%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP290-1 : 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 : n016.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 10:17:24 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 50
% Syntax : Number of formulae : 355 ( 22 unt; 21 def)
% Number of atoms : 1224 ( 316 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1679 ( 810 ~; 848 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 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_c8,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c2)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,X2) != sk_c7
| multiply(X3,sk_c8) != X2
| inverse(X3) != sk_c8
| multiply(X4,sk_c6) != sk_c8
| inverse(X4) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,X2)
| multiply(X3,sk_c8) != X2
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X3] :
( sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X3] :
( sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_6
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| 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_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c7 = inverse(sk_c2)
| ~ 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_c8 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f100,plain,
( sk_c8 != multiply(sk_c5,sk_c6)
| spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ 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_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c8 = inverse(sk_c3)
| ~ 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_c4 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f58,f94,f109]) ).
fof(f114,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c8,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f115,plain,
( sk_c7 != multiply(sk_c8,sk_c4)
| spl0_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f94,f114]) ).
fof(f118,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f94,f75]) ).
fof(f120,definition,
( spl0_13
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f122,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f120,f90]) ).
fof(f124,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f120,f99]) ).
fof(f125,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f120,f104]) ).
fof(f126,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f120,f109]) ).
fof(f127,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f120,f114]) ).
fof(f128,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f120,f75]) ).
fof(f130,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f132,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f130,f90]) ).
fof(f134,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f130,f99]) ).
fof(f135,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f130,f104]) ).
fof(f136,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f130,f109]) ).
fof(f138,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f130,f75]) ).
fof(f140,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f142,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f140,f90]) ).
fof(f144,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f140,f99]) ).
fof(f145,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f140,f104]) ).
fof(f146,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f140,f109]) ).
fof(f148,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f140,f75]) ).
fof(f149,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f85,f90]) ).
fof(f150,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f85,f99]) ).
fof(f154,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f85,f75]) ).
fof(f155,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f156,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f3,f106]) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f164,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f159,f1]) ).
fof(f167,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f155]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f169,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f156]) ).
fof(f170,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f169,f1]) ).
fof(f171,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f168,f101]) ).
fof(f174,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f171,f76]) ).
fof(f180,plain,
( sk_c8 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f101,f174]) ).
fof(f201,plain,
( sk_c8 = multiply(sk_c8,sk_c4)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f170,f111]) ).
fof(f230,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f164,f201]) ).
fof(f238,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f164,f76]) ).
fof(f255,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f238,f174]) ).
fof(f258,plain,
( identity = sk_c4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f230,f3]) ).
fof(f261,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f255,f3]) ).
fof(f263,plain,
( sk_c6 != multiply(identity,sk_c7)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f87,f261]) ).
fof(f265,plain,
( sk_c7 = multiply(identity,sk_c4)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f116,f261]) ).
fof(f278,plain,
( sk_c7 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f265,f1]) ).
fof(f279,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f263,f1]) ).
fof(f281,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f279,f174]) ).
fof(f282,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f283,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f80,f174]) ).
fof(f289,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f283,f180]) ).
fof(f291,plain,
( identity != sk_c7
| sk_c7 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f289,f261]) ).
fof(f297,definition,
( spl0_17
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f298,plain,
( identity = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f299,plain,
( identity != sk_c7
| spl0_17 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f301,plain,
( sk_c7 != sk_c6
| identity != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f291,f92]) ).
fof(f302,plain,
( identity != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f301,f174]) ).
fof(f303,plain,
( ~ spl0_17
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f302,f99,f90,f79,f75,f297]) ).
fof(f348,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f201,f278]) ).
fof(f353,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f348,f261]) ).
fof(f354,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f353,f1]) ).
fof(f355,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f354,f299]) ).
fof(f356,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f357,plain,
( sk_c8 != sk_c7
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f115,f201]) ).
fof(f358,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f122,f174]) ).
fof(f364,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f201,f258]) ).
fof(f372,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f283,f358]) ).
fof(f375,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f372]) ).
fof(f377,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f375,f96]) ).
fof(f378,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f386,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f132]) ).
fof(f392,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f164,f122]) ).
fof(f394,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f392,f96]) ).
fof(f395,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f164,f142]) ).
fof(f397,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f395,f132]) ).
fof(f405,plain,
( sk_c7 != sk_c4
| sk_c8 != inverse(sk_c3)
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f83,f111]) ).
fof(f406,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f83,f142]) ).
fof(f407,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f406]) ).
fof(f409,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f407,f132]) ).
fof(f410,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f411,plain,
( sk_c7 != sk_c4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f405,f106]) ).
fof(f412,plain,
( identity != sk_c7
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f411,f258]) ).
fof(f423,plain,
( sk_c7 != multiply(sk_c8,sk_c4)
| sk_c8 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f73,f111]) ).
fof(f424,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f73,f142]) ).
fof(f426,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f424,f132]) ).
fof(f434,definition,
( spl0_19
<=> sk_c7 = multiply(sk_c8,identity) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f435,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f436,plain,
( sk_c7 != multiply(sk_c8,identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f439,definition,
( spl0_20
<=> sk_c8 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f440,plain,
( sk_c8 = inverse(identity)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( sk_c8 != inverse(identity)
| spl0_20 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f447,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f426,f86]) ).
fof(f454,definition,
( spl0_23
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f455,plain,
( sk_c7 = sk_c6
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f456,plain,
( sk_c7 != sk_c6
| spl0_23 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,plain,
( ~ spl0_23
| ~ spl0_2
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f447,f140,f130,f85,f72,f454]) ).
fof(f493,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f164,f394]) ).
fof(f495,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f493,f3]) ).
fof(f511,plain,
( sk_c7 = multiply(identity,sk_c8)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f76,f495]) ).
fof(f513,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f155,f495]) ).
fof(f518,plain,
( identity != sk_c7
| ~ spl0_8
| ~ spl0_13
| spl0_23 ),
inference(superposition,[],[f456,f495]) ).
fof(f521,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f513,f1]) ).
fof(f522,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f511,f1]) ).
fof(f523,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f522,f357]) ).
fof(f524,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f526,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f423,f109,f72,f114,f104]) ).
fof(f530,plain,
( sk_c8 != multiply(identity,sk_c6)
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f100,f521]) ).
fof(f535,plain,
( sk_c8 != sk_c6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f530,f1]) ).
fof(f538,plain,
( identity != sk_c8
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f535,f495]) ).
fof(f583,definition,
( spl0_25
<=> sk_c8 = multiply(sk_c8,identity) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f584,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f635,plain,
( sk_c7 != multiply(identity,sk_c8)
| spl0_3
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f77,f495]) ).
fof(f637,plain,
( sk_c8 != sk_c7
| spl0_3
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f635,f1]) ).
fof(f644,definition,
( spl0_29
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f646,plain,
( sk_c8 != sk_c7
| spl0_29 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f648,plain,
( ~ spl0_29
| spl0_3
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f637,f120,f94,f75,f644]) ).
fof(f682,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f397,f86]) ).
fof(f683,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f86,f397]) ).
fof(f686,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f164,f397]) ).
fof(f688,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f686,f3]) ).
fof(f691,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f683,f495]) ).
fof(f692,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f682,f495]) ).
fof(f697,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f692,f538]) ).
fof(f698,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f700,plain,
( ~ spl0_17
| ~ spl0_8
| ~ spl0_13
| spl0_23 ),
inference(avatar_split_clause,[],[f518,f454,f120,f94,f297]) ).
fof(f701,plain,
( spl0_17
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f688,f140,f130,f297]) ).
fof(f710,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f397,f298]) ).
fof(f725,plain,
( spl0_25
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f710,f297,f140,f130,f583]) ).
fof(f749,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f386,f691]) ).
fof(f753,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(superposition,[],[f436,f691]) ).
fof(f755,plain,
( identity != sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(forward_demodulation,[],[f753,f1]) ).
fof(f759,plain,
( identity = sk_c1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f749,f1]) ).
fof(f764,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f755,f298]) ).
fof(f765,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f771,plain,
( sk_c8 = sk_c7
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f435,f584]) ).
fof(f772,plain,
( $false
| ~ spl0_19
| ~ spl0_25
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f771,f646]) ).
fof(f773,plain,
( ~ spl0_19
| ~ spl0_25
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f774,plain,
( ! [X4] :
( sk_c8 != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f70,f495]) ).
fof(f784,plain,
( identity = sk_c8
| ~ spl0_17
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f771,f298]) ).
fof(f785,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f774,f691]) ).
fof(f789,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f785,f495]) ).
fof(f791,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f789,f1]) ).
fof(f796,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f791]) ).
fof(f802,plain,
( sk_c8 = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f132,f759]) ).
fof(f803,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f802,f441]) ).
fof(f804,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f810,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f440,f691]) ).
fof(f812,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f802,f691]) ).
fof(f815,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f812,f796]) ).
fof(f816,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f817,plain,
( ! [X1] :
( sk_c6 != multiply(X1,identity)
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f80,f298]) ).
fof(f818,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f817,f495]) ).
fof(f819,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f818,f298]) ).
fof(f820,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f819,f1]) ).
fof(f825,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f820]) ).
fof(f831,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f825,f810]) ).
fof(f832,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f854,plain,
( identity = sk_c6
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f455,f298]) ).
fof(f879,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| ~ spl0_25 ),
inference(superposition,[],[f86,f784]) ).
fof(f894,plain,
( sk_c7 = sk_c6
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f879,f1]) ).
fof(f898,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f894,f298]) ).
fof(f904,plain,
( sk_c8 = multiply(sk_c5,identity)
| ~ spl0_9
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f101,f854]) ).
fof(f905,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f904,f784]) ).
fof(f935,plain,
( ! [X4] :
( sk_c8 != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f70,f854]) ).
fof(f936,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f935,f784]) ).
fof(f937,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f936,f854]) ).
fof(f943,plain,
( identity != identity
| identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(superposition,[],[f937,f905]) ).
fof(f946,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f943]) ).
fof(f949,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_demodulation,[],[f946,f92]) ).
fof(f954,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f949,f854]) ).
fof(f955,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f961,plain,
( sk_c8 != sk_c7
| spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f436,f584]) ).
fof(f965,plain,
( identity != sk_c8
| ~ spl0_17
| spl0_19
| ~ spl0_25 ),
inference(forward_demodulation,[],[f961,f298]) ).
fof(f996,plain,
( identity != sk_c6
| ~ spl0_17
| spl0_23 ),
inference(forward_demodulation,[],[f456,f298]) ).
fof(f1014,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| spl0_19
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f261,f965]) ).
fof(f1015,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| spl0_19
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1021,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f898,f996]) ).
fof(f1022,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1030,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f412,f298]) ).
fof(f1031,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1045,plain,
( spl0_25
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f364,f109,f104,f583]) ).
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_8
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s7,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s9,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s10,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s11,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s13,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s15,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s16,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s19,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s20,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s21,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s22,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s23,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s25,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s26,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s27,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s31,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f154]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f282]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f303]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f356]) ).
cnf(s36,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f378]) ).
cnf(s38,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f410]) ).
cnf(s42,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(sat_conversion,[],[f458]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f524]) ).
cnf(s44,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f526]) ).
cnf(s49,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_29 ),
inference(sat_conversion,[],[f648]) ).
cnf(s52,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f698]) ).
cnf(s53,plain,
( ~ spl0_8
| ~ spl0_13
| ~ spl0_17
| spl0_23 ),
inference(sat_conversion,[],[f700]) ).
cnf(s54,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f701]) ).
cnf(s57,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_25 ),
inference(sat_conversion,[],[f725]) ).
cnf(s58,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f765]) ).
cnf(s59,plain,
( ~ spl0_19
| ~ spl0_25
| spl0_29 ),
inference(sat_conversion,[],[f773]) ).
cnf(s60,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f804]) ).
cnf(s62,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f816]) ).
cnf(s63,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f832]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19
| ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f955]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17
| spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s74,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_19
| spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s75,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s79,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_25 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s80,plain,
spl0_3,
inference(rat,[],[s59,s57,s58,s54,s49,s7,s13,s19,s25,s31]) ).
cnf(s81,plain,
spl0_6,
inference(rat,[],[s32,s26,s27,s80]) ).
cnf(s82,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s43,s12,s35,s75,s80]) ).
cnf(s83,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s38,s17,s23]) ).
cnf(s84,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s38,s16,s22]) ).
cnf(s85,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_11
| ~ spl0_10
| ~ spl0_5 ),
inference(rat,[],[s52,s9,s15,s21,s82,s81]) ).
cnf(s86,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s35,s3,s6,s85,s75,s84,s83,s80]) ).
cnf(s87,plain,
~ spl0_5,
inference(rat,[],[s38,s14,s20,s86]) ).
cnf(s88,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s52,s9,s15,s21,s81]) ).
cnf(s89,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s35,s10,s11,s12,s36,s34,s88,s80]) ).
cnf(s90,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s34,s35,s3,s4,s5,s6,s89,s80]) ).
cnf(s91,plain,
~ spl0_4,
inference(rat,[],[s63,s60,s54,s2,s8,s14,s20,s90,s81]) ).
cnf(s92,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s43,s12,s44,s80]) ).
cnf(s93,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s53,s42,s54,s11,s17,s23,s81]) ).
cnf(s94,plain,
( ~ spl0_11
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s53,s42,s54,s10,s16,s22,s92,s81]) ).
cnf(s95,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s94,s93]) ).
cnf(s96,plain,
~ spl0_2,
inference(rat,[],[s44,s4,s5,s6,s95]) ).
cnf(s97,plain,
spl0_1,
inference(rat,[],[s1,s80,s81,s87,s91,s96]) ).
cnf(s98,plain,
( ~ spl0_13
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_8 ),
inference(rat,[],[s69,s53,s73,s35,s43,s79,s88,s97,s80]) ).
cnf(s99,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_25
| ~ spl0_9 ),
inference(rat,[],[s69,s74,s73,s80,s81,s97]) ).
cnf(s100,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_8 ),
inference(rat,[],[s99,s35,s12,s98,s88,s79,s80]) ).
cnf(s101,plain,
( spl0_7
| ~ spl0_8 ),
inference(rat,[],[s62,s8,s14,s20,s81,s97]) ).
cnf(s102,plain,
( spl0_10
| ~ spl0_8 ),
inference(rat,[],[s62,s10,s16,s22,s81,s97]) ).
cnf(s103,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s62,s11,s17,s23,s100,s97,s81]) ).
cnf(s104,plain,
~ spl0_8,
inference(rat,[],[s103,s102,s101]) ).
cnf(s105,plain,
spl0_12,
inference(rat,[],[s6,s104]) ).
cnf(s106,plain,
spl0_11,
inference(rat,[],[s5,s104]) ).
cnf(s107,plain,
spl0_10,
inference(rat,[],[s4,s104]) ).
cnf(s108,plain,
spl0_9,
inference(rat,[],[s3,s104]) ).
cnf(s109,plain,
spl0_7,
inference(rat,[],[s2,s104]) ).
cnf(s110,plain,
spl0_17,
inference(rat,[],[s35,s108,s106,s107,s109,s80,s105]) ).
cnf(s111,plain,
spl0_25,
inference(rat,[],[s79,s107,s106]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s99,s108,s109,s111,s110]) ).
fof(f1047,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP290-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:50:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.46 % (2382957)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (2382965)dis+10_1_sil=32000:sp=arity:random_seed=154043819:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (2382963)% WARNING: option uhcvi not known.
% 0.17/0.46 % (2382962)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3813127848_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (2382963)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2111261522:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (2382964)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2843574482:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (2382966)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2357274654:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (2382968)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1516880186:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (2382967)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=624885042:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % TRYING [1]
% 0.17/0.46 % TRYING [2]
% 0.17/0.46 % (2382965) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2382957-2382965"...
% 0.17/0.46 % TRYING [3]
% 0.17/0.46 % (2382965)...printing done.
% 0.17/0.46 % TRYING [4]
% 0.17/0.46 % (2382965)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2382965)------------------------------
% 0.17/0.47 % (2382965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2382965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2382965)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2382965)Termination reason: Refutation
% 0.17/0.47 % (2382965)Time elapsed: 0.013 s
% 0.17/0.47 % (2382965)Peak memory usage: 12 MB
% 0.17/0.47 % (2382965)Instructions burned: 37 (million)
% 0.17/0.47 % (2382957)Success in time 0.043 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------