%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP291-1 : 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 : n016.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 10:17:24 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 44
% Syntax : Number of formulae : 291 ( 25 unt; 17 def)
% Number of atoms : 917 ( 252 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1193 ( 567 ~; 609 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 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_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c5 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c5 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c5 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X1,sk_c5) != sk_c7
| inverse(X1) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| inverse(X3) != sk_c6
| multiply(X3,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ),
inference(reorient_equations,[],[f55]) ).
fof(f58,definition,
( spl0_1
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f59,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c6 != inverse(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f62,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,definition,
( spl0_3
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f65,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f69,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c5)
| sk_c5 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl0_5
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_6
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f56,f74,f71,f68,f64,f61,f58]) ).
fof(f79,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl0_8
<=> sk_c5 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f85,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f54,f83,f79]) ).
fof(f88,definition,
( spl0_9
<=> sk_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f90,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f52,f83,f88]) ).
fof(f93,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f50,f83,f93]) ).
fof(f98,definition,
( spl0_11
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f48,f83,f98]) ).
fof(f102,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f46,f83,f64]) ).
fof(f104,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = multiply(sk_c2,sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f104,f79]) ).
fof(f108,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f104,f88]) ).
fof(f109,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f104,f93]) ).
fof(f110,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f104,f98]) ).
fof(f111,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f104,f64]) ).
fof(f113,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f115,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f113,f79]) ).
fof(f117,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f113,f88]) ).
fof(f118,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f113,f93]) ).
fof(f119,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f113,f98]) ).
fof(f120,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f113,f64]) ).
fof(f122,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f124,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f24,f122,f79]) ).
fof(f126,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f122,f88]) ).
fof(f127,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f122,f93]) ).
fof(f128,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f122,f98]) ).
fof(f129,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f122,f64]) ).
fof(f132,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f74,f93]) ).
fof(f133,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f74,f98]) ).
fof(f134,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f74,f64]) ).
fof(f135,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_9 ),
inference(superposition,[],[f3,f90]) ).
fof(f136,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f100]) ).
fof(f139,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f140,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_3 ),
inference(superposition,[],[f4,f65]) ).
fof(f141,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f135]) ).
fof(f142,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f95]) ).
fof(f144,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f141,f1]) ).
fof(f145,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f139,f1]) ).
fof(f148,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f136]) ).
fof(f149,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f154,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f144,f81]) ).
fof(f157,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f142,f65]) ).
fof(f171,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f149,f95]) ).
fof(f180,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f145,f3]) ).
fof(f181,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f145,f145]) ).
fof(f182,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_11 ),
inference(superposition,[],[f145,f136]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_11 ),
inference(superposition,[],[f145,f149]) ).
fof(f186,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_3 ),
inference(superposition,[],[f145,f65]) ).
fof(f200,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f182,f183]) ).
fof(f201,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f180,f181]) ).
fof(f209,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f140,f171]) ).
fof(f213,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f209,f154]) ).
fof(f219,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f145,f213]) ).
fof(f221,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f219,f3]) ).
fof(f231,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f200,f221]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f1,f221]) ).
fof(f235,plain,
( sk_c5 = multiply(inverse(sk_c3),multiply(sk_c7,sk_c7))
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f145,f157]) ).
fof(f238,plain,
( sk_c5 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f235,f171]) ).
fof(f240,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f238,f100]) ).
fof(f241,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f240,f76]) ).
fof(f242,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f243,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f75,f232]) ).
fof(f248,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f157,f243]) ).
fof(f252,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f248,f171]) ).
fof(f254,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f252,f95]) ).
fof(f260,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| sk_c5 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f69,f157]) ).
fof(f264,plain,
( sk_c5 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f260,f232]) ).
fof(f271,plain,
( sk_c7 != sk_c5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f264,f100]) ).
fof(f279,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f271,f243]) ).
fof(f284,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f279,f254]) ).
fof(f285,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f295,definition,
( spl0_16
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f296,plain,
( identity = sk_c7
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( identity != sk_c7
| spl0_16 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f304,definition,
( spl0_18
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f305,plain,
( sk_c7 = sk_c5
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( sk_c7 != sk_c5
| spl0_18 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f310,definition,
( spl0_19
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f311,plain,
( sk_c7 = sk_c6
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f315,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f85]) ).
fof(f322,plain,
( sk_c7 != sk_c7
| sk_c5 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f69,f106]) ).
fof(f325,plain,
( sk_c5 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f322]) ).
fof(f327,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f325,f85]) ).
fof(f328,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f329,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f254,f98,f93,f88,f79,f74,f64,f310]) ).
fof(f331,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f221,f98,f93,f88,f79,f64,f295]) ).
fof(f335,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_18 ),
inference(superposition,[],[f306,f243]) ).
fof(f336,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f335,f311]) ).
fof(f337,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_16 ),
inference(superposition,[],[f1,f296]) ).
fof(f353,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f145,f124]) ).
fof(f356,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f353,f311]) ).
fof(f358,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f356,f115]) ).
fof(f363,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f157,f305]) ).
fof(f367,plain,
( sk_c3 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f363,f231]) ).
fof(f370,plain,
( sk_c6 = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f367,f171]) ).
fof(f372,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f370,f311]) ).
fof(f381,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f59,f81]) ).
fof(f405,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f62,f311]) ).
fof(f407,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f75,f311]) ).
fof(f434,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(superposition,[],[f405,f171]) ).
fof(f436,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_19 ),
inference(superposition,[],[f405,f124]) ).
fof(f438,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f436,f311]) ).
fof(f440,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f434,f311]) ).
fof(f443,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f438,f115]) ).
fof(f444,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f447,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f100,f372]) ).
fof(f459,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f447,f440]) ).
fof(f460,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f466,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f72,f311]) ).
fof(f480,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f466,f3]) ).
fof(f483,plain,
( sk_c7 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_19 ),
inference(superposition,[],[f466,f124]) ).
fof(f487,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_5
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f480,f296]) ).
fof(f492,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f487,f447]) ).
fof(f497,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f492,f447]) ).
fof(f498,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f499,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f381]) ).
fof(f509,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f499,f79,f58,f88]) ).
fof(f514,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f353,f115]) ).
fof(f522,plain,
( sk_c7 = sk_c6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f514,f351]) ).
fof(f541,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f115]) ).
fof(f548,plain,
( sk_c2 = multiply(inverse(sk_c5),identity)
| ~ spl0_8 ),
inference(superposition,[],[f145,f315]) ).
fof(f551,plain,
( sk_c2 = inverse(sk_c5)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f548,f201]) ).
fof(f573,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f59,f186]) ).
fof(f581,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_13 ),
inference(superposition,[],[f145,f541]) ).
fof(f601,plain,
( identity = multiply(sk_c2,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f3,f551]) ).
fof(f602,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f601,f106]) ).
fof(f605,plain,
( $false
| ~ spl0_8
| ~ spl0_12
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f602,f297]) ).
fof(f606,plain,
( ~ spl0_8
| ~ spl0_12
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f613,plain,
( sk_c7 != sk_c6
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f483,f115]) ).
fof(f616,plain,
( spl0_19
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f522,f295,f122,f113,f310]) ).
fof(f621,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f613,f311]) ).
fof(f622,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f641,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f573,f311]) ).
fof(f649,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f581,f201]) ).
fof(f652,plain,
( sk_c7 = sk_c5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f407,f358]) ).
fof(f660,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f641,f311]) ).
fof(f666,plain,
( spl0_18
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f652,f310,f122,f113,f74,f304]) ).
fof(f673,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f660,f649]) ).
fof(f682,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f673,f115]) ).
fof(f683,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f684,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f66,f311]) ).
fof(f687,plain,
( sk_c7 != sk_c5
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f684,f358]) ).
fof(f690,plain,
( $false
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f687,f305]) ).
fof(f691,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f690]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f91]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f96]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f102]) ).
cnf(s7,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s8,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s11,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s12,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f116]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f117]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s16,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s17,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f125]) ).
cnf(s18,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f126]) ).
cnf(s19,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f127]) ).
cnf(s20,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s21,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s24,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f132]) ).
cnf(s25,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f133]) ).
cnf(s26,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f134]) ).
cnf(s27,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f242]) ).
cnf(s29,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f285]) ).
cnf(s33,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f328]) ).
cnf(s34,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f329]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f331]) ).
cnf(s36,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f337]) ).
cnf(s39,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(sat_conversion,[],[f444]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f460]) ).
cnf(s44,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f498]) ).
cnf(s46,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f509]) ).
cnf(s54,plain,
( ~ spl0_8
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f606]) ).
cnf(s57,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f616]) ).
cnf(s58,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19 ),
inference(sat_conversion,[],[f622]) ).
cnf(s66,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f666]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f683]) ).
cnf(s75,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f691]) ).
cnf(s76,plain,
spl0_3,
inference(rat,[],[s75,s66,s57,s54,s6,s11,s16,s21,s26]) ).
cnf(s77,plain,
spl0_6,
inference(rat,[],[s27,s24,s25,s76]) ).
cnf(s78,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s44,s36,s34,s35,s76,s77]) ).
cnf(s79,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s57,s54,s58,s10,s15,s20]) ).
cnf(s80,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s57,s54,s58,s9,s14,s19]) ).
cnf(s81,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s57,s54,s58,s8,s13,s18,s78,s80,s79]) ).
cnf(s82,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s78,s3,s4,s5,s81]) ).
cnf(s83,plain,
~ spl0_5,
inference(rat,[],[s57,s54,s58,s2,s7,s12,s17,s82]) ).
cnf(s84,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s33,s5,s10]) ).
cnf(s85,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s33,s4,s9]) ).
cnf(s86,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s33,s3,s8]) ).
cnf(s87,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_4
| ~ spl0_10 ),
inference(rat,[],[s33,s2,s7,s29,s77,s76]) ).
cnf(s88,plain,
~ spl0_4,
inference(rat,[],[s87,s86,s85,s84]) ).
cnf(s89,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s40,s36,s34,s76,s77]) ).
cnf(s90,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s57,s54,s39,s5,s10,s15,s20]) ).
cnf(s91,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s57,s54,s39,s4,s9,s14,s19]) ).
cnf(s92,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s57,s54,s39,s3,s8,s13,s18]) ).
cnf(s93,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_11
| ~ spl0_10 ),
inference(rat,[],[s57,s54,s39,s2,s7,s12,s17,s89]) ).
cnf(s94,plain,
~ spl0_2,
inference(rat,[],[s93,s92,s91,s90]) ).
cnf(s95,plain,
spl0_1,
inference(rat,[],[s1,s83,s77,s76,s88,s94]) ).
cnf(s96,plain,
spl0_9,
inference(rat,[],[s57,s54,s71,s3,s8,s13,s18,s76,s95]) ).
cnf(s97,plain,
~ spl0_7,
inference(rat,[],[s46,s95,s96]) ).
cnf(s98,plain,
spl0_14,
inference(rat,[],[s17,s97]) ).
cnf(s99,plain,
spl0_13,
inference(rat,[],[s12,s97]) ).
cnf(s100,plain,
spl0_12,
inference(rat,[],[s7,s97]) ).
cnf(s101,plain,
spl0_8,
inference(rat,[],[s2,s97]) ).
cnf(s103,plain,
~ spl0_19,
inference(rat,[],[s71,s95,s76,s99]) ).
cnf(s104,plain,
spl0_16,
inference(rat,[],[s54,s101,s100]) ).
cnf(s106,plain,
$false,
inference(rat,[],[s57,s99,s98,s103,s104]) ).
fof(f692,plain,
$false,
inference(avatar_sat_refutation,[],[s106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP291-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n016.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 09:50:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 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
% 0.16/0.47 % (2382554)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (2382559)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1948992359_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % (2382560)% WARNING: option uhcvi not known.
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % (2382561)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2233398935:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (2382560)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3169568772:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (2382564)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3896876510:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (2382562)dis+10_1_sil=32000:sp=arity:random_seed=2426002979:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (2382563)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=834766792:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (2382565)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3387291667:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % TRYING [5]
% 0.16/0.47 % (2382563) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2382554-2382563"...
% 0.16/0.47 % (2382562) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2382554-2382562"...
% 0.16/0.47 % (2382563)...printing done.
% 0.16/0.47 % (2382562)...printing done.
% 0.16/0.47 % TRYING [6]
% 0.16/0.47 % (2382563)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (2382563)------------------------------
% 0.16/0.48 % (2382563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (2382563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (2382563)CaDiCaL version: 2.1.3
% 0.16/0.48 % (2382563)Termination reason: Refutation
% 0.16/0.48 % (2382563)Time elapsed: 0.016 s
% 0.16/0.48 % (2382563)Peak memory usage: 12 MB
% 0.16/0.48 % (2382563)Instructions burned: 23 (million)
% 0.16/0.48 % (2382554)Success in time 0.057 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------