%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP314-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 10:17:28 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 39
% Syntax : Number of formulae : 351 ( 25 unt; 17 def)
% Number of atoms : 1384 ( 351 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 2081 (1048 ~;1016 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 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/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c7,sk_c8) = sk_c6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f36,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c7 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X4) != sk_c7
| multiply(X4,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ),
inference(reorient_equations,[],[f54]) ).
fof(f57,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_3
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f67,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,definition,
( spl0_5
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f70,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_6
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f73,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f72,f69,f66,f63,f60,f57]) ).
fof(f77,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f82,plain,
( sk_c7 != inverse(sk_c3)
| spl0_8 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f53,f81,f77]) ).
fof(f86,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f88,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f51,f81,f86]) ).
fof(f91,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f93,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f49,f81,f91]) ).
fof(f96,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f98,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f47,f81,f96]) ).
fof(f101,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f103,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f45,f101,f77]) ).
fof(f105,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f43,f101,f86]) ).
fof(f106,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f41,f101,f91]) ).
fof(f107,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f39,f101,f96]) ).
fof(f109,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f111,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f37,f109,f77]) ).
fof(f125,definition,
( spl0_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f127,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f21,f125,f77]) ).
fof(f129,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f19,f125,f86]) ).
fof(f130,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f17,f125,f91]) ).
fof(f131,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f15,f125,f96]) ).
fof(f133,definition,
( spl0_16
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f134,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| spl0_16 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f13,f133,f77]) ).
fof(f137,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f11,f133,f86]) ).
fof(f138,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f9,f133,f91]) ).
fof(f139,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f7,f133,f96]) ).
fof(f140,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f72]) ).
fof(f141,plain,
( sk_c7 = multiply(sk_c5,multiply(sk_c7,sk_c8))
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f79,f73]) ).
fof(f143,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f61,f98]) ).
fof(f144,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f143]) ).
fof(f145,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f144,f93]) ).
fof(f146,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f145]) ).
fof(f148,definition,
( spl0_17
<=> sk_c8 = multiply(sk_c5,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f149,plain,
( sk_c8 = multiply(sk_c5,sk_c7)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( sk_c8 != multiply(sk_c5,sk_c7)
| spl0_17 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f152,definition,
( spl0_18
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f153,plain,
( sk_c7 = sk_c8
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f154,plain,
( sk_c7 != sk_c8
| spl0_18 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f157,plain,
( sk_c7 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f61,f83]) ).
fof(f162,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f127]) ).
fof(f163,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f98]) ).
fof(f164,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f3,f88]) ).
fof(f165,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_13 ),
inference(superposition,[],[f3,f111]) ).
fof(f166,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f3,f83]) ).
fof(f167,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f168,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f167,f4]) ).
fof(f181,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f162]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f181,f1]) ).
fof(f196,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f182,f135]) ).
fof(f244,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f168,f1]) ).
fof(f246,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f168,f3]) ).
fof(f247,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f168,f168]) ).
fof(f249,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f168,f164]) ).
fof(f251,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_8 ),
inference(superposition,[],[f168,f166]) ).
fof(f254,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f168,f196]) ).
fof(f256,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f168,f163]) ).
fof(f259,plain,
( multiply(sk_c7,sk_c8) = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f168,f141]) ).
fof(f263,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f168,f103]) ).
fof(f268,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f263,f83]) ).
fof(f272,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f259,f88]) ).
fof(f275,plain,
( identity = sk_c7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f254,f3]) ).
fof(f279,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f246,f247]) ).
fof(f287,plain,
( sk_c8 = multiply(sk_c3,identity)
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f103,f275]) ).
fof(f288,plain,
( identity = multiply(sk_c5,multiply(identity,sk_c8))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f141,f275]) ).
fof(f291,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f164,f275]) ).
fof(f292,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f165,f275]) ).
fof(f293,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f166,f275]) ).
fof(f302,plain,
( identity = sk_c3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f303,plain,
( identity = sk_c2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f292,f1]) ).
fof(f304,plain,
( identity = sk_c5
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f291,f1]) ).
fof(f307,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f288,f1]) ).
fof(f308,plain,
( sk_c8 = sk_c3
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f287,f279]) ).
fof(f315,plain,
( identity = multiply(multiply(inverse(sk_c7),identity),sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f307,f249]) ).
fof(f316,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f308,f251]) ).
fof(f323,plain,
( identity = multiply(inverse(sk_c7),multiply(identity,sk_c8))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f315,f4]) ).
fof(f324,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f316,f279]) ).
fof(f331,plain,
( identity = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f323,f1]) ).
fof(f332,plain,
( sk_c8 = inverse(identity)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f324,f275]) ).
fof(f338,plain,
( identity = multiply(inverse(identity),sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f331,f275]) ).
fof(f342,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f338,f244]) ).
fof(f419,plain,
( sk_c7 = inverse(identity)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f83,f302]) ).
fof(f420,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f419,f275]) ).
fof(f431,plain,
( sk_c7 != sk_c8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f157,f103]) ).
fof(f436,plain,
( sk_c7 != inverse(identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f431,f332]) ).
fof(f440,plain,
( identity != sk_c7
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f436,f420]) ).
fof(f443,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f440,f275]) ).
fof(f444,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f454,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f58,f275]) ).
fof(f456,plain,
( ! [X4] :
( sk_c7 != multiply(X4,multiply(sk_c7,sk_c8))
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f454,f73]) ).
fof(f458,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f456,f268]) ).
fof(f460,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f458,f275]) ).
fof(f462,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f460,f279]) ).
fof(f469,plain,
( identity != sk_c7
| identity != sk_c3
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f462,f83]) ).
fof(f470,plain,
( identity != sk_c3
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f469,f275]) ).
fof(f475,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f470,f302]) ).
fof(f476,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f493,plain,
( ! [X0] :
( sk_c7 != multiply(X0,inverse(identity))
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f70,f332]) ).
fof(f494,plain,
( ! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f493,f420]) ).
fof(f495,plain,
( ! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f494,f279]) ).
fof(f496,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f495,f275]) ).
fof(f497,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != X0 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f496,f332]) ).
fof(f498,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f497,f420]) ).
fof(f511,plain,
( identity != sk_c7
| identity != sk_c2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f498,f111]) ).
fof(f512,plain,
( identity != sk_c7
| identity != sk_c3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f498,f83]) ).
fof(f513,plain,
( identity != sk_c3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f512,f275]) ).
fof(f514,plain,
( identity != sk_c2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f511,f275]) ).
fof(f518,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f513,f302]) ).
fof(f519,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f520,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f514,f303]) ).
fof(f521,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f536,plain,
( ! [X1] :
( sk_c6 != multiply(X1,identity)
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f67,f275]) ).
fof(f537,plain,
( ! [X1] :
( sk_c6 != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f536,f279]) ).
fof(f538,plain,
( ! [X1] :
( multiply(sk_c7,sk_c8) != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f537,f73]) ).
fof(f539,plain,
( ! [X1] :
( sk_c7 != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f538,f268]) ).
fof(f540,plain,
( ! [X1] :
( identity != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f539,f275]) ).
fof(f541,plain,
( ! [X1] :
( identity != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f540,f275]) ).
fof(f545,plain,
( sk_c7 = inverse(identity)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f88,f304]) ).
fof(f555,plain,
( identity != sk_c7
| identity != sk_c3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f541,f83]) ).
fof(f556,plain,
( identity != sk_c3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f555,f275]) ).
fof(f561,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f556,f302]) ).
fof(f562,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f579,plain,
( ! [X2] :
( sk_c8 != multiply(X2,identity)
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f64,f275]) ).
fof(f580,plain,
( ! [X2] :
( sk_c8 != X2
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f579,f279]) ).
fof(f581,plain,
( ! [X2] :
( inverse(identity) != X2
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f580,f332]) ).
fof(f582,plain,
( ! [X2] :
( identity != X2
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f581,f420]) ).
fof(f583,plain,
( ! [X2] :
( identity != inverse(X2)
| identity != X2 )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f582,f275]) ).
fof(f631,plain,
( identity != sk_c7
| identity != sk_c3
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f583,f83]) ).
fof(f632,plain,
( identity != sk_c3
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f631,f275]) ).
fof(f637,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f632,f302]) ).
fof(f638,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f647,plain,
( identity != inverse(sk_c3)
| spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f82,f275]) ).
fof(f656,plain,
( identity = sk_c3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f308,f342]) ).
fof(f668,plain,
( identity = inverse(identity)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f545,f275]) ).
fof(f702,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f647,f656]) ).
fof(f729,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f702,f668]) ).
fof(f730,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f752,plain,
( sk_c8 = multiply(multiply(inverse(sk_c8),identity),sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f93,f256]) ).
fof(f754,plain,
( sk_c8 != multiply(multiply(inverse(sk_c7),identity),sk_c7)
| ~ spl0_9
| spl0_17 ),
inference(forward_demodulation,[],[f150,f249]) ).
fof(f757,plain,
( sk_c8 = multiply(inverse(sk_c8),multiply(identity,sk_c7))
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f752,f4]) ).
fof(f759,plain,
( sk_c8 != multiply(inverse(sk_c7),multiply(identity,sk_c7))
| ~ spl0_9
| spl0_17 ),
inference(forward_demodulation,[],[f754,f4]) ).
fof(f762,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f757,f1]) ).
fof(f763,plain,
( sk_c8 != multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| spl0_17 ),
inference(forward_demodulation,[],[f759,f1]) ).
fof(f766,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f762,f153]) ).
fof(f767,plain,
( identity != sk_c8
| ~ spl0_9
| spl0_17 ),
inference(forward_demodulation,[],[f763,f3]) ).
fof(f769,plain,
( identity = sk_c7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f766,f3]) ).
fof(f770,plain,
( identity != sk_c7
| ~ spl0_9
| spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f767,f153]) ).
fof(f772,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f770,f769]) ).
fof(f773,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f780,plain,
( sk_c8 = multiply(multiply(inverse(sk_c7),identity),sk_c7)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f149,f249]) ).
fof(f781,plain,
( sk_c8 = multiply(inverse(sk_c7),multiply(identity,sk_c7))
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f780,f4]) ).
fof(f782,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f781,f1]) ).
fof(f783,plain,
( identity = sk_c8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f782,f3]) ).
fof(f812,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f163,f153]) ).
fof(f818,plain,
( identity = multiply(sk_c7,multiply(inverse(sk_c8),identity))
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f812,f256]) ).
fof(f822,plain,
( identity = multiply(sk_c7,inverse(sk_c8))
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f818,f279]) ).
fof(f826,plain,
( identity = multiply(sk_c7,inverse(sk_c7))
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f822,f153]) ).
fof(f830,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f826,f769]) ).
fof(f833,plain,
( identity = inverse(identity)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f830,f1]) ).
fof(f874,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f163,f783]) ).
fof(f881,plain,
( identity = sk_c4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f874,f1]) ).
fof(f918,plain,
( identity = multiply(inverse(identity),sk_c7)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f762,f783]) ).
fof(f927,plain,
( identity = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f918,f244]) ).
fof(f958,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f70,f153]) ).
fof(f959,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f958,f769]) ).
fof(f960,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f959,f279]) ).
fof(f961,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| identity != X0 )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f960,f153]) ).
fof(f962,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f961,f769]) ).
fof(f978,plain,
( sk_c7 = multiply(multiply(inverse(sk_c7),identity),multiply(sk_c7,sk_c8))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f141,f249]) ).
fof(f981,plain,
( sk_c7 = multiply(inverse(sk_c7),multiply(identity,multiply(sk_c7,sk_c8)))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f978,f4]) ).
fof(f987,plain,
( sk_c7 = multiply(inverse(sk_c7),multiply(sk_c7,sk_c8))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f981,f1]) ).
fof(f993,plain,
( sk_c7 = sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f987,f168]) ).
fof(f997,plain,
( identity != identity
| identity != identity
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f962,f833]) ).
fof(f1000,plain,
( identity != identity
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f997]) ).
fof(f1001,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1000]) ).
fof(f1002,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1009,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f58,f769]) ).
fof(f1011,plain,
( ! [X4] :
( sk_c7 != multiply(X4,multiply(sk_c7,sk_c8))
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1009,f73]) ).
fof(f1013,plain,
( ! [X4] :
( sk_c7 != multiply(X4,multiply(sk_c7,sk_c7))
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1011,f272]) ).
fof(f1015,plain,
( ! [X4] :
( identity != multiply(X4,multiply(identity,identity))
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1013,f769]) ).
fof(f1017,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1015,f1]) ).
fof(f1019,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1017,f279]) ).
fof(f1097,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f134,f153]) ).
fof(f1101,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f127,f153]) ).
fof(f1107,plain,
( identity != multiply(sk_c1,identity)
| ~ spl0_10
| ~ spl0_11
| spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1097,f769]) ).
fof(f1111,plain,
( identity = inverse(sk_c1)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1101,f769]) ).
fof(f1117,plain,
( identity != sk_c1
| ~ spl0_10
| ~ spl0_11
| spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1107,f279]) ).
fof(f1147,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f3,f1111]) ).
fof(f1148,plain,
( identity = sk_c1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1147,f1]) ).
fof(f1152,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1148,f1117]) ).
fof(f1153,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1161,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f993,f783]) ).
fof(f1163,plain,
( ! [X1] :
( sk_c6 != multiply(X1,identity)
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f67,f927]) ).
fof(f1178,plain,
( ! [X1] :
( sk_c6 != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1163,f279]) ).
fof(f1187,plain,
( ! [X1] :
( multiply(sk_c7,sk_c8) != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1178,f73]) ).
fof(f1193,plain,
( ! [X1] :
( multiply(sk_c7,sk_c7) != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1187,f272]) ).
fof(f1197,plain,
( ! [X1] :
( multiply(identity,identity) != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1193,f927]) ).
fof(f1200,plain,
( ! [X1] :
( identity != X1
| sk_c7 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1197,f1]) ).
fof(f1202,plain,
( ! [X1] :
( identity != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1200,f927]) ).
fof(f1206,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f993,f154]) ).
fof(f1207,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1301,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f1202,f98]) ).
fof(f1304,plain,
( identity != sk_c4
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1301,f783]) ).
fof(f1307,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1304,f881]) ).
fof(f1308,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1337,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f1019,f98]) ).
fof(f1340,plain,
( identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1337,f783]) ).
fof(f1343,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1340,f881]) ).
fof(f1344,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1345,plain,
( ! [X2] :
( sk_c8 != multiply(X2,identity)
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f64,f1161]) ).
fof(f1346,plain,
( ! [X2] :
( sk_c8 != X2
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1345,f279]) ).
fof(f1347,plain,
( ! [X2] :
( identity != X2
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1346,f783]) ).
fof(f1348,plain,
( ! [X2] :
( identity != inverse(X2)
| identity != X2 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1347,f1161]) ).
fof(f1367,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f1348,f98]) ).
fof(f1370,plain,
( identity != sk_c4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1367,f783]) ).
fof(f1373,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1370,f881]) ).
fof(f1374,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f75]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f84]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f89]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f94]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f99]) ).
cnf(s6,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f104]) ).
cnf(s7,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f105]) ).
cnf(s8,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f106]) ).
cnf(s9,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s10,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f112]) ).
cnf(s18,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f128]) ).
cnf(s19,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f129]) ).
cnf(s20,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f130]) ).
cnf(s21,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f131]) ).
cnf(s22,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f136]) ).
cnf(s23,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f137]) ).
cnf(s24,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f138]) ).
cnf(s25,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f139]) ).
cnf(s26,plain,
spl0_6,
inference(sat_conversion,[],[f140]) ).
cnf(s27,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f146]) ).
cnf(s30,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f444]) ).
cnf(s33,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f476]) ).
cnf(s38,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f519]) ).
cnf(s39,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f521]) ).
cnf(s43,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f562]) ).
cnf(s48,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f638]) ).
cnf(s56,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f730]) ).
cnf(s60,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f773]) ).
cnf(s66,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s75,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s77,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s79,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f1308]) ).
cnf(s81,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s83,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f1374]) ).
cnf(s84,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1,s26]) ).
cnf(s85,plain,
( spl0_7
| ~ spl0_5 ),
inference(rat,[],[s39,s2,s6,s10,s18,s22]) ).
cnf(s86,plain,
( spl0_16
| ~ spl0_5 ),
inference(rat,[],[s77,s66,s23,s24,s25,s85,s26]) ).
cnf(s87,plain,
( spl0_15
| ~ spl0_5 ),
inference(rat,[],[s77,s66,s19,s20,s21,s85,s26]) ).
cnf(s88,plain,
( spl0_12
| ~ spl0_5 ),
inference(rat,[],[s77,s66,s7,s8,s9,s85,s26]) ).
cnf(s89,plain,
( spl0_8
| ~ spl0_16
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15 ),
inference(rat,[],[s3,s56,s26]) ).
cnf(s90,plain,
~ spl0_5,
inference(rat,[],[s89,s38,s88,s87,s86,s85]) ).
cnf(s91,plain,
( ~ spl0_15
| ~ spl0_12
| ~ spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s77,s75,s23,s24,s25,s43,s26]) ).
cnf(s92,plain,
( spl0_15
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s79,s60,s77,s19,s20,s21,s26]) ).
cnf(s93,plain,
( spl0_12
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s79,s60,s77,s7,s8,s9,s26]) ).
cnf(s94,plain,
( spl0_8
| ~ spl0_15
| ~ spl0_7
| ~ spl0_12 ),
inference(rat,[],[s77,s75,s3,s4,s5,s89,s26]) ).
cnf(s95,plain,
( ~ spl0_12
| ~ spl0_15
| ~ spl0_4
| ~ spl0_7 ),
inference(rat,[],[s94,s91]) ).
cnf(s96,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s95,s93,s92]) ).
cnf(s97,plain,
~ spl0_4,
inference(rat,[],[s43,s2,s6,s18,s22,s96,s26]) ).
cnf(s98,plain,
( ~ spl0_15
| ~ spl0_12
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s77,s75,s23,s24,s25,s48,s94,s26]) ).
cnf(s99,plain,
( spl0_15
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s83,s60,s77,s19,s20,s21,s26]) ).
cnf(s100,plain,
( ~ spl0_15
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s83,s60,s77,s7,s8,s9,s98,s26]) ).
cnf(s101,plain,
( ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s100,s99]) ).
cnf(s102,plain,
~ spl0_3,
inference(rat,[],[s48,s2,s6,s18,s22,s101]) ).
cnf(s103,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s27,s24,s25]) ).
cnf(s104,plain,
( ~ spl0_12
| ~ spl0_15
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s30,s94,s103]) ).
cnf(s105,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s27,s8,s9]) ).
cnf(s106,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s27,s20,s21]) ).
cnf(s107,plain,
~ spl0_2,
inference(rat,[],[s2,s30,s104,s106,s105,s103]) ).
cnf(s108,plain,
spl0_1,
inference(rat,[],[s84,s90,s97,s102,s107]) ).
cnf(s109,plain,
( spl0_16
| ~ spl0_15
| ~ spl0_7 ),
inference(rat,[],[s77,s75,s23,s24,s25,s26]) ).
cnf(s110,plain,
( ~ spl0_12
| ~ spl0_15
| ~ spl0_7 ),
inference(rat,[],[s33,s94,s109,s26,s108]) ).
cnf(s111,plain,
( spl0_12
| ~ spl0_7 ),
inference(rat,[],[s81,s60,s77,s7,s8,s9,s26,s108]) ).
cnf(s112,plain,
( ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s81,s60,s77,s19,s20,s21,s110,s108,s26]) ).
cnf(s113,plain,
~ spl0_7,
inference(rat,[],[s112,s111]) ).
cnf(s114,plain,
spl0_16,
inference(rat,[],[s22,s113]) ).
cnf(s115,plain,
spl0_15,
inference(rat,[],[s18,s113]) ).
cnf(s118,plain,
spl0_12,
inference(rat,[],[s6,s113]) ).
cnf(s119,plain,
spl0_8,
inference(rat,[],[s2,s113]) ).
cnf(s120,plain,
$false,
inference(rat,[],[s33,s118,s115,s108,s26,s114,s119]) ).
fof(f1375,plain,
$false,
inference(avatar_sat_refutation,[],[s120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP314-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:49:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 % (2744259)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (2744269)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3307325145:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % (2744265)% WARNING: option uhcvi not known.
% 0.17/0.46 % (2744268)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=374185752:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (2744267)dis+10_1_sil=32000:sp=arity:random_seed=496277091:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (2744264)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=581422013_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (2744266)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3641268278:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (2744265)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=978368367:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (2744270)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=627231715:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % TRYING [1]
% 0.17/0.46 % TRYING [2]
% 0.17/0.46 % (2744269) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2744259-2744269"...
% 0.17/0.46 % TRYING [3]
% 0.17/0.46 % (2744269)...printing done.
% 0.17/0.46 % TRYING [4]
% 0.17/0.46 % (2744269)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (2744269)------------------------------
% 0.17/0.46 % (2744269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (2744269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (2744269)CaDiCaL version: 2.1.3
% 0.17/0.46 % (2744269)Termination reason: Refutation
% 0.17/0.46 % (2744269)Time elapsed: 0.013 s
% 0.17/0.46 % (2744269)Peak memory usage: 12 MB
% 0.17/0.46 % (2744269)Instructions burned: 36 (million)
% 0.17/0.46 % (2744259)Success in time 0.045 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------