%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP356-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 10:13:44 AM UTC 2026
% Result : Unsatisfiable 2.58s 1.29s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 52
% Syntax : Number of formulae : 363 ( 21 unt; 18 def)
% Number of atoms : 1180 ( 337 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1556 ( 739 ~; 799 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| multiply(X1,sk_c8) != sk_c6
| inverse(X1) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X2,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(sk_c8,X3) != sk_c7
| multiply(X4,sk_c8) != X3
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X0,X1,X4] :
( multiply(sk_c7,sk_c6) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8) )
| ~ 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
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c6 != multiply(X1,sk_c8) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c8 != multiply(X0,sk_c7) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| 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_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f94,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c8 = 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_c5 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c5 = multiply(sk_c4,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_c7 = multiply(sk_c8,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ 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_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( sk_c8 = inverse(sk_c3)
| ~ 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_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ 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_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f122,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ 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_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f132,plain,
( sk_c7 = 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(f137,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f130,f114]) ).
fof(f138,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f130,f75]) ).
fof(f140,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f142,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ 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(f147,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f140,f114]) ).
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(f151,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f85,f104]) ).
fof(f152,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f85,f109]) ).
fof(f153,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f85,f114]) ).
fof(f154,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f85,f75]) ).
fof(f155,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f156,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f111]) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f106]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f116]) ).
fof(f163,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f101]) ).
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_c8,multiply(sk_c4,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f155]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f171,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f168,f101]) ).
fof(f177,plain,
( sk_c7 = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f171,f106]) ).
fof(f186,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f162,f177]) ).
fof(f190,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f163,f76]) ).
fof(f200,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f190,f177]) ).
fof(f212,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f186,f156]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
| ~ spl0_10 ),
inference(superposition,[],[f164,f161]) ).
fof(f233,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f164,f106]) ).
fof(f234,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_7 ),
inference(superposition,[],[f164,f155]) ).
fof(f235,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f164,f116]) ).
fof(f248,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f235,f177]) ).
fof(f249,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f233,f177]) ).
fof(f252,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f229,f177]) ).
fof(f254,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f248,f111]) ).
fof(f255,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f249,f3]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f252,f164]) ).
fof(f258,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f212,f255]) ).
fof(f267,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f164,f254]) ).
fof(f269,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f267,f3]) ).
fof(f277,plain,
( sk_c5 = multiply(inverse(sk_c3),sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f164,f258]) ).
fof(f280,plain,
( sk_c5 = multiply(sk_c8,sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f277,f111]) ).
fof(f281,plain,
( sk_c7 = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f280,f106]) ).
fof(f282,plain,
( sk_c8 = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f281,f177]) ).
fof(f306,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f234,f255]) ).
fof(f307,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f306,f282]) ).
fof(f308,plain,
( identity = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f307,f3]) ).
fof(f309,plain,
( sk_c5 = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f308,f255]) ).
fof(f310,plain,
( sk_c8 = sk_c4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f309,f282]) ).
fof(f336,plain,
( sk_c8 = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f200,f256]) ).
fof(f337,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f336,f310]) ).
fof(f340,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f164,f337]) ).
fof(f342,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f340,f3]) ).
fof(f344,plain,
( sk_c6 = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f342,f269]) ).
fof(f351,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f87,f344]) ).
fof(f352,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f351,f177]) ).
fof(f354,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f352,f254]) ).
fof(f355,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f356,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f80,f344]) ).
fof(f359,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f356,f92]) ).
fof(f364,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f359]) ).
fof(f369,plain,
( sk_c8 != sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f364,f101]) ).
fof(f370,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f369,f282]) ).
fof(f371,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f374,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f96]) ).
fof(f378,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f164,f86]) ).
fof(f380,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f164,f122]) ).
fof(f381,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f122]) ).
fof(f382,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f380,f96]) ).
fof(f383,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_15 ),
inference(superposition,[],[f164,f142]) ).
fof(f385,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f383,f132]) ).
fof(f391,plain,
( sk_c8 != sk_c8
| sk_c6 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f80,f96]) ).
fof(f393,plain,
( sk_c6 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f391]) ).
fof(f400,definition,
( spl0_17
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f401,plain,
( sk_c7 = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( sk_c7 != sk_c8
| spl0_17 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f404,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f393,f122]) ).
fof(f405,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f412,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f70,f96]) ).
fof(f414,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f417,definition,
( spl0_18
<=> sk_c7 = multiply(sk_c8,multiply(sk_c1,sk_c8)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f418,plain,
( sk_c7 = multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| spl0_18 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f421,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f414,f122]) ).
fof(f483,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f164,f385]) ).
fof(f485,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f483,f3]) ).
fof(f499,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f73,f111]) ).
fof(f500,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f73,f96]) ).
fof(f502,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f500]) ).
fof(f505,definition,
( spl0_19
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f506,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f507,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| spl0_19 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f509,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f502,f122]) ).
fof(f515,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f86,f401]) ).
fof(f516,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f142,f401]) ).
fof(f529,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c8)
| inverse(X0) != sk_c7 )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f83,f401]) ).
fof(f530,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f529,f401]) ).
fof(f535,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f530,f111]) ).
fof(f539,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f535]) ).
fof(f542,plain,
( sk_c7 != sk_c8
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f539,f116]) ).
fof(f547,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f542,f401]) ).
fof(f548,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f559,plain,
( spl0_17
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f177,f104,f99,f90,f400]) ).
fof(f575,plain,
( sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f577,plain,
( ~ spl0_12
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f575,f109,f72,f114]) ).
fof(f589,plain,
( sk_c6 != sk_c8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f509,f401]) ).
fof(f596,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c8) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f73,f401]) ).
fof(f598,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f596,f92]) ).
fof(f603,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f598]) ).
fof(f606,plain,
( sk_c8 != sk_c5
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f603,f101]) ).
fof(f607,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_17
| spl0_19 ),
inference(forward_demodulation,[],[f507,f401]) ).
fof(f609,plain,
( sk_c8 = sk_c5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f485,f255]) ).
fof(f614,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f609,f606]) ).
fof(f615,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f618,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f70,f401]) ).
fof(f624,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f421,f401]) ).
fof(f634,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c4,sk_c8))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f618,f92]) ).
fof(f639,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c4,sk_c8))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f642,plain,
( sk_c8 != multiply(sk_c8,sk_c5)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f639,f101]) ).
fof(f643,plain,
( sk_c7 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f642,f106]) ).
fof(f644,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f643,f401]) ).
fof(f645,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f646,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl0_17
| spl0_18 ),
inference(forward_demodulation,[],[f419,f401]) ).
fof(f649,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f515,f624]) ).
fof(f650,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f683,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f164,f515]) ).
fof(f685,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f683,f3]) ).
fof(f686,plain,
( sk_c6 = sk_c8
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f685,f485]) ).
fof(f687,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f686,f589]) ).
fof(f688,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f689,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f77,f401]) ).
fof(f695,plain,
( $false
| ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f516,f607]) ).
fof(f696,plain,
( ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f697,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f506,f401]) ).
fof(f717,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f418,f697]) ).
fof(f718,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f717,f401]) ).
fof(f719,plain,
( sk_c6 != sk_c8
| spl0_3
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f689,f718]) ).
fof(f723,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f719,f686]) ).
fof(f724,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f726,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f646,f697]) ).
fof(f739,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f385,f401]) ).
fof(f740,plain,
( $false
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f739,f726]) ).
fof(f741,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f743,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f132]) ).
fof(f744,plain,
( sk_c8 = multiply(sk_c7,sk_c1)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f743,f485]) ).
fof(f745,plain,
( sk_c7 != sk_c7
| sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f83,f132]) ).
fof(f747,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f745]) ).
fof(f748,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f747,f142]) ).
fof(f749,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f763,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f164,f744]) ).
fof(f766,plain,
( multiply(sk_c2,identity) = multiply(sk_c6,sk_c2)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f381,f374]) ).
fof(f771,plain,
( multiply(sk_c2,sk_c8) = multiply(sk_c6,sk_c2)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f766,f485]) ).
fof(f773,plain,
( sk_c6 = multiply(sk_c6,sk_c2)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f771,f122]) ).
fof(f776,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f164,f382]) ).
fof(f778,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f776,f3]) ).
fof(f780,plain,
( sk_c6 = sk_c8
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f778,f485]) ).
fof(f803,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f773,f780]) ).
fof(f807,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f164,f803]) ).
fof(f809,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f807,f3]) ).
fof(f811,plain,
( sk_c8 = sk_c2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f809,f485]) ).
fof(f815,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f378,f780]) ).
fof(f820,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f96,f811]) ).
fof(f843,plain,
( sk_c8 = sk_c1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f815,f763]) ).
fof(f849,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f132,f843]) ).
fof(f852,plain,
( sk_c7 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f849,f820]) ).
fof(f854,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f852,f402]) ).
fof(f855,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f854]) ).
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(s18,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
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(s24,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
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(s28,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s29,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f152]) ).
cnf(s30,plain,
( spl0_6
| spl0_12 ),
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
| ~ spl0_12 ),
inference(sat_conversion,[],[f355]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f371]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f405]) ).
cnf(s49,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f548]) ).
cnf(s51,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f559]) ).
cnf(s56,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f577]) ).
cnf(s60,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f615]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f645]) ).
cnf(s62,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f650]) ).
cnf(s63,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f688]) ).
cnf(s64,plain,
( ~ spl0_15
| ~ spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f696]) ).
cnf(s66,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f724]) ).
cnf(s67,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f741]) ).
cnf(s68,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f749]) ).
cnf(s70,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f855]) ).
cnf(s71,plain,
spl0_3,
inference(rat,[],[s66,s67,s64,s70,s7,s13,s19,s25,s31]) ).
cnf(s72,plain,
spl0_6,
inference(rat,[],[s32,s26,s27,s28,s29,s30,s71]) ).
cnf(s73,plain,
( spl0_12
| ~ spl0_5 ),
inference(rat,[],[s68,s18,s24]) ).
cnf(s74,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s68,s17,s23]) ).
cnf(s75,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s68,s16,s22]) ).
cnf(s76,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s68,s15,s21]) ).
cnf(s77,plain,
( ~ spl0_11
| ~ spl0_5
| ~ spl0_12 ),
inference(rat,[],[s68,s14,s20,s51,s76,s75,s49]) ).
cnf(s78,plain,
~ spl0_5,
inference(rat,[],[s77,s74,s73]) ).
cnf(s79,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s37,s6,s12]) ).
cnf(s80,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s37,s5,s11]) ).
cnf(s81,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s37,s4,s10]) ).
cnf(s82,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s37,s3,s9]) ).
cnf(s83,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_10
| ~ spl0_4
| ~ spl0_11 ),
inference(rat,[],[s37,s2,s8,s35,s71]) ).
cnf(s84,plain,
~ spl0_4,
inference(rat,[],[s83,s82,s81,s80,s79]) ).
cnf(s85,plain,
( spl0_12
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s60,s18,s24,s51]) ).
cnf(s86,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s60,s17,s23,s56,s85,s51]) ).
cnf(s87,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s63,s70,s4,s10,s16,s22,s72]) ).
cnf(s88,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s63,s70,s3,s9,s15,s21,s72]) ).
cnf(s89,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_10 ),
inference(rat,[],[s63,s70,s2,s8,s14,s20,s86,s72]) ).
cnf(s90,plain,
~ spl0_2,
inference(rat,[],[s89,s88,s87]) ).
cnf(s91,plain,
spl0_1,
inference(rat,[],[s1,s71,s84,s78,s72,s90]) ).
cnf(s92,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s61,s51,s91]) ).
cnf(s93,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_8
| ~ spl0_15 ),
inference(rat,[],[s62,s70,s72,s91]) ).
cnf(s94,plain,
spl0_10,
inference(rat,[],[s93,s4,s10,s16,s22]) ).
cnf(s95,plain,
spl0_9,
inference(rat,[],[s93,s3,s9,s15,s21]) ).
cnf(s96,plain,
~ spl0_7,
inference(rat,[],[s92,s94,s95]) ).
cnf(s97,plain,
spl0_15,
inference(rat,[],[s20,s96]) ).
cnf(s98,plain,
spl0_14,
inference(rat,[],[s14,s96]) ).
cnf(s99,plain,
spl0_13,
inference(rat,[],[s8,s96]) ).
cnf(s100,plain,
spl0_8,
inference(rat,[],[s2,s96]) ).
cnf(s101,plain,
$false,
inference(rat,[],[s93,s97,s100,s98,s99]) ).
fof(f856,plain,
$false,
inference(avatar_sat_refutation,[],[s101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP356-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n004.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 09:55:52 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.58/1.28 % (3263446)Input is clausal, will run a generic CNF schedule.
% 2.58/1.28 % (3263455)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2976516216:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.58/1.28 % (3263455)Instruction limit reached!
% 2.58/1.28 % (3263455)------------------------------
% 2.58/1.28 % (3263455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.28 % (3263455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.28 % (3263455)CaDiCaL version: 2.1.3
% 2.58/1.28 % (3263455)Termination reason: Instruction limit
% 2.58/1.28 % (3263455)Termination phase: Saturation
% 2.58/1.28 % (3263455)Time elapsed: 0.036 s
% 2.58/1.28 % (3263455)Peak memory usage: 89 MB
% 2.58/1.28 % (3263455)Instructions burned: 119 (million)
% 2.58/1.28 % (3263457)dis-21_1_sil=8000:lcm=predicate:random_seed=1223353923:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.58/1.28 % (3263452)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3366288228:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.58/1.29 % (3263454)lrs+10_1_sil=8000:sp=occurrence:random_seed=3135911117:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.58/1.29 % (3263453)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3952745561:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.58/1.29 % (3263451)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1202571563:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.58/1.29 % (3263456)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3931833164:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.58/1.29 % (3263457)Refutation not found, incomplete strategy
% 2.58/1.29 % (3263457)------------------------------
% 2.58/1.29 % (3263457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.29 % (3263457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.29 % (3263457)CaDiCaL version: 2.1.3
% 2.58/1.29 % (3263457)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.29 % (3263457)Time elapsed: 0.002 s
% 2.58/1.29 % (3263457)Peak memory usage: 88 MB
% 2.58/1.29 % (3263457)Instructions burned: 2 (million)
% 2.58/1.29 % (3263454)Refutation not found, incomplete strategy
% 2.58/1.29 % (3263454)------------------------------
% 2.58/1.29 % (3263454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.29 % (3263454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.29 % (3263454)CaDiCaL version: 2.1.3
% 2.58/1.29 % (3263454)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.29 % (3263454)Time elapsed: 0.003 s
% 2.58/1.29 % (3263454)Peak memory usage: 88 MB
% 2.58/1.29 % (3263454)Instructions burned: 4 (million)
% 2.58/1.29 % (3263456)First to succeed.
% 2.58/1.29 % (3263456)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3263446"
% 2.58/1.29 % (3263465)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1707661921:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.58/1.29 % (3263465)Refutation not found, incomplete strategy
% 2.58/1.29 % (3263465)------------------------------
% 2.58/1.29 % (3263465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.29 % (3263465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.29 % (3263465)CaDiCaL version: 2.1.3
% 2.58/1.29 % (3263465)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.29 % (3263465)Time elapsed: 0.002 s
% 2.58/1.29 % (3263465)Peak memory usage: 88 MB
% 2.58/1.29 % (3263465)Instructions burned: 5 (million)
% 2.58/1.29 % (3263465)------------------------------
% 2.58/1.29 % (3263465)------------------------------
% 2.58/1.29 % (3263457)------------------------------
% 2.58/1.29 % (3263457)------------------------------
% 2.58/1.29 % (3263454)------------------------------
% 2.58/1.29 % (3263454)------------------------------
% 2.58/1.29 % (3263456)Refutation found. Thanks to Tanya!
% 2.58/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.58/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.47 % (3263456)------------------------------
% 3.55/1.47 % (3263456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.47 % (3263456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.47 % (3263456)CaDiCaL version: 2.1.3
% 3.55/1.47 % (3263456)Termination reason: Refutation
% 3.55/1.47 % (3263456)Time elapsed: 0.022 s
% 3.55/1.47 % (3263456)Peak memory usage: 90 MB
% 3.55/1.47 % (3263456)Instructions burned: 33 (million)
% 3.55/1.47 % (3263456)------------------------------
% 3.55/1.47 % (3263456)------------------------------
% 3.55/1.47 % (3263446)Success in time 0.422 s
% 3.55/1.47 % Vampire exiting
%------------------------------------------------------------------------------