%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP359-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:35 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 47
% Syntax : Number of formulae : 368 ( 24 unt; 13 def)
% Number of atoms : 1502 ( 408 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2201 (1067 ~;1121 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( 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,
( inverse(sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = inverse(sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = inverse(sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c8,sk_c2) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c1) = 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_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c1) = 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_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c1) = 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_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c1) = 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_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c1)
| 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
| inverse(sk_c8) != sk_c6
| multiply(sk_c8,X0) != sk_c7
| multiply(X1,sk_c8) != X0
| 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_c6 != inverse(sk_c8)
| sk_c7 != multiply(sk_c8,X0)
| multiply(X1,sk_c8) != X0
| 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(f68,definition,
( spl0_1
<=> ! [X4,X3] :
( sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f69,plain,
( ! [X3,X4] :
( sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f72,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_3
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_4
<=> sk_c6 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( sk_c6 != inverse(sk_c8)
| spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_5
<=> multiply(sk_c7,sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f66,f82,f78,f68,f74,f71,f68]) ).
fof(f87,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f89,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f93,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f64,f91,f87]) ).
fof(f96,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( sk_c5 != multiply(sk_c4,sk_c8)
| spl0_8 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f62,f91,f96]) ).
fof(f101,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f103,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f60,f91,f101]) ).
fof(f106,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f58,f91,f106]) ).
fof(f111,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f112,plain,
( sk_c7 != multiply(sk_c3,sk_c8)
| spl0_11 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f113,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f56,f91,f111]) ).
fof(f115,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f54,f91,f74]) ).
fof(f117,definition,
( spl0_12
<=> sk_c2 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f119,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f52,f117,f87]) ).
fof(f121,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f50,f117,f96]) ).
fof(f122,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f48,f117,f101]) ).
fof(f123,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f46,f117,f106]) ).
fof(f124,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f117,f111]) ).
fof(f125,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f117,f74]) ).
fof(f127,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c8,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f129,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f40,f127,f87]) ).
fof(f131,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f38,f127,f96]) ).
fof(f132,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f36,f127,f101]) ).
fof(f133,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f127,f106]) ).
fof(f134,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f127,f111]) ).
fof(f135,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f127,f74]) ).
fof(f136,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f28,f78,f87]) ).
fof(f137,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f78,f96]) ).
fof(f138,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f78,f101]) ).
fof(f139,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f78,f106]) ).
fof(f140,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f78,f111]) ).
fof(f141,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f78,f74]) ).
fof(f142,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f82,f87]) ).
fof(f143,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f82,f96]) ).
fof(f144,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f82,f101]) ).
fof(f145,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f82,f106]) ).
fof(f146,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f82,f111]) ).
fof(f147,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f82,f74]) ).
fof(f148,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f3,f3]) ).
fof(f149,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f3,f89]) ).
fof(f150,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_10 ),
inference(superposition,[],[f3,f108]) ).
fof(f151,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f152,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f151,f4]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f113]) ).
fof(f163,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f149]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f163,f1]) ).
fof(f167,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f164,f98]) ).
fof(f170,plain,
( sk_c7 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f167,f103]) ).
fof(f174,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f75,f170]) ).
fof(f175,plain,
( sk_c6 != inverse(sk_c7)
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f80,f170]) ).
fof(f179,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f149,f170]) ).
fof(f194,plain,
( multiply(sk_c7,sk_c4) = multiply(sk_c3,identity)
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f158,f149]) ).
fof(f197,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f194,f179]) ).
fof(f228,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f152,f1]) ).
fof(f230,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f152,f3]) ).
fof(f231,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f152,f152]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_6 ),
inference(superposition,[],[f152,f164]) ).
fof(f236,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f152,f150]) ).
fof(f237,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f152,f103]) ).
fof(f238,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_6 ),
inference(superposition,[],[f152,f149]) ).
fof(f239,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f152,f113]) ).
fof(f241,plain,
( identity = multiply(inverse(sk_c3),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f152,f197]) ).
fof(f250,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f241,f108]) ).
fof(f252,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f239,f108]) ).
fof(f253,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f238,f170]) ).
fof(f260,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f230,f231]) ).
fof(f263,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f250,f170]) ).
fof(f265,plain,
( sk_c6 = sk_c8
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f252,f75]) ).
fof(f271,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f263,f260]) ).
fof(f273,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f265,f170]) ).
fof(f277,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f273,f271]) ).
fof(f280,plain,
( identity != inverse(sk_c7)
| ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f175,f277]) ).
fof(f281,plain,
( identity != inverse(identity)
| ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f280,f271]) ).
fof(f296,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f152,f148]) ).
fof(f299,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(forward_demodulation,[],[f296,f231]) ).
fof(f337,plain,
( identity = multiply(sk_c8,multiply(inverse(sk_c7),identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f149,f253]) ).
fof(f342,plain,
( identity = multiply(sk_c8,inverse(sk_c7))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f337,f260]) ).
fof(f347,plain,
( identity = multiply(sk_c8,inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f342,f271]) ).
fof(f351,plain,
( identity = multiply(sk_c7,inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f347,f170]) ).
fof(f355,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f351,f271]) ).
fof(f358,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f355,f1]) ).
fof(f361,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f358,f281]) ).
fof(f362,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f365,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f84,f170]) ).
fof(f367,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c7,sk_c7))
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f365,f174]) ).
fof(f369,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f367,f271]) ).
fof(f370,plain,
( identity != multiply(identity,identity)
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f369,f1]) ).
fof(f371,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f370,f1]) ).
fof(f372,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f373,plain,
( ! [X3,X4] :
( sk_c7 != multiply(sk_c7,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f69,f170]) ).
fof(f375,plain,
( ! [X3,X4] :
( identity != multiply(identity,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f373,f271]) ).
fof(f377,plain,
( ! [X3,X4] :
( identity != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f375,f1]) ).
fof(f379,plain,
( ! [X3,X4] :
( sk_c7 != inverse(X4)
| identity != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f377,f170]) ).
fof(f381,plain,
( ! [X3,X4] :
( identity != inverse(X4)
| identity != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f379,f271]) ).
fof(f382,plain,
( ! [X3,X4] :
( multiply(X4,sk_c7) != X3
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f381,f170]) ).
fof(f383,plain,
( ! [X3,X4] :
( multiply(X4,identity) != X3
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f382,f271]) ).
fof(f384,plain,
( ! [X3,X4] :
( X3 != X4
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f383,f260]) ).
fof(f395,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(equality_resolution,[],[f384]) ).
fof(f405,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f395,f89]) ).
fof(f412,plain,
( identity != sk_c7
| identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f405,f170]) ).
fof(f414,plain,
( identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f412,f271]) ).
fof(f416,plain,
( identity != multiply(inverse(sk_c7),identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f414,f253]) ).
fof(f418,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f416,f260]) ).
fof(f420,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f418,f271]) ).
fof(f423,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f420,f358]) ).
fof(f424,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f425,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f72,f170]) ).
fof(f426,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f425,f271]) ).
fof(f427,plain,
( ! [X2] :
( identity != X2
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f426,f260]) ).
fof(f428,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| identity != X2 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f427,f170]) ).
fof(f429,plain,
( ! [X2] :
( identity != inverse(X2)
| identity != X2 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f428,f271]) ).
fof(f444,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f429,f89]) ).
fof(f451,plain,
( identity != sk_c7
| identity != sk_c4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f444,f170]) ).
fof(f453,plain,
( identity != sk_c4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f451,f271]) ).
fof(f455,plain,
( identity != multiply(inverse(sk_c7),identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f453,f253]) ).
fof(f457,plain,
( identity != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f455,f260]) ).
fof(f459,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f457,f271]) ).
fof(f462,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f459,f358]) ).
fof(f463,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f467,plain,
( sk_c3 = inverse(sk_c8)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f236,f260]) ).
fof(f510,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_7 ),
inference(superposition,[],[f3,f93]) ).
fof(f555,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f152,f119]) ).
fof(f558,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f555,f93]) ).
fof(f559,plain,
( sk_c7 = sk_c8
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f558,f129]) ).
fof(f616,plain,
( sk_c6 = sk_c3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f467,f79]) ).
fof(f617,plain,
( identity = multiply(multiply(sk_c7,sk_c6),sk_c1)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f510,f83]) ).
fof(f622,plain,
( identity = multiply(sk_c7,multiply(sk_c6,sk_c1))
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f617,f4]) ).
fof(f630,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl0_4 ),
inference(superposition,[],[f3,f79]) ).
fof(f631,plain,
( identity = multiply(sk_c6,multiply(sk_c7,sk_c6))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f630,f83]) ).
fof(f636,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f79,f559]) ).
fof(f637,plain,
( sk_c5 != multiply(sk_c4,sk_c7)
| ~ spl0_7
| spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f97,f559]) ).
fof(f642,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f150,f559]) ).
fof(f649,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f642,f616]) ).
fof(f653,plain,
( sk_c5 != multiply(inverse(sk_c8),sk_c7)
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f637,f232]) ).
fof(f657,plain,
( identity = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f649,f636]) ).
fof(f661,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f653,f237]) ).
fof(f662,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f683,plain,
( sk_c7 != multiply(sk_c3,multiply(sk_c7,sk_c6))
| ~ spl0_5
| spl0_11 ),
inference(forward_demodulation,[],[f112,f83]) ).
fof(f692,plain,
( sk_c7 != multiply(sk_c3,multiply(sk_c7,inverse(sk_c7)))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f683,f636]) ).
fof(f696,plain,
( sk_c7 != multiply(sk_c3,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f692,f657]) ).
fof(f699,plain,
( sk_c7 != sk_c3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f696,f260]) ).
fof(f702,plain,
( sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f699,f616]) ).
fof(f705,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f702,f636]) ).
fof(f743,plain,
( sk_c6 != multiply(multiply(sk_c7,sk_c6),sk_c7)
| spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f76,f83]) ).
fof(f745,plain,
( sk_c7 = multiply(multiply(sk_c7,sk_c6),sk_c5)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f103,f83]) ).
fof(f749,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f559,f83]) ).
fof(f750,plain,
( sk_c7 = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f749,f636]) ).
fof(f754,plain,
( sk_c7 = multiply(sk_c7,multiply(sk_c6,sk_c5))
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f745,f4]) ).
fof(f756,plain,
( sk_c6 != multiply(sk_c7,multiply(sk_c6,sk_c7))
| spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f743,f4]) ).
fof(f758,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f750,f657]) ).
fof(f762,plain,
( sk_c7 = multiply(sk_c7,multiply(sk_c6,multiply(inverse(sk_c8),sk_c7)))
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f754,f237]) ).
fof(f764,plain,
( inverse(sk_c7) != multiply(sk_c7,multiply(inverse(sk_c7),sk_c7))
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f756,f636]) ).
fof(f769,plain,
( identity = multiply(identity,multiply(sk_c6,multiply(inverse(sk_c8),identity)))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f762,f758]) ).
fof(f770,plain,
( sk_c7 != inverse(sk_c7)
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f764,f299]) ).
fof(f772,plain,
( identity = multiply(sk_c6,multiply(inverse(sk_c8),identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f769,f1]) ).
fof(f774,plain,
( identity = multiply(sk_c6,inverse(sk_c8))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f772,f260]) ).
fof(f776,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f774,f79]) ).
fof(f778,plain,
( identity = multiply(inverse(sk_c7),inverse(sk_c7))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f776,f636]) ).
fof(f780,plain,
( identity = multiply(inverse(identity),inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f778,f758]) ).
fof(f782,plain,
( identity = inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f780,f228]) ).
fof(f937,plain,
( multiply(inverse(sk_c7),identity) = multiply(sk_c6,sk_c1)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f152,f622]) ).
fof(f957,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f705,f758]) ).
fof(f958,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f957,f782]) ).
fof(f959,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f1022,plain,
( identity = multiply(inverse(sk_c7),multiply(sk_c7,inverse(sk_c7)))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f631,f636]) ).
fof(f1023,plain,
( multiply(sk_c7,sk_c6) = multiply(inverse(sk_c6),identity)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f152,f631]) ).
fof(f1026,plain,
( multiply(sk_c7,sk_c6) = inverse(sk_c6)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1023,f260]) ).
fof(f1027,plain,
( identity = inverse(sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1022,f152]) ).
fof(f1031,plain,
( inverse(inverse(sk_c7)) = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1026,f636]) ).
fof(f1094,plain,
( ! [X3,X4] :
( sk_c7 != multiply(multiply(sk_c7,sk_c6),X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f69,f83]) ).
fof(f1108,plain,
( multiply(inverse(sk_c7),identity) = multiply(inverse(sk_c7),sk_c1)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f937,f636]) ).
fof(f1111,plain,
( sk_c7 = inverse(inverse(sk_c7))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1031,f750]) ).
fof(f1112,plain,
( ! [X3,X4] :
( sk_c7 != multiply(sk_c7,multiply(sk_c6,X3))
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1094,f4]) ).
fof(f1125,plain,
( multiply(identity,identity) = multiply(identity,sk_c1)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1108,f1027]) ).
fof(f1127,plain,
( sk_c7 = inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1111,f1027]) ).
fof(f1128,plain,
( ! [X3,X4] :
( sk_c7 != multiply(sk_c7,multiply(inverse(sk_c7),X3))
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1112,f636]) ).
fof(f1141,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1125,f1]) ).
fof(f1143,plain,
( ! [X3,X4] :
( sk_c7 != multiply(sk_c7,multiply(identity,X3))
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1128,f1027]) ).
fof(f1154,plain,
( identity = sk_c1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1141,f1]) ).
fof(f1156,plain,
( ! [X3,X4] :
( sk_c7 != multiply(sk_c7,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1143,f1]) ).
fof(f1166,plain,
( ! [X3,X4] :
( inverse(identity) != multiply(inverse(identity),X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1156,f1127]) ).
fof(f1175,plain,
( ! [X3,X4] :
( inverse(identity) != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1166,f228]) ).
fof(f1184,plain,
( ! [X3,X4] :
( multiply(sk_c7,sk_c6) != inverse(X4)
| inverse(identity) != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1175,f83]) ).
fof(f1192,plain,
( ! [X3,X4] :
( inverse(X4) != multiply(sk_c7,inverse(sk_c7))
| inverse(identity) != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1184,f636]) ).
fof(f1199,plain,
( ! [X3,X4] :
( sk_c7 != inverse(X4)
| inverse(identity) != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1192,f750]) ).
fof(f1204,plain,
( ! [X3,X4] :
( inverse(X4) != inverse(identity)
| inverse(identity) != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1199,f1127]) ).
fof(f1209,plain,
( ! [X3,X4] :
( multiply(X4,multiply(sk_c7,sk_c6)) != X3
| inverse(X4) != inverse(identity)
| inverse(identity) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1204,f83]) ).
fof(f1214,plain,
( ! [X3,X4] :
( multiply(X4,multiply(sk_c7,inverse(sk_c7))) != X3
| inverse(X4) != inverse(identity)
| inverse(identity) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1209,f636]) ).
fof(f1218,plain,
( ! [X3,X4] :
( multiply(X4,sk_c7) != X3
| inverse(X4) != inverse(identity)
| inverse(identity) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1214,f750]) ).
fof(f1221,plain,
( ! [X3,X4] :
( multiply(X4,inverse(identity)) != X3
| inverse(X4) != inverse(identity)
| inverse(identity) != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1218,f1127]) ).
fof(f1232,plain,
( identity = multiply(sk_c7,multiply(sk_c6,identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f622,f1154]) ).
fof(f1236,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1232,f260]) ).
fof(f1238,plain,
( identity = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1236,f636]) ).
fof(f1239,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1238,f1027]) ).
fof(f1240,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1239,f260]) ).
fof(f1242,plain,
( ! [X0] :
( inverse(identity) != X0
| inverse(identity) != inverse(identity)
| inverse(identity) != X0 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1221,f1]) ).
fof(f1248,plain,
( ! [X0] :
( inverse(identity) != X0
| inverse(identity) != inverse(identity) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f1242]) ).
fof(f1249,plain,
( ! [X0] : inverse(identity) != X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1248]) ).
fof(f1273,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(equality_resolution,[],[f1249]) ).
fof(f1274,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1273]) ).
fof(f1277,plain,
( identity != sk_c7
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f770,f1027]) ).
fof(f1280,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1277,f1240]) ).
fof(f1281,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1290,plain,
( ! [X2] :
( sk_c7 != multiply(X2,multiply(sk_c7,sk_c6))
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f72,f83]) ).
fof(f1292,plain,
( ! [X2] :
( sk_c7 != multiply(X2,multiply(sk_c7,inverse(sk_c7)))
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1290,f636]) ).
fof(f1294,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1292,f750]) ).
fof(f1296,plain,
( ! [X2] :
( inverse(identity) != multiply(X2,inverse(identity))
| sk_c8 != inverse(X2) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1294,f1127]) ).
fof(f1298,plain,
( ! [X2] :
( multiply(sk_c7,sk_c6) != inverse(X2)
| inverse(identity) != multiply(X2,inverse(identity)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1296,f83]) ).
fof(f1300,plain,
( ! [X2] :
( inverse(X2) != multiply(sk_c7,inverse(sk_c7))
| inverse(identity) != multiply(X2,inverse(identity)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1298,f636]) ).
fof(f1302,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| inverse(identity) != multiply(X2,inverse(identity)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1300,f750]) ).
fof(f1304,plain,
( ! [X2] :
( inverse(X2) != inverse(identity)
| inverse(identity) != multiply(X2,inverse(identity)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1302,f1127]) ).
fof(f1359,plain,
( inverse(identity) != multiply(identity,inverse(identity))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(equality_resolution,[],[f1304]) ).
fof(f1361,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1359,f1]) ).
fof(f1362,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1361]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f85]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f94]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f99]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f104]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f109]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f114]) ).
cnf(s8,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f115]) ).
cnf(s9,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s10,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s11,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f123]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f124]) ).
cnf(s14,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f125]) ).
cnf(s15,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f130]) ).
cnf(s16,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f131]) ).
cnf(s17,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f132]) ).
cnf(s18,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f133]) ).
cnf(s19,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f134]) ).
cnf(s20,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s21,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f136]) ).
cnf(s22,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f137]) ).
cnf(s23,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f138]) ).
cnf(s24,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f139]) ).
cnf(s25,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f140]) ).
cnf(s26,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f141]) ).
cnf(s27,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f142]) ).
cnf(s28,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f143]) ).
cnf(s29,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f144]) ).
cnf(s30,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f145]) ).
cnf(s31,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f146]) ).
cnf(s32,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f147]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f362]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f372]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f424]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f463]) ).
cnf(s45,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f662]) ).
cnf(s47,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f959]) ).
cnf(s60,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1274]) ).
cnf(s61,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1281]) ).
cnf(s62,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s66,plain,
spl0_3,
inference(rat,[],[s61,s8,s14,s20,s26,s32]) ).
cnf(s67,plain,
spl0_5,
inference(rat,[],[s34,s27,s28,s29,s30,s31,s66]) ).
cnf(s68,plain,
spl0_4,
inference(rat,[],[s33,s21,s22,s23,s24,s25,s66]) ).
cnf(s69,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s47,s13,s19,s40,s68,s67]) ).
cnf(s70,plain,
( spl0_10
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s62,s12,s18,s68,s67]) ).
cnf(s71,plain,
( spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s62,s11,s17,s68,s67]) ).
cnf(s72,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_2
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s45,s10,s16,s69]) ).
cnf(s73,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s72,s71,s70]) ).
cnf(s74,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s40,s4,s5,s6,s7,s73]) ).
cnf(s75,plain,
~ spl0_2,
inference(rat,[],[s62,s3,s9,s15,s74,s68,s67]) ).
cnf(s76,plain,
spl0_1,
inference(rat,[],[s2,s67,s66,s68,s75]) ).
cnf(s77,plain,
( spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s47,s13,s19,s68,s67]) ).
cnf(s78,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s45,s10,s16]) ).
cnf(s79,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s37,s77,s78,s76]) ).
cnf(s80,plain,
( spl0_10
| ~ spl0_7 ),
inference(rat,[],[s60,s12,s18,s68,s67,s76]) ).
cnf(s81,plain,
( ~ spl0_10
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s60,s11,s17,s79,s76,s67,s68]) ).
cnf(s82,plain,
( ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s81,s80]) ).
cnf(s83,plain,
~ spl0_6,
inference(rat,[],[s37,s4,s5,s6,s7,s82,s76]) ).
cnf(s84,plain,
spl0_13,
inference(rat,[],[s15,s83]) ).
cnf(s85,plain,
spl0_12,
inference(rat,[],[s9,s83]) ).
cnf(s86,plain,
spl0_7,
inference(rat,[],[s3,s83]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s60,s76,s67,s68,s86,s85,s84]) ).
fof(f1380,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP359-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:55:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.46 % (3749477)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (3749487)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2108993228:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.46 % (3749483)% WARNING: option uhcvi not known.
% 0.15/0.46 % (3749486)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=452093989:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (3749482)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2462865021_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % (3749483)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2535963813:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.46 % (3749484)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1096687374:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.46 % (3749485)dis+10_1_sil=32000:sp=arity:random_seed=3316777558:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (3749488)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3207527531:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % (3749487) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3749477-3749487"...
% 0.15/0.46 % TRYING [3]
% 0.15/0.46 % (3749487)...printing done.
% 0.15/0.46 % TRYING [4]
% 0.15/0.46 % (3749487)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (3749487)------------------------------
% 0.15/0.47 % (3749487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (3749487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (3749487)CaDiCaL version: 2.1.3
% 0.15/0.47 % (3749487)Termination reason: Refutation
% 0.15/0.47 % (3749487)Time elapsed: 0.013 s
% 0.15/0.47 % (3749487)Peak memory usage: 12 MB
% 0.15/0.47 % (3749487)Instructions burned: 39 (million)
% 0.15/0.47 % (3749477)Success in time 0.042 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------