%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP370-1 : 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 : n001.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 10:17:37 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 42
% Syntax : Number of formulae : 355 ( 24 unt; 16 def)
% Number of atoms : 1220 ( 381 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1695 ( 830 ~; 849 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 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_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c9,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c7 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c9,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c2 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c9,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c2 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f53]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c7,sk_c8) != sk_c9
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c7
| multiply(sk_c9,X4) != sk_c7
| multiply(X5,sk_c9) != X4
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c7,sk_c8) != sk_c9
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c9,X4)
| multiply(X5,sk_c9) != X4
| sk_c9 != inverse(X5) ),
inference(reorient_equations,[],[f61]) ).
fof(f64,definition,
( spl0_1
<=> ! [X4,X5] :
( sk_c7 != multiply(sk_c9,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f65,plain,
( ! [X4,X5] :
( sk_c7 != multiply(sk_c9,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f68,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_3
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f71,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_4
<=> ! [X0,X1] :
( multiply(X0,X1) != sk_c8
| sk_c8 != multiply(X1,sk_c7)
| inverse(X0) != X1 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f74,plain,
( ! [X0,X1] :
( multiply(X0,X1) != sk_c8
| sk_c8 != multiply(X1,sk_c7)
| inverse(X0) != X1 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_5
<=> multiply(sk_c7,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f77,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( multiply(sk_c7,sk_c8) != sk_c9
| spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f62,f76,f73,f70,f67,f64]) ).
fof(f81,definition,
( spl0_6
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f83,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f87,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f60,f85,f81]) ).
fof(f90,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c5,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f91,plain,
( sk_c6 != multiply(sk_c5,sk_c9)
| spl0_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f92,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f95,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c9,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c9,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f100,definition,
( spl0_10
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f102,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f54,f85,f100]) ).
fof(f105,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f52,f85,f105]) ).
fof(f110,definition,
( spl0_12
<=> sk_c9 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f112,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f115,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f116,plain,
( sk_c8 != multiply(sk_c3,sk_c9)
| spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f120,definition,
( spl0_14
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f122,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f46,f120,f81]) ).
fof(f124,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f120,f90]) ).
fof(f125,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f120,f95]) ).
fof(f126,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f120,f100]) ).
fof(f127,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f120,f105]) ).
fof(f128,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f120,f110]) ).
fof(f129,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f120,f115]) ).
fof(f131,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f132,plain,
( sk_c8 != multiply(sk_c1,sk_c2)
| spl0_15 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f131,f81]) ).
fof(f135,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f131,f90]) ).
fof(f136,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f131,f95]) ).
fof(f137,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f131,f100]) ).
fof(f138,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f131,f105]) ).
fof(f139,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f131,f110]) ).
fof(f140,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f131,f115]) ).
fof(f141,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f18,f76,f81]) ).
fof(f142,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f76,f90]) ).
fof(f143,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f76,f95]) ).
fof(f146,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f76,f110]) ).
fof(f147,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f76,f115]) ).
fof(f148,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f3,f3]) ).
fof(f149,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f3,f83]) ).
fof(f150,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f102]) ).
fof(f151,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f3,f112]) ).
fof(f152,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f153,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f152,f4]) ).
fof(f158,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f149]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f170,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f162,f92]) ).
fof(f173,plain,
( sk_c7 = sk_c9
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f170,f97]) ).
fof(f177,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f78,f173]) ).
fof(f178,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f92,f173]) ).
fof(f180,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f117,f173]) ).
fof(f181,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f149,f173]) ).
fof(f182,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f151,f173]) ).
fof(f220,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f153,f3]) ).
fof(f221,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f153,f153]) ).
fof(f222,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_10 ),
inference(superposition,[],[f153,f150]) ).
fof(f224,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c9),X0)
| ~ spl0_6 ),
inference(superposition,[],[f153,f162]) ).
fof(f226,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl0_12 ),
inference(superposition,[],[f153,f151]) ).
fof(f228,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl0_6 ),
inference(superposition,[],[f153,f149]) ).
fof(f229,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f153,f117]) ).
fof(f231,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_11 ),
inference(superposition,[],[f153,f107]) ).
fof(f242,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f231,f102]) ).
fof(f244,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f229,f112]) ).
fof(f251,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f220,f221]) ).
fof(f257,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f244,f173]) ).
fof(f261,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f257,f177]) ).
fof(f262,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f265,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c9 != inverse(X2) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f71,f173]) ).
fof(f267,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f265,f173]) ).
fof(f268,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f267,f95,f90,f81,f70,f67]) ).
fof(f269,plain,
( sk_c8 = multiply(sk_c1,inverse(sk_c1))
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f133,f122]) ).
fof(f270,plain,
( sk_c5 = inverse(sk_c9)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f228,f251]) ).
fof(f271,plain,
( sk_c3 = inverse(sk_c9)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f226,f251]) ).
fof(f272,plain,
( sk_c7 = sk_c9
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f77,f242]) ).
fof(f274,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f117,f272]) ).
fof(f285,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c7)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f274,f271]) ).
fof(f292,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f285,f272]) ).
fof(f296,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f292,f3]) ).
fof(f299,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f153,f87]) ).
fof(f302,plain,
( sk_c7 = multiply(inverse(sk_c2),identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f299,f296]) ).
fof(f305,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f302,f251]) ).
fof(f306,plain,
( sk_c7 = inverse(inverse(sk_c1))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f305,f122]) ).
fof(f316,plain,
( sk_c7 = multiply(inverse(inverse(sk_c1)),sk_c8)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f299,f122]) ).
fof(f318,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f316,f221]) ).
fof(f321,plain,
( sk_c6 = multiply(sk_c5,multiply(sk_c7,sk_c8))
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f92,f77]) ).
fof(f336,plain,
( sk_c6 = multiply(inverse(sk_c9),multiply(sk_c7,sk_c8))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f321,f224]) ).
fof(f343,plain,
( sk_c6 = multiply(inverse(multiply(sk_c7,sk_c8)),multiply(sk_c7,sk_c8))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f336,f77]) ).
fof(f350,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f343,f3]) ).
fof(f367,plain,
( inverse(sk_c1) = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f153,f269]) ).
fof(f368,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(inverse(sk_c1),X0))
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f4,f269]) ).
fof(f373,plain,
( sk_c9 = inverse(inverse(sk_c9))
| ~ spl0_6 ),
inference(superposition,[],[f83,f270]) ).
fof(f374,plain,
( multiply(sk_c7,sk_c8) = inverse(inverse(multiply(sk_c7,sk_c8)))
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f373,f77]) ).
fof(f384,plain,
( ! [X0] :
( sk_c8 != multiply(X0,multiply(sk_c7,sk_c8))
| inverse(X0) != multiply(sk_c7,sk_c8) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f71,f77]) ).
fof(f473,definition,
( spl0_18
<=> sk_c8 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f474,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f475,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| spl0_18 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f572,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f153,f148]) ).
fof(f575,plain,
( ! [X0] :
( multiply(inverse(X0),X0) != sk_c8
| multiply(sk_c7,sk_c8) != inverse(inverse(multiply(sk_c7,sk_c8))) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f384,f148]) ).
fof(f576,plain,
( ! [X0] : multiply(inverse(X0),X0) != sk_c8
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f575,f374]) ).
fof(f579,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(forward_demodulation,[],[f572,f221]) ).
fof(f687,plain,
( multiply(sk_c1,inverse(sk_c1)) = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f368,f367]) ).
fof(f689,plain,
( sk_c8 = multiply(inverse(inverse(sk_c1)),inverse(sk_c1))
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f153,f367]) ).
fof(f692,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f689,f576]) ).
fof(f693,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f695,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f687,f269]) ).
fof(f698,plain,
( $false
| ~ spl0_14
| ~ spl0_15
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f695,f475]) ).
fof(f699,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f720,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f689,f3]) ).
fof(f725,plain,
( sk_c8 = multiply(multiply(inverse(sk_c7),identity),sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f107,f222]) ).
fof(f729,plain,
( sk_c8 = multiply(inverse(sk_c7),multiply(identity,sk_c7))
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f725,f4]) ).
fof(f730,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f729,f1]) ).
fof(f731,plain,
( identity = sk_c8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f730,f3]) ).
fof(f763,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f318,f720]) ).
fof(f779,plain,
( sk_c7 = sk_c1
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f763,f251]) ).
fof(f793,plain,
( sk_c8 = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f269,f779]) ).
fof(f798,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(inverse(sk_c7),X0))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f368,f779]) ).
fof(f801,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(inverse(sk_c7),X0))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f798,f720]) ).
fof(f806,plain,
( identity = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f793,f720]) ).
fof(f807,plain,
( ! [X0] : multiply(sk_c7,multiply(inverse(sk_c7),X0)) = X0
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f801,f1]) ).
fof(f825,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_18 ),
inference(superposition,[],[f153,f474]) ).
fof(f828,plain,
( identity = sk_c8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f825,f3]) ).
fof(f852,plain,
( sk_c8 != multiply(sk_c3,multiply(sk_c7,sk_c8))
| ~ spl0_5
| spl0_13 ),
inference(forward_demodulation,[],[f116,f77]) ).
fof(f853,plain,
( identity != multiply(sk_c3,multiply(sk_c7,identity))
| ~ spl0_5
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f852,f720]) ).
fof(f854,plain,
( identity != multiply(sk_c3,sk_c7)
| ~ spl0_5
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f853,f251]) ).
fof(f1455,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f153,f579]) ).
fof(f1460,plain,
( ! [X0] : multiply(inverse(X0),X0) = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f807,f579]) ).
fof(f1514,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| sk_c9 != inverse(inverse(sk_c9))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f71,f1460]) ).
fof(f1527,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1514,f1455]) ).
fof(f1540,plain,
( identity != sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1527,f806]) ).
fof(f1549,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1540,f720]) ).
fof(f1550,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1563,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f178,f350]) ).
fof(f1569,plain,
( sk_c5 = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f270,f77]) ).
fof(f1572,plain,
( sk_c7 = sk_c1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f306,f1455]) ).
fof(f1575,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f107,f731]) ).
fof(f1577,plain,
( sk_c3 = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f271,f77]) ).
fof(f1581,plain,
( sk_c8 != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_14
| spl0_15 ),
inference(forward_demodulation,[],[f132,f122]) ).
fof(f1591,plain,
( sk_c3 = inverse(sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1577,f257]) ).
fof(f1593,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(forward_demodulation,[],[f1581,f1572]) ).
fof(f1597,plain,
( identity != multiply(sk_c7,inverse(sk_c7))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(forward_demodulation,[],[f1593,f731]) ).
fof(f1638,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f102]) ).
fof(f1718,plain,
( identity != sk_c8
| sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f68,f1575]) ).
fof(f1719,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f68,f87]) ).
fof(f1720,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1719]) ).
fof(f1723,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1718,f731]) ).
fof(f1727,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1723,f102]) ).
fof(f1728,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1727]) ).
fof(f1761,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_10 ),
inference(superposition,[],[f153,f1638]) ).
fof(f1764,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1761,f251]) ).
fof(f1777,plain,
( identity = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_10 ),
inference(superposition,[],[f1638,f1764]) ).
fof(f1780,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1777,f1597]) ).
fof(f1781,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1796,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f180,f1591]) ).
fof(f1803,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1796,f3]) ).
fof(f1824,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f153,f181]) ).
fof(f1827,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1824,f251]) ).
fof(f1848,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f153,f182]) ).
fof(f1851,plain,
( sk_c3 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1848,f251]) ).
fof(f1874,plain,
( ! [X4,X5] :
( sk_c7 != multiply(multiply(sk_c7,sk_c8),X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f65,f77]) ).
fof(f1898,plain,
( ! [X4,X5] :
( sk_c7 != multiply(sk_c7,multiply(sk_c8,X4))
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1874,f4]) ).
fof(f1914,plain,
( ! [X4,X5] :
( sk_c7 != multiply(sk_c7,multiply(identity,X4))
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1898,f731]) ).
fof(f1924,plain,
( ! [X4,X5] :
( sk_c7 != multiply(sk_c7,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1914,f1]) ).
fof(f1926,plain,
( ! [X4,X5] :
( multiply(sk_c7,sk_c8) != inverse(X5)
| sk_c7 != multiply(sk_c7,X4)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1924,f77]) ).
fof(f1927,plain,
( ! [X4,X5] :
( inverse(X5) != multiply(sk_c7,identity)
| sk_c7 != multiply(sk_c7,X4)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1926,f731]) ).
fof(f1928,plain,
( ! [X4,X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,X4)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1927,f251]) ).
fof(f1929,plain,
( ! [X4,X5] :
( multiply(X5,multiply(sk_c7,sk_c8)) != X4
| sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,X4) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1928,f77]) ).
fof(f1930,plain,
( ! [X4,X5] :
( multiply(X5,multiply(sk_c7,identity)) != X4
| sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,X4) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1929,f731]) ).
fof(f1931,plain,
( ! [X4,X5] :
( multiply(X5,sk_c7) != X4
| sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,X4) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1930,f251]) ).
fof(f1965,plain,
( ! [X0] :
( identity != X0
| sk_c7 != inverse(sk_c4)
| sk_c7 != multiply(sk_c7,X0) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1931,f1575]) ).
fof(f1967,plain,
( ! [X0] :
( sk_c7 != multiply(sk_c7,X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1965,f102]) ).
fof(f1973,plain,
( identity != multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f854,f1851]) ).
fof(f1975,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1973,f3]) ).
fof(f1976,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1975]) ).
fof(f1994,plain,
( ! [X0] :
( sk_c7 != sk_c7
| identity != multiply(inverse(X0),X0) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1967,f579]) ).
fof(f1995,plain,
( ! [X0] : identity != multiply(inverse(X0),X0)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1994]) ).
fof(f1998,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1995,f3]) ).
fof(f1999,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1998]) ).
fof(f2082,plain,
( ! [X0] :
( identity != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| inverse(inverse(X0)) != X0 )
| ~ spl0_4 ),
inference(superposition,[],[f74,f3]) ).
fof(f2087,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c5,sk_c7)
| sk_c5 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f74,f181]) ).
fof(f2100,plain,
( sk_c8 != multiply(sk_c5,sk_c7)
| sk_c5 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2087,f1803]) ).
fof(f2116,plain,
( sk_c8 != multiply(sk_c5,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2100,f1827]) ).
fof(f2131,plain,
( identity != sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2116,f1563]) ).
fof(f2147,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2131,f1803]) ).
fof(f2148,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2147]) ).
fof(f2185,plain,
( sk_c5 = inverse(multiply(sk_c7,identity))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1569,f828]) ).
fof(f2201,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(inverse(X0)) != X0 )
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2082,f828]) ).
fof(f2218,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2185,f251]) ).
fof(f2225,plain,
( ! [X0] : sk_c8 != multiply(X0,sk_c7)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2201,f1455]) ).
fof(f2247,plain,
( ! [X0] : identity != multiply(X0,sk_c7)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2225,f828]) ).
fof(f2294,plain,
( sk_c7 != inverse(inverse(sk_c1))
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1720,f122]) ).
fof(f2300,plain,
( sk_c7 != sk_c1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2294,f1455]) ).
fof(f2303,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2300,f779]) ).
fof(f2304,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f2303]) ).
fof(f2305,plain,
( ! [X4,X5] :
( sk_c7 != multiply(multiply(sk_c7,sk_c8),X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f65,f77]) ).
fof(f2306,plain,
( ! [X4,X5] :
( sk_c7 != multiply(sk_c7,multiply(sk_c8,X4))
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f2305,f4]) ).
fof(f2307,plain,
( ! [X4,X5] :
( sk_c7 != multiply(sk_c7,multiply(identity,X4))
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2306,f828]) ).
fof(f2308,plain,
( ! [X4,X5] :
( sk_c7 != multiply(sk_c7,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2307,f1]) ).
fof(f2309,plain,
( ! [X4,X5] :
( multiply(sk_c7,sk_c8) != inverse(X5)
| sk_c7 != multiply(sk_c7,X4)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2308,f77]) ).
fof(f2310,plain,
( ! [X4,X5] :
( inverse(X5) != multiply(sk_c7,identity)
| sk_c7 != multiply(sk_c7,X4)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2309,f828]) ).
fof(f2311,plain,
( ! [X4,X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,X4)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2310,f251]) ).
fof(f2312,plain,
( ! [X4,X5] :
( multiply(X5,multiply(sk_c7,sk_c8)) != X4
| sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,X4) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2311,f77]) ).
fof(f2313,plain,
( ! [X4,X5] :
( multiply(X5,multiply(sk_c7,identity)) != X4
| sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,X4) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2312,f828]) ).
fof(f2314,plain,
( ! [X4,X5] :
( multiply(X5,sk_c7) != X4
| sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c7,X4) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2313,f251]) ).
fof(f2333,plain,
( ! [X0] :
( identity != X0
| sk_c7 != inverse(inverse(sk_c7))
| sk_c7 != multiply(sk_c7,X0) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f2314,f3]) ).
fof(f2337,plain,
( ! [X0] :
( sk_c7 != multiply(sk_c7,X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2333,f1455]) ).
fof(f2351,plain,
( ! [X0] :
( sk_c7 != sk_c7
| identity != multiply(inverse(X0),X0) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f2337,f579]) ).
fof(f2352,plain,
( ! [X0] : identity != multiply(inverse(X0),X0)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f2351]) ).
fof(f2355,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2352,f3]) ).
fof(f2356,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2355]) ).
fof(f2368,plain,
( sk_c6 != multiply(sk_c5,multiply(sk_c7,sk_c8))
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f91,f77]) ).
fof(f2369,plain,
( sk_c7 = multiply(multiply(sk_c7,sk_c8),sk_c6)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f97,f77]) ).
fof(f2379,plain,
( sk_c6 != multiply(sk_c5,multiply(sk_c7,identity))
| ~ spl0_5
| spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2368,f828]) ).
fof(f2380,plain,
( sk_c7 = multiply(sk_c7,multiply(sk_c8,sk_c6))
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2369,f4]) ).
fof(f2386,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| ~ spl0_5
| spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2379,f251]) ).
fof(f2387,plain,
( sk_c7 = multiply(sk_c7,multiply(identity,sk_c6))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2380,f828]) ).
fof(f2389,plain,
( sk_c6 != multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2386,f2218]) ).
fof(f2390,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2387,f1]) ).
fof(f2391,plain,
( identity != sk_c6
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2389,f3]) ).
fof(f2392,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18 ),
inference(superposition,[],[f153,f2390]) ).
fof(f2394,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2392,f3]) ).
fof(f2395,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2394,f2391]) ).
fof(f2396,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
fof(f2406,plain,
( ! [X0] : identity != multiply(inverse(X0),X0)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f2247,f148]) ).
fof(f2414,plain,
( $false
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2406,f3]) ).
fof(f2415,plain,
( ~ spl0_4
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2414]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f79]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f88]) ).
cnf(s5,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f103]) ).
cnf(s6,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f123]) ).
cnf(s10,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f124]) ).
cnf(s11,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f125]) ).
cnf(s12,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f126]) ).
cnf(s13,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f127]) ).
cnf(s14,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s15,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s16,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f134]) ).
cnf(s17,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f135]) ).
cnf(s18,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f136]) ).
cnf(s19,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f137]) ).
cnf(s20,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f138]) ).
cnf(s21,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f139]) ).
cnf(s22,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f140]) ).
cnf(s23,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f141]) ).
cnf(s24,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f142]) ).
cnf(s25,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f143]) ).
cnf(s28,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f146]) ).
cnf(s29,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f147]) ).
cnf(s31,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f262]) ).
cnf(s32,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f268]) ).
cnf(s39,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f693]) ).
cnf(s40,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f699]) ).
cnf(s51,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f1550]) ).
cnf(s54,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1728]) ).
cnf(s57,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f1781]) ).
cnf(s64,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f1976]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f2148]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f2304]) ).
cnf(s75,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_18 ),
inference(sat_conversion,[],[f2356]) ).
cnf(s76,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f2396]) ).
cnf(s79,plain,
( ~ spl0_4
| ~ spl0_18 ),
inference(sat_conversion,[],[f2415]) ).
cnf(s80,plain,
spl0_5,
inference(rat,[],[s31,s23,s24,s25,s28,s29]) ).
cnf(s82,plain,
( ~ spl0_12
| ~ spl0_9
| ~ spl0_8
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s64,s15,s22,s67,s80]) ).
cnf(s83,plain,
( spl0_12
| spl0_18 ),
inference(rat,[],[s40,s14,s21]) ).
cnf(s84,plain,
( spl0_9
| spl0_18 ),
inference(rat,[],[s40,s11,s18]) ).
cnf(s85,plain,
( spl0_8
| spl0_18 ),
inference(rat,[],[s40,s10,s17]) ).
cnf(s86,plain,
~ spl0_4,
inference(rat,[],[s40,s9,s16,s82,s85,s84,s83,s79]) ).
cnf(s87,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s39,s11,s18,s80]) ).
cnf(s88,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s85,s76,s80]) ).
cnf(s89,plain,
( ~ spl0_9
| ~ spl0_6
| spl0_2
| ~ spl0_3 ),
inference(rat,[],[s88,s32]) ).
cnf(s90,plain,
( ~ spl0_6
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s89,s87]) ).
cnf(s91,plain,
( ~ spl0_3
| spl0_2 ),
inference(rat,[],[s51,s2,s9,s16,s90]) ).
cnf(s92,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s91,s1,s80,s86]) ).
cnf(s93,plain,
( spl0_7
| ~ spl0_2 ),
inference(rat,[],[s54,s5,s6]) ).
cnf(s94,plain,
( ~ spl0_14
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s57,s19,s20,s21,s22,s73,s80]) ).
cnf(s95,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s54,s12,s13,s94]) ).
cnf(s96,plain,
~ spl0_2,
inference(rat,[],[s95,s93]) ).
cnf(s97,plain,
spl0_1,
inference(rat,[],[s92,s96]) ).
cnf(s99,plain,
~ spl0_18,
inference(rat,[],[s75,s80,s97]) ).
cnf(s103,plain,
spl0_15,
inference(rat,[],[s66,s19,s20,s80,s97]) ).
cnf(s104,plain,
~ spl0_14,
inference(rat,[],[s40,s99,s103]) ).
cnf(s106,plain,
spl0_11,
inference(rat,[],[s13,s104]) ).
cnf(s107,plain,
spl0_10,
inference(rat,[],[s12,s104]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s66,s97,s80,s106,s107]) ).
fof(f2416,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP370-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n001.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 10:02:46 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 0.17/0.50 % (3317879)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (3317889)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=283575421:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (3317885)% WARNING: option uhcvi not known.
% 0.17/0.50 % (3317886)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1385746729:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (3317884)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3169409715_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (3317885)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1934656621:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (3317887)dis+10_1_sil=32000:sp=arity:random_seed=1620098660:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (3317888)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3591586278:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (3317890)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3077355764:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % TRYING [1]
% 0.17/0.50 % TRYING [2]
% 0.17/0.50 % TRYING [3]
% 0.17/0.50 % TRYING [4]
% 0.17/0.50 % (3317889) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3317879-3317889"...
% 0.17/0.50 % (3317889)...printing done.
% 0.17/0.50 % (3317889)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (3317889)------------------------------
% 0.17/0.51 % (3317889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.51 % (3317889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.51 % (3317889)CaDiCaL version: 2.1.3
% 0.17/0.51 % (3317889)Termination reason: Refutation
% 0.17/0.51 % (3317889)Time elapsed: 0.024 s
% 0.17/0.51 % (3317889)Peak memory usage: 13 MB
% 0.17/0.51 % (3317889)Instructions burned: 76 (million)
% 0.17/0.51 % (3317879)Success in time 0.05 s
% 0.17/0.51 % Vampire exiting
%------------------------------------------------------------------------------