%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP296-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 10:13:34 AM UTC 2026
% Result : Unsatisfiable 2.89s 1.29s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 45
% Syntax : Number of formulae : 248 ( 21 unt; 17 def)
% Number of atoms : 742 ( 243 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 916 ( 422 ~; 477 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 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 : 46 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c4) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c2)
| sk_c4 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(X1,sk_c8) != sk_c6
| inverse(X1) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,X2) != sk_c7
| multiply(X3,sk_c8) != X2
| inverse(X3) != sk_c8
| multiply(X4,sk_c6) != sk_c8
| inverse(X4) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,X2)
| multiply(X3,sk_c8) != X2
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ),
inference(equality_resolution,[],[f78]) ).
fof(f81,definition,
( spl0_1
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f82,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c8 != multiply(X4,sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_2
<=> ! [X3] :
( sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f85,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X3,sk_c8)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f92,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c6 != multiply(X1,sk_c8) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f96,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f98,definition,
( spl0_6
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f99,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,definition,
( spl0_7
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f102,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f79,f101,f98,f94,f91,f87,f84,f81]) ).
fof(f106,definition,
( spl0_8
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f108,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f76,f110,f106]) ).
fof(f115,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f117,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f74,f110,f115]) ).
fof(f120,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f122,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f72,f110,f120]) ).
fof(f125,definition,
( spl0_12
<=> sk_c4 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f127,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f70,f110,f125]) ).
fof(f130,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c8,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f132,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f68,f110,f130]) ).
fof(f134,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f66,f110,f87]) ).
fof(f136,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f138,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f64,f136,f106]) ).
fof(f140,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f62,f136,f115]) ).
fof(f141,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f60,f136,f120]) ).
fof(f142,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f58,f136,f125]) ).
fof(f143,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f56,f136,f130]) ).
fof(f144,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f54,f136,f87]) ).
fof(f145,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f52,f94,f106]) ).
fof(f146,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f94,f115]) ).
fof(f150,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f94,f87]) ).
fof(f152,definition,
( spl0_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f154,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f152,f106]) ).
fof(f156,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f152,f115]) ).
fof(f160,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f152,f87]) ).
fof(f162,definition,
( spl0_16
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f164,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f162,f106]) ).
fof(f166,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f26,f162,f115]) ).
fof(f170,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f162,f87]) ).
fof(f171,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f101,f106]) ).
fof(f172,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f101,f115]) ).
fof(f176,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f101,f87]) ).
fof(f177,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f3,f108]) ).
fof(f181,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_3 ),
inference(superposition,[],[f4,f88]) ).
fof(f186,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f181,f1]) ).
fof(f189,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f177]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f193,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f190,f117]) ).
fof(f199,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f193,f88]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f186,f183]) ).
fof(f259,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c6,X0))
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f248,f199]) ).
fof(f265,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f259,f186]) ).
fof(f287,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f96,f265]) ).
fof(f289,plain,
( sk_c7 = sk_c4
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f132,f265]) ).
fof(f294,plain,
( sk_c6 = sk_c4
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f289,f199]) ).
fof(f295,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f287,f199]) ).
fof(f296,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f302,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f103,f265]) ).
fof(f303,plain,
( $false
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f302,f199]) ).
fof(f304,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f305,plain,
( ! [X0] :
( sk_c6 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f99,f199]) ).
fof(f307,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f305,f115,f106,f98,f87,f91]) ).
fof(f310,plain,
( sk_c6 != sk_c6
| sk_c8 != multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f82,f108]) ).
fof(f312,plain,
( sk_c8 != multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f310]) ).
fof(f318,definition,
( spl0_18
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f319,plain,
( sk_c8 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f322,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f312,f117]) ).
fof(f323,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f324,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f85,f265]) ).
fof(f325,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f324,f199]) ).
fof(f326,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f325,f115,f106,f87,f84,f91]) ).
fof(f328,plain,
( sk_c8 != sk_c8
| sk_c6 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f92,f122]) ).
fof(f329,plain,
( sk_c6 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f328]) ).
fof(f330,plain,
( sk_c6 != sk_c4
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f329,f127]) ).
fof(f364,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f294,f330]) ).
fof(f365,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f369,plain,
( sk_c8 != sk_c8
| sk_c6 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f92,f112]) ).
fof(f372,plain,
( sk_c6 != multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f369]) ).
fof(f375,plain,
( ~ spl0_14
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f372,f110,f91,f136]) ).
fof(f391,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f186,f138]) ).
fof(f393,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f391,f112]) ).
fof(f394,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_16 ),
inference(superposition,[],[f186,f164]) ).
fof(f395,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f164]) ).
fof(f396,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f394,f154]) ).
fof(f402,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f85,f112]) ).
fof(f403,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f402]) ).
fof(f406,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f403,f138]) ).
fof(f409,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f406,f95]) ).
fof(f410,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f463,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f393,f95]) ).
fof(f493,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f89,f319]) ).
fof(f556,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f395,f463]) ).
fof(f557,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f396,f463]) ).
fof(f560,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f556,f102]) ).
fof(f592,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f186,f560]) ).
fof(f594,plain,
( sk_c6 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f592,f154]) ).
fof(f595,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f594,f393]) ).
fof(f602,plain,
( sk_c8 != sk_c7
| spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f493,f557]) ).
fof(f603,plain,
( spl0_18
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f595,f162,f152,f136,f110,f101,f94,f318]) ).
fof(f609,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f602,f463]) ).
fof(f610,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f615,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f99,f463]) ).
fof(f635,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f615,f154]) ).
fof(f638,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f641,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f638,f164]) ).
fof(f644,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f641,f463]) ).
fof(f645,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f647,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c6) )
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f82,f319]) ).
fof(f650,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c8) )
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f647,f319]) ).
fof(f655,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(superposition,[],[f650,f112]) ).
fof(f656,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f659,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f656,f138]) ).
fof(f661,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f659,f319]) ).
fof(f662,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f661]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f113]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f123]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f133]) ).
cnf(s7,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f134]) ).
cnf(s8,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s9,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s10,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s11,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s12,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s13,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s14,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f145]) ).
cnf(s15,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f146]) ).
cnf(s19,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f150]) ).
cnf(s20,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s21,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s25,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s26,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s27,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s31,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s32,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f171]) ).
cnf(s33,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f172]) ).
cnf(s37,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f176]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f296]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f304]) ).
cnf(s40,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f307]) ).
cnf(s42,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f323]) ).
cnf(s43,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f326]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f365]) ).
cnf(s46,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_14 ),
inference(sat_conversion,[],[f375]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(sat_conversion,[],[f410]) ).
cnf(s54,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f603]) ).
cnf(s55,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f610]) ).
cnf(s57,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f645]) ).
cnf(s58,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f662]) ).
cnf(s60,plain,
spl0_3,
inference(rat,[],[s54,s55,s7,s13,s19,s25,s31,s37]) ).
cnf(s61,plain,
spl0_7,
inference(rat,[],[s39,s32,s33,s60]) ).
cnf(s62,plain,
( spl0_10
| ~ spl0_6
| ~ spl0_5 ),
inference(rat,[],[s57,s3,s9,s21,s27]) ).
cnf(s63,plain,
( ~ spl0_5
| spl0_4
| spl0_1
| spl0_2 ),
inference(rat,[],[s57,s2,s8,s20,s26,s40,s62,s1,s61,s60]) ).
cnf(s64,plain,
spl0_5,
inference(rat,[],[s38,s14,s15,s60]) ).
cnf(s65,plain,
( spl0_14
| ~ spl0_8
| ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s45,s10,s11,s12,s60]) ).
cnf(s66,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s45,s4,s5,s6,s46,s65,s60]) ).
cnf(s68,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s46,s3,s9]) ).
cnf(s69,plain,
( ~ spl0_10
| ~ spl0_4 ),
inference(rat,[],[s46,s2,s8,s66]) ).
cnf(s70,plain,
~ spl0_4,
inference(rat,[],[s69,s68]) ).
cnf(s71,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s47,s3,s9,s64]) ).
cnf(s72,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s47,s2,s8,s43,s70,s60,s64]) ).
cnf(s73,plain,
~ spl0_2,
inference(rat,[],[s72,s71]) ).
cnf(s74,plain,
spl0_1,
inference(rat,[],[s63,s64,s70,s73]) ).
cnf(s75,plain,
spl0_10,
inference(rat,[],[s54,s58,s3,s9,s21,s27,s64,s61,s74]) ).
cnf(s76,plain,
~ spl0_8,
inference(rat,[],[s42,s74,s75]) ).
cnf(s77,plain,
spl0_16,
inference(rat,[],[s26,s76]) ).
cnf(s78,plain,
spl0_15,
inference(rat,[],[s20,s76]) ).
cnf(s79,plain,
spl0_14,
inference(rat,[],[s8,s76]) ).
cnf(s80,plain,
spl0_9,
inference(rat,[],[s2,s76]) ).
cnf(s81,plain,
~ spl0_18,
inference(rat,[],[s58,s79,s74,s80]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s54,s79,s77,s78,s61,s64,s81,s80]) ).
fof(f665,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP296-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.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 09:52:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/1.29 % (1414002)Input is clausal, will run a generic CNF schedule.
% 2.89/1.29 % (1414011)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1353036643:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.89/1.29 % (1414008)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2734361259:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.89/1.29 % (1414007)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=2021487347:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.89/1.29 % (1414010)lrs+10_1_sil=8000:sp=occurrence:random_seed=1305116064:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.89/1.29 % (1414009)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3141600196:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.89/1.29 % (1414011)Instruction limit reached!
% 2.89/1.29 % (1414011)------------------------------
% 2.89/1.29 % (1414011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.29 % (1414011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.29 % (1414011)CaDiCaL version: 2.1.3
% 2.89/1.29 % (1414011)Termination reason: Instruction limit
% 2.89/1.29 % (1414011)Termination phase: Saturation
% 2.89/1.29 % (1414011)Time elapsed: 0.037 s
% 2.89/1.29 % (1414011)Peak memory usage: 89 MB
% 2.89/1.29 % (1414011)Instructions burned: 117 (million)
% 2.89/1.29 % (1414010)Refutation not found, incomplete strategy
% 2.89/1.29 % (1414010)------------------------------
% 2.89/1.29 % (1414010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.29 % (1414010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.29 % (1414010)CaDiCaL version: 2.1.3
% 2.89/1.29 % (1414010)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.29 % (1414010)Time elapsed: 0.004 s
% 2.89/1.29 % (1414010)Peak memory usage: 88 MB
% 2.89/1.29 % (1414010)Instructions burned: 5 (million)
% 2.89/1.29 % (1414013)dis-21_1_sil=8000:lcm=predicate:random_seed=3054931448: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)
% 2.89/1.29 % (1414012)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=404946166:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.89/1.29 % (1414013)Refutation not found, incomplete strategy
% 2.89/1.29 % (1414013)------------------------------
% 2.89/1.29 % (1414013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.29 % (1414013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.29 % (1414013)CaDiCaL version: 2.1.3
% 2.89/1.29 % (1414013)Termination reason: Refutation not found, incomplete strategy
% 2.89/1.29 % (1414013)Time elapsed: 0.002 s
% 2.89/1.29 % (1414013)Peak memory usage: 88 MB
% 2.89/1.29 % (1414013)Instructions burned: 2 (million)
% 2.89/1.29 % (1414012)First to succeed.
% 2.89/1.29 % (1414012)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1414002"
% 2.89/1.29 % (1414019)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=3268260677:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.89/1.29 % (1414019)Instruction limit reached!
% 2.89/1.29 % (1414019)------------------------------
% 2.89/1.29 % (1414019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.29 % (1414019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.29 % (1414019)CaDiCaL version: 2.1.3
% 2.89/1.29 % (1414019)Termination reason: Instruction limit
% 2.89/1.29 % (1414019)Termination phase: Saturation
% 2.89/1.29 % (1414019)Time elapsed: 0.034 s
% 2.89/1.29 % (1414019)Peak memory usage: 89 MB
% 2.89/1.29 % (1414019)Instructions burned: 143 (million)
% 2.89/1.29 % (1414010)------------------------------
% 2.89/1.29 % (1414010)------------------------------
% 2.89/1.29 % (1414013)------------------------------
% 2.89/1.29 % (1414013)------------------------------
% 2.89/1.29 % (1414012)Refutation found. Thanks to Tanya!
% 2.89/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.89/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.49 % (1414012)------------------------------
% 3.73/1.49 % (1414012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.49 % (1414012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.49 % (1414012)CaDiCaL version: 2.1.3
% 3.73/1.49 % (1414012)Termination reason: Refutation
% 3.73/1.49 % (1414012)Time elapsed: 0.016 s
% 3.73/1.49 % (1414012)Peak memory usage: 89 MB
% 3.73/1.49 % (1414012)Instructions burned: 23 (million)
% 3.73/1.49 % (1414012)------------------------------
% 3.73/1.49 % (1414012)------------------------------
% 3.73/1.49 % (1414002)Success in time 0.449 s
% 3.73/1.49 % Vampire exiting
%------------------------------------------------------------------------------