%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP223-1 : 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 : n002.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 10:13:22 AM UTC 2026
% Result : Unsatisfiable 2.97s 1.25s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 45
% Syntax : Number of formulae : 248 ( 16 unt; 18 def)
% Number of atoms : 744 ( 252 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 925 ( 429 ~; 478 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 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,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c1) = sk_c9
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f9]) ).
fof(f15,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f27]) ).
fof(f35,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| multiply(X0,sk_c8) != sk_c9
| multiply(sk_c9,X1) != sk_c8
| multiply(X2,sk_c9) != X1
| inverse(X2) != sk_c9
| multiply(X3,X4) != sk_c9
| inverse(X3) != X4
| multiply(X4,sk_c8) != sk_c9
| multiply(sk_c9,X5) != sk_c8
| multiply(X6,sk_c9) != X5
| inverse(X6) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,X1)
| multiply(X2,sk_c9) != X1
| sk_c9 != inverse(X2)
| sk_c9 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != multiply(sk_c9,X5)
| multiply(X6,sk_c9) != X5
| sk_c9 != inverse(X6) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c9 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != multiply(sk_c9,X5)
| multiply(X6,sk_c9) != X5
| sk_c9 != inverse(X6) ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X6,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c9 != multiply(X3,inverse(X3))
| sk_c9 != multiply(inverse(X3),sk_c8)
| sk_c8 != multiply(sk_c9,X5)
| multiply(X6,sk_c9) != X5
| sk_c9 != inverse(X6) ),
inference(equality_resolution,[],[f67]) ).
fof(f69,plain,
! [X2,X3,X0,X6] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c9 != multiply(X3,inverse(X3))
| sk_c9 != multiply(inverse(X3),sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X6,sk_c9))
| sk_c9 != inverse(X6) ),
inference(equality_resolution,[],[f68]) ).
fof(f71,definition,
( spl0_1
<=> ! [X6] :
( sk_c8 != multiply(sk_c9,multiply(X6,sk_c9))
| sk_c9 != inverse(X6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f72,plain,
( ! [X6] :
( sk_c8 != multiply(sk_c9,multiply(X6,sk_c9))
| sk_c9 != inverse(X6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,inverse(X3))
| sk_c9 != multiply(inverse(X3),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f75,plain,
( ! [X3] :
( sk_c9 != multiply(inverse(X3),sk_c8)
| sk_c9 != multiply(X3,inverse(X3)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,definition,
( spl0_3
<=> ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f78,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f79,plain,
( spl0_1
| spl0_2
| spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f69,f77,f71,f74,f71]) ).
fof(f81,definition,
( spl0_4
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f83,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl0_5
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f87,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f64,f85,f81]) ).
fof(f90,definition,
( spl0_6
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f92,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f62,f85,f90]) ).
fof(f95,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f97,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f60,f85,f95]) ).
fof(f100,definition,
( spl0_8
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f102,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f58,f85,f100]) ).
fof(f105,definition,
( spl0_9
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f107,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f56,f85,f105]) ).
fof(f110,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f112,plain,
( sk_c9 = multiply(sk_c4,sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f54,f85,f110]) ).
fof(f115,definition,
( spl0_11
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f117,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f52,f115,f81]) ).
fof(f119,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f50,f115,f90]) ).
fof(f120,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f48,f115,f95]) ).
fof(f121,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f46,f115,f100]) ).
fof(f122,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f44,f115,f105]) ).
fof(f123,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f42,f115,f110]) ).
fof(f125,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f126,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f125,f81]) ).
fof(f129,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f125,f90]) ).
fof(f130,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f125,f95]) ).
fof(f135,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f137,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f135,f81]) ).
fof(f141,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f135,f100]) ).
fof(f142,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f135,f105]) ).
fof(f143,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f135,f110]) ).
fof(f145,definition,
( spl0_14
<=> inverse(sk_c1) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f147,plain,
( inverse(sk_c1) = sk_c9
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f145,f81]) ).
fof(f151,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f145,f100]) ).
fof(f152,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f145,f105]) ).
fof(f153,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f6,f145,f110]) ).
fof(f155,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| sk_c9 != multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f75,f107]) ).
fof(f156,plain,
( sk_c9 != multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f155,f102]) ).
fof(f161,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c9,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f162,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f163,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| spl0_15 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f165,definition,
( spl0_16
<=> sk_c9 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f169,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f156,f105,f100,f74,f110]) ).
fof(f176,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f75,f147]) ).
fof(f178,definition,
( spl0_18
<=> sk_c9 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f181,plain,
( ~ spl0_18
| ~ spl0_15
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f176,f145,f74,f161,f178]) ).
fof(f182,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f147]) ).
fof(f184,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f3,f83]) ).
fof(f185,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_5 ),
inference(superposition,[],[f3,f87]) ).
fof(f192,definition,
( spl0_20
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f193,plain,
( identity = sk_c9
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f198,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f205,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f198,f1]) ).
fof(f208,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f182]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f208,f1]) ).
fof(f212,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f184]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f212,f1]) ).
fof(f214,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f185]) ).
fof(f215,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f214,f1]) ).
fof(f219,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f209,f137]) ).
fof(f235,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f213,f92]) ).
fof(f252,plain,
( sk_c9 = sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f235,f97]) ).
fof(f313,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f205,f117]) ).
fof(f318,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f313,f87]) ).
fof(f321,plain,
( sk_c9 = sk_c8
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f318,f127]) ).
fof(f325,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f205,f318]) ).
fof(f327,plain,
( identity = sk_c3
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f325,f3]) ).
fof(f335,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f137,f321]) ).
fof(f336,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(superposition,[],[f163,f321]) ).
fof(f340,plain,
( sk_c9 != sk_c8
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(forward_demodulation,[],[f336,f219]) ).
fof(f341,plain,
( spl0_18
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f335,f135,f125,f115,f85,f178]) ).
fof(f342,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f340,f321]) ).
fof(f343,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f344,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c9 != multiply(sk_c9,multiply(X6,sk_c9)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f72,f321]) ).
fof(f345,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f162,f321]) ).
fof(f348,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f344,f87]) ).
fof(f349,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f348]) ).
fof(f351,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f349,f215]) ).
fof(f352,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f364,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c9) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f78,f321]) ).
fof(f365,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f364,f147]) ).
fof(f367,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f364,f87]) ).
fof(f368,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f367]) ).
fof(f369,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f365]) ).
fof(f370,plain,
( sk_c9 != sk_c3
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f368,f117]) ).
fof(f376,plain,
( ~ spl0_18
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f369,f145,f125,f115,f85,f77,f178]) ).
fof(f377,plain,
( sk_c9 != sk_c8
| ~ spl0_5
| ~ spl0_11
| spl0_12 ),
inference(forward_demodulation,[],[f126,f318]) ).
fof(f383,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f205,f112]) ).
fof(f385,plain,
( sk_c5 = multiply(sk_c5,sk_c9)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f383,f107]) ).
fof(f386,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f252,f377]) ).
fof(f387,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f412,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f205,f345]) ).
fof(f414,plain,
( identity = sk_c9
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f412,f3]) ).
fof(f417,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f414,f161,f125,f115,f85,f192]) ).
fof(f418,plain,
( sk_c9 = sk_c3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f193,f327]) ).
fof(f425,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f418,f370]) ).
fof(f426,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f464,plain,
( ! [X0] :
( sk_c9 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f78,f252]) ).
fof(f470,plain,
( sk_c9 != sk_c7
| sk_c9 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f464,f92]) ).
fof(f488,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f205,f385]) ).
fof(f490,plain,
( identity = sk_c9
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f488,f3]) ).
fof(f491,plain,
( spl0_20
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f490,f110,f105,f192]) ).
fof(f495,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_20 ),
inference(superposition,[],[f1,f193]) ).
fof(f599,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c9 != multiply(sk_c9,multiply(X6,sk_c9)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f72,f252]) ).
fof(f602,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c6,sk_c9))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f599,f83]) ).
fof(f605,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c6,sk_c9))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f602]) ).
fof(f609,plain,
( sk_c9 != multiply(sk_c9,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f605,f92]) ).
fof(f612,plain,
( sk_c9 != sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f609,f97]) ).
fof(f613,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f612,f252]) ).
fof(f614,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f707,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f97,f495]) ).
fof(f720,plain,
( sk_c9 = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f707,f252]) ).
fof(f734,plain,
( sk_c9 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f470,f83]) ).
fof(f736,plain,
( spl0_16
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f720,f192,f95,f90,f81,f165]) ).
fof(f737,plain,
( ~ spl0_16
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f734,f95,f90,f81,f77,f165]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f79]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f88]) ).
cnf(s4,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f93]) ).
cnf(s5,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f98]) ).
cnf(s6,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f103]) ).
cnf(s7,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f108]) ).
cnf(s8,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f113]) ).
cnf(s9,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f118]) ).
cnf(s10,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s11,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f120]) ).
cnf(s12,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f121]) ).
cnf(s13,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f122]) ).
cnf(s14,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f123]) ).
cnf(s15,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s16,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f129]) ).
cnf(s17,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f130]) ).
cnf(s21,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s24,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s25,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f142]) ).
cnf(s26,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f143]) ).
cnf(s27,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s30,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s31,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f152]) ).
cnf(s32,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f153]) ).
cnf(s35,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f169]) ).
cnf(s37,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(sat_conversion,[],[f181]) ).
cnf(s41,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f341]) ).
cnf(s42,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f343]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f352]) ).
cnf(s47,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f376]) ).
cnf(s49,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f387]) ).
cnf(s56,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f417]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f426]) ).
cnf(s64,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f491]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f614]) ).
cnf(s88,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f736]) ).
cnf(s90,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f737]) ).
cnf(s92,plain,
( spl0_4
| ~ spl0_3 ),
inference(rat,[],[s47,s41,s3,s9,s15,s21,s27]) ).
cnf(s93,plain,
( spl0_14
| spl0_20 ),
inference(rat,[],[s64,s31,s32]) ).
cnf(s94,plain,
( spl0_20
| ~ spl0_12
| ~ spl0_5
| ~ spl0_11 ),
inference(rat,[],[s64,s25,s26,s42,s93,s56]) ).
cnf(s95,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s94,s58]) ).
cnf(s96,plain,
( ~ spl0_11
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s49,s16,s17,s95,s92]) ).
cnf(s97,plain,
( spl0_11
| ~ spl0_3 ),
inference(rat,[],[s90,s88,s64,s10,s11,s13,s14,s92]) ).
cnf(s98,plain,
~ spl0_3,
inference(rat,[],[s90,s88,s64,s4,s5,s7,s8,s96,s97,s92]) ).
cnf(s99,plain,
( spl0_8
| ~ spl0_12
| ~ spl0_11
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s37,s41,s42,s24,s30]) ).
cnf(s100,plain,
( spl0_10
| ~ spl0_12
| ~ spl0_11
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s37,s41,s42,s26,s32]) ).
cnf(s101,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_2
| ~ spl0_5 ),
inference(rat,[],[s37,s41,s42,s25,s31,s35,s100,s99]) ).
cnf(s102,plain,
( ~ spl0_11
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s49,s15,s16,s17,s101]) ).
cnf(s103,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s35,s12,s13,s14]) ).
cnf(s104,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s35,s6,s7,s8,s102]) ).
cnf(s105,plain,
~ spl0_2,
inference(rat,[],[s104,s103]) ).
cnf(s106,plain,
spl0_1,
inference(rat,[],[s2,s98,s105]) ).
cnf(s107,plain,
( ~ spl0_11
| ~ spl0_5 ),
inference(rat,[],[s49,s15,s16,s17,s43,s106]) ).
cnf(s108,plain,
spl0_11,
inference(rat,[],[s71,s9,s10,s11,s106]) ).
cnf(s109,plain,
~ spl0_5,
inference(rat,[],[s107,s108]) ).
cnf(s113,plain,
spl0_7,
inference(rat,[],[s5,s109]) ).
cnf(s114,plain,
spl0_6,
inference(rat,[],[s4,s109]) ).
cnf(s115,plain,
spl0_4,
inference(rat,[],[s3,s109]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s71,s113,s106,s114,s115]) ).
fof(f738,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP223-1 : 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 : n002.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 09:40:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.97/1.25 % (3298239)Input is clausal, will run a generic CNF schedule.
% 2.97/1.25 % (3298248)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1067628666:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.97/1.25 % (3298250)dis-21_1_sil=8000:lcm=predicate:random_seed=2001070430: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)
% 2.97/1.25 % (3298244)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=1838346357:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.97/1.25 % (3298249)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2639182127:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.97/1.25 % (3298248)Instruction limit reached!
% 2.97/1.25 % (3298248)------------------------------
% 2.97/1.25 % (3298248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.25 % (3298248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.25 % (3298248)CaDiCaL version: 2.1.3
% 2.97/1.25 % (3298248)Termination reason: Instruction limit
% 2.97/1.25 % (3298248)Termination phase: Saturation
% 2.97/1.25 % (3298248)Time elapsed: 0.037 s
% 2.97/1.25 % (3298248)Peak memory usage: 89 MB
% 2.97/1.25 % (3298248)Instructions burned: 117 (million)
% 2.97/1.25 % (3298250)Refutation not found, incomplete strategy
% 2.97/1.25 % (3298250)------------------------------
% 2.97/1.25 % (3298250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.25 % (3298250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.25 % (3298250)CaDiCaL version: 2.1.3
% 2.97/1.25 % (3298250)Termination reason: Refutation not found, incomplete strategy
% 2.97/1.25 % (3298250)Time elapsed: 0.002 s
% 2.97/1.25 % (3298250)Peak memory usage: 88 MB
% 2.97/1.25 % (3298250)Instructions burned: 2 (million)
% 2.97/1.25 % (3298245)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=272808908:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.97/1.25 % (3298246)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=895710150:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.97/1.25 % (3298247)lrs+10_1_sil=8000:sp=occurrence:random_seed=4122852691:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.97/1.25 % (3298247)Refutation not found, incomplete strategy
% 2.97/1.25 % (3298247)------------------------------
% 2.97/1.25 % (3298247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.25 % (3298247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.25 % (3298247)CaDiCaL version: 2.1.3
% 2.97/1.25 % (3298247)Termination reason: Refutation not found, incomplete strategy
% 2.97/1.25 % (3298247)Time elapsed: 0.005 s
% 2.97/1.25 % (3298247)Peak memory usage: 88 MB
% 2.97/1.25 % (3298247)Instructions burned: 8 (million)
% 2.97/1.25 % (3298249)First to succeed.
% 2.97/1.25 % (3298249)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3298239"
% 2.97/1.25 % (3298257)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=972159843:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.97/1.25 % (3298257)Refutation not found, incomplete strategy
% 2.97/1.25 % (3298257)------------------------------
% 2.97/1.25 % (3298257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.25 % (3298257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.25 % (3298257)CaDiCaL version: 2.1.3
% 2.97/1.25 % (3298257)Termination reason: Refutation not found, incomplete strategy
% 2.97/1.25 % (3298257)Time elapsed: 0.003 s
% 2.97/1.25 % (3298257)Peak memory usage: 88 MB
% 2.97/1.25 % (3298257)Instructions burned: 7 (million)
% 2.97/1.25 % (3298257)------------------------------
% 2.97/1.25 % (3298257)------------------------------
% 2.97/1.25 % (3298250)------------------------------
% 2.97/1.25 % (3298250)------------------------------
% 2.97/1.25 % (3298247)------------------------------
% 2.97/1.25 % (3298247)------------------------------
% 2.97/1.25 % (3298249)Refutation found. Thanks to Tanya!
% 2.97/1.25 % SZS status Unsatisfiable for theBenchmark
% 2.97/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.44 % (3298249)------------------------------
% 3.55/1.44 % (3298249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.44 % (3298249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.44 % (3298249)CaDiCaL version: 2.1.3
% 3.55/1.44 % (3298249)Termination reason: Refutation
% 3.55/1.44 % (3298249)Time elapsed: 0.017 s
% 3.55/1.44 % (3298249)Peak memory usage: 90 MB
% 3.55/1.44 % (3298249)Instructions burned: 26 (million)
% 3.55/1.44 % (3298249)------------------------------
% 3.55/1.44 % (3298249)------------------------------
% 3.55/1.44 % (3298239)Success in time 0.417 s
% 3.55/1.44 % Vampire exiting
%------------------------------------------------------------------------------