%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP233-1 : 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 : n019.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 10:13:24 AM UTC 2026
% Result : Unsatisfiable 2.66s 1.27s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 51
% Syntax : Number of formulae : 286 ( 18 unt; 17 def)
% Number of atoms : 852 ( 288 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1028 ( 462 ~; 549 |; 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 : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4,X5] :
( inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X5] :
( inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f67]) ).
fof(f70,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f71,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f74,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_3
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f77,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_4
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( inverse(sk_c8) != sk_c7
| spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_1
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f68,f79,f76,f70,f73,f70]) ).
fof(f84,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f86,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f64,f88,f84]) ).
fof(f93,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f95,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f62,f88,f93]) ).
fof(f98,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f60,f88,f98]) ).
fof(f103,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f105,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f58,f88,f103]) ).
fof(f108,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f110,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f56,f88,f108]) ).
fof(f113,definition,
( spl0_11
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f115,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f54,f113,f84]) ).
fof(f117,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f52,f113,f93]) ).
fof(f118,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f50,f113,f98]) ).
fof(f119,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f48,f113,f103]) ).
fof(f120,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f46,f113,f108]) ).
fof(f122,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f124,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f122,f84]) ).
fof(f126,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f122,f93]) ).
fof(f127,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f122,f98]) ).
fof(f128,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f122,f103]) ).
fof(f129,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f122,f108]) ).
fof(f131,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f133,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f131,f84]) ).
fof(f135,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f131,f93]) ).
fof(f136,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f131,f98]) ).
fof(f137,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f131,f103]) ).
fof(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f131,f108]) ).
fof(f140,definition,
( spl0_14
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f142,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f24,f140,f84]) ).
fof(f144,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f140,f93]) ).
fof(f145,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f140,f98]) ).
fof(f146,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f140,f103]) ).
fof(f147,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f140,f108]) ).
fof(f148,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f79,f84]) ).
fof(f149,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f79,f93]) ).
fof(f150,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f79,f98]) ).
fof(f151,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f79,f103]) ).
fof(f152,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f79,f108]) ).
fof(f153,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f86]) ).
fof(f154,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f110]) ).
fof(f157,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f159,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f153]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f159,f1]) ).
fof(f163,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f157,f1]) ).
fof(f171,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f162,f95]) ).
fof(f177,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f171,f100]) ).
fof(f201,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f163,f154]) ).
fof(f203,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f163,f100]) ).
fof(f205,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f163,f105]) ).
fof(f214,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f205,f110]) ).
fof(f215,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f203,f177]) ).
fof(f219,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f214,f177]) ).
fof(f220,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f215,f3]) ).
fof(f224,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f163,f219]) ).
fof(f226,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f224,f3]) ).
fof(f228,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f226,f220]) ).
fof(f234,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f201,f220]) ).
fof(f242,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f234,f228]) ).
fof(f243,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f242,f3]) ).
fof(f244,plain,
( sk_c8 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f243,f226]) ).
fof(f248,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f110,f244]) ).
fof(f269,plain,
( sk_c8 != sk_c7
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f81,f248]) ).
fof(f273,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f269,f177]) ).
fof(f274,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f275,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f77,f177]) ).
fof(f277,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f275,f86]) ).
fof(f282,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f277]) ).
fof(f286,plain,
( sk_c8 != sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f282,f95]) ).
fof(f289,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f286,f228]) ).
fof(f290,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f291,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f71,f177]) ).
fof(f292,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f291,f86]) ).
fof(f297,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f300,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f297,f162]) ).
fof(f301,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f325,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_6 ),
inference(superposition,[],[f3,f90]) ).
fof(f327,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_13 ),
inference(superposition,[],[f3,f133]) ).
fof(f328,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f163,f115]) ).
fof(f330,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f328,f90]) ).
fof(f331,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f163,f124]) ).
fof(f333,plain,
( sk_c3 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f331,f80]) ).
fof(f335,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f142]) ).
fof(f340,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f77,f142]) ).
fof(f342,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f340]) ).
fof(f344,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f342,f133]) ).
fof(f345,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f352,definition,
( spl0_16
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f353,plain,
( sk_c8 = sk_c7
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f371,plain,
( identity != sk_c8
| sk_c8 != inverse(inverse(sk_c7))
| ~ spl0_2 ),
inference(superposition,[],[f74,f3]) ).
fof(f372,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f74,f105]) ).
fof(f373,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f372]) ).
fof(f377,definition,
( spl0_19
<=> sk_c8 = inverse(inverse(sk_c7)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f379,plain,
( sk_c8 != inverse(inverse(sk_c7))
| spl0_19 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_20
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f383,plain,
( identity != sk_c8
| spl0_20 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f371,f73,f381,f377]) ).
fof(f386,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f373,f103,f73,f108]) ).
fof(f387,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_6 ),
inference(superposition,[],[f163,f325]) ).
fof(f390,plain,
( sk_c2 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f387,f80]) ).
fof(f391,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_13 ),
inference(superposition,[],[f163,f327]) ).
fof(f394,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f391,f80]) ).
fof(f408,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f124,f330]) ).
fof(f410,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f163,f330]) ).
fof(f412,plain,
( identity = sk_c3
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f410,f3]) ).
fof(f414,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f408,f122,f113,f88,f352]) ).
fof(f420,plain,
( sk_c8 != sk_c3
| ~ spl0_6
| ~ spl0_11
| spl0_20 ),
inference(superposition,[],[f383,f412]) ).
fof(f423,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f335,f353]) ).
fof(f431,plain,
( sk_c3 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f333,f353]) ).
fof(f453,plain,
( sk_c2 = multiply(sk_c7,sk_c3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f390,f412]) ).
fof(f454,plain,
( multiply(sk_c8,sk_c3) = sk_c2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f453,f353]) ).
fof(f455,plain,
( sk_c7 = sk_c2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f454,f124]) ).
fof(f456,plain,
( sk_c8 = sk_c2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f455,f353]) ).
fof(f502,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(superposition,[],[f90,f456]) ).
fof(f504,plain,
( sk_c1 = multiply(sk_c7,sk_c3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f394,f412]) ).
fof(f505,plain,
( sk_c1 = multiply(sk_c8,sk_c3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f504,f353]) ).
fof(f506,plain,
( sk_c7 = sk_c1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f505,f124]) ).
fof(f507,plain,
( sk_c8 = sk_c1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f506,f353]) ).
fof(f529,plain,
( sk_c3 = multiply(sk_c1,sk_c3)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f423,f431]) ).
fof(f537,plain,
( sk_c3 = multiply(sk_c8,sk_c3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f529,f507]) ).
fof(f540,plain,
( sk_c7 = sk_c3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f537,f124]) ).
fof(f541,plain,
( sk_c8 = sk_c3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f540,f353]) ).
fof(f542,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f541,f420]) ).
fof(f543,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f544,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_16
| spl0_19 ),
inference(forward_demodulation,[],[f379,f353]) ).
fof(f547,plain,
( sk_c8 != inverse(sk_c7)
| ~ spl0_4
| ~ spl0_16
| spl0_19 ),
inference(forward_demodulation,[],[f544,f80]) ).
fof(f557,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_4
| ~ spl0_16
| spl0_19 ),
inference(forward_demodulation,[],[f547,f353]) ).
fof(f559,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f557,f502]) ).
fof(f560,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f563,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f71,f353]) ).
fof(f571,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f563,f90]) ).
fof(f572,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f571]) ).
fof(f576,plain,
( sk_c8 != multiply(sk_c8,sk_c3)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f572,f115]) ).
fof(f582,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f576,f330]) ).
fof(f583,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f582]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f91]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f96]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f106]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f111]) ).
cnf(s8,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f116]) ).
cnf(s9,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f117]) ).
cnf(s10,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f118]) ).
cnf(s11,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s12,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f120]) ).
cnf(s13,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f125]) ).
cnf(s14,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f126]) ).
cnf(s15,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f127]) ).
cnf(s16,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s17,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f129]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f134]) ).
cnf(s19,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s20,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s21,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s22,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s23,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s24,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s25,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s26,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s27,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s28,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f148]) ).
cnf(s29,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s30,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f150]) ).
cnf(s31,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f151]) ).
cnf(s32,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s33,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f274]) ).
cnf(s36,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f290]) ).
cnf(s37,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f301]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f345]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f384]) ).
cnf(s49,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f386]) ).
cnf(s50,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f414]) ).
cnf(s52,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f543]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f560]) ).
cnf(s57,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f583]) ).
cnf(s61,plain,
spl0_4,
inference(rat,[],[s33,s28,s29,s30,s31,s32]) ).
cnf(s63,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s43,s22,s27]) ).
cnf(s64,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s43,s21,s26]) ).
cnf(s65,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s43,s20,s25]) ).
cnf(s66,plain,
( spl0_7
| ~ spl0_3 ),
inference(rat,[],[s43,s19,s24]) ).
cnf(s67,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9 ),
inference(rat,[],[s43,s18,s23,s36]) ).
cnf(s68,plain,
~ spl0_3,
inference(rat,[],[s67,s66,s65,s64,s63]) ).
cnf(s69,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s47,s52,s54,s50,s7,s12,s17,s22,s27,s61]) ).
cnf(s70,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s47,s52,s54,s50,s6,s11,s16,s21,s26,s49,s61]) ).
cnf(s71,plain,
~ spl0_2,
inference(rat,[],[s70,s69]) ).
cnf(s72,plain,
spl0_1,
inference(rat,[],[s2,s61,s68,s71]) ).
cnf(s73,plain,
( ~ spl0_11
| ~ spl0_6
| ~ spl0_12 ),
inference(rat,[],[s57,s50,s72]) ).
cnf(s75,plain,
spl0_8,
inference(rat,[],[s73,s5,s10,s15]) ).
cnf(s76,plain,
spl0_7,
inference(rat,[],[s73,s4,s9,s14]) ).
cnf(s77,plain,
~ spl0_5,
inference(rat,[],[s37,s72,s75,s76]) ).
cnf(s80,plain,
spl0_12,
inference(rat,[],[s13,s77]) ).
cnf(s81,plain,
spl0_11,
inference(rat,[],[s8,s77]) ).
cnf(s82,plain,
spl0_6,
inference(rat,[],[s3,s77]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s73,s80,s82,s81]) ).
fof(f592,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP233-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:38:19 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.66/1.27 % (2838697)Input is clausal, will run a generic CNF schedule.
% 2.66/1.27 % (2838778)lrs+10_1_sil=8000:sp=occurrence:random_seed=2612899738:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.27 % (2838778)Refutation not found, incomplete strategy
% 2.66/1.27 % (2838778)------------------------------
% 2.66/1.27 % (2838778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27 % (2838778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27 % (2838778)CaDiCaL version: 2.1.3
% 2.66/1.27 % (2838778)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.27 % (2838778)Time elapsed: 0.002 s
% 2.66/1.27 % (2838778)Peak memory usage: 88 MB
% 2.66/1.27 % (2838778)Instructions burned: 3 (million)
% 2.66/1.27 % (2838780)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3018922871:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.27 % (2838781)dis-21_1_sil=8000:lcm=predicate:random_seed=1249835340: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)
% 2.66/1.27 % (2838777)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1013048478:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.27 % (2838776)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=693933910:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.27 % (2838775)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=640194994:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.27 % (2838781)Refutation not found, incomplete strategy
% 2.66/1.27 % (2838781)------------------------------
% 2.66/1.27 % (2838781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27 % (2838781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27 % (2838781)CaDiCaL version: 2.1.3
% 2.66/1.27 % (2838781)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.27 % (2838781)Time elapsed: 0.002 s
% 2.66/1.27 % (2838781)Peak memory usage: 88 MB
% 2.66/1.27 % (2838781)Instructions burned: 1 (million)
% 2.66/1.27 % (2838779)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1399373268:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.27 % (2838780)First to succeed.
% 2.66/1.27 % (2838780)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2838697"
% 2.66/1.27 % (2838779)Instruction limit reached!
% 2.66/1.27 % (2838779)------------------------------
% 2.66/1.27 % (2838779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27 % (2838779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27 % (2838779)CaDiCaL version: 2.1.3
% 2.66/1.27 % (2838779)Termination reason: Instruction limit
% 2.66/1.27 % (2838779)Termination phase: Saturation
% 2.66/1.27 % (2838779)Time elapsed: 0.069 s
% 2.66/1.27 % (2838779)Peak memory usage: 89 MB
% 2.66/1.27 % (2838779)Instructions burned: 114 (million)
% 2.66/1.27 % (2838778)------------------------------
% 2.66/1.27 % (2838778)------------------------------
% 2.66/1.27 % (2838789)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=856285583:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.66/1.27 % (2838789)Refutation not found, incomplete strategy
% 2.66/1.27 % (2838789)------------------------------
% 2.66/1.27 % (2838789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27 % (2838789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27 % (2838789)CaDiCaL version: 2.1.3
% 2.66/1.27 % (2838789)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.27 % (2838789)Time elapsed: 0.003 s
% 2.66/1.27 % (2838789)Peak memory usage: 88 MB
% 2.66/1.27 % (2838789)Instructions burned: 3 (million)
% 2.66/1.27 % (2838790)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3193285487:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.66/1.27 % (2838790)Refutation not found, incomplete strategy
% 2.66/1.27 % (2838790)------------------------------
% 2.66/1.27 % (2838790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27 % (2838790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27 % (2838790)CaDiCaL version: 2.1.3
% 2.66/1.27 % (2838790)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.27 % (2838790)Time elapsed: 0.002 s
% 2.66/1.27 % (2838790)Peak memory usage: 88 MB
% 2.66/1.27 % (2838790)Instructions burned: 3 (million)
% 2.66/1.27 % (2838781)------------------------------
% 2.66/1.27 % (2838781)------------------------------
% 2.66/1.27 % (2838780)Refutation found. Thanks to Tanya!
% 2.66/1.27 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.36 % (2838780)------------------------------
% 3.41/1.36 % (2838780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.36 % (2838780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.36 % (2838780)CaDiCaL version: 2.1.3
% 3.41/1.36 % (2838780)Termination reason: Refutation
% 3.41/1.36 % (2838780)Time elapsed: 0.014 s
% 3.41/1.36 % (2838780)Peak memory usage: 89 MB
% 3.41/1.36 % (2838780)Instructions burned: 21 (million)
% 3.41/1.36 % (2838780)------------------------------
% 3.41/1.36 % (2838780)------------------------------
% 3.41/1.36 % (2838697)Success in time 0.404 s
% 3.41/1.36 % Vampire exiting
%------------------------------------------------------------------------------