%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP365-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:17:36 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 51
% Syntax : Number of formulae : 354 ( 26 unt; 17 def)
% Number of atoms : 1218 ( 332 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1652 ( 788 ~; 847 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,X0) != sk_c7
| multiply(X1,sk_c8) != X0
| inverse(X1) != sk_c8
| multiply(X2,sk_c6) != sk_c8
| inverse(X2) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X3,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c6,sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,X0)
| multiply(X1,sk_c8) != X0
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X1,X4] :
( multiply(sk_c6,sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X1,sk_c8))
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c6)
| sk_c6 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> ! [X1] :
( sk_c7 != multiply(sk_c8,multiply(X1,sk_c8))
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X1] :
( sk_c7 != multiply(sk_c8,multiply(X1,sk_c8))
| sk_c8 != inverse(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_6
<=> multiply(sk_c6,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( multiply(sk_c6,sk_c8) = sk_c7
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( multiply(sk_c6,sk_c8) != sk_c7
| spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f67,f85,f82,f79,f75,f72,f69]) ).
fof(f90,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f64,f94,f90]) ).
fof(f99,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f94,f99]) ).
fof(f104,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f60,f94,f104]) ).
fof(f109,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f58,f94,f109]) ).
fof(f113,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f94,f75]) ).
fof(f115,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f117,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f54,f115,f90]) ).
fof(f119,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f52,f115,f99]) ).
fof(f120,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f50,f115,f104]) ).
fof(f121,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f48,f115,f109]) ).
fof(f122,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f46,f115,f75]) ).
fof(f124,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f126,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f124,f90]) ).
fof(f128,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f124,f99]) ).
fof(f129,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f40,f124,f104]) ).
fof(f130,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f38,f124,f109]) ).
fof(f131,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f36,f124,f75]) ).
fof(f133,definition,
( spl0_14
<=> sk_c2 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f135,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f133,f90]) ).
fof(f137,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f133,f99]) ).
fof(f138,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f133,f104]) ).
fof(f139,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f28,f133,f109]) ).
fof(f140,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f26,f133,f75]) ).
fof(f142,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c8,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f144,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f142,f90]) ).
fof(f146,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f142,f99]) ).
fof(f147,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f142,f104]) ).
fof(f148,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f142,f109]) ).
fof(f149,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f16,f142,f75]) ).
fof(f150,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f85,f90]) ).
fof(f151,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f85,f99]) ).
fof(f152,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f85,f104]) ).
fof(f153,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f85,f109]) ).
fof(f154,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f85,f75]) ).
fof(f155,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f161,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f155]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f111]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f161,f1]) ).
fof(f165,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f159,f1]) ).
fof(f173,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f164,f101]) ).
fof(f184,plain,
( multiply(sk_c4,sk_c8) = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f162,f173]) ).
fof(f186,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f184,f111]) ).
fof(f205,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f165,f3]) ).
fof(f206,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f165,f165]) ).
fof(f208,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_7 ),
inference(superposition,[],[f165,f164]) ).
fof(f213,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f165,f186]) ).
fof(f214,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f165,f111]) ).
fof(f223,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f214,f106]) ).
fof(f224,plain,
( identity = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f213,f3]) ).
fof(f227,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f205,f206]) ).
fof(f228,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f227,f224]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1,f224]) ).
fof(f231,plain,
( sk_c6 = sk_c8
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f76,f223]) ).
fof(f234,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f165,f223]) ).
fof(f236,plain,
( identity = sk_c7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f234,f3]) ).
fof(f239,plain,
( sk_c6 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f236,f224]) ).
fof(f241,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f239,f231]) ).
fof(f244,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f173,f231]) ).
fof(f245,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f87,f231]) ).
fof(f246,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f245,f241]) ).
fof(f248,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f246,f244]) ).
fof(f249,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f250,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c8 != X2 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f80,f228]) ).
fof(f252,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != X2 )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f250,f231]) ).
fof(f263,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f228,f231]) ).
fof(f271,plain,
( identity = inverse(sk_c6)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f3,f228]) ).
fof(f275,plain,
( sk_c6 = multiply(sk_c8,sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f164,f228]) ).
fof(f276,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f275,f231]) ).
fof(f280,plain,
( identity = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f271,f231]) ).
fof(f283,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f280,f224]) ).
fof(f285,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f283,f231]) ).
fof(f287,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f252,f285]) ).
fof(f290,plain,
( sk_c8 != sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f291,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f290]) ).
fof(f292,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f294,plain,
( sk_c8 = sk_c3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f117,f228]) ).
fof(f295,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f86,f229]) ).
fof(f303,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f165,f96]) ).
fof(f304,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f3,f96]) ).
fof(f305,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f304,f229]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f303,f229]) ).
fof(f307,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f305,f294]) ).
fof(f308,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f306,f294]) ).
fof(f310,plain,
( sk_c6 = sk_c8
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f224,f307]) ).
fof(f312,plain,
( ! [X0] : multiply(X0,sk_c8) = X0
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f228,f310]) ).
fof(f317,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f126]) ).
fof(f324,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_14 ),
inference(superposition,[],[f165,f135]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c2,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f135]) ).
fof(f327,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f324,f126]) ).
fof(f330,plain,
( sk_c8 = sk_c2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f327,f308]) ).
fof(f335,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f165,f144]) ).
fof(f338,plain,
( sk_c2 = multiply(sk_c5,sk_c7)
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f335,f208]) ).
fof(f343,plain,
( multiply(sk_c5,sk_c8) = sk_c2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f338,f295]) ).
fof(f348,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f343,f330]) ).
fof(f350,plain,
( sk_c8 = sk_c5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f348,f312]) ).
fof(f359,plain,
( sk_c6 != sk_c8
| sk_c8 != sk_c5
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f250,f92]) ).
fof(f366,plain,
( sk_c8 != sk_c5
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f359,f310]) ).
fof(f369,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f366,f350]) ).
fof(f370,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f373,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f165,f117]) ).
fof(f375,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f373,f96]) ).
fof(f379,plain,
( sk_c8 != sk_c8
| sk_c6 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f80,f117]) ).
fof(f380,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f379]) ).
fof(f381,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f380,f96]) ).
fof(f382,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f388,definition,
( spl0_17
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f389,plain,
( identity = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f390,plain,
( identity != sk_c8
| spl0_17 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f397,definition,
( spl0_19
<=> sk_c6 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f398,plain,
( sk_c6 = sk_c8
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( sk_c6 != sk_c8
| spl0_19 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f401,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_8 ),
inference(superposition,[],[f165,f304]) ).
fof(f404,plain,
( sk_c3 = inverse(sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f401,f227]) ).
fof(f410,plain,
( sk_c6 != sk_c6
| sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f70,f101]) ).
fof(f411,plain,
( sk_c6 != sk_c2
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f70,f135]) ).
fof(f413,plain,
( sk_c6 != sk_c2
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f411,f126]) ).
fof(f440,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_13 ),
inference(superposition,[],[f165,f317]) ).
fof(f443,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f440,f227]) ).
fof(f447,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f3,f404]) ).
fof(f448,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f447,f117]) ).
fof(f449,plain,
( spl0_17
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f448,f115,f94,f388]) ).
fof(f450,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_17 ),
inference(superposition,[],[f1,f389]) ).
fof(f451,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl0_13 ),
inference(superposition,[],[f165,f443]) ).
fof(f452,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f3,f443]) ).
fof(f453,plain,
( identity = sk_c2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f452,f135]) ).
fof(f454,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f451,f450]) ).
fof(f455,plain,
( sk_c8 = sk_c2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f453,f389]) ).
fof(f461,plain,
( sk_c6 != sk_c8
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f413,f455]) ).
fof(f462,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f144,f455]) ).
fof(f463,plain,
( sk_c8 = sk_c7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f462,f450]) ).
fof(f465,plain,
( multiply(sk_c2,sk_c7) = multiply(sk_c1,sk_c6)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f325,f76]) ).
fof(f474,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f465,f454]) ).
fof(f480,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f474,f463]) ).
fof(f485,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f480,f455]) ).
fof(f487,plain,
( sk_c6 = sk_c8
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f485,f450]) ).
fof(f489,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f487,f399]) ).
fof(f490,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f495,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f461,f398]) ).
fof(f496,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f498,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f73,f463]) ).
fof(f512,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f498,f3]) ).
fof(f520,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f512,f389]) ).
fof(f525,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f520,f443]) ).
fof(f529,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f525,f126]) ).
fof(f530,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f531,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f83,f450]) ).
fof(f532,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f531,f463]) ).
fof(f542,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f532,f3]) ).
fof(f550,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f542,f389]) ).
fof(f555,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f550,f443]) ).
fof(f560,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f555,f126]) ).
fof(f561,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f562,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f410]) ).
fof(f568,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f562,f99,f69,f90]) ).
fof(f574,plain,
( sk_c8 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f276,f450]) ).
fof(f590,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f236,f241]) ).
fof(f636,plain,
( ! [X3] :
( sk_c7 != X3
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f73,f263]) ).
fof(f652,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f590,f390]) ).
fof(f653,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f656,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != X3 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f636,f241]) ).
fof(f724,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_17 ),
inference(superposition,[],[f1,f389]) ).
fof(f742,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f656,f92]) ).
fof(f745,plain,
( sk_c8 != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f742]) ).
fof(f748,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f745,f574]) ).
fof(f749,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f751,plain,
( ! [X1] :
( sk_c7 != X1
| sk_c8 != inverse(X1) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f531,f263]) ).
fof(f753,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != X1 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f751,f241]) ).
fof(f758,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f753,f92]) ).
fof(f761,plain,
( sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f758]) ).
fof(f764,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f761,f574]) ).
fof(f765,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f811,plain,
( sk_c6 != sk_c7
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f77,f724]) ).
fof(f826,plain,
( sk_c6 != sk_c8
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f811,f463]) ).
fof(f831,plain,
( $false
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f826,f398]) ).
fof(f832,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f903,plain,
( sk_c6 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f375,f86]) ).
fof(f910,plain,
( sk_c6 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f903,f463]) ).
fof(f913,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f910,f399]) ).
fof(f914,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f913]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f97]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f107]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f112]) ).
cnf(s6,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f113]) ).
cnf(s7,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s9,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s10,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s11,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s12,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f130]) ).
cnf(s16,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f131]) ).
cnf(s17,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s18,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s19,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s20,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s21,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s22,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s23,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s24,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s25,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s26,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s27,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f150]) ).
cnf(s28,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f151]) ).
cnf(s29,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s30,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f153]) ).
cnf(s31,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f154]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f249]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f292]) ).
cnf(s36,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f370]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f382]) ).
cnf(s43,plain,
( ~ spl0_8
| ~ spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f449]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f490]) ).
cnf(s47,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f496]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f530]) ).
cnf(s55,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f561]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f568]) ).
cnf(s69,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f653]) ).
cnf(s90,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f749]) ).
cnf(s92,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f765]) ).
cnf(s96,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f832]) ).
cnf(s99,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f914]) ).
cnf(s100,plain,
spl0_3,
inference(rat,[],[s96,s99,s43,s6,s11,s16,s21,s26,s31]) ).
cnf(s101,plain,
spl0_6,
inference(rat,[],[s32,s27,s28,s29,s30,s100]) ).
cnf(s102,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s69,s92,s100]) ).
cnf(s103,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s43,s55,s10,s15,s20,s25]) ).
cnf(s104,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s43,s55,s9,s14,s19,s24]) ).
cnf(s105,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s43,s55,s8,s13,s18,s23,s102,s104,s103]) ).
cnf(s106,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s102,s3,s4,s5,s105]) ).
cnf(s107,plain,
~ spl0_5,
inference(rat,[],[s43,s55,s2,s7,s12,s17,s22,s106]) ).
cnf(s108,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s37,s5,s10]) ).
cnf(s109,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_4
| ~ spl0_11 ),
inference(rat,[],[s36,s4,s9,s14,s19,s24,s33,s100,s101]) ).
cnf(s110,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s37,s3,s8]) ).
cnf(s111,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s37,s2,s7,s109]) ).
cnf(s112,plain,
~ spl0_4,
inference(rat,[],[s111,s110,s108]) ).
cnf(s113,plain,
( ~ spl0_17
| ~ spl0_11
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s51,s14,s19,s24,s90,s100]) ).
cnf(s114,plain,
( spl0_17
| ~ spl0_11
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s43,s4,s9,s69,s100]) ).
cnf(s115,plain,
( ~ spl0_11
| ~ spl0_9
| ~ spl0_2
| ~ spl0_7 ),
inference(rat,[],[s114,s113]) ).
cnf(s116,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s43,s51,s5,s10,s15,s20,s25]) ).
cnf(s117,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s43,s51,s3,s8,s13,s18,s23]) ).
cnf(s118,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s43,s51,s2,s7,s12,s17,s22,s115]) ).
cnf(s119,plain,
~ spl0_2,
inference(rat,[],[s118,s117,s116]) ).
cnf(s120,plain,
spl0_1,
inference(rat,[],[s1,s100,s101,s107,s112,s119]) ).
cnf(s121,plain,
spl0_9,
inference(rat,[],[s45,s47,s43,s3,s8,s13,s18,s23,s100,s120]) ).
cnf(s122,plain,
~ spl0_7,
inference(rat,[],[s56,s120,s121]) ).
cnf(s123,plain,
spl0_15,
inference(rat,[],[s22,s122]) ).
cnf(s124,plain,
spl0_14,
inference(rat,[],[s17,s122]) ).
cnf(s125,plain,
spl0_13,
inference(rat,[],[s12,s122]) ).
cnf(s126,plain,
spl0_12,
inference(rat,[],[s7,s122]) ).
cnf(s127,plain,
spl0_8,
inference(rat,[],[s2,s122]) ).
cnf(s129,plain,
spl0_17,
inference(rat,[],[s43,s126,s127]) ).
cnf(s131,plain,
~ spl0_19,
inference(rat,[],[s47,s125,s124,s120,s129]) ).
cnf(s132,plain,
$false,
inference(rat,[],[s45,s125,s124,s123,s100,s129,s131]) ).
fof(f915,plain,
$false,
inference(avatar_sat_refutation,[],[s132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP365-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 % Computer : n018.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Sun Sep 27 09:58:54 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.50 % (2091727)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (2091734)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=330555828:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (2091733)% WARNING: option uhcvi not known.
% 0.16/0.50 % (2091732)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=769076397_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % (2091737)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1048598005:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % (2091733)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1597509372:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (2091735)dis+10_1_sil=32000:sp=arity:random_seed=4128339268:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (2091736)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3235997274:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % (2091738)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1949527385:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % TRYING [1]
% 0.16/0.50 % TRYING [2]
% 0.16/0.50 % TRYING [3]
% 0.16/0.50 % TRYING [4]
% 0.16/0.50 % (2091736) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2091727-2091736"...
% 0.16/0.50 % (2091737) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2091727-2091737"...
% 0.16/0.50 % TRYING [5]
% 0.16/0.50 % (2091735) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2091727-2091735"...
% 0.16/0.50 % (2091736)...printing done.
% 0.16/0.50 % (2091736)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (2091736)------------------------------
% 0.16/0.50 % (2091736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (2091736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (2091736)CaDiCaL version: 2.1.3
% 0.16/0.50 % (2091736)Termination reason: Refutation
% 0.16/0.50 % (2091736)Time elapsed: 0.019 s
% 0.16/0.50 % (2091736)Peak memory usage: 12 MB
% 0.16/0.50 % (2091736)Instructions burned: 29 (million)
% 0.16/0.50 % (2091727)Success in time 0.061 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------