%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP311-1 : 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 : n003.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 10:13:36 AM UTC 2026
% Result : Unsatisfiable 2.73s 1.05s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 48
% Syntax : Number of formulae : 327 ( 22 unt; 14 def)
% Number of atoms : 1294 ( 314 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1838 ( 871 ~; 953 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 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_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c5 = inverse(sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c5 = inverse(sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c5 = inverse(sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c5 = inverse(sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| multiply(sk_c7,X0) != sk_c6
| multiply(X1,sk_c7) != X0
| inverse(X1) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| inverse(X3) != sk_c6
| multiply(X3,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != inverse(sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(sk_c7,X0)
| multiply(X1,sk_c7) != X0
| sk_c7 != inverse(X1)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != inverse(sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X1,sk_c7))
| sk_c7 != inverse(X1)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_3
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != multiply(sk_c7,multiply(X1,sk_c7))
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X1] :
( sk_c6 != multiply(sk_c7,multiply(X1,sk_c7))
| sk_c7 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_6
<=> sk_c5 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f87,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( sk_c5 != inverse(sk_c7)
| spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_7
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f91,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f67,f90,f86,f82,f79,f75,f72,f69]) ).
fof(f95,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f96,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f99,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f64,f99,f95]) ).
fof(f104,definition,
( spl0_10
<=> sk_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f62,f99,f104]) ).
fof(f109,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f110,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f111,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f60,f99,f109]) ).
fof(f114,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f58,f99,f114]) ).
fof(f118,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f56,f99,f75]) ).
fof(f120,definition,
( spl0_13
<=> sk_c2 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f122,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f54,f120,f95]) ).
fof(f124,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f120,f104]) ).
fof(f125,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f120,f109]) ).
fof(f126,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f120,f114]) ).
fof(f127,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f120,f75]) ).
fof(f129,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c7,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f131,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f129,f95]) ).
fof(f133,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f129,f104]) ).
fof(f134,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f129,f109]) ).
fof(f135,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f129,f114]) ).
fof(f136,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f129,f75]) ).
fof(f137,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f34,f82,f95]) ).
fof(f138,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f82,f104]) ).
fof(f139,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f30,f82,f109]) ).
fof(f140,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f82,f114]) ).
fof(f141,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f82,f75]) ).
fof(f142,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f86,f95]) ).
fof(f143,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f86,f104]) ).
fof(f144,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f86,f109]) ).
fof(f145,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f86,f114]) ).
fof(f146,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f86,f75]) ).
fof(f147,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f90,f95]) ).
fof(f148,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f90,f104]) ).
fof(f149,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f90,f109]) ).
fof(f150,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f90,f114]) ).
fof(f151,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f90,f75]) ).
fof(f152,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f106]) ).
fof(f153,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f3,f116]) ).
fof(f156,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f157,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_3 ),
inference(superposition,[],[f4,f76]) ).
fof(f158,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f152]) ).
fof(f159,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f111]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f162,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f156,f1]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f153]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f171,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f161,f97]) ).
fof(f174,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f159,f76]) ).
fof(f198,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_12 ),
inference(superposition,[],[f162,f153]) ).
fof(f204,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_10 ),
inference(superposition,[],[f162,f152]) ).
fof(f205,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f162,f111]) ).
fof(f214,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f205,f116]) ).
fof(f215,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f157,f214]) ).
fof(f218,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f215,f171]) ).
fof(f225,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f162,f218]) ).
fof(f227,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f225,f3]) ).
fof(f233,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f198,f227]) ).
fof(f235,plain,
( identity = sk_c3
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f233,f3]) ).
fof(f236,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f235,f227]) ).
fof(f241,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f153,f236]) ).
fof(f244,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f241,f214]) ).
fof(f245,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f244,f227]) ).
fof(f248,plain,
( sk_c7 != multiply(sk_c5,sk_c7)
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f84,f245]) ).
fof(f256,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f204,f245]) ).
fof(f257,plain,
( sk_c3 = sk_c4
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f256,f198]) ).
fof(f262,plain,
( sk_c7 != sk_c5
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f248,f218]) ).
fof(f264,plain,
( sk_c7 = sk_c4
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f257,f236]) ).
fof(f267,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f174,f236]) ).
fof(f268,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f267,f214]) ).
fof(f269,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f268,f245]) ).
fof(f271,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f162,f269]) ).
fof(f273,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f271,f3]) ).
fof(f275,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f273,f227]) ).
fof(f276,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f275,f262]) ).
fof(f277,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f278,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f83,f245]) ).
fof(f279,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f92,f245]) ).
fof(f280,plain,
( sk_c6 != sk_c5
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f279,f214]) ).
fof(f281,plain,
( sk_c7 != sk_c5
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f280,f245]) ).
fof(f282,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f278,f218]) ).
fof(f290,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f282,f281]) ).
fof(f291,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f292,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f91,f245]) ).
fof(f293,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f292,f214]) ).
fof(f294,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f293,f245]) ).
fof(f295,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f97,f294]) ).
fof(f300,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f278,f294]) ).
fof(f303,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f295,f245]) ).
fof(f305,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f88,f294]) ).
fof(f320,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f106,f264]) ).
fof(f328,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f320,f245]) ).
fof(f332,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f328,f305]) ).
fof(f333,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f334,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f70,f245]) ).
fof(f336,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f334,f294]) ).
fof(f337,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f336,f245]) ).
fof(f346,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f337,f106]) ).
fof(f354,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f346,f245]) ).
fof(f357,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f354,f303]) ).
fof(f358,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f359,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f73,f245]) ).
fof(f361,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f359,f116]) ).
fof(f364,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f361]) ).
fof(f367,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f364,f236]) ).
fof(f369,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f367,f300]) ).
fof(f370,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f373,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(sk_c7,multiply(X1,sk_c7)) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f80,f245]) ).
fof(f375,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,multiply(sk_c3,sk_c7))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f373,f116]) ).
fof(f378,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c3,sk_c7))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f375]) ).
fof(f380,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f378,f166]) ).
fof(f381,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f401,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_13 ),
inference(superposition,[],[f162,f122]) ).
fof(f403,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f401,f101]) ).
fof(f404,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f162,f131]) ).
fof(f406,plain,
( multiply(sk_c5,sk_c6) = sk_c2
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f404,f87]) ).
fof(f407,plain,
( sk_c7 = sk_c2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f406,f83]) ).
fof(f412,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f131,f407]) ).
fof(f448,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f403,f407]) ).
fof(f452,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f162,f448]) ).
fof(f454,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f452,f3]) ).
fof(f510,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f198,f454]) ).
fof(f512,plain,
( identity = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f510,f3]) ).
fof(f514,plain,
( sk_c7 = sk_c3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f512,f454]) ).
fof(f556,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f412,f448]) ).
fof(f557,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f77,f556]) ).
fof(f559,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f91,f556]) ).
fof(f564,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f204,f556]) ).
fof(f567,plain,
( sk_c3 = sk_c4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f564,f198]) ).
fof(f570,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f559,f448]) ).
fof(f571,plain,
( sk_c7 != sk_c5
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f557,f448]) ).
fof(f573,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f110,f514]) ).
fof(f580,plain,
( sk_c7 != sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f573,f91]) ).
fof(f597,plain,
( sk_c7 = sk_c4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f567,f514]) ).
fof(f618,plain,
( sk_c7 != multiply(sk_c4,sk_c5)
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f96,f556]) ).
fof(f631,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f571,f570]) ).
fof(f632,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f633,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f73,f556]) ).
fof(f639,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f633,f101]) ).
fof(f640,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f639]) ).
fof(f642,plain,
( sk_c7 != sk_c2
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f640,f122]) ).
fof(f646,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f642,f407]) ).
fof(f647,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f652,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f70,f556]) ).
fof(f653,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f652,f570]) ).
fof(f654,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f653,f556]) ).
fof(f658,plain,
( sk_c7 != multiply(sk_c7,sk_c5)
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f618,f597]) ).
fof(f659,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f658,f570]) ).
fof(f663,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f659,f448]) ).
fof(f664,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f667,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f580,f570]) ).
fof(f668,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f677,plain,
( sk_c7 != sk_c5
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f654,f87]) ).
fof(f684,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f677,f570]) ).
fof(f689,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f684,f448]) ).
fof(f690,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f691,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(sk_c7,multiply(X1,sk_c7)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f80,f556]) ).
fof(f703,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,multiply(sk_c1,sk_c7))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f691,f101]) ).
fof(f704,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c1,sk_c7))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f703]) ).
fof(f707,plain,
( sk_c7 != multiply(sk_c7,sk_c2)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f704,f122]) ).
fof(f712,plain,
( sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f707,f131]) ).
fof(f716,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f712,f556]) ).
fof(f717,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f716]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f107]) ).
cnf(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f112]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s6,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f118]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f123]) ).
cnf(s8,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s9,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s10,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s11,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s12,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s13,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s14,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s15,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s16,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s17,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f137]) ).
cnf(s18,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f138]) ).
cnf(s19,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f139]) ).
cnf(s20,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f140]) ).
cnf(s21,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f141]) ).
cnf(s22,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f142]) ).
cnf(s23,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f143]) ).
cnf(s24,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f144]) ).
cnf(s25,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f145]) ).
cnf(s26,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f146]) ).
cnf(s27,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f147]) ).
cnf(s28,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f148]) ).
cnf(s29,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f149]) ).
cnf(s30,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f150]) ).
cnf(s31,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f151]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f277]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f291]) ).
cnf(s35,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f333]) ).
cnf(s38,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f358]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f370]) ).
cnf(s42,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f381]) ).
cnf(s47,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f632]) ).
cnf(s48,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f647]) ).
cnf(s51,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f664]) ).
cnf(s52,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f668]) ).
cnf(s55,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f690]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f717]) ).
cnf(s60,plain,
spl0_3,
inference(rat,[],[s47,s6,s11,s16,s21,s26,s31]) ).
cnf(s61,plain,
( spl0_7
| ~ spl0_5 ),
inference(rat,[],[s34,s27,s28,s29,s30,s60]) ).
cnf(s62,plain,
( ~ spl0_7
| ~ spl0_5
| spl0_1
| spl0_4
| spl0_2 ),
inference(rat,[],[s35,s22,s23,s24,s25,s1,s60]) ).
cnf(s63,plain,
( ~ spl0_5
| spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s62,s61]) ).
cnf(s64,plain,
spl0_5,
inference(rat,[],[s32,s17,s18,s19,s20,s60]) ).
cnf(s65,plain,
spl0_7,
inference(rat,[],[s61,s64]) ).
cnf(s66,plain,
( spl0_12
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s58,s5,s10,s15,s64]) ).
cnf(s67,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_6 ),
inference(rat,[],[s52,s4,s9,s14,s64,s65]) ).
cnf(s68,plain,
( spl0_10
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s58,s3,s8,s13,s64]) ).
cnf(s69,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s51,s2,s7,s12,s42,s68,s67,s66,s60,s65,s64]) ).
cnf(s70,plain,
spl0_6,
inference(rat,[],[s35,s22,s23,s24,s25,s60,s65]) ).
cnf(s71,plain,
~ spl0_4,
inference(rat,[],[s69,s70]) ).
cnf(s72,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s48,s5,s10,s15,s64,s70]) ).
cnf(s73,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s48,s3,s8,s13,s64,s70]) ).
cnf(s74,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(rat,[],[s51,s2,s7,s12,s40,s60,s65,s70,s64]) ).
cnf(s75,plain,
~ spl0_2,
inference(rat,[],[s74,s73,s67,s72,s70]) ).
cnf(s76,plain,
spl0_1,
inference(rat,[],[s63,s71,s64,s75]) ).
cnf(s77,plain,
spl0_12,
inference(rat,[],[s55,s5,s10,s15,s64,s70,s65,s76]) ).
cnf(s78,plain,
spl0_11,
inference(rat,[],[s67,s70,s77]) ).
cnf(s79,plain,
spl0_10,
inference(rat,[],[s55,s3,s8,s13,s64,s70,s65,s76]) ).
cnf(s80,plain,
~ spl0_8,
inference(rat,[],[s38,s78,s76,s60,s65,s77,s79]) ).
cnf(s81,plain,
spl0_14,
inference(rat,[],[s12,s80]) ).
cnf(s82,plain,
spl0_13,
inference(rat,[],[s7,s80]) ).
cnf(s83,plain,
spl0_9,
inference(rat,[],[s2,s80]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s51,s81,s82,s77,s79,s65,s70,s64,s83,s80]) ).
fof(f720,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP311-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:51:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.73/1.05 % (261157)Input is clausal, will run a generic CNF schedule.
% 2.73/1.05 % (261168)dis-21_1_sil=8000:lcm=predicate:random_seed=3836077424: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)
% 2.73/1.05 % (261168)Refutation not found, incomplete strategy
% 2.73/1.05 % (261168)------------------------------
% 2.73/1.05 % (261168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.05 % (261168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.05 % (261168)CaDiCaL version: 2.1.3
% 2.73/1.05 % (261168)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.05 % (261168)Time elapsed: 0.001 s
% 2.73/1.05 % (261168)Peak memory usage: 88 MB
% 2.73/1.05 % (261168)Instructions burned: 2 (million)
% 2.73/1.05 % (261166)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=398266500:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.05 % (261164)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2248896607:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.05 % (261165)lrs+10_1_sil=8000:sp=occurrence:random_seed=1771008504:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.05 % (261162)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=3490060811:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.05 % (261167)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=714454353:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.05 % (261163)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2597723240:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.05 % (261165)Refutation not found, incomplete strategy
% 2.73/1.05 % (261165)------------------------------
% 2.73/1.05 % (261165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.05 % (261165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.05 % (261165)CaDiCaL version: 2.1.3
% 2.73/1.05 % (261165)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.05 % (261165)Time elapsed: 0.003 s
% 2.73/1.05 % (261165)Peak memory usage: 88 MB
% 2.73/1.05 % (261165)Instructions burned: 3 (million)
% 2.73/1.05 % (261167)First to succeed.
% 2.73/1.05 % (261167)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-261157"
% 2.73/1.05 % (261166)Instruction limit reached!
% 2.73/1.05 % (261166)------------------------------
% 2.73/1.05 % (261166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.05 % (261166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.05 % (261166)CaDiCaL version: 2.1.3
% 2.73/1.05 % (261166)Termination reason: Instruction limit
% 2.73/1.05 % (261166)Termination phase: Saturation
% 2.73/1.05 % (261166)Time elapsed: 0.068 s
% 2.73/1.05 % (261166)Peak memory usage: 89 MB
% 2.73/1.05 % (261166)Instructions burned: 115 (million)
% 2.73/1.05 % (261168)------------------------------
% 2.73/1.05 % (261168)------------------------------
% 2.73/1.05 % (261176)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=1385340285:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.73/1.05 % (261176)Refutation not found, incomplete strategy
% 2.73/1.05 % (261176)------------------------------
% 2.73/1.05 % (261176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.05 % (261176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.05 % (261176)CaDiCaL version: 2.1.3
% 2.73/1.05 % (261176)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.05 % (261176)Time elapsed: 0.003 s
% 2.73/1.05 % (261176)Peak memory usage: 88 MB
% 2.73/1.05 % (261176)Instructions burned: 3 (million)
% 2.73/1.05 % (261165)------------------------------
% 2.73/1.05 % (261165)------------------------------
% 2.73/1.05 % (261177)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3064486285:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.73/1.05 % (261177)Refutation not found, incomplete strategy
% 2.73/1.05 % (261177)------------------------------
% 2.73/1.05 % (261177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.05 % (261177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.05 % (261177)CaDiCaL version: 2.1.3
% 2.73/1.05 % (261177)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.05 % (261177)Time elapsed: 0.002 s
% 2.73/1.05 % (261177)Peak memory usage: 88 MB
% 2.73/1.05 % (261177)Instructions burned: 3 (million)
% 2.73/1.05 % (261167)Refutation found. Thanks to Tanya!
% 2.73/1.05 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.25 % (261167)------------------------------
% 3.47/1.25 % (261167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (261167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (261167)CaDiCaL version: 2.1.3
% 3.47/1.25 % (261167)Termination reason: Refutation
% 3.47/1.25 % (261167)Time elapsed: 0.017 s
% 3.47/1.25 % (261167)Peak memory usage: 89 MB
% 3.47/1.25 % (261167)Instructions burned: 25 (million)
% 3.47/1.25 % (261167)------------------------------
% 3.47/1.25 % (261167)------------------------------
% 3.47/1.25 % (261157)Success in time 0.438 s
% 3.47/1.25 % Vampire exiting
%------------------------------------------------------------------------------