%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP279-1 : 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 : n011.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 10:17:22 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 39
% Syntax : Number of formulae : 350 ( 26 unt; 16 def)
% Number of atoms : 1380 ( 346 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 2071 (1041 ~;1014 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 81 !; 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_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f43]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f61,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| multiply(X2,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X4) != sk_c7
| multiply(X4,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| sk_c8 != multiply(X2,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ),
inference(reorient_equations,[],[f65]) ).
fof(f68,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f69,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f72,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_3
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f75,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_4
<=> ! [X2,X1] :
( multiply(X1,X2) != sk_c8
| sk_c8 != multiply(X2,sk_c7)
| inverse(X1) != X2 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( ! [X2,X1] :
( multiply(X1,X2) != sk_c8
| sk_c8 != multiply(X2,sk_c7)
| inverse(X1) != X2 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f82,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_6
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f85,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f66,f84,f81,f78,f74,f71,f68]) ).
fof(f89,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f91,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl0_8
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f95,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f64,f93,f89]) ).
fof(f98,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f93,f98]) ).
fof(f103,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f104,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| spl0_10 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f105,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f108,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f110,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f114,definition,
( spl0_12
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f54,f114,f89]) ).
fof(f118,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f52,f114,f98]) ).
fof(f123,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f125,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f123,f89]) ).
fof(f127,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f123,f98]) ).
fof(f132,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f134,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f132,f89]) ).
fof(f136,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f132,f98]) ).
fof(f137,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f132,f103]) ).
fof(f138,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f28,f132,f108]) ).
fof(f139,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f26,f132,f74]) ).
fof(f141,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f143,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f141,f89]) ).
fof(f145,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f141,f98]) ).
fof(f146,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f141,f103]) ).
fof(f147,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f141,f108]) ).
fof(f148,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f16,f141,f74]) ).
fof(f151,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f84,f103]) ).
fof(f152,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f84,f108]) ).
fof(f153,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f84,f74]) ).
fof(f154,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c7,sk_c8)
| ~ spl0_3
| spl0_6 ),
inference(forward_demodulation,[],[f86,f75]) ).
fof(f155,plain,
( sk_c7 = multiply(sk_c5,multiply(sk_c7,sk_c8))
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f91,f75]) ).
fof(f157,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f3,f100]) ).
fof(f158,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f110]) ).
fof(f159,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f160,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f159,f4]) ).
fof(f164,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f157]) ).
fof(f165,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_10 ),
inference(superposition,[],[f4,f105]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(multiply(sk_c7,sk_c8),X0))
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f4,f155]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c7,multiply(sk_c8,X0)))
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f166,f4]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f164,f1]) ).
fof(f172,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f158]) ).
fof(f173,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f188,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f173,f105]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f173,f165]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f167,f173]) ).
fof(f195,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f160,f1]) ).
fof(f197,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f160,f3]) ).
fof(f198,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f160,f160]) ).
fof(f200,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_11 ),
inference(superposition,[],[f160,f173]) ).
fof(f201,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f160,f157]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_9 ),
inference(superposition,[],[f160,f168]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(multiply(sk_c8,sk_c8)),X0)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f202,f188]) ).
fof(f215,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f197,f198]) ).
fof(f223,plain,
( multiply(multiply(sk_c8,sk_c8),sk_c8) != multiply(sk_c8,multiply(sk_c8,sk_c8))
| ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f154,f188]) ).
fof(f224,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c5,multiply(multiply(sk_c8,sk_c8),sk_c8))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f155,f188]) ).
fof(f227,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c8),X0) = multiply(sk_c5,multiply(multiply(sk_c8,sk_c8),multiply(sk_c8,X0)))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f167,f188]) ).
fof(f230,plain,
( ! [X0] : multiply(multiply(sk_c8,sk_c8),X0) = multiply(inverse(multiply(sk_c8,sk_c8)),multiply(multiply(sk_c8,sk_c8),multiply(sk_c8,X0)))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f227,f213]) ).
fof(f233,plain,
( multiply(sk_c8,sk_c8) = multiply(inverse(multiply(sk_c8,sk_c8)),multiply(multiply(sk_c8,sk_c8),sk_c8))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f224,f213]) ).
fof(f234,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f223,f4]) ).
fof(f235,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(multiply(sk_c8,sk_c8),X0)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f230,f160]) ).
fof(f241,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f233,f160]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f238,f4]) ).
fof(f255,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f160,f241]) ).
fof(f257,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f255,f3]) ).
fof(f278,plain,
( sk_c7 = multiply(sk_c5,multiply(sk_c7,identity))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f155,f257]) ).
fof(f279,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f158,f257]) ).
fof(f287,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f279,f1]) ).
fof(f288,plain,
( sk_c7 = multiply(sk_c7,multiply(sk_c4,identity))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f278,f190]) ).
fof(f291,plain,
( sk_c7 = multiply(sk_c8,multiply(sk_c8,multiply(sk_c4,identity)))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f288,f189]) ).
fof(f294,plain,
( sk_c7 = multiply(sk_c8,multiply(sk_c4,identity))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f291,f242]) ).
fof(f297,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f294,f173]) ).
fof(f313,plain,
( sk_c8 != multiply(inverse(sk_c8),sk_c7)
| spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f104,f200]) ).
fof(f314,plain,
( sk_c8 = multiply(sk_c2,inverse(sk_c2))
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f125,f116]) ).
fof(f317,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f201,f215]) ).
fof(f319,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f134]) ).
fof(f323,plain,
( sk_c7 = multiply(inverse(sk_c7),multiply(sk_c7,sk_c8))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f155,f317]) ).
fof(f325,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f323,f160]) ).
fof(f341,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f95,f116]) ).
fof(f343,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_8 ),
inference(superposition,[],[f160,f95]) ).
fof(f346,plain,
( sk_c7 = multiply(inverse(inverse(sk_c2)),sk_c8)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f343,f116]) ).
fof(f350,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f346,f198]) ).
fof(f352,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f160,f143]) ).
fof(f355,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f352,f325]) ).
fof(f356,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f355,f134]) ).
fof(f357,plain,
( sk_c8 != multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f313,f325]) ).
fof(f358,plain,
( identity != sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f357,f3]) ).
fof(f360,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(inverse(sk_c2),X0))
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f4,f314]) ).
fof(f371,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c5,sk_c7)
| sk_c5 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f79,f157]) ).
fof(f373,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(multiply(sk_c7,sk_c8),sk_c7)
| multiply(sk_c7,sk_c8) != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f79,f155]) ).
fof(f376,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(inverse(sk_c2),sk_c7)
| inverse(sk_c2) != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f79,f314]) ).
fof(f379,plain,
( sk_c8 != multiply(inverse(sk_c2),sk_c7)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f376]) ).
fof(f384,plain,
( sk_c8 != multiply(multiply(sk_c7,sk_c8),sk_c7)
| multiply(sk_c7,sk_c8) != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f373,f325]) ).
fof(f395,plain,
( sk_c8 != multiply(sk_c7,multiply(sk_c8,sk_c7))
| multiply(sk_c7,sk_c8) != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f384,f4]) ).
fof(f402,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c8,sk_c8))
| multiply(sk_c7,sk_c8) != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f395,f325]) ).
fof(f409,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| multiply(sk_c7,sk_c8) != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f402,f356]) ).
fof(f414,plain,
( multiply(sk_c7,sk_c8) != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f409,f356]) ).
fof(f418,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f414,f100]) ).
fof(f421,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f418,f325]) ).
fof(f422,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f421,f356]) ).
fof(f423,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f424,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c7,sk_c8)
| spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f76,f85]) ).
fof(f425,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f91,f202]) ).
fof(f427,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f352,f134]) ).
fof(f429,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f379,f341]) ).
fof(f430,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f432,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c5,sk_c7)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f371,f317]) ).
fof(f438,definition,
( spl0_17
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f439,plain,
( identity = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f440,plain,
( identity != sk_c8
| spl0_17 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f444,plain,
( sk_c7 = multiply(inverse(sk_c7),multiply(sk_c8,sk_c7))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f425,f85]) ).
fof(f455,plain,
( sk_c8 != multiply(inverse(sk_c7),sk_c7)
| identity != sk_c8
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f432,f202]) ).
fof(f456,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f444,f427]) ).
fof(f457,plain,
( identity != sk_c8
| identity != sk_c8
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f455,f3]) ).
fof(f458,plain,
( identity != sk_c8
| ~ spl0_4
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f457]) ).
fof(f459,plain,
( ~ spl0_17
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f458,f98,f78,f438]) ).
fof(f460,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_14 ),
inference(superposition,[],[f160,f319]) ).
fof(f463,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f460,f215]) ).
fof(f469,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f143,f463]) ).
fof(f471,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f469,f3]) ).
fof(f473,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f157,f471]) ).
fof(f476,plain,
( multiply(identity,sk_c8) != multiply(sk_c8,identity)
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f424,f471]) ).
fof(f477,plain,
( identity = multiply(inverse(identity),sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f456,f471]) ).
fof(f478,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f477,f195]) ).
fof(f479,plain,
( sk_c8 != multiply(identity,sk_c8)
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f476,f215]) ).
fof(f482,plain,
( identity = sk_c5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f473,f1]) ).
fof(f484,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f478,f141,f132,f98,f89,f84,f438]) ).
fof(f485,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f479,f1]) ).
fof(f486,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f489,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f69,f471]) ).
fof(f491,plain,
( ~ spl0_17
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f358,f108,f103,f98,f89,f74,f438]) ).
fof(f494,plain,
( ! [X4] :
( sk_c7 != multiply(X4,multiply(sk_c8,sk_c7))
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f489,f85]) ).
fof(f497,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f494,f427]) ).
fof(f500,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f497,f439]) ).
fof(f501,plain,
( ! [X4] :
( sk_c7 != X4
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f500,f215]) ).
fof(f502,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f501,f471]) ).
fof(f514,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f319,f439]) ).
fof(f517,plain,
( identity = sk_c1
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f514,f1]) ).
fof(f525,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f502,f134]) ).
fof(f526,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f525,f439]) ).
fof(f528,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f526,f517]) ).
fof(f529,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f532,plain,
( ! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f82,f439]) ).
fof(f533,plain,
( ! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f532,f215]) ).
fof(f534,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f533,f471]) ).
fof(f535,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f534,f439]) ).
fof(f548,plain,
( identity != sk_c7
| identity != sk_c5
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f535,f100]) ).
fof(f549,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f535,f134]) ).
fof(f550,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f549,f439]) ).
fof(f551,plain,
( identity != sk_c5
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f548,f471]) ).
fof(f552,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f550,f517]) ).
fof(f553,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f554,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f551,f482]) ).
fof(f555,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f556,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f72,f439]) ).
fof(f557,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f556,f471]) ).
fof(f558,plain,
( ! [X3] :
( sk_c8 != X3
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f557,f215]) ).
fof(f559,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != X3 )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f558,f439]) ).
fof(f572,plain,
( identity != sk_c7
| identity != sk_c5
| ~ spl0_2
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f559,f100]) ).
fof(f573,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f559,f134]) ).
fof(f574,plain,
( identity != sk_c1
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f573,f439]) ).
fof(f575,plain,
( identity != sk_c5
| ~ spl0_2
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f572,f471]) ).
fof(f576,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f574,f517]) ).
fof(f577,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f578,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f575,f482]) ).
fof(f579,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f665,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c8)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f360,f341]) ).
fof(f674,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f665,f350]) ).
fof(f678,plain,
( sk_c8 = sk_c7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f674,f427]) ).
fof(f679,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f678,f471]) ).
fof(f680,plain,
( $false
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f679,f440]) ).
fof(f681,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f683,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f257,f440]) ).
fof(f684,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f688,plain,
( sk_c8 = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f110,f287]) ).
fof(f691,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f69,f325]) ).
fof(f703,plain,
( ! [X4] :
( inverse(X4) != inverse(identity)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f691,f688]) ).
fof(f710,plain,
( ! [X4] :
( sk_c7 != multiply(X4,multiply(sk_c8,sk_c7))
| inverse(X4) != inverse(identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f703,f85]) ).
fof(f713,plain,
( ! [X4] :
( sk_c8 != multiply(X4,multiply(sk_c8,sk_c8))
| inverse(X4) != inverse(identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f710,f325]) ).
fof(f715,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| inverse(X4) != inverse(identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f713,f241]) ).
fof(f716,plain,
( ! [X4] :
( inverse(identity) != multiply(X4,inverse(identity))
| inverse(X4) != inverse(identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f715,f688]) ).
fof(f742,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f439,f688]) ).
fof(f765,plain,
( inverse(identity) != inverse(identity)
| inverse(identity) != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f716,f1]) ).
fof(f768,plain,
( inverse(identity) != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f765]) ).
fof(f769,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f768]) ).
fof(f770,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f780,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f556,f325]) ).
fof(f782,plain,
( ! [X3] :
( inverse(identity) != multiply(X3,inverse(identity))
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f780,f688]) ).
fof(f808,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f782,f742]) ).
fof(f815,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != X3 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f808,f215]) ).
fof(f841,plain,
( identity != sk_c7
| identity != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f815,f100]) ).
fof(f842,plain,
( identity != sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f841,f297]) ).
fof(f843,plain,
( identity != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f842,f317]) ).
fof(f844,plain,
( identity != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f843,f325]) ).
fof(f845,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f844,f688]) ).
fof(f846,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f845,f742]) ).
fof(f847,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f846,f742]) ).
fof(f848,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f850,plain,
( ! [X0] :
( sk_c8 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f533,f325]) ).
fof(f852,plain,
( ! [X0] :
( inverse(identity) != X0
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f850,f688]) ).
fof(f854,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f852,f742]) ).
fof(f856,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != X0 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f854,f688]) ).
fof(f858,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f856,f742]) ).
fof(f863,plain,
( identity != sk_c7
| identity != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f858,f100]) ).
fof(f864,plain,
( identity != sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f863,f297]) ).
fof(f865,plain,
( identity != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f864,f317]) ).
fof(f866,plain,
( identity != inverse(sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f865,f325]) ).
fof(f867,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f866,f688]) ).
fof(f868,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f867,f742]) ).
fof(f869,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f868,f742]) ).
fof(f870,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f869]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f87]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f96]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f101]) ).
cnf(s7,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s8,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f118]) ).
cnf(s12,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s17,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s18,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s19,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s20,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s21,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s22,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s23,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s24,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s25,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s26,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s29,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s30,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f152]) ).
cnf(s31,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f153]) ).
cnf(s32,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f235]) ).
cnf(s36,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f423]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f430]) ).
cnf(s40,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f459]) ).
cnf(s42,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f484]) ).
cnf(s43,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f486]) ).
cnf(s44,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f491]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f529]) ).
cnf(s47,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f553]) ).
cnf(s48,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f555]) ).
cnf(s49,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f577]) ).
cnf(s50,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f579]) ).
cnf(s53,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f681]) ).
cnf(s54,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f684]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f770]) ).
cnf(s59,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f848]) ).
cnf(s60,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f870]) ).
cnf(s61,plain,
spl0_3,
inference(rat,[],[s43,s21,s26,s31]) ).
cnf(s62,plain,
spl0_6,
inference(rat,[],[s32,s29,s30,s61]) ).
cnf(s63,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_5
| ~ spl0_7 ),
inference(rat,[],[s54,s60,s61]) ).
cnf(s64,plain,
( spl0_11
| ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s42,s48,s20,s25,s62]) ).
cnf(s65,plain,
( ~ spl0_11
| ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s42,s44,s19,s24,s63,s61,s62]) ).
cnf(s66,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s65,s64]) ).
cnf(s67,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s3,s53,s47,s8,s13,s18,s23]) ).
cnf(s68,plain,
( ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s53,s48,s2,s7,s12,s17,s22,s66]) ).
cnf(s69,plain,
~ spl0_5,
inference(rat,[],[s68,s67]) ).
cnf(s70,plain,
( spl0_15
| spl0_17
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s54,s24,s25,s61]) ).
cnf(s71,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s54,s19,s20,s36,s70,s40,s61]) ).
cnf(s72,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s37,s3,s8,s13]) ).
cnf(s73,plain,
( ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s37,s2,s7,s12,s71]) ).
cnf(s74,plain,
~ spl0_4,
inference(rat,[],[s73,s72]) ).
cnf(s75,plain,
( spl0_17
| ~ spl0_15
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s54,s19,s20,s42,s62,s61]) ).
cnf(s76,plain,
( spl0_17
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s75,s70]) ).
cnf(s77,plain,
( spl0_14
| ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s59,s19,s20,s76,s61]) ).
cnf(s78,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s59,s24,s25,s50,s77,s76,s61]) ).
cnf(s79,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s53,s49,s3,s8,s13,s18,s23]) ).
cnf(s80,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s53,s50,s2,s7,s12,s17,s22,s78]) ).
cnf(s81,plain,
~ spl0_2,
inference(rat,[],[s80,s79]) ).
cnf(s82,plain,
spl0_1,
inference(rat,[],[s1,s62,s69,s61,s74,s81]) ).
cnf(s83,plain,
( spl0_14
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s56,s19,s20,s61,s62,s82]) ).
cnf(s84,plain,
( ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s56,s24,s25,s45,s83,s76,s82,s62,s61]) ).
cnf(s85,plain,
spl0_9,
inference(rat,[],[s53,s45,s3,s8,s13,s18,s23,s82,s62]) ).
cnf(s86,plain,
~ spl0_7,
inference(rat,[],[s84,s85]) ).
cnf(s87,plain,
spl0_15,
inference(rat,[],[s22,s86]) ).
cnf(s88,plain,
spl0_14,
inference(rat,[],[s17,s86]) ).
cnf(s89,plain,
spl0_13,
inference(rat,[],[s12,s86]) ).
cnf(s90,plain,
spl0_12,
inference(rat,[],[s7,s86]) ).
cnf(s91,plain,
spl0_8,
inference(rat,[],[s2,s86]) ).
cnf(s92,plain,
~ spl0_17,
inference(rat,[],[s45,s62,s87,s82,s88]) ).
cnf(s93,plain,
$false,
inference(rat,[],[s53,s92,s87,s88,s89,s90,s91]) ).
fof(f871,plain,
$false,
inference(avatar_sat_refutation,[],[s93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP279-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n011.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 09:44:15 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
% 0.16/0.46 % (2159796)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (2159806)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3037352543:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (2159802)% WARNING: option uhcvi not known.
% 0.16/0.46 % (2159801)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=470890423_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (2159805)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1456324229:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (2159802)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2581118105:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (2159803)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2406954412:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (2159804)dis+10_1_sil=32000:sp=arity:random_seed=4178094637:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (2159807)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=199923895:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (2159806) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2159796-2159806"...
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % (2159806)...printing done.
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (2159806)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2159806)------------------------------
% 0.16/0.47 % (2159806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2159806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2159806)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2159806)Termination reason: Refutation
% 0.16/0.47 % (2159806)Time elapsed: 0.011 s
% 0.16/0.47 % (2159806)Peak memory usage: 12 MB
% 0.16/0.47 % (2159806)Instructions burned: 29 (million)
% 0.16/0.47 % (2159796)Success in time 0.046 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------