%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP321-1 : 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 : 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 10:13:38 AM UTC 2026
% Result : Unsatisfiable 1.96s 1.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 50
% Syntax : Number of formulae : 317 ( 19 unt; 16 def)
% Number of atoms : 1037 ( 307 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1358 ( 638 ~; 704 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 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/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_c7,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X4,sk_c7) != sk_c6
| inverse(X4) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(sk_c6,sk_c7) ),
inference(equality_resolution,[],[f66]) ).
fof(f69,definition,
( spl0_1
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( sk_c8 != multiply(sk_c6,sk_c7)
| spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl0_2
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f74,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_3
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f77,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_4
<=> ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_5
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_6
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f86,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f67,f85,f82,f79,f76,f73,f69]) ).
fof(f90,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f64,f90,f69]) ).
fof(f95,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f62,f90,f95]) ).
fof(f100,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f102,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f60,f90,f100]) ).
fof(f105,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f58,f90,f105]) ).
fof(f110,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f112,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f56,f90,f110]) ).
fof(f115,definition,
( spl0_12
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f117,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f54,f115,f69]) ).
fof(f119,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f52,f115,f95]) ).
fof(f120,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f50,f115,f100]) ).
fof(f121,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f48,f115,f105]) ).
fof(f122,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f46,f115,f110]) ).
fof(f124,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f126,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_1
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f124,f69]) ).
fof(f128,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f124,f95]) ).
fof(f129,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f40,f124,f100]) ).
fof(f130,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f38,f124,f105]) ).
fof(f131,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f36,f124,f110]) ).
fof(f133,definition,
( spl0_14
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f135,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_1
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f133,f69]) ).
fof(f137,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f133,f95]) ).
fof(f138,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f133,f100]) ).
fof(f139,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f28,f133,f105]) ).
fof(f140,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f26,f133,f110]) ).
fof(f142,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f144,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f142,f69]) ).
fof(f146,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f142,f95]) ).
fof(f147,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f142,f100]) ).
fof(f148,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f142,f105]) ).
fof(f149,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f16,f142,f110]) ).
fof(f150,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f85,f69]) ).
fof(f151,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f85,f95]) ).
fof(f152,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f85,f100]) ).
fof(f153,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f85,f105]) ).
fof(f154,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f85,f110]) ).
fof(f155,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f3,f92]) ).
fof(f158,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f160,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_15 ),
inference(superposition,[],[f4,f144]) ).
fof(f161,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl0_6 ),
inference(superposition,[],[f4,f86]) ).
fof(f165,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f158,f1]) ).
fof(f167,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f155]) ).
fof(f168,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f171,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f168,f117]) ).
fof(f174,plain,
( sk_c7 = sk_c8
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f171,f126]) ).
fof(f182,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f126,f174]) ).
fof(f183,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f117,f174]) ).
fof(f184,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f86,f174]) ).
fof(f191,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c8,sk_c3)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f160,f182]) ).
fof(f193,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f191,f126]) ).
fof(f255,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_15 ),
inference(superposition,[],[f165,f144]) ).
fof(f261,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f165,f126]) ).
fof(f269,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f261,f174]) ).
fof(f273,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f255,f174]) ).
fof(f280,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f269,f3]) ).
fof(f282,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f273,f135]) ).
fof(f293,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f160,f282]) ).
fof(f294,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f165,f282]) ).
fof(f296,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f294,f3]) ).
fof(f297,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f293,f174]) ).
fof(f300,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f297,f184]) ).
fof(f301,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f300,f144]) ).
fof(f302,plain,
( sk_c7 = sk_c6
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f301,f174]) ).
fof(f303,plain,
( sk_c7 = sk_c3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f296,f280]) ).
fof(f308,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f71,f302]) ).
fof(f309,plain,
( sk_c8 != sk_c6
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f308,f184]) ).
fof(f310,plain,
( sk_c7 != sk_c8
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f309,f302]) ).
fof(f311,plain,
( $false
| spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f310,f174]) ).
fof(f312,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f314,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f74,f302]) ).
fof(f317,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f314,f135]) ).
fof(f318,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f317]) ).
fof(f319,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f318,f193]) ).
fof(f320,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f323,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f77,f174]) ).
fof(f324,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f323,f174]) ).
fof(f330,plain,
( sk_c7 != sk_c8
| sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f324,f92]) ).
fof(f335,plain,
( sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f330,f174]) ).
fof(f336,plain,
( sk_c7 != sk_c3
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f335,f183]) ).
fof(f337,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f336,f303]) ).
fof(f338,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f339,plain,
( ! [X2] :
( sk_c7 != multiply(sk_c7,multiply(X2,sk_c7))
| sk_c8 != inverse(X2) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f80,f174]) ).
fof(f340,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c7,multiply(X2,sk_c7)) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f339,f174]) ).
fof(f341,plain,
( sk_c7 != sk_c8
| sk_c7 != multiply(sk_c7,multiply(sk_c2,sk_c7))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f340,f92]) ).
fof(f345,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c2,sk_c7))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f341,f174]) ).
fof(f347,plain,
( sk_c7 != multiply(sk_c7,sk_c3)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f345,f183]) ).
fof(f350,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f347,f182]) ).
fof(f351,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f352,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f83,f174]) ).
fof(f353,plain,
( sk_c7 != sk_c8
| sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f352,f92]) ).
fof(f358,plain,
( sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f353,f174]) ).
fof(f359,plain,
( sk_c7 != sk_c3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f358,f183]) ).
fof(f360,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f359,f303]) ).
fof(f361,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f375,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f165,f102]) ).
fof(f377,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f375,f97]) ).
fof(f403,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f74,f97]) ).
fof(f407,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f410,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f407,f102]) ).
fof(f411,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f429,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f107]) ).
fof(f431,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f4,f70]) ).
fof(f432,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f165,f112]) ).
fof(f433,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f112]) ).
fof(f434,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f432,f107]) ).
fof(f435,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c4,sk_c8))
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f80,f107]) ).
fof(f438,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c4,sk_c8))
| ~ spl0_4
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f435]) ).
fof(f444,definition,
( spl0_17
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f445,plain,
( sk_c7 = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( sk_c7 != sk_c8
| spl0_17 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f453,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f438,f112]) ).
fof(f460,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f165,f377]) ).
fof(f462,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f460,f3]) ).
fof(f477,plain,
( sk_c7 != sk_c8
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f453,f434]) ).
fof(f479,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c7)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f161,f434]) ).
fof(f480,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f165,f434]) ).
fof(f482,plain,
( identity = sk_c7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f480,f3]) ).
fof(f483,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f479,f70]) ).
fof(f491,plain,
( sk_c7 = sk_c6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f482,f462]) ).
fof(f509,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f431,f491]) ).
fof(f511,plain,
( multiply(sk_c4,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f433,f434]) ).
fof(f519,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f511,f112]) ).
fof(f523,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f86,f483]) ).
fof(f528,plain,
( sk_c7 = sk_c8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f523,f491]) ).
fof(f536,plain,
( ~ spl0_17
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f477,f110,f105,f79,f444]) ).
fof(f537,plain,
( spl0_17
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f528,f110,f105,f100,f95,f85,f69,f444]) ).
fof(f538,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f77,f107]) ).
fof(f541,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f538]) ).
fof(f552,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f541,f112]) ).
fof(f553,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f555,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f112,f445]) ).
fof(f561,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f429,f445]) ).
fof(f565,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f561,f462]) ).
fof(f568,plain,
( sk_c7 = multiply(sk_c7,sk_c4)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f565,f491]) ).
fof(f569,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f83,f445]) ).
fof(f574,plain,
( sk_c7 != sk_c8
| sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f569,f107]) ).
fof(f580,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f574,f445]) ).
fof(f583,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f580,f555]) ).
fof(f584,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f585,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f87,f491]) ).
fof(f586,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f585,f445]) ).
fof(f597,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f165,f568]) ).
fof(f599,plain,
( identity = sk_c4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f597,f3]) ).
fof(f601,plain,
( sk_c6 = sk_c4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f599,f462]) ).
fof(f603,plain,
( sk_c7 = sk_c4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f601,f491]) ).
fof(f605,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f112,f603]) ).
fof(f616,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f605,f445]) ).
fof(f619,plain,
( $false
| spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f616,f586]) ).
fof(f620,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f695,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f509,f519]) ).
fof(f701,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f695,f434]) ).
fof(f702,plain,
( sk_c7 = sk_c8
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f701,f519]) ).
fof(f703,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f702,f446]) ).
fof(f704,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f703]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f93]) ).
cnf(s3,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f98]) ).
cnf(s4,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f103]) ).
cnf(s5,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f108]) ).
cnf(s6,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f113]) ).
cnf(s7,plain,
( spl0_1
| spl0_12 ),
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s9,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s10,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f121]) ).
cnf(s11,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s12,plain,
( spl0_1
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s13,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s14,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s15,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f130]) ).
cnf(s16,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f131]) ).
cnf(s17,plain,
( spl0_1
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s18,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s19,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s20,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s21,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s22,plain,
( spl0_1
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s23,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s24,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s25,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s26,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s27,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f150]) ).
cnf(s28,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f151]) ).
cnf(s29,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f152]) ).
cnf(s30,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f153]) ).
cnf(s31,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f154]) ).
cnf(s32,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f312]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f320]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f338]) ).
cnf(s37,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f351]) ).
cnf(s39,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f361]) ).
cnf(s41,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f411]) ).
cnf(s47,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f536]) ).
cnf(s48,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f537]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f553]) ).
cnf(s54,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f584]) ).
cnf(s58,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f620]) ).
cnf(s60,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f704]) ).
cnf(s61,plain,
spl0_1,
inference(rat,[],[s32,s2,s7,s12,s17,s22,s27]) ).
cnf(s62,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(rat,[],[s60,s58,s61]) ).
cnf(s63,plain,
spl0_6,
inference(rat,[],[s62,s28,s29,s30,s31]) ).
cnf(s65,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s39,s6,s11,s16,s21,s26]) ).
cnf(s66,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s39,s5,s10,s15,s20,s25]) ).
cnf(s67,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s39,s4,s9,s14,s19,s24]) ).
cnf(s68,plain,
( ~ spl0_10
| ~ spl0_5
| ~ spl0_11 ),
inference(rat,[],[s39,s3,s8,s13,s18,s23,s48,s67,s54,s63,s61]) ).
cnf(s69,plain,
~ spl0_5,
inference(rat,[],[s68,s66,s65]) ).
cnf(s71,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s37,s6,s11,s16]) ).
cnf(s72,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s37,s5,s10,s15]) ).
cnf(s73,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s37,s4,s9,s14]) ).
cnf(s74,plain,
( ~ spl0_10
| ~ spl0_4
| ~ spl0_11 ),
inference(rat,[],[s37,s3,s8,s13,s48,s73,s47,s63,s61]) ).
cnf(s75,plain,
~ spl0_4,
inference(rat,[],[s74,s72,s71]) ).
cnf(s76,plain,
( spl0_11
| ~ spl0_3 ),
inference(rat,[],[s35,s6,s11,s16,s21,s26]) ).
cnf(s77,plain,
( ~ spl0_11
| ~ spl0_3 ),
inference(rat,[],[s35,s5,s10,s15,s20,s25,s52]) ).
cnf(s78,plain,
~ spl0_3,
inference(rat,[],[s77,s76]) ).
cnf(s79,plain,
spl0_2,
inference(rat,[],[s1,s63,s69,s75,s61,s78]) ).
cnf(s80,plain,
( spl0_9
| ~ spl0_13
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s33,s19,s24,s79,s63]) ).
cnf(s81,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s33,s18,s23,s41,s80,s63,s79]) ).
cnf(s82,plain,
spl0_13,
inference(rat,[],[s41,s13,s14,s79]) ).
cnf(s83,plain,
spl0_12,
inference(rat,[],[s41,s8,s9,s79]) ).
cnf(s84,plain,
~ spl0_7,
inference(rat,[],[s81,s82,s83]) ).
cnf(s85,plain,
spl0_9,
inference(rat,[],[s4,s84]) ).
cnf(s86,plain,
spl0_8,
inference(rat,[],[s3,s84]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s41,s79,s85,s86]) ).
fof(f705,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP321-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:53:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 1.96/1.31 % (1416897)Input is clausal, will run a generic CNF schedule.
% 1.96/1.31 % (1416906)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1412872933:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.96/1.31 % (1416902)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=94575063:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.96/1.31 % (1416907)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2240341618:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.96/1.31 % (1416903)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2492728821:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.96/1.31 % (1416905)lrs+10_1_sil=8000:sp=occurrence:random_seed=215487215:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.96/1.31 % (1416904)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2838115334:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.96/1.31 % (1416908)dis-21_1_sil=8000:lcm=predicate:random_seed=4207647619: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)
% 1.96/1.31 % (1416908)Refutation not found, incomplete strategy
% 1.96/1.31 % (1416908)------------------------------
% 1.96/1.31 % (1416908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.31 % (1416908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.31 % (1416908)CaDiCaL version: 2.1.3
% 1.96/1.31 % (1416908)Termination reason: Refutation not found, incomplete strategy
% 1.96/1.31 % (1416908)Time elapsed: 0.002 s
% 1.96/1.31 % (1416908)Peak memory usage: 88 MB
% 1.96/1.31 % (1416908)Instructions burned: 2 (million)
% 1.96/1.31 % (1416906)Instruction limit reached!
% 1.96/1.31 % (1416906)------------------------------
% 1.96/1.31 % (1416906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.31 % (1416906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.31 % (1416906)CaDiCaL version: 2.1.3
% 1.96/1.31 % (1416906)Termination reason: Instruction limit
% 1.96/1.31 % (1416906)Termination phase: Saturation
% 1.96/1.31 % (1416906)Time elapsed: 0.035 s
% 1.96/1.31 % (1416906)Peak memory usage: 89 MB
% 1.96/1.31 % (1416906)Instructions burned: 114 (million)
% 1.96/1.31 % (1416907)First to succeed.
% 1.96/1.31 % (1416907)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1416897"
% 1.96/1.31 % (1416905)Instruction limit reached!
% 1.96/1.31 % (1416905)------------------------------
% 1.96/1.31 % (1416905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.31 % (1416905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.31 % (1416905)CaDiCaL version: 2.1.3
% 1.96/1.31 % (1416905)Termination reason: Instruction limit
% 1.96/1.31 % (1416905)Termination phase: Saturation
% 1.96/1.31 % (1416905)Time elapsed: 0.052 s
% 1.96/1.31 % (1416905)Peak memory usage: 88 MB
% 1.96/1.31 % (1416905)Instructions burned: 108 (million)
% 1.96/1.31 % (1416916)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=2348647744:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 1.96/1.31 % (1416916)Instruction limit reached!
% 1.96/1.31 % (1416916)------------------------------
% 1.96/1.31 % (1416916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.31 % (1416916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.31 % (1416916)CaDiCaL version: 2.1.3
% 1.96/1.31 % (1416916)Termination reason: Instruction limit
% 1.96/1.31 % (1416916)Termination phase: Saturation
% 1.96/1.31 % (1416916)Time elapsed: 0.035 s
% 1.96/1.31 % (1416916)Peak memory usage: 89 MB
% 1.96/1.31 % (1416916)Instructions burned: 145 (million)
% 1.96/1.31 % (1416917)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=644868823: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)
% 1.96/1.31 % (1416917)Refutation not found, incomplete strategy
% 1.96/1.31 % (1416917)------------------------------
% 1.96/1.31 % (1416917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.31 % (1416917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.31 % (1416917)CaDiCaL version: 2.1.3
% 1.96/1.31 % (1416917)Termination reason: Refutation not found, incomplete strategy
% 1.96/1.31 % (1416917)Time elapsed: 0.004 s
% 1.96/1.31 % (1416917)Peak memory usage: 88 MB
% 1.96/1.31 % (1416917)Instructions burned: 4 (million)
% 1.96/1.31 % (1416908)------------------------------
% 1.96/1.31 % (1416908)------------------------------
% 1.96/1.31 % (1416907)Refutation found. Thanks to Tanya!
% 1.96/1.31 % SZS status Unsatisfiable for theBenchmark
% 1.96/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (1416907)------------------------------
% 0.17/1.50 % (1416907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1416907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1416907)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1416907)Termination reason: Refutation
% 0.17/1.50 % (1416907)Time elapsed: 0.020 s
% 0.17/1.50 % (1416907)Peak memory usage: 89 MB
% 0.17/1.50 % (1416907)Instructions burned: 27 (million)
% 0.17/1.50 % (1416907)------------------------------
% 0.17/1.50 % (1416907)------------------------------
% 0.17/1.50 % (1416897)Success in time 0.453 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------