TSTP Solution File: ALG085+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG085+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 : Mon May 20 18:25:48 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 214 ( 63 unt; 0 def)
% Number of atoms : 917 ( 684 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 916 ( 213 ~; 346 |; 340 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 4 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(f999,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f283,f325,f380,f406,f425,f448,f469,f473,f493,f509,f628,f672,f721,f737,f803,f806,f825,f864,f932,f937,f969,f995]) ).
fof(f995,plain,
( ~ spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| ~ spl0_7
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f993,f90]) ).
fof(f90,plain,
e20 != e21,
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(f993,plain,
( e20 = e21
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f992,f142]) ).
fof(f142,plain,
e20 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e20 = op2(e24,e24)
& e22 = op2(e24,e23)
& e21 = op2(e24,e22)
& e23 = op2(e24,e21)
& e24 = op2(e24,e20)
& e22 = op2(e23,e24)
& e21 = op2(e23,e23)
& e20 = op2(e23,e22)
& e24 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e22,e24)
& e24 = op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e22,e21)
& e22 = op2(e22,e20)
& e23 = op2(e21,e24)
& e20 = op2(e21,e23)
& e24 = 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(f992,plain,
( e21 = op2(e23,e22)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f991,f312]) ).
fof(f312,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl0_7
<=> e21 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f991,plain,
( op2(e23,e22) = h(e11)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f977,f408]) ).
fof(f408,plain,
( e22 = h(e14)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f395,f131]) ).
fof(f131,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f395,plain,
( op2(e21,e21) = h(e14)
| ~ spl0_7 ),
inference(superposition,[],[f181,f312]) ).
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(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(f26,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
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(f977,plain,
( h(e11) = op2(e23,h(e14))
| ~ spl0_14 ),
inference(superposition,[],[f189,f667]) ).
fof(f667,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl0_14
<=> e23 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
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(f969,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f968]) ).
fof(f968,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f967,f97]) ).
fof(f97,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f967,plain,
( e22 = e23
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f667,f663]) ).
fof(f663,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f661,plain,
( spl0_13
<=> e22 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f937,plain,
( ~ spl0_7
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f936,plain,
( $false
| ~ spl0_7
| spl0_14 ),
inference(subsumption_resolution,[],[f935,f666]) ).
fof(f666,plain,
( e23 != h(e12)
| spl0_14 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f935,plain,
( e23 = h(e12)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f918,f137]) ).
fof(f137,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f918,plain,
( op2(e22,e22) = h(e12)
| ~ spl0_7 ),
inference(superposition,[],[f199,f408]) ).
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(f932,plain,
( ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f931,plain,
( $false
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f930,f90]) ).
fof(f930,plain,
( e20 = e21
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f929,f136]) ).
fof(f136,plain,
e20 = op2(e22,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f929,plain,
( e21 = op2(e22,e21)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f928,f312]) ).
fof(f928,plain,
( op2(e22,e21) = h(e11)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f916,f659]) ).
fof(f659,plain,
( e21 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f657,plain,
( spl0_12
<=> e21 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f916,plain,
( h(e11) = op2(e22,h(e12))
| ~ spl0_7 ),
inference(superposition,[],[f197,f408]) ).
fof(f197,plain,
h(e11) = op2(h(e14),h(e12)),
inference(forward_demodulation,[],[f42,f172]) ).
fof(f172,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f864,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f863]) ).
fof(f863,plain,
( $false
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f862,f91]) ).
fof(f91,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f862,plain,
( e20 = e22
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f861,f133]) ).
fof(f133,plain,
e20 = op2(e21,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f861,plain,
( e22 = op2(e21,e23)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f860,f316]) ).
fof(f316,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl0_8
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f860,plain,
( op2(e21,e23) = h(e11)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f846,f428]) ).
fof(f428,plain,
( e23 = h(e14)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f414,f137]) ).
fof(f414,plain,
( op2(e22,e22) = h(e14)
| ~ spl0_8 ),
inference(superposition,[],[f181,f316]) ).
fof(f846,plain,
( h(e11) = op2(e21,h(e14))
| ~ spl0_12 ),
inference(superposition,[],[f189,f659]) ).
fof(f825,plain,
( ~ spl0_1
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f824,plain,
( $false
| ~ spl0_1
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f823,f81]) ).
fof(f81,plain,
e10 != e12,
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(f823,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f811,f510]) ).
fof(f510,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(f811,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f77,f655]) ).
fof(f655,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl0_11
<=> e20 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f77,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f806,plain,
( ~ spl0_8
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl0_8
| spl0_12 ),
inference(subsumption_resolution,[],[f804,f658]) ).
fof(f658,plain,
( e21 != h(e12)
| spl0_12 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f804,plain,
( e21 = h(e12)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f787,f143]) ).
fof(f143,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f787,plain,
( op2(e23,e23) = h(e12)
| ~ spl0_8 ),
inference(superposition,[],[f199,f428]) ).
fof(f803,plain,
( ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f802,plain,
( $false
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f801,f96]) ).
fof(f96,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f801,plain,
( e21 = e24
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f800,f143]) ).
fof(f800,plain,
( e24 = op2(e23,e23)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f787,f671]) ).
fof(f671,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f669,plain,
( spl0_15
<=> e24 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f737,plain,
( ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f736,plain,
( $false
| ~ spl0_10
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f735,f93]) ).
fof(f93,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f735,plain,
( e20 = e24
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f734,f125]) ).
fof(f125,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f734,plain,
( e24 = op2(e20,e20)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f718,f671]) ).
fof(f718,plain,
( op2(e20,e20) = h(e12)
| ~ spl0_10 ),
inference(superposition,[],[f199,f474]) ).
fof(f474,plain,
( e20 = h(e14)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f455,f149]) ).
fof(f149,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f455,plain,
( op2(e24,e24) = h(e14)
| ~ spl0_10 ),
inference(superposition,[],[f181,f324]) ).
fof(f324,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl0_10
<=> e24 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f721,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl0_1
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f719,f83]) ).
fof(f83,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f719,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f709,f510]) ).
fof(f709,plain,
( e14 = j(e20)
| ~ spl0_10 ),
inference(superposition,[],[f79,f474]) ).
fof(f79,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f672,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f669,f665,f661,f657,f653]) ).
fof(f12,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f628,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f626,f92]) ).
fof(f92,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f626,plain,
( e20 = e23
| ~ spl0_9 ),
inference(forward_demodulation,[],[f625,f149]) ).
fof(f625,plain,
( e23 = op2(e24,e24)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f614,f320]) ).
fof(f320,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl0_9
<=> e23 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f614,plain,
( op2(e24,e24) = h(e11)
| ~ spl0_9 ),
inference(superposition,[],[f193,f566]) ).
fof(f566,plain,
( e24 = h(e13)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f565,f141]) ).
fof(f141,plain,
e24 = op2(e23,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f565,plain,
( op2(e23,e21) = h(e13)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f556,f320]) ).
fof(f556,plain,
( h(e13) = op2(h(e11),e21)
| ~ spl0_9 ),
inference(superposition,[],[f184,f449]) ).
fof(f449,plain,
( e21 = h(e14)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f434,f143]) ).
fof(f434,plain,
( op2(e23,e23) = h(e14)
| ~ spl0_9 ),
inference(superposition,[],[f181,f320]) ).
fof(f184,plain,
h(e13) = op2(h(e11),h(e14)),
inference(forward_demodulation,[],[f29,f159]) ).
fof(f159,plain,
e13 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[],[f9]) ).
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(f509,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f507,f95]) ).
fof(f95,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f507,plain,
( e21 = e23
| ~ spl0_4 ),
inference(forward_demodulation,[],[f495,f143]) ).
fof(f495,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(f175,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f20,f150]) ).
fof(f150,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f20,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f493,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f492,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f491,f93]) ).
fof(f491,plain,
( e20 = e24
| ~ spl0_5 ),
inference(forward_demodulation,[],[f478,f149]) ).
fof(f478,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(f473,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f471,f96]) ).
fof(f471,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f470,f147]) ).
fof(f147,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f470,plain,
( e24 = op2(e24,e22)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f454,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(f454,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_10 ),
inference(superposition,[],[f180,f324]) ).
fof(f180,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[],[f25,f155]) ).
fof(f155,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f469,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f467,f96]) ).
fof(f467,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f466,f139]) ).
fof(f139,plain,
e21 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f466,plain,
( e24 = op2(e22,e24)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f453,f236]) ).
fof(f453,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_10 ),
inference(superposition,[],[f176,f324]) ).
fof(f176,plain,
h(e11) = op2(h(e10),h(e11)),
inference(forward_demodulation,[],[f21,f151]) ).
fof(f151,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f21,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f448,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f446,f92]) ).
fof(f446,plain,
( e20 = e23
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f445,f142]) ).
fof(f445,plain,
( e23 = op2(e23,e22)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f433,f236]) ).
fof(f433,plain,
( e23 = op2(e23,h(e10))
| ~ spl0_9 ),
inference(superposition,[],[f180,f320]) ).
fof(f425,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f424,plain,
( $false
| ~ spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f423,f80]) ).
fof(f80,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f423,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f411,f291]) ).
fof(f291,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f75,f236]) ).
fof(f411,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f76,f316]) ).
fof(f76,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f406,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f404,f90]) ).
fof(f404,plain,
( e20 = e21
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f403,f136]) ).
fof(f403,plain,
( e21 = op2(e22,e21)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f393,f236]) ).
fof(f393,plain,
( e21 = op2(h(e10),e21)
| ~ spl0_7 ),
inference(superposition,[],[f176,f312]) ).
fof(f380,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f378,f86]) ).
fof(f86,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f378,plain,
( e11 = e14
| ~ spl0_6 ),
inference(forward_demodulation,[],[f368,f326]) ).
fof(f326,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f76,f308]) ).
fof(f308,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl0_6
<=> e20 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f368,plain,
( e14 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f79,f338]) ).
fof(f338,plain,
( e20 = h(e14)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f329,f125]) ).
fof(f329,plain,
( op2(e20,e20) = h(e14)
| ~ spl0_6 ),
inference(superposition,[],[f181,f308]) ).
fof(f325,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f322,f318,f314,f310,f306]) ).
fof(f11,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f283,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f281,f94]) ).
fof(f94,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
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(f206,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[],[f51,f131]) ).
fof(f51,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f72,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f245,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f242,f238,f234,f230,f226]) ).
fof(f10,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG085+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 23:49:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (25267)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (25271)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (25269)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (25268)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (25274)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)
% 0.16/0.39 % (25272)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)
% 0.16/0.39 % (25273)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)
% 0.16/0.40 % (25270)WARNING: value z3 for option sas not known
% 0.16/0.40 Detected minimum model sizes of [10]
% 0.16/0.40 Detected maximum model sizes of [max]
% 0.16/0.40 % (25270)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)
% 0.22/0.40 TRYING [10]
% 0.22/0.41 Detected minimum model sizes of [10]
% 0.22/0.41 Detected maximum model sizes of [max]
% 0.22/0.41 TRYING [10]
% 0.22/0.43 % (25270)First to succeed.
% 0.22/0.43 % (25270)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25267"
% 0.22/0.43 % (25270)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (25270)------------------------------
% 0.22/0.44 % (25270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.44 % (25270)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (25270)Memory used [KB]: 1074
% 0.22/0.44 % (25270)Time elapsed: 0.028 s
% 0.22/0.44 % (25270)Instructions burned: 51 (million)
% 0.22/0.44 % (25267)Success in time 0.053 s
%------------------------------------------------------------------------------