TSTP Solution File: ALG084+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG084+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:18:38 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 421 ( 212 unt; 0 def)
% Number of atoms : 1236 ( 933 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 1139 ( 324 ~; 434 |; 364 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1092,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f283,f303,f319,f336,f381,f486,f587,f633,f648,f718,f727,f790,f801,f870,f875,f878,f881,f883,f885,f887,f905,f990,f1001,f1004,f1037,f1076,f1087]) ).
fof(f1087,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1086,plain,
( $false
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1085,f97]) ).
fof(f97,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1085,plain,
( e22 = e23
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1084,f131]) ).
fof(f131,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e21 = op2(e24,e24)
& e22 = op2(e24,e23)
& e20 = op2(e24,e22)
& e23 = op2(e24,e21)
& e24 = op2(e24,e20)
& e22 = op2(e23,e24)
& e21 = op2(e23,e23)
& e24 = op2(e23,e22)
& e20 = op2(e23,e21)
& e23 = op2(e23,e20)
& e23 = op2(e22,e24)
& e20 = op2(e22,e23)
& e21 = op2(e22,e22)
& e24 = op2(e22,e21)
& e22 = op2(e22,e20)
& e20 = op2(e21,e24)
& e24 = op2(e21,e23)
& e23 = op2(e21,e22)
& e22 = op2(e21,e21)
& e21 = op2(e21,e20)
& e24 = op2(e20,e24)
& e23 = op2(e20,e23)
& e22 = op2(e20,e22)
& e21 = op2(e20,e21)
& e20 = op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f1084,plain,
( e23 = op2(e21,e21)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1066,f376]) ).
fof(f376,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl0_9
<=> e23 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1066,plain,
( op2(e21,e21) = h(e11)
| ~ spl0_13 ),
inference(superposition,[],[f193,f826]) ).
fof(f826,plain,
( e21 = h(e13)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f811,f137]) ).
fof(f137,plain,
e21 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f811,plain,
( op2(e22,e22) = h(e13)
| ~ spl0_13 ),
inference(superposition,[],[f187,f624]) ).
fof(f624,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl0_13
<=> e22 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f187,plain,
h(e13) = op2(h(e12),h(e12)),
inference(forward_demodulation,[],[f32,f162]) ).
fof(f162,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e12 = op1(e14,e14)
& e10 = op1(e14,e13)
& e11 = op1(e14,e12)
& e13 = op1(e14,e11)
& e14 = op1(e14,e10)
& e10 = op1(e13,e14)
& e11 = op1(e13,e13)
& e14 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e11 = op1(e12,e14)
& e14 = op1(e12,e13)
& e13 = op1(e12,e12)
& e10 = op1(e12,e11)
& e12 = op1(e12,e10)
& e13 = op1(e11,e14)
& e12 = op1(e11,e13)
& e10 = op1(e11,e12)
& e14 = op1(e11,e11)
& e11 = op1(e11,e10)
& e14 = op1(e10,e14)
& e13 = op1(e10,e13)
& e12 = op1(e10,e12)
& e11 = op1(e10,e11)
& e10 = op1(e10,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f32,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f193,plain,
h(e11) = op2(h(e13),h(e13)),
inference(forward_demodulation,[],[f38,f168]) ).
fof(f168,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f1076,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1075,plain,
( $false
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1074,f91]) ).
fof(f91,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f1074,plain,
( e20 = e22
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1073,f141]) ).
fof(f141,plain,
e20 = op2(e23,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f1073,plain,
( e22 = op2(e23,e21)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1072,f624]) ).
fof(f1072,plain,
( op2(e23,e21) = h(e12)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1061,f376]) ).
fof(f1061,plain,
( h(e12) = op2(h(e11),e21)
| ~ spl0_13 ),
inference(superposition,[],[f183,f826]) ).
fof(f183,plain,
h(e12) = op2(h(e11),h(e13)),
inference(forward_demodulation,[],[f28,f158]) ).
fof(f158,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f1037,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1036,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1035,f98]) ).
fof(f98,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f1035,plain,
( e22 = e24
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f632,f624]) ).
fof(f632,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl0_15
<=> e24 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1004,plain,
( ~ spl0_9
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| ~ spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f1002,f623]) ).
fof(f623,plain,
( e22 != h(e12)
| spl0_13 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f1002,plain,
( e22 = h(e12)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f981,f131]) ).
fof(f981,plain,
( op2(e21,e21) = h(e12)
| ~ spl0_9 ),
inference(superposition,[],[f199,f609]) ).
fof(f609,plain,
( e21 = h(e14)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f595,f143]) ).
fof(f143,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f595,plain,
( op2(e23,e23) = h(e14)
| ~ spl0_9 ),
inference(superposition,[],[f181,f376]) ).
fof(f181,plain,
h(e14) = op2(h(e11),h(e11)),
inference(forward_demodulation,[],[f26,f156]) ).
fof(f156,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f199,plain,
h(e12) = op2(h(e14),h(e14)),
inference(forward_demodulation,[],[f44,f174]) ).
fof(f174,plain,
e12 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f44,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f1001,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1000,plain,
( $false
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f999,f97]) ).
fof(f999,plain,
( e22 = e23
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f998,f131]) ).
fof(f998,plain,
( e23 = op2(e21,e21)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f981,f628]) ).
fof(f628,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl0_14
<=> e23 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f990,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f989,plain,
( $false
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f988,f92]) ).
fof(f92,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f988,plain,
( e20 = e23
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f987,f141]) ).
fof(f987,plain,
( e23 = op2(e23,e21)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f986,f376]) ).
fof(f986,plain,
( op2(e23,e21) = h(e11)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f975,f628]) ).
fof(f975,plain,
( h(e11) = op2(h(e12),e21)
| ~ spl0_9 ),
inference(superposition,[],[f189,f609]) ).
fof(f189,plain,
h(e11) = op2(h(e12),h(e14)),
inference(forward_demodulation,[],[f34,f164]) ).
fof(f164,plain,
e11 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f905,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f904,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f903,f80]) ).
fof(f80,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f903,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f888,f337]) ).
fof(f337,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f75,f228]) ).
fof(f228,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_1
<=> e20 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f75,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f888,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f76,f364]) ).
fof(f364,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl0_6
<=> e20 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f76,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f887,plain,
( ~ spl0_10
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f886]) ).
fof(f886,plain,
( $false
| ~ spl0_10
| spl0_13 ),
inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f12,f380,f738,f741,f13,f740,f737,f732,f834,f835,f837,f839,f845,f750,f846,f859,f865,f873,f876,f879,f623]) ).
fof(f879,plain,
( e24 = op2(h(e12),e21)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f849,f380]) ).
fof(f849,plain,
( h(e11) = op2(h(e12),e21)
| ~ spl0_10 ),
inference(superposition,[],[f189,f750]) ).
fof(f876,plain,
( e24 = op2(e21,h(e12))
| ~ spl0_10 ),
inference(forward_demodulation,[],[f853,f380]) ).
fof(f853,plain,
( h(e11) = op2(e21,h(e12))
| ~ spl0_10 ),
inference(superposition,[],[f197,f750]) ).
fof(f873,plain,
( e22 = h(e12)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f855,f131]) ).
fof(f855,plain,
( op2(e21,e21) = h(e12)
| ~ spl0_10 ),
inference(superposition,[],[f199,f750]) ).
fof(f865,plain,
( e20 = h(e13)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f864,f134]) ).
fof(f864,plain,
( op2(e21,e24) = h(e13)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f852,f380]) ).
fof(f852,plain,
( h(e13) = op2(e21,h(e11))
| ~ spl0_10 ),
inference(superposition,[],[f196,f750]) ).
fof(f859,plain,
( e23 = h(e13)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f858,f146]) ).
fof(f858,plain,
( op2(e24,e21) = h(e13)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f848,f380]) ).
fof(f848,plain,
( h(e13) = op2(h(e11),e21)
| ~ spl0_10 ),
inference(superposition,[],[f184,f750]) ).
fof(f846,plain,
( e14 = j(e21)
| ~ spl0_10 ),
inference(superposition,[],[f79,f750]) ).
fof(f750,plain,
( e21 = h(e14)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f735,f149]) ).
fof(f735,plain,
( op2(e24,e24) = h(e14)
| ~ spl0_10 ),
inference(superposition,[],[f181,f380]) ).
fof(f845,plain,
( e14 = j(e21)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f840,f156]) ).
fof(f840,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_10 ),
inference(superposition,[],[f224,f732]) ).
fof(f839,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_10 ),
inference(superposition,[],[f223,f732]) ).
fof(f837,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_10 ),
inference(superposition,[],[f221,f732]) ).
fof(f835,plain,
( j(e22) = op1(j(e23),e11)
| ~ spl0_10 ),
inference(superposition,[],[f219,f732]) ).
fof(f834,plain,
( j(e23) = op1(j(e22),e11)
| ~ spl0_10 ),
inference(superposition,[],[f214,f732]) ).
fof(f732,plain,
( e11 = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f76,f380]) ).
fof(f737,plain,
( h(e12) = op2(e24,h(e13))
| ~ spl0_10 ),
inference(superposition,[],[f183,f380]) ).
fof(f740,plain,
( h(e12) = op2(h(e13),e24)
| ~ spl0_10 ),
inference(superposition,[],[f191,f380]) ).
fof(f13,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f741,plain,
( h(e13) = op2(h(e14),e24)
| ~ spl0_10 ),
inference(superposition,[],[f196,f380]) ).
fof(f738,plain,
( h(e13) = op2(e24,h(e14))
| ~ spl0_10 ),
inference(superposition,[],[f184,f380]) ).
fof(f380,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl0_10
<=> e24 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f12,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f10,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f224,plain,
j(e21) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f69,f149]) ).
fof(f223,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f68,f148]) ).
fof(f222,plain,
j(e20) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f67,f147]) ).
fof(f221,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f66,f146]) ).
fof(f220,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f65,f145]) ).
fof(f219,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[],[f64,f144]) ).
fof(f218,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[],[f63,f143]) ).
fof(f217,plain,
j(e24) = op1(j(e23),j(e22)),
inference(forward_demodulation,[],[f62,f142]) ).
fof(f216,plain,
j(e20) = op1(j(e23),j(e21)),
inference(forward_demodulation,[],[f61,f141]) ).
fof(f215,plain,
j(e23) = op1(j(e23),j(e20)),
inference(forward_demodulation,[],[f60,f140]) ).
fof(f214,plain,
j(e23) = op1(j(e22),j(e24)),
inference(forward_demodulation,[],[f59,f139]) ).
fof(f213,plain,
j(e20) = op1(j(e22),j(e23)),
inference(forward_demodulation,[],[f58,f138]) ).
fof(f212,plain,
j(e21) = op1(j(e22),j(e22)),
inference(forward_demodulation,[],[f57,f137]) ).
fof(f211,plain,
j(e24) = op1(j(e22),j(e21)),
inference(forward_demodulation,[],[f56,f136]) ).
fof(f210,plain,
j(e22) = op1(j(e22),j(e20)),
inference(forward_demodulation,[],[f55,f135]) ).
fof(f209,plain,
j(e20) = op1(j(e21),j(e24)),
inference(forward_demodulation,[],[f54,f134]) ).
fof(f208,plain,
j(e24) = op1(j(e21),j(e23)),
inference(forward_demodulation,[],[f53,f133]) ).
fof(f207,plain,
j(e23) = op1(j(e21),j(e22)),
inference(forward_demodulation,[],[f52,f132]) ).
fof(f206,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[],[f51,f131]) ).
fof(f205,plain,
j(e21) = op1(j(e21),j(e20)),
inference(forward_demodulation,[],[f50,f130]) ).
fof(f204,plain,
j(e24) = op1(j(e20),j(e24)),
inference(forward_demodulation,[],[f49,f129]) ).
fof(f203,plain,
j(e23) = op1(j(e20),j(e23)),
inference(forward_demodulation,[],[f48,f128]) ).
fof(f202,plain,
j(e22) = op1(j(e20),j(e22)),
inference(forward_demodulation,[],[f47,f127]) ).
fof(f201,plain,
j(e21) = op1(j(e20),j(e21)),
inference(forward_demodulation,[],[f46,f126]) ).
fof(f200,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[],[f45,f125]) ).
fof(f198,plain,
h(e10) = op2(h(e14),h(e13)),
inference(forward_demodulation,[],[f43,f173]) ).
fof(f197,plain,
h(e11) = op2(h(e14),h(e12)),
inference(forward_demodulation,[],[f42,f172]) ).
fof(f196,plain,
h(e13) = op2(h(e14),h(e11)),
inference(forward_demodulation,[],[f41,f171]) ).
fof(f195,plain,
h(e14) = op2(h(e14),h(e10)),
inference(forward_demodulation,[],[f40,f170]) ).
fof(f194,plain,
h(e10) = op2(h(e13),h(e14)),
inference(forward_demodulation,[],[f39,f169]) ).
fof(f192,plain,
h(e14) = op2(h(e13),h(e12)),
inference(forward_demodulation,[],[f37,f167]) ).
fof(f191,plain,
h(e12) = op2(h(e13),h(e11)),
inference(forward_demodulation,[],[f36,f166]) ).
fof(f190,plain,
h(e13) = op2(h(e13),h(e10)),
inference(forward_demodulation,[],[f35,f165]) ).
fof(f188,plain,
h(e14) = op2(h(e12),h(e13)),
inference(forward_demodulation,[],[f33,f163]) ).
fof(f186,plain,
h(e10) = op2(h(e12),h(e11)),
inference(forward_demodulation,[],[f31,f161]) ).
fof(f185,plain,
h(e12) = op2(h(e12),h(e10)),
inference(forward_demodulation,[],[f30,f160]) ).
fof(f184,plain,
h(e13) = op2(h(e11),h(e14)),
inference(forward_demodulation,[],[f29,f159]) ).
fof(f182,plain,
h(e10) = op2(h(e11),h(e12)),
inference(forward_demodulation,[],[f27,f157]) ).
fof(f180,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[],[f25,f155]) ).
fof(f179,plain,
h(e14) = op2(h(e10),h(e14)),
inference(forward_demodulation,[],[f24,f154]) ).
fof(f178,plain,
h(e13) = op2(h(e10),h(e13)),
inference(forward_demodulation,[],[f23,f153]) ).
fof(f177,plain,
h(e12) = op2(h(e10),h(e12)),
inference(forward_demodulation,[],[f22,f152]) ).
fof(f176,plain,
h(e11) = op2(h(e10),h(e11)),
inference(forward_demodulation,[],[f21,f151]) ).
fof(f175,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f20,f150]) ).
fof(f173,plain,
e10 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
e14 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
e10 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
e14 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
e14 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
e13 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
e10 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
e14 = op1(e10,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
e13 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
e12 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
e21 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f145,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f142,plain,
e24 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
e23 = op2(e23,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f139,plain,
e23 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f138,plain,
e20 = op2(e22,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
e24 = op2(e22,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
e22 = op2(e22,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
e20 = op2(e21,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f133,plain,
e24 = op2(e21,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
e23 = op2(e21,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
e21 = op2(e21,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f129,plain,
e24 = op2(e20,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
e23 = op2(e20,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
e22 = op2(e20,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
e21 = op2(e20,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f125,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f78,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f77,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f74,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f73,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f72,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f71,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f70,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e14 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( e14 != e24
& e14 != e23
& e14 != e22
& e14 != e21
& e14 != e20
& e13 != e24
& e13 != e23
& e13 != e22
& e13 != e21
& e13 != e20
& e12 != e24
& e12 != e23
& e12 != e22
& e12 != e21
& e12 != e20
& e11 != e24
& e11 != e23
& e11 != e22
& e11 != e21
& e11 != e20
& e10 != e24
& e10 != e23
& e10 != e22
& e10 != e21
& e10 != e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f123,plain,
e14 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
e14 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
e14 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
e14 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
e13 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
e13 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
e13 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
e13 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
e13 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
e12 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
e12 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
e12 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
e12 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
e12 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
e11 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
e11 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
e11 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
e11 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
e11 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
e10 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
e10 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
e10 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
e10 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
e10 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f88,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f87,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f86,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
h(op1(e13,e14)) = op2(h(e13),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f43,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f45,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f46,plain,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f47,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f48,plain,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f50,plain,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f51,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f52,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f53,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f54,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f55,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f58,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f59,plain,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f62,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f63,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f64,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f65,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f66,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f67,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f68,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f69,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f885,plain,
( ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f884,plain,
( $false
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(global_subsumption,[],[f628,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f12,f623,f380,f738,f741,f13,f740,f737,f732,f834,f835,f837,f839,f845,f750,f846,f859,f865,f873,f876,f879]) ).
fof(f883,plain,
( ~ spl0_10
| spl0_13
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f882,plain,
( $false
| ~ spl0_10
| spl0_13
| spl0_15 ),
inference(global_subsumption,[],[f631,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f12,f623,f380,f738,f741,f13,f740,f737,f732,f834,f835,f837,f839,f845,f750,f846,f859,f865,f873,f876,f879]) ).
fof(f631,plain,
( e24 != h(e12)
| spl0_15 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f881,plain,
( ~ spl0_10
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f880,plain,
( $false
| ~ spl0_10
| spl0_13 ),
inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f12,f623,f380,f738,f741,f13,f740,f737,f732,f834,f835,f837,f839,f845,f750,f846,f859,f865,f873,f876,f879]) ).
fof(f878,plain,
( ~ spl0_10
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| ~ spl0_10
| spl0_13 ),
inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f12,f623,f380,f738,f741,f13,f740,f737,f732,f834,f835,f837,f839,f845,f750,f846,f859,f865,f873,f876]) ).
fof(f875,plain,
( ~ spl0_10
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| ~ spl0_10
| spl0_13 ),
inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f12,f623,f380,f738,f741,f13,f740,f737,f732,f834,f835,f837,f839,f845,f750,f846,f859,f865,f873]) ).
fof(f870,plain,
( ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f869,plain,
( $false
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f868,f99]) ).
fof(f868,plain,
( e23 = e24
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f867,f132]) ).
fof(f867,plain,
( e24 = op2(e21,e22)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f866,f380]) ).
fof(f866,plain,
( op2(e21,e22) = h(e11)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f853,f624]) ).
fof(f801,plain,
( ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f800,plain,
( $false
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f799,f96]) ).
fof(f799,plain,
( e21 = e24
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f798,f137]) ).
fof(f798,plain,
( e24 = op2(e22,e22)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f780,f380]) ).
fof(f780,plain,
( op2(e22,e22) = h(e11)
| ~ spl0_12 ),
inference(superposition,[],[f193,f772]) ).
fof(f772,plain,
( e22 = h(e13)
| ~ spl0_12 ),
inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f12,f620,f679,f666,f668,f669,f667,f660,f769,f761,f762,f764,f766,f13]) ).
fof(f766,plain,
( j(e23) = op1(j(e24),e12)
| ~ spl0_12 ),
inference(superposition,[],[f221,f660]) ).
fof(f764,plain,
( j(e24) = op1(j(e22),e12)
| ~ spl0_12 ),
inference(superposition,[],[f211,f660]) ).
fof(f762,plain,
( j(e24) = op1(e12,j(e23))
| ~ spl0_12 ),
inference(superposition,[],[f208,f660]) ).
fof(f761,plain,
( j(e23) = op1(e12,j(e22))
| ~ spl0_12 ),
inference(superposition,[],[f207,f660]) ).
fof(f769,plain,
( e13 = j(e22)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f760,f162]) ).
fof(f760,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_12 ),
inference(superposition,[],[f206,f660]) ).
fof(f660,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f77,f620]) ).
fof(f667,plain,
( h(e11) = op2(e21,h(e14))
| ~ spl0_12 ),
inference(superposition,[],[f189,f620]) ).
fof(f669,plain,
( h(e11) = op2(h(e14),e21)
| ~ spl0_12 ),
inference(superposition,[],[f197,f620]) ).
fof(f668,plain,
( h(e14) = op2(h(e13),e21)
| ~ spl0_12 ),
inference(superposition,[],[f192,f620]) ).
fof(f666,plain,
( h(e14) = op2(e21,h(e13))
| ~ spl0_12 ),
inference(superposition,[],[f188,f620]) ).
fof(f679,plain,
( e22 = h(e13)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f665,f131]) ).
fof(f665,plain,
( op2(e21,e21) = h(e13)
| ~ spl0_12 ),
inference(superposition,[],[f187,f620]) ).
fof(f620,plain,
( e21 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f618,plain,
( spl0_12
<=> e21 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f790,plain,
( ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f789,plain,
( $false
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f788,f90]) ).
fof(f788,plain,
( e20 = e21
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f787,f147]) ).
fof(f787,plain,
( e21 = op2(e24,e22)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f786,f620]) ).
fof(f786,plain,
( op2(e24,e22) = h(e12)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f775,f380]) ).
fof(f775,plain,
( h(e12) = op2(h(e11),e22)
| ~ spl0_12 ),
inference(superposition,[],[f183,f772]) ).
fof(f727,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f725,f97]) ).
fof(f725,plain,
( e22 = e23
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f724,f131]) ).
fof(f724,plain,
( e23 = op2(e21,e21)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f723,f376]) ).
fof(f723,plain,
( op2(e21,e21) = h(e11)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f707,f620]) ).
fof(f707,plain,
( h(e11) = op2(e21,h(e12))
| ~ spl0_9 ),
inference(superposition,[],[f197,f609]) ).
fof(f718,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f716,f97]) ).
fof(f716,plain,
( e22 = e23
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f715,f131]) ).
fof(f715,plain,
( e23 = op2(e21,e21)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f714,f376]) ).
fof(f714,plain,
( op2(e21,e21) = h(e11)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f703,f620]) ).
fof(f703,plain,
( h(e11) = op2(h(e12),e21)
| ~ spl0_9 ),
inference(superposition,[],[f189,f609]) ).
fof(f648,plain,
( ~ spl0_1
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f647,plain,
( $false
| ~ spl0_1
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f646,f81]) ).
fof(f646,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f634,f337]) ).
fof(f634,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f77,f616]) ).
fof(f616,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl0_11
<=> e20 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f633,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f630,f626,f622,f618,f614]) ).
fof(f587,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f585,f94]) ).
fof(f585,plain,
( e21 = e22
| ~ spl0_8 ),
inference(forward_demodulation,[],[f584,f149]) ).
fof(f584,plain,
( e22 = op2(e24,e24)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f571,f372]) ).
fof(f372,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl0_8
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f571,plain,
( op2(e24,e24) = h(e11)
| ~ spl0_8 ),
inference(superposition,[],[f193,f536]) ).
fof(f536,plain,
( e24 = h(e13)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f535,f136]) ).
fof(f535,plain,
( op2(e22,e21) = h(e13)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f525,f372]) ).
fof(f525,plain,
( h(e13) = op2(h(e11),e21)
| ~ spl0_8 ),
inference(superposition,[],[f184,f503]) ).
fof(f503,plain,
( e21 = h(e14)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f490,f137]) ).
fof(f490,plain,
( op2(e22,e22) = h(e14)
| ~ spl0_8 ),
inference(superposition,[],[f181,f372]) ).
fof(f486,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f484,f99]) ).
fof(f484,plain,
( e23 = e24
| ~ spl0_7 ),
inference(forward_demodulation,[],[f436,f431]) ).
fof(f431,plain,
( e23 = h(e13)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f430,f132]) ).
fof(f430,plain,
( op2(e21,e22) = h(e13)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f420,f368]) ).
fof(f368,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl0_7
<=> e21 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f420,plain,
( h(e13) = op2(h(e11),e22)
| ~ spl0_7 ),
inference(superposition,[],[f184,f397]) ).
fof(f397,plain,
( e22 = h(e14)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f385,f131]) ).
fof(f385,plain,
( op2(e21,e21) = h(e14)
| ~ spl0_7 ),
inference(superposition,[],[f181,f368]) ).
fof(f436,plain,
( e24 = h(e13)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f435,f136]) ).
fof(f435,plain,
( op2(e22,e21) = h(e13)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f424,f368]) ).
fof(f424,plain,
( h(e13) = op2(e22,h(e11))
| ~ spl0_7 ),
inference(superposition,[],[f196,f397]) ).
fof(f381,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f378,f374,f370,f366,f362]) ).
fof(f336,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f334,f96]) ).
fof(f334,plain,
( e21 = e24
| ~ spl0_5 ),
inference(forward_demodulation,[],[f321,f149]) ).
fof(f321,plain,
( e24 = op2(e24,e24)
| ~ spl0_5 ),
inference(superposition,[],[f175,f244]) ).
fof(f244,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_5
<=> e24 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f319,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f318,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f317,f95]) ).
fof(f317,plain,
( e21 = e23
| ~ spl0_4 ),
inference(forward_demodulation,[],[f305,f143]) ).
fof(f305,plain,
( e23 = op2(e23,e23)
| ~ spl0_4 ),
inference(superposition,[],[f175,f240]) ).
fof(f240,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl0_4
<=> e23 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f303,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f301,f94]) ).
fof(f301,plain,
( e21 = e22
| ~ spl0_3 ),
inference(forward_demodulation,[],[f290,f137]) ).
fof(f290,plain,
( e22 = op2(e22,e22)
| ~ spl0_3 ),
inference(superposition,[],[f175,f236]) ).
fof(f236,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_3
<=> e22 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f283,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f281,f94]) ).
fof(f281,plain,
( e21 = e22
| ~ spl0_2 ),
inference(forward_demodulation,[],[f271,f232]) ).
fof(f232,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl0_2
<=> e21 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f271,plain,
( e22 = h(e10)
| ~ spl0_2 ),
inference(superposition,[],[f72,f270]) ).
fof(f270,plain,
( e10 = j(e22)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f263,f150]) ).
fof(f263,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_2 ),
inference(superposition,[],[f206,f246]) ).
fof(f246,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f75,f232]) ).
fof(f245,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f242,f238,f234,f230,f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG084+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 19:55:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (16109)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (16112)WARNING: value z3 for option sas not known
% 0.13/0.37 % (16112)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (16115)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (16110)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (16114)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (16113)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (16111)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (16116)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 Detected minimum model sizes of [10]
% 0.13/0.38 Detected maximum model sizes of [max]
% 0.13/0.38 Detected minimum model sizes of [10]
% 0.13/0.38 Detected maximum model sizes of [max]
% 0.13/0.38 TRYING [10]
% 0.13/0.38 TRYING [10]
% 0.13/0.39 % (16112)First to succeed.
% 0.13/0.40 % (16112)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16109"
% 0.13/0.40 % (16112)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (16112)------------------------------
% 0.13/0.40 % (16112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40 % (16112)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (16112)Memory used [KB]: 1169
% 0.13/0.40 % (16112)Time elapsed: 0.027 s
% 0.13/0.40 % (16112)Instructions burned: 59 (million)
% 0.13/0.40 % (16109)Success in time 0.046 s
%------------------------------------------------------------------------------