%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP241-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 10:13:25 AM UTC 2026
% Result : Unsatisfiable 0.60s 0.98s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 55
% Syntax : Number of formulae : 271 ( 16 unt; 16 def)
% Number of atoms : 751 ( 280 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 834 ( 354 ~; 464 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 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 : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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,
( inverse(sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = inverse(sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = inverse(sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = inverse(sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| inverse(sk_c7) != sk_c8
| 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
| 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/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| sk_c8 != inverse(sk_c7)
| 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_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,[],[f75]) ).
fof(f77,plain,
! [X2,X3,X0,X4,X5] :
( inverse(sk_c8) != sk_c7
| sk_c8 != inverse(sk_c7)
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| 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,[],[f76]) ).
fof(f78,plain,
! [X2,X3,X0,X5] :
( inverse(sk_c8) != sk_c7
| sk_c8 != inverse(sk_c7)
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| 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,[],[f77]) ).
fof(f80,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(f81,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f84,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_3
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl0_4
<=> sk_c8 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f91,plain,
( sk_c8 != inverse(sk_c7)
| spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl0_5
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f95,plain,
( inverse(sk_c8) != sk_c7
| spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_1
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f78,f93,f89,f86,f80,f83,f80]) ).
fof(f98,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f100,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f102,definition,
( spl0_7
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f104,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f74,f102,f98]) ).
fof(f107,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f109,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f72,f102,f107]) ).
fof(f112,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f114,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f70,f102,f112]) ).
fof(f117,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f119,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f68,f102,f117]) ).
fof(f122,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f124,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f66,f102,f122]) ).
fof(f127,definition,
( spl0_12
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f129,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f64,f127,f98]) ).
fof(f131,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f62,f127,f107]) ).
fof(f132,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f60,f127,f112]) ).
fof(f133,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f58,f127,f117]) ).
fof(f134,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f56,f127,f122]) ).
fof(f136,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f138,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f54,f136,f98]) ).
fof(f140,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f136,f107]) ).
fof(f141,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f136,f112]) ).
fof(f142,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f136,f117]) ).
fof(f143,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f136,f122]) ).
fof(f145,definition,
( spl0_14
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f147,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f145,f98]) ).
fof(f149,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f145,f107]) ).
fof(f150,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f145,f112]) ).
fof(f151,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f145,f117]) ).
fof(f152,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f145,f122]) ).
fof(f154,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f156,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f154,f98]) ).
fof(f158,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f154,f107]) ).
fof(f159,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f154,f112]) ).
fof(f160,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f154,f117]) ).
fof(f161,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f154,f122]) ).
fof(f162,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f89,f98]) ).
fof(f163,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f89,f107]) ).
fof(f164,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f89,f112]) ).
fof(f165,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f89,f117]) ).
fof(f166,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f89,f122]) ).
fof(f167,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f93,f98]) ).
fof(f168,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f93,f107]) ).
fof(f169,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f93,f112]) ).
fof(f170,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f93,f117]) ).
fof(f171,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f93,f122]) ).
fof(f172,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f3,f100]) ).
fof(f173,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f124]) ).
fof(f176,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f178,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f172]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f182,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f190,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f181,f109]) ).
fof(f196,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f190,f114]) ).
fof(f220,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f182,f173]) ).
fof(f222,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f182,f114]) ).
fof(f224,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f182,f119]) ).
fof(f233,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f224,f124]) ).
fof(f234,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f222,f196]) ).
fof(f238,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f233,f196]) ).
fof(f239,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f234,f3]) ).
fof(f243,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f182,f238]) ).
fof(f245,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f243,f3]) ).
fof(f247,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f245,f239]) ).
fof(f253,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f220,f239]) ).
fof(f261,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f253,f247]) ).
fof(f262,plain,
( identity = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f261,f3]) ).
fof(f263,plain,
( sk_c8 = sk_c4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f262,f245]) ).
fof(f267,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f124,f263]) ).
fof(f288,plain,
( sk_c8 != sk_c7
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f95,f267]) ).
fof(f292,plain,
( $false
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f288,f196]) ).
fof(f293,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f294,plain,
( sk_c8 != inverse(sk_c8)
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f91,f196]) ).
fof(f296,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f294,f267]) ).
fof(f297,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f314,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c8)
| inverse(X0) != sk_c7 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f87,f196]) ).
fof(f315,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c8) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f314,f196]) ).
fof(f316,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f315,f100]) ).
fof(f321,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f316]) ).
fof(f325,plain,
( sk_c8 != sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f321,f109]) ).
fof(f328,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f325,f247]) ).
fof(f329,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f330,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f81,f196]) ).
fof(f331,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f330,f100]) ).
fof(f336,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f331]) ).
fof(f339,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f336,f181]) ).
fof(f340,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f354,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f182,f129]) ).
fof(f356,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f354,f104]) ).
fof(f370,plain,
( sk_c7 != multiply(sk_c8,sk_c3)
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f81,f129]) ).
fof(f383,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f370,f138]) ).
fof(f394,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f383,f104]) ).
fof(f395,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f407,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f87,f156]) ).
fof(f408,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f407]) ).
fof(f410,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f408,f147]) ).
fof(f411,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f420,definition,
( spl0_21
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f422,plain,
( sk_c8 != sk_c7
| spl0_21 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f432,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f84,f124]) ).
fof(f434,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f84,f147]) ).
fof(f438,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f432]) ).
fof(f440,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f434,f156]) ).
fof(f444,plain,
( ~ spl0_21
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f440,f154,f145,f83,f420]) ).
fof(f450,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f438,f122,f83,f117]) ).
fof(f455,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f356,f138]) ).
fof(f462,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f455,f422]) ).
fof(f463,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f462]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f96]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f105]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f110]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f115]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f120]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f125]) ).
cnf(s8,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f130]) ).
cnf(s9,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f131]) ).
cnf(s10,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f132]) ).
cnf(s11,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s12,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f134]) ).
cnf(s13,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s14,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s15,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s16,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f142]) ).
cnf(s17,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f143]) ).
cnf(s18,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s19,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s20,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s21,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s22,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f152]) ).
cnf(s23,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s24,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s25,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s26,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s27,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f161]) ).
cnf(s28,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f162]) ).
cnf(s29,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f163]) ).
cnf(s30,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f164]) ).
cnf(s31,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f165]) ).
cnf(s32,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f166]) ).
cnf(s33,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f167]) ).
cnf(s34,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f168]) ).
cnf(s35,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f169]) ).
cnf(s36,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f170]) ).
cnf(s37,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f171]) ).
cnf(s38,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f293]) ).
cnf(s39,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f297]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f329]) ).
cnf(s46,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f340]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f395]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f411]) ).
cnf(s56,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f444]) ).
cnf(s58,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f450]) ).
cnf(s60,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f463]) ).
cnf(s61,plain,
spl0_4,
inference(rat,[],[s39,s28,s29,s30,s31,s32]) ).
cnf(s62,plain,
spl0_5,
inference(rat,[],[s38,s33,s34,s35,s36,s37]) ).
cnf(s64,plain,
( spl0_11
| ~ spl0_3 ),
inference(rat,[],[s52,s22,s27]) ).
cnf(s65,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s52,s21,s26]) ).
cnf(s66,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s52,s20,s25]) ).
cnf(s67,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s52,s19,s24]) ).
cnf(s68,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(rat,[],[s52,s18,s23,s45]) ).
cnf(s69,plain,
~ spl0_3,
inference(rat,[],[s68,s67,s66,s65,s64]) ).
cnf(s71,plain,
( spl0_11
| spl0_21 ),
inference(rat,[],[s60,s7,s12,s17]) ).
cnf(s72,plain,
( spl0_21
| ~ spl0_2 ),
inference(rat,[],[s60,s6,s11,s16,s58,s71]) ).
cnf(s73,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s58,s26,s27]) ).
cnf(s74,plain,
( ~ spl0_15
| ~ spl0_21
| ~ spl0_2 ),
inference(rat,[],[s58,s21,s22,s56]) ).
cnf(s75,plain,
~ spl0_2,
inference(rat,[],[s74,s73,s72]) ).
cnf(s76,plain,
spl0_1,
inference(rat,[],[s2,s61,s62,s69,s75]) ).
cnf(s80,plain,
spl0_8,
inference(rat,[],[s51,s4,s9,s14,s76]) ).
cnf(s81,plain,
spl0_6,
inference(rat,[],[s51,s3,s8,s13,s76]) ).
cnf(s82,plain,
spl0_9,
inference(rat,[],[s51,s5,s10,s15,s76]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s46,s80,s76,s82,s81]) ).
fof(f464,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP241-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 09:39:25 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.98 % (984148)Input is clausal, will run a generic CNF schedule.
% 0.60/0.98 % (984158)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3383995894:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.60/0.98 % (984155)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2431782935:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.60/0.98 % (984154)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4032136526:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.60/0.98 % (984156)lrs+10_1_sil=8000:sp=occurrence:random_seed=1209275193:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.60/0.98 % (984159)dis-21_1_sil=8000:lcm=predicate:random_seed=1171969442: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)
% 0.60/0.98 % (984157)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3919694834:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.60/0.98 % (984153)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=2624980099:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.60/0.98 % (984159)Refutation not found, incomplete strategy
% 0.60/0.98 % (984159)------------------------------
% 0.60/0.98 % (984159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.60/0.98 % (984158)First to succeed.
% 0.60/0.98 % (984159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.98 % (984159)CaDiCaL version: 2.1.3
% 0.60/0.98 % (984159)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.98 % (984159)Time elapsed: 0.002 s
% 0.60/0.98 % (984159)Peak memory usage: 88 MB
% 0.60/0.98 % (984159)Instructions burned: 2 (million)
% 0.60/0.98 % (984156)Refutation not found, incomplete strategy
% 0.60/0.98 % (984156)------------------------------
% 0.60/0.98 % (984156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.60/0.98 % (984156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.98 % (984156)CaDiCaL version: 2.1.3
% 0.60/0.98 % (984156)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.98 % (984156)Time elapsed: 0.003 s
% 0.60/0.98 % (984156)Peak memory usage: 88 MB
% 0.60/0.98 % (984156)Instructions burned: 3 (million)
% 0.60/0.98 % (984158)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-984148"
% 0.60/0.98 % (984157)Instruction limit reached!
% 0.60/0.98 % (984157)------------------------------
% 0.60/0.98 % (984157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.60/0.98 % (984157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.98 % (984157)CaDiCaL version: 2.1.3
% 0.60/0.98 % (984157)Termination reason: Instruction limit
% 0.60/0.98 % (984157)Termination phase: Saturation
% 0.60/0.98 % (984157)Time elapsed: 0.067 s
% 0.60/0.98 % (984157)Peak memory usage: 89 MB
% 0.60/0.98 % (984157)Instructions burned: 114 (million)
% 0.60/0.98 % (984158)Refutation found. Thanks to Tanya!
% 0.60/0.98 % SZS status Unsatisfiable for theBenchmark
% 0.60/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.18 % (984158)------------------------------
% 2.78/1.18 % (984158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.18 % (984158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.18 % (984158)CaDiCaL version: 2.1.3
% 2.78/1.18 % (984158)Termination reason: Refutation
% 2.78/1.18 % (984158)Time elapsed: 0.007 s
% 2.78/1.18 % (984158)Peak memory usage: 89 MB
% 2.78/1.18 % (984158)Instructions burned: 17 (million)
% 2.78/1.18 % (984158)------------------------------
% 2.78/1.18 % (984158)------------------------------
% 2.78/1.18 % (984148)Success in time 0.338 s
% 2.78/1.18 % Vampire exiting
%------------------------------------------------------------------------------