%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP216-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:13:21 AM UTC 2026
% Result : Unsatisfiable 2.55s 1.30s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 44
% Syntax : Number of formulae : 268 ( 19 unt; 16 def)
% Number of atoms : 833 ( 253 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1078 ( 513 ~; 549 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,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_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,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_c4,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| inverse(sk_c7) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(sk_c7,X3) != sk_c6
| multiply(X4,sk_c7) != X3
| inverse(X4) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c6 != inverse(sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != multiply(sk_c7,X3)
| multiply(X4,sk_c7) != X3
| sk_c7 != inverse(X4) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X2,X0,X1,X4] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1)
| sk_c6 != inverse(sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) ),
inference(equality_resolution,[],[f54]) ).
fof(f57,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f58,plain,
( ! [X4] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_2
<=> ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f61,plain,
( ! [X2] :
( sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_3
<=> sk_c6 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( sk_c6 != inverse(sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c6)
| sk_c6 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_5
<=> ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f71,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f72,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f55,f70,f67,f63,f60,f57]) ).
fof(f74,definition,
( spl0_6
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f76,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl0_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f80,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f52,f78,f74]) ).
fof(f83,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f85,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f50,f78,f83]) ).
fof(f88,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f90,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f48,f78,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_7 ),
inference(avatar_split_clause,[],[f46,f78,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_7 ),
inference(avatar_split_clause,[],[f44,f78,f98]) ).
fof(f102,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f78,f63]) ).
fof(f104,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f104,f74]) ).
fof(f108,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f104,f83]) ).
fof(f109,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f104,f88]) ).
fof(f110,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f104,f93]) ).
fof(f111,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f104,f98]) ).
fof(f112,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f30,f104,f63]) ).
fof(f114,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f116,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f114,f74]) ).
fof(f118,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f114,f83]) ).
fof(f119,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f114,f88]) ).
fof(f120,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f114,f93]) ).
fof(f121,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f114,f98]) ).
fof(f122,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f114,f63]) ).
fof(f124,definition,
( spl0_14
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f126,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f124,f74]) ).
fof(f128,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f14,f124,f83]) ).
fof(f129,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f124,f88]) ).
fof(f130,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f124,f93]) ).
fof(f131,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f124,f98]) ).
fof(f132,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f6,f124,f63]) ).
fof(f133,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f61,f95]) ).
fof(f134,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f133]) ).
fof(f135,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f134,f100]) ).
fof(f136,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f137,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f61,f106]) ).
fof(f138,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f137]) ).
fof(f139,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f138,f80]) ).
fof(f141,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f116]) ).
fof(f145,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f3,f80]) ).
fof(f146,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f61,f3]) ).
fof(f148,definition,
( spl0_15
<=> sk_c7 = inverse(inverse(sk_c6)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f150,plain,
( sk_c7 != inverse(inverse(sk_c6))
| spl0_15 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f152,definition,
( spl0_16
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f153,plain,
( identity = sk_c7
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f146,f60,f152,f148]) ).
fof(f158,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f164,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f158,f1]) ).
fof(f167,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f141]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f177,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f168,f126]) ).
fof(f274,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f164,f177]) ).
fof(f279,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_7 ),
inference(superposition,[],[f164,f145]) ).
fof(f282,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f164,f85]) ).
fof(f284,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f164,f106]) ).
fof(f290,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f284,f80]) ).
fof(f292,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f282,f76]) ).
fof(f298,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f274,f3]) ).
fof(f315,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f164,f290]) ).
fof(f317,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f315,f3]) ).
fof(f321,plain,
( spl0_16
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f317,f104,f78,f152]) ).
fof(f322,plain,
( sk_c7 = sk_c6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f153,f298]) ).
fof(f324,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_16 ),
inference(superposition,[],[f1,f153]) ).
fof(f327,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f322,f139]) ).
fof(f328,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f329,plain,
( sk_c7 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f292,f90]) ).
fof(f353,plain,
( sk_c7 = sk_c6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f324,f177]) ).
fof(f418,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f145,f329]) ).
fof(f461,plain,
( sk_c2 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f279,f298]) ).
fof(f462,plain,
( identity = sk_c2
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f461,f3]) ).
fof(f463,plain,
( sk_c6 = sk_c2
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f462,f298]) ).
fof(f467,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f80,f463]) ).
fof(f514,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f467,f353]) ).
fof(f518,plain,
( sk_c7 != sk_c6
| spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f65,f514]) ).
fof(f523,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f518,f353]) ).
fof(f524,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f528,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f71,f353]) ).
fof(f543,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f528,f116]) ).
fof(f549,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f554,plain,
( sk_c7 != sk_c6
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f549,f126]) ).
fof(f557,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f554,f353]) ).
fof(f558,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f564,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f68,f353]) ).
fof(f565,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f564,f353]) ).
fof(f567,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f565,f116]) ).
fof(f573,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f567]) ).
fof(f578,plain,
( sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f573,f126]) ).
fof(f581,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f578,f353]) ).
fof(f582,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f588,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f58,f324]) ).
fof(f589,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f588,f353]) ).
fof(f592,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f589,f514]) ).
fof(f596,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f592]) ).
fof(f600,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f596,f324]) ).
fof(f601,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f612,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f418,f463]) ).
fof(f620,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f612,f177]) ).
fof(f623,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f620,f124,f114,f88,f83,f78,f74,f152]) ).
fof(f627,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(superposition,[],[f150,f329]) ).
fof(f628,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(forward_demodulation,[],[f627,f64]) ).
fof(f629,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(forward_demodulation,[],[f628,f329]) ).
fof(f630,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(forward_demodulation,[],[f629,f64]) ).
fof(f631,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f630,f329]) ).
fof(f632,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f640,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f90,f329]) ).
fof(f646,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f95,f329]) ).
fof(f659,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f58,f329]) ).
fof(f664,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,multiply(sk_c4,sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f659,f76]) ).
fof(f666,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c4,sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f670,plain,
( sk_c7 != multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f666,f85]) ).
fof(f673,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f670,f640]) ).
fof(f674,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f675,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f71,f329]) ).
fof(f685,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f675,f100]) ).
fof(f689,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f685]) ).
fof(f692,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f689,f646]) ).
fof(f693,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f697,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c7)
| sk_c6 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f68,f329]) ).
fof(f698,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f697,f329]) ).
fof(f709,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f698,f100]) ).
fof(f713,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f709]) ).
fof(f716,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f713,f646]) ).
fof(f717,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f716]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f72]) ).
cnf(s2,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f81]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f91]) ).
cnf(s5,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f96]) ).
cnf(s6,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f101]) ).
cnf(s7,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f107]) ).
cnf(s9,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f108]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f109]) ).
cnf(s11,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f110]) ).
cnf(s12,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f111]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f112]) ).
cnf(s14,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f117]) ).
cnf(s15,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s16,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f119]) ).
cnf(s17,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f120]) ).
cnf(s18,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f121]) ).
cnf(s19,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f122]) ).
cnf(s20,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f127]) ).
cnf(s21,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f128]) ).
cnf(s22,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f129]) ).
cnf(s23,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f130]) ).
cnf(s24,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s25,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f132]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f136]) ).
cnf(s27,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f155]) ).
cnf(s32,plain,
( ~ spl0_7
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f321]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f328]) ).
cnf(s47,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f524]) ).
cnf(s52,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f558]) ).
cnf(s56,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f582]) ).
cnf(s59,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f601]) ).
cnf(s63,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f623]) ).
cnf(s65,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f632]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f674]) ).
cnf(s67,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f693]) ).
cnf(s68,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f717]) ).
cnf(s69,plain,
spl0_3,
inference(rat,[],[s32,s47,s7,s13,s19,s25]) ).
cnf(s70,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s32,s52,s2,s8,s14,s20]) ).
cnf(s71,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s67,s21,s22,s23,s24,s70]) ).
cnf(s72,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s67,s15,s16,s17,s18,s70]) ).
cnf(s73,plain,
( spl0_12
| ~ spl0_5 ),
inference(rat,[],[s67,s9,s10,s11,s12,s70]) ).
cnf(s74,plain,
~ spl0_5,
inference(rat,[],[s67,s3,s4,s5,s6,s32,s73,s52,s72,s71,s70]) ).
cnf(s75,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s68,s21,s22,s23,s24]) ).
cnf(s76,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s68,s15,s16,s17,s18]) ).
cnf(s77,plain,
( ~ spl0_7
| spl0_16
| ~ spl0_13
| ~ spl0_14
| ~ spl0_6 ),
inference(rat,[],[s63,s9,s10,s32]) ).
cnf(s78,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s68,s3,s4,s5,s6,s77,s56,s76,s75]) ).
cnf(s79,plain,
~ spl0_4,
inference(rat,[],[s32,s56,s2,s8,s14,s20,s78]) ).
cnf(s80,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s26,s23,s24]) ).
cnf(s81,plain,
( ~ spl0_13
| ~ spl0_7
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s65,s9,s10,s27,s34,s77,s80,s69]) ).
cnf(s82,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s26,s17,s18]) ).
cnf(s83,plain,
( spl0_7
| ~ spl0_2 ),
inference(rat,[],[s26,s5,s6]) ).
cnf(s84,plain,
~ spl0_2,
inference(rat,[],[s34,s32,s8,s81,s83,s82,s80]) ).
cnf(s85,plain,
spl0_1,
inference(rat,[],[s1,s74,s69,s79,s84]) ).
cnf(s86,plain,
( spl0_14
| ~ spl0_6 ),
inference(rat,[],[s66,s21,s22,s85]) ).
cnf(s87,plain,
( ~ spl0_13
| ~ spl0_7
| ~ spl0_6
| ~ spl0_14 ),
inference(rat,[],[s59,s77,s85]) ).
cnf(s88,plain,
( spl0_13
| ~ spl0_6 ),
inference(rat,[],[s66,s15,s16,s85]) ).
cnf(s89,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_6 ),
inference(rat,[],[s66,s3,s4,s87,s85]) ).
cnf(s90,plain,
~ spl0_6,
inference(rat,[],[s89,s88,s86]) ).
cnf(s91,plain,
spl0_14,
inference(rat,[],[s20,s90]) ).
cnf(s92,plain,
spl0_13,
inference(rat,[],[s14,s90]) ).
cnf(s93,plain,
spl0_12,
inference(rat,[],[s8,s90]) ).
cnf(s94,plain,
spl0_7,
inference(rat,[],[s2,s90]) ).
cnf(s95,plain,
~ spl0_16,
inference(rat,[],[s59,s91,s94,s85,s92]) ).
cnf(s96,plain,
$false,
inference(rat,[],[s32,s94,s95,s93]) ).
fof(f721,plain,
$false,
inference(avatar_sat_refutation,[],[s96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP216-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:39:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/1.30 % (255731)Input is clausal, will run a generic CNF schedule.
% 2.55/1.30 % (255772)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1994890433:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.30 % (255766)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1739321805:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.30 % (255769)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3045834204:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.30 % (255772)Instruction limit reached!
% 2.55/1.30 % (255772)------------------------------
% 2.55/1.30 % (255772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.30 % (255772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.30 % (255772)CaDiCaL version: 2.1.3
% 2.55/1.30 % (255772)Termination reason: Instruction limit
% 2.55/1.30 % (255772)Termination phase: Saturation
% 2.55/1.30 % (255772)Time elapsed: 0.035 s
% 2.55/1.30 % (255772)Peak memory usage: 89 MB
% 2.55/1.30 % (255772)Instructions burned: 114 (million)
% 2.55/1.30 % (255767)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1000234936:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.30 % (255774)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3811773283:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.30 % (255776)dis-21_1_sil=8000:lcm=predicate:random_seed=2937453392:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.55/1.30 % (255771)lrs+10_1_sil=8000:sp=occurrence:random_seed=3138845916:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.30 % (255776)Refutation not found, incomplete strategy
% 2.55/1.30 % (255776)------------------------------
% 2.55/1.30 % (255776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.30 % (255776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.30 % (255776)CaDiCaL version: 2.1.3
% 2.55/1.30 % (255776)Termination reason: Refutation not found, incomplete strategy
% 2.55/1.30 % (255776)Time elapsed: 0.002 s
% 2.55/1.30 % (255776)Peak memory usage: 88 MB
% 2.55/1.30 % (255776)Instructions burned: 1 (million)
% 2.55/1.30 % (255774)First to succeed.
% 2.55/1.30 % (255774)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-255731"
% 2.55/1.30 % (255771)Instruction limit reached!
% 2.55/1.30 % (255771)------------------------------
% 2.55/1.30 % (255771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.30 % (255771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.30 % (255771)CaDiCaL version: 2.1.3
% 2.55/1.30 % (255771)Termination reason: Instruction limit
% 2.55/1.30 % (255771)Termination phase: Saturation
% 2.55/1.30 % (255771)Time elapsed: 0.058 s
% 2.55/1.30 % (255771)Peak memory usage: 89 MB
% 2.55/1.30 % (255771)Instructions burned: 108 (million)
% 2.55/1.30 % (255825)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=992484528:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.55/1.30 % (255825)Instruction limit reached!
% 2.55/1.30 % (255825)------------------------------
% 2.55/1.30 % (255825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.30 % (255825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.30 % (255825)CaDiCaL version: 2.1.3
% 2.55/1.30 % (255825)Termination reason: Instruction limit
% 2.55/1.30 % (255825)Termination phase: Saturation
% 2.55/1.30 % (255825)Time elapsed: 0.040 s
% 2.55/1.30 % (255825)Peak memory usage: 90 MB
% 2.55/1.30 % (255825)Instructions burned: 146 (million)
% 2.55/1.30 % (255848)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1953026215:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.55/1.30 % (255776)------------------------------
% 2.55/1.30 % (255776)------------------------------
% 2.55/1.30 % (255868)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4001843268:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.55/1.30 % (255774)Refutation found. Thanks to Tanya!
% 2.55/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.49 % (255774)------------------------------
% 3.52/1.49 % (255774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.49 % (255774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.49 % (255774)CaDiCaL version: 2.1.3
% 3.52/1.49 % (255774)Termination reason: Refutation
% 3.52/1.49 % (255774)Time elapsed: 0.016 s
% 3.52/1.49 % (255774)Peak memory usage: 89 MB
% 3.52/1.49 % (255774)Instructions burned: 25 (million)
% 3.52/1.49 % (255774)------------------------------
% 3.52/1.49 % (255774)------------------------------
% 3.52/1.49 % (255731)Success in time 0.408 s
% 3.52/1.49 % Vampire exiting
%------------------------------------------------------------------------------