f835]) ).
fof(f1487,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1486,f835]) ).
fof(f1491,plain,
( identity != identity
| identity != inverse(inverse(sk_c10))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(superposition,[],[f1487,f1353]) ).
fof(f1501,plain,
( identity != inverse(inverse(sk_c10))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1491]) ).
fof(f1508,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1501,f835]) ).
fof(f1515,plain,
( identity != inverse(sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1508,f883]) ).
fof(f1525,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1515,f835]) ).
fof(f1529,plain,
( identity != sk_c10
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1525,f883]) ).
fof(f1534,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1529,f835]) ).
fof(f1535,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f128]) ).
cnf(s10,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s11,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f182]) ).
cnf(s20,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s21,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f196]) ).
cnf(s30,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f209]) ).
cnf(s31,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f210]) ).
cnf(s36,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f215]) ).
cnf(s37,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f216]) ).
cnf(s38,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f217]) ).
cnf(s39,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f218]) ).
cnf(s40,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f219]) ).
cnf(s41,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f220]) ).
cnf(s46,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f225]) ).
cnf(s47,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f226]) ).
cnf(s50,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f229]) ).
cnf(s51,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f230]) ).
cnf(s52,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f404]) ).
cnf(s53,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f421]) ).
cnf(s72,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f675]) ).
cnf(s77,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f705]) ).
cnf(s82,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f782]) ).
cnf(s86,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f807]) ).
cnf(s94,plain,
( ~ spl0_3
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29
| ~ spl0_37 ),
inference(sat_conversion,[],[f953]) ).
cnf(s97,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(sat_conversion,[],[f979]) ).
cnf(s102,plain,
( ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| spl0_37 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s105,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| spl0_29
| ~ spl0_37 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s114,plain,
( ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s121,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s131,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| spl0_33 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s139,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| spl0_29
| ~ spl0_33 ),
inference(sat_conversion,[],[f1425]) ).
cnf(s152,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29
| ~ spl0_33 ),
inference(sat_conversion,[],[f1466]) ).
cnf(s157,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_29 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s160,plain,
spl0_5,
inference(rat,[],[s52,s36,s37,s38,s39,s40,s41]) ).
cnf(s161,plain,
spl0_6,
inference(rat,[],[s53,s46,s47,s50,s51]) ).
cnf(s162,plain,
( spl0_8
| ~ spl0_4 ),
inference(rat,[],[s77,s10,s11,s161,s160]) ).
cnf(s163,plain,
( ~ spl0_16
| ~ spl0_4 ),
inference(rat,[],[s152,s105,s131,s102,s21,s31,s77,s162,s160,s161]) ).
cnf(s164,plain,
~ spl0_4,
inference(rat,[],[s152,s139,s131,s20,s30,s163,s162,s160,s161]) ).
cnf(s165,plain,
( ~ spl0_16
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s139,s131,s94,s102,s21,s31,s86,s161,s160]) ).
cnf(s166,plain,
( ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s139,s131,s97,s20,s30,s165,s160,s161]) ).
cnf(s167,plain,
~ spl0_3,
inference(rat,[],[s86,s10,s11,s166,s161]) ).
cnf(s168,plain,
( spl0_17
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s157,s139,s131,s21,s31,s160,s161]) ).
cnf(s169,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s157,s139,s131,s20,s30,s72,s168,s161,s160]) ).
cnf(s170,plain,
~ spl0_2,
inference(rat,[],[s72,s10,s11,s169,s161,s160]) ).
cnf(s171,plain,
spl0_1,
inference(rat,[],[s1,s161,s164,s160,s167,s170]) ).
cnf(s172,plain,
( ~ spl0_16
| ~ spl0_8 ),
inference(rat,[],[s114,s139,s131,s21,s31,s82,s161,s160,s171]) ).
cnf(s173,plain,
( ~ spl0_18
| ~ spl0_33
| ~ spl0_19 ),
inference(rat,[],[s121,s139,s171,s161]) ).
cnf(s174,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_8 ),
inference(rat,[],[s173,s131,s161,s160]) ).
cnf(s175,plain,
~ spl0_8,
inference(rat,[],[s174,s20,s30,s172]) ).
cnf(s176,plain,
spl0_17,
inference(rat,[],[s11,s175]) ).
cnf(s177,plain,
spl0_16,
inference(rat,[],[s10,s175]) ).
cnf(s186,plain,
$false,
inference(rat,[],[s82,s171,s161,s176,s177]) ).
fof(f1541,plain,
$false,
inference(avatar_sat_refutation,[],[s186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP379-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:01:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.48 % (2093802)Will run a generic schedule for satisfiability detection.
% 0.35/0.48 % (2093807)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1241192939_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.48 % TRYING [1]
% 0.35/0.48 % TRYING [2]
% 0.35/0.48 % TRYING [3]
% 0.35/0.48 % (2093808)% WARNING: option uhcvi not known.
% 0.35/0.48 % TRYING [4]
% 0.35/0.48 % (2093810)dis+10_1_sil=32000:sp=arity:random_seed=539465609:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/0.48 % (2093809)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4134771516:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/0.48 % (2093813)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=946553355:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.48 % (2093811)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1798591773:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.48 % (2093812)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2189190157:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/0.48 % (2093808)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1804173256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/0.48 % TRYING [5]
% 0.35/0.48 % TRYING [6]
% 0.35/0.48 % (2093810) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2093802-2093810"...
% 0.35/0.48 % (2093810)...printing done.
% 0.35/0.48 % (2093810)Refutation found. Thanks to Tanya!
% 0.35/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.35/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.49 % (2093810)------------------------------
% 0.35/0.49 % (2093810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.49 % (2093810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.49 % (2093810)CaDiCaL version: 2.1.3
% 0.35/0.49 % (2093810)Termination reason: Refutation
% 0.35/0.49 % (2093810)Time elapsed: 0.031 s
% 0.35/0.49 % (2093810)Peak memory usage: 13 MB
% 0.35/0.49 % (2093810)Instructions burned: 51 (million)
% 0.35/0.49 % (2093802)Success in time 0.07 s
% 0.35/0.49 % Vampire exiting
%------------------------------------------------------------------------------