%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL063-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:05 AM UTC 2026
% Result : Unsatisfiable 21.32s 6.63s
% Output : Refutation 37.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 104
% Number of leaves : 20
% Syntax : Number of formulae : 272 ( 134 unt; 15 def)
% Number of atoms : 444 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 343 ( 171 ~; 168 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-2 aty)
% Number of variables : 450 ( 0 sgn 450 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(not(c),not(e))),c),falsehood),implies(implies(falsehood,a),implies(e,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_CAMeredith) ).
fof(f6,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = not(c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
not(c) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = not(e),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
not(e) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = implies(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
implies(sF1,sF2) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = implies(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
implies(sF0,sF3) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF5 = implies(sF4,c),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f17,plain,
implies(sF4,c) = sF5,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF6 = implies(sF5,falsehood),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f19,plain,
implies(sF5,falsehood) = sF6,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF7 = implies(falsehood,a),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f21,plain,
implies(falsehood,a) = sF7,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF8 = implies(e,a),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f23,plain,
implies(e,a) = sF8,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF9 = implies(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f25,plain,
implies(sF7,sF8) = sF9,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF10 = implies(sF6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f27,plain,
implies(sF6,sF9) = sF10,
inference(reorient_equations,[],[f26]) ).
fof(f28,plain,
~ is_a_theorem(sF10),
inference(definition_folding,[],[f5,f27,f25,f23,f21,f19,f17,f15,f13,f11,f9,f7]) ).
fof(f29,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f30,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f35,plain,
! [X0] : is_a_theorem(implies(implies(e,X0),implies(implies(X0,a),sF8))),
inference(superposition,[],[f2,f23]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f29,f1]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f141,f2]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f141,f29]) ).
fof(f162,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f141,f4]) ).
fof(f163,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f141,f3]) ).
fof(f194,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f163,f4]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f161,f2]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f161,f29]) ).
fof(f203,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f161,f4]) ).
fof(f215,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f203,f163]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2)))) ),
inference(resolution,[],[f201,f141]) ).
fof(f260,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f30,f215]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f260,f161]) ).
fof(f303,plain,
is_a_theorem(implies(implies(e,falsehood),implies(sF7,sF8))),
inference(superposition,[],[f35,f21]) ).
fof(f312,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f202,f3]) ).
fof(f381,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X1,X4),implies(X0,implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) ),
inference(resolution,[],[f235,f2]) ).
fof(f388,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,implies(not(X3),X2)))) ),
inference(resolution,[],[f235,f4]) ).
fof(f418,plain,
is_a_theorem(implies(implies(e,falsehood),sF9)),
inference(forward_demodulation,[],[f303,f25]) ).
fof(f519,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f388,f4]) ).
fof(f552,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(X1,X4))
| is_a_theorem(implies(X0,implies(implies(X4,X2),X3))) ),
inference(resolution,[],[f381,f1]) ).
fof(f571,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f552,f2]) ).
fof(f631,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(e,falsehood)))
| is_a_theorem(implies(X0,sF9)) ),
inference(resolution,[],[f418,f141]) ).
fof(f647,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f312,f519]) ).
fof(f649,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f312,f194]) ).
fof(f661,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f649,f1]) ).
fof(f683,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f647,f1]) ).
fof(f717,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f661,f1]) ).
fof(f751,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f281,f4]) ).
fof(f766,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f751,f3]) ).
fof(f792,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f766,f717]) ).
fof(f795,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[],[f766,f751]) ).
fof(f801,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f795,f312]) ).
fof(f832,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f801,f163]) ).
fof(f837,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f801,f1]) ).
fof(f849,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f832,f141]) ).
fof(f859,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f849,f571]) ).
fof(f860,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f849,f29]) ).
fof(f861,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f849,f201]) ).
fof(f894,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f859,f163]) ).
fof(f921,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f860,f260]) ).
fof(f952,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(not(X1),X0)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f894,f141]) ).
fof(f981,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f952,f260]) ).
fof(f989,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X1))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f981,f260]) ).
fof(f1045,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f921,f141]) ).
fof(f1074,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[],[f837,f649]) ).
fof(f1171,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| is_a_theorem(implies(implies(X2,X3),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1045,f571]) ).
fof(f1239,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(not(X1),X4)),X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f1171,f519]) ).
fof(f1562,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[],[f861,f1074]) ).
fof(f1653,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f1562,f1239]) ).
fof(f1684,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f1653,f792]) ).
fof(f1685,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f1653,f837]) ).
fof(f1701,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1653,f1]) ).
fof(f1718,plain,
! [X0] : is_a_theorem(implies(implies(X0,a),implies(X0,sF8))),
inference(superposition,[],[f1653,f23]) ).
fof(f1722,plain,
! [X0] : is_a_theorem(implies(implies(X0,c),implies(X0,sF5))),
inference(superposition,[],[f1653,f17]) ).
fof(f1724,plain,
! [X0] : is_a_theorem(implies(implies(X0,sF9),implies(X0,sF10))),
inference(superposition,[],[f1653,f27]) ).
fof(f1725,plain,
! [X0] : is_a_theorem(implies(implies(X0,sF8),implies(X0,sF9))),
inference(superposition,[],[f1653,f25]) ).
fof(f1736,plain,
is_a_theorem(implies(falsehood,sF9)),
inference(resolution,[],[f1684,f631]) ).
fof(f1740,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1684,f281]) ).
fof(f1774,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(resolution,[],[f1701,f141]) ).
fof(f2188,plain,
! [X0] : is_a_theorem(implies(X0,implies(falsehood,sF9))),
inference(resolution,[],[f1740,f418]) ).
fof(f2214,plain,
! [X0] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,sF9))),
inference(resolution,[],[f2188,f861]) ).
fof(f2248,plain,
is_a_theorem(implies(sF6,implies(sF5,sF9))),
inference(superposition,[],[f2214,f19]) ).
fof(f2249,plain,
is_a_theorem(implies(implies(sF6,falsehood),sF10)),
inference(superposition,[],[f2214,f27]) ).
fof(f2250,plain,
! [X0] : is_a_theorem(implies(X0,implies(falsehood,sF10))),
inference(resolution,[],[f2249,f1740]) ).
fof(f2280,plain,
! [X0] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,sF10))),
inference(resolution,[],[f2250,f861]) ).
fof(f2314,plain,
is_a_theorem(implies(sF6,implies(sF5,sF10))),
inference(superposition,[],[f2280,f19]) ).
fof(f2367,definition,
( spl11_66
<=> ! [X0] : is_a_theorem(implies(X0,sF10)) ),
introduced(definition,[new_symbols(definition,[spl11_66])],[avatar_definition]) ).
fof(f2368,plain,
( ! [X0] : is_a_theorem(implies(X0,sF10))
| ~ spl11_66 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f2512,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),implies(X4,X3))) ),
inference(resolution,[],[f1774,f2]) ).
fof(f2611,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))),
inference(resolution,[],[f2512,f1562]) ).
fof(f2670,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[],[f2611,f163]) ).
fof(f2699,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f2670,f1740]) ).
fof(f2774,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f2699,f792]) ).
fof(f2798,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2774,f161]) ).
fof(f2837,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f2798,f1685]) ).
fof(f2839,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(resolution,[],[f2798,f1074]) ).
fof(f2841,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f2798,f4]) ).
fof(f2842,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f2798,f162]) ).
fof(f2845,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f2798,f2]) ).
fof(f2847,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(implies(X0,X1),X1))),
inference(resolution,[],[f2798,f649]) ).
fof(f2872,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X1),X0),X1))),
inference(resolution,[],[f2798,f2670]) ).
fof(f2879,plain,
is_a_theorem(implies(sF5,implies(sF6,sF10))),
inference(resolution,[],[f2798,f2314]) ).
fof(f2880,plain,
is_a_theorem(implies(sF5,implies(sF6,sF9))),
inference(resolution,[],[f2798,f2248]) ).
fof(f2901,plain,
is_a_theorem(implies(sF5,sF10)),
inference(forward_demodulation,[],[f2880,f27]) ).
fof(f2902,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2841,f981]) ).
fof(f2911,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1))),
inference(resolution,[],[f2841,f312]) ).
fof(f3016,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,sF5))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f2901,f141]) ).
fof(f3064,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X0)),X1))),
inference(resolution,[],[f2872,f683]) ).
fof(f3075,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,implies(not(X1),X0))) ),
inference(resolution,[],[f2872,f161]) ).
fof(f3100,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(not(X1)),X1))),
inference(resolution,[],[f2911,f837]) ).
fof(f3116,plain,
! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2911,f1]) ).
fof(f3152,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2902,f29]) ).
fof(f3274,plain,
! [X0] :
( ~ is_a_theorem(implies(sF6,sF10))
| is_a_theorem(implies(X0,sF10)) ),
inference(superposition,[],[f3152,f27]) ).
fof(f3285,definition,
( spl11_87
<=> is_a_theorem(implies(sF6,sF10)) ),
introduced(definition,[new_symbols(definition,[spl11_87])],[avatar_definition]) ).
fof(f3287,plain,
( ~ is_a_theorem(implies(sF6,sF10))
| spl11_87 ),
inference(avatar_component_clause,[],[f3285]) ).
fof(f3288,plain,
( spl11_66
| ~ spl11_87 ),
inference(avatar_split_clause,[],[f3274,f3285,f2367]) ).
fof(f3441,plain,
! [X0] : is_a_theorem(implies(sF9,implies(X0,sF10))),
inference(superposition,[],[f2837,f27]) ).
fof(f3504,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[],[f2842,f163]) ).
fof(f3532,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),X0)),
inference(resolution,[],[f3504,f2841]) ).
fof(f3584,plain,
is_a_theorem(implies(not(sF10),sF6)),
inference(superposition,[],[f3532,f27]) ).
fof(f3663,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[],[f3100,f2798]) ).
fof(f4007,plain,
is_a_theorem(implies(not(not(c)),sF5)),
inference(superposition,[],[f3663,f17]) ).
fof(f4011,plain,
is_a_theorem(implies(not(sF1),sF5)),
inference(forward_demodulation,[],[f4007,f9]) ).
fof(f4014,plain,
is_a_theorem(implies(not(sF1),sF10)),
inference(resolution,[],[f4011,f3016]) ).
fof(f4039,plain,
is_a_theorem(implies(not(sF10),sF1)),
inference(resolution,[],[f4014,f3504]) ).
fof(f4187,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X2,X0),implies(X2,X1))) ),
inference(resolution,[],[f3075,f861]) ).
fof(f4663,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(resolution,[],[f3064,f2798]) ).
fof(f4707,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))),
inference(resolution,[],[f4663,f1740]) ).
fof(f4723,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f4663,f141]) ).
fof(f4750,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f4707,f2798]) ).
fof(f4815,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f4750,f312]) ).
fof(f4851,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f4815,f163]) ).
fof(f4884,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f4851,f1]) ).
fof(f4885,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f4851,f141]) ).
fof(f4917,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4885,f160]) ).
fof(f4926,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f4885,f2]) ).
fof(f4927,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f4885,f571]) ).
fof(f4968,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),X0))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f4885,f2842]) ).
fof(f5008,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f4926,f161]) ).
fof(f5115,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(resolution,[],[f4917,f2]) ).
fof(f5161,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF6,sF10)))
| is_a_theorem(implies(X0,sF10)) ),
inference(superposition,[],[f4917,f27]) ).
fof(f5233,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(resolution,[],[f5115,f161]) ).
fof(f6346,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f5233,f1]) ).
fof(f7072,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,implies(X1,X2))) ),
inference(resolution,[],[f6346,f29]) ).
fof(f8583,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),implies(not(X0),X2))),
inference(resolution,[],[f4968,f647]) ).
fof(f8629,plain,
is_a_theorem(implies(not(sF9),e)),
inference(resolution,[],[f4968,f418]) ).
fof(f8672,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(implies(X0,X2)),X1))),
inference(resolution,[],[f8583,f312]) ).
fof(f10256,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[],[f7072,f2847]) ).
fof(f10313,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(not(X0),X0)))
| ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f10256,f141]) ).
fof(f10722,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(implies(X2,X0),X1))
| ~ is_a_theorem(implies(not(X0),X2)) ),
inference(resolution,[],[f10313,f29]) ).
fof(f10872,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(not(X1),X0))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f10722,f260]) ).
fof(f11135,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f10872,f4884]) ).
fof(f11151,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(implies(not(X2),X1)) ),
inference(resolution,[],[f10872,f4968]) ).
fof(f11246,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(X1,X0)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f11135,f3663]) ).
fof(f11250,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X0),X2)) ),
inference(resolution,[],[f11135,f1701]) ).
fof(f11462,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f11151,f3116]) ).
fof(f11609,plain,
! [X0] :
( is_a_theorem(implies(not(e),X0))
| ~ is_a_theorem(implies(sF9,X0)) ),
inference(resolution,[],[f11462,f8629]) ).
fof(f11621,plain,
! [X0] :
( ~ is_a_theorem(implies(sF9,X0))
| is_a_theorem(implies(sF2,X0)) ),
inference(forward_demodulation,[],[f11609,f11]) ).
fof(f11754,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(not(X0)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f11250,f2841]) ).
fof(f11764,plain,
( is_a_theorem(implies(sF6,sF10))
| ~ is_a_theorem(implies(not(sF5),sF10)) ),
inference(resolution,[],[f11250,f2879]) ).
fof(f11813,plain,
( ~ is_a_theorem(implies(not(sF5),sF10))
| spl11_87 ),
inference(forward_subsumption_resolution,[],[f11764,f3287]) ).
fof(f11841,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X0))))),
inference(resolution,[],[f11754,f1684]) ).
fof(f11913,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),
inference(resolution,[],[f11841,f4187]) ).
fof(f11999,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),
inference(resolution,[],[f11913,f4723]) ).
fof(f12079,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X1),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f11999,f952]) ).
fof(f12085,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(implies(not(X1),X0),X1))),
inference(resolution,[],[f11999,f2798]) ).
fof(f12098,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(not(X2),X1)) ),
inference(resolution,[],[f11999,f989]) ).
fof(f12121,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X2),X0)))
| is_a_theorem(implies(not(X0),implies(X1,X2))) ),
inference(resolution,[],[f12085,f161]) ).
fof(f12161,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X0),implies(X1,X2)))),
inference(resolution,[],[f12121,f8672]) ).
fof(f12753,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(not(X0),X1)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f12079,f141]) ).
fof(f12827,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(X3,X2)))
| is_a_theorem(implies(implies(X1,X3),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f12753,f201]) ).
fof(f13373,plain,
! [X0] : is_a_theorem(implies(not(X0),implies(implies(a,X0),sF0))),
inference(superposition,[],[f12161,f7]) ).
fof(f14454,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f12827,f2774]) ).
fof(f14992,plain,
! [X0] : is_a_theorem(implies(sF2,implies(X0,sF9))),
inference(resolution,[],[f11621,f1684]) ).
fof(f15244,plain,
! [X0] : is_a_theorem(implies(implies(X0,sF2),implies(X0,sF9))),
inference(resolution,[],[f14992,f4187]) ).
fof(f15327,plain,
is_a_theorem(implies(implies(sF6,sF2),sF10)),
inference(superposition,[],[f15244,f27]) ).
fof(f15384,plain,
! [X0] : is_a_theorem(implies(X0,implies(sF2,sF10))),
inference(resolution,[],[f15327,f1740]) ).
fof(f15460,plain,
! [X0] : is_a_theorem(implies(implies(X0,sF2),implies(X0,sF10))),
inference(resolution,[],[f15384,f861]) ).
fof(f15572,plain,
is_a_theorem(implies(sF3,implies(sF1,sF10))),
inference(superposition,[],[f15460,f13]) ).
fof(f15831,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,sF10))
| is_a_theorem(sF10) )
| ~ spl11_66 ),
inference(resolution,[],[f2368,f11135]) ).
fof(f15837,plain,
( ! [X0] : ~ is_a_theorem(implies(X0,sF10))
| ~ spl11_66 ),
inference(forward_subsumption_resolution,[],[f15831,f28]) ).
fof(f15850,plain,
( $false
| ~ spl11_66 ),
inference(forward_subsumption_resolution,[],[f15837,f2368]) ).
fof(f15851,plain,
~ spl11_66,
inference(avatar_contradiction_clause,[],[f15850]) ).
fof(f17079,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X0),X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f14454,f1]) ).
fof(f17103,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X2),X0)) ),
inference(resolution,[],[f17079,f12098]) ).
fof(f17376,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X1),implies(X0,X2)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(resolution,[],[f17103,f4927]) ).
fof(f18522,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f17376,f1685]) ).
fof(f18571,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(implies(X0,X1),X2))) ),
inference(resolution,[],[f18522,f381]) ).
fof(f18797,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X1),X0),implies(X2,X1)))),
inference(resolution,[],[f18571,f2845]) ).
fof(f19623,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(implies(X0,X1),X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) ),
inference(resolution,[],[f18797,f161]) ).
fof(f19817,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),implies(X2,X1)))),
inference(resolution,[],[f19623,f2839]) ).
fof(f19828,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),implies(X2,X1)))),
inference(resolution,[],[f19623,f3663]) ).
fof(f20099,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(X1,X2)))
| ~ is_a_theorem(implies(not(X0),implies(X1,X2))) ),
inference(resolution,[],[f19828,f12753]) ).
fof(f20221,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(X1,X0)))
| is_a_theorem(implies(implies(X2,X1),implies(X2,X0))) ),
inference(resolution,[],[f20099,f861]) ).
fof(f21185,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f19817,f861]) ).
fof(f21289,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f21185,f161]) ).
fof(f22900,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[],[f21289,f1]) ).
fof(f22952,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(not(X2),X1)) ),
inference(resolution,[],[f22900,f29]) ).
fof(f23447,plain,
! [X0] :
( is_a_theorem(implies(sF3,implies(X0,sF10)))
| ~ is_a_theorem(implies(not(sF10),sF1)) ),
inference(resolution,[],[f22952,f15572]) ).
fof(f23448,plain,
! [X0] :
( is_a_theorem(implies(sF5,implies(X0,sF10)))
| ~ is_a_theorem(implies(not(sF10),sF6)) ),
inference(resolution,[],[f22952,f2879]) ).
fof(f23495,plain,
! [X0] : is_a_theorem(implies(sF5,implies(X0,sF10))),
inference(forward_subsumption_resolution,[],[f23448,f3584]) ).
fof(f23496,plain,
! [X0] : is_a_theorem(implies(sF3,implies(X0,sF10))),
inference(forward_subsumption_resolution,[],[f23447,f4039]) ).
fof(f23571,plain,
! [X0] : is_a_theorem(implies(implies(X0,sF3),implies(X0,sF10))),
inference(resolution,[],[f23496,f4187]) ).
fof(f23665,plain,
is_a_theorem(implies(sF4,implies(sF0,sF10))),
inference(superposition,[],[f23571,f15]) ).
fof(f23676,plain,
! [X0] :
( is_a_theorem(implies(sF4,implies(X0,sF10)))
| ~ is_a_theorem(implies(not(sF10),sF0)) ),
inference(resolution,[],[f23665,f22952]) ).
fof(f23688,definition,
( spl11_298
<=> is_a_theorem(implies(not(sF10),sF0)) ),
introduced(definition,[new_symbols(definition,[spl11_298])],[avatar_definition]) ).
fof(f23690,plain,
( ~ is_a_theorem(implies(not(sF10),sF0))
| spl11_298 ),
inference(avatar_component_clause,[],[f23688]) ).
fof(f23692,definition,
( spl11_299
<=> ! [X0] : is_a_theorem(implies(sF4,implies(X0,sF10))) ),
introduced(definition,[new_symbols(definition,[spl11_299])],[avatar_definition]) ).
fof(f23693,plain,
( ! [X0] : is_a_theorem(implies(sF4,implies(X0,sF10)))
| ~ spl11_299 ),
inference(avatar_component_clause,[],[f23692]) ).
fof(f23694,plain,
( ~ spl11_298
| spl11_299 ),
inference(avatar_split_clause,[],[f23676,f23692,f23688]) ).
fof(f23792,plain,
! [X0] : is_a_theorem(implies(implies(X0,sF5),implies(X0,sF10))),
inference(resolution,[],[f23495,f4187]) ).
fof(f23875,plain,
is_a_theorem(implies(implies(sF6,sF5),sF10)),
inference(resolution,[],[f23792,f5161]) ).
fof(f24096,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF6,sF5)))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f23875,f141]) ).
fof(f24126,plain,
is_a_theorem(implies(implies(sF6,c),sF10)),
inference(resolution,[],[f24096,f1722]) ).
fof(f24197,plain,
! [X0] : is_a_theorem(implies(X0,implies(c,sF10))),
inference(resolution,[],[f24126,f1740]) ).
fof(f24307,plain,
! [X0] : is_a_theorem(implies(implies(X0,c),implies(X0,sF10))),
inference(resolution,[],[f24197,f20221]) ).
fof(f24399,plain,
! [X0] : is_a_theorem(implies(implies(X0,implies(not(sF10),c)),implies(X0,sF10))),
inference(resolution,[],[f24307,f4187]) ).
fof(f25770,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(sF10),c)))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f24399,f1]) ).
fof(f25844,plain,
is_a_theorem(implies(implies(not(c),sF10),sF10)),
inference(resolution,[],[f25770,f11999]) ).
fof(f25922,plain,
is_a_theorem(implies(implies(sF1,sF10),sF10)),
inference(forward_demodulation,[],[f25844,f9]) ).
fof(f25937,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF1,sF10)))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f25922,f141]) ).
fof(f25987,plain,
is_a_theorem(implies(implies(sF1,sF9),sF10)),
inference(resolution,[],[f25937,f1724]) ).
fof(f26023,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),sF10))
| ~ is_a_theorem(implies(X0,implies(sF1,sF10))) ),
inference(resolution,[],[f25937,f661]) ).
fof(f26337,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF1,sF9)))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f25987,f141]) ).
fof(f26377,plain,
is_a_theorem(implies(implies(sF1,sF8),sF10)),
inference(resolution,[],[f26337,f1725]) ).
fof(f26459,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF1,sF8)))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f26377,f141]) ).
fof(f26822,plain,
is_a_theorem(implies(implies(sF1,a),sF10)),
inference(resolution,[],[f26459,f1718]) ).
fof(f26903,plain,
! [X0] : is_a_theorem(implies(X0,implies(a,sF10))),
inference(resolution,[],[f26822,f1740]) ).
fof(f26988,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(a,sF10),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f26903,f6346]) ).
fof(f27800,plain,
is_a_theorem(implies(not(sF10),sF0)),
inference(resolution,[],[f26988,f13373]) ).
fof(f27844,plain,
( $false
| spl11_298 ),
inference(forward_subsumption_resolution,[],[f27800,f23690]) ).
fof(f27845,plain,
spl11_298,
inference(avatar_contradiction_clause,[],[f27844]) ).
fof(f32536,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X0),X0)))
| ~ is_a_theorem(implies(X0,implies(sF1,sF10)))
| is_a_theorem(implies(X1,sF10)) ),
inference(resolution,[],[f26023,f141]) ).
fof(f33379,plain,
( ~ is_a_theorem(implies(sF9,implies(sF1,sF10)))
| is_a_theorem(implies(implies(not(sF9),falsehood),sF10)) ),
inference(resolution,[],[f32536,f2214]) ).
fof(f33469,plain,
is_a_theorem(implies(implies(not(sF9),falsehood),sF10)),
inference(forward_subsumption_resolution,[],[f33379,f3441]) ).
fof(f33656,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(sF9),falsehood)))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f33469,f141]) ).
fof(f33716,plain,
! [X0] : is_a_theorem(implies(not(implies(sF9,X0)),sF10)),
inference(resolution,[],[f33656,f8583]) ).
fof(f34890,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(sF9,X0),X1))
| is_a_theorem(implies(not(X1),sF10)) ),
inference(resolution,[],[f33716,f11151]) ).
fof(f34979,plain,
! [X0,X1] :
( is_a_theorem(implies(not(implies(X0,X1)),sF10))
| ~ is_a_theorem(implies(X0,sF9)) ),
inference(resolution,[],[f34890,f5008]) ).
fof(f35079,plain,
( is_a_theorem(implies(not(sF7),sF10))
| ~ is_a_theorem(implies(falsehood,sF9)) ),
inference(superposition,[],[f34979,f21]) ).
fof(f35088,plain,
is_a_theorem(implies(not(sF7),sF10)),
inference(forward_subsumption_resolution,[],[f35079,f1736]) ).
fof(f35106,plain,
! [X0] :
( is_a_theorem(implies(not(sF10),X0))
| ~ is_a_theorem(implies(sF7,X0)) ),
inference(resolution,[],[f35088,f11462]) ).
fof(f36722,plain,
! [X0] :
( ~ is_a_theorem(implies(sF7,implies(X0,sF10)))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f35106,f11246]) ).
fof(f36945,plain,
is_a_theorem(implies(implies(sF7,sF10),sF10)),
inference(resolution,[],[f36722,f2774]) ).
fof(f36973,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF7,sF10)))
| is_a_theorem(implies(X0,sF10)) ),
inference(resolution,[],[f36945,f141]) ).
fof(f37064,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),sF10))
| ~ is_a_theorem(implies(X0,implies(sF7,sF10))) ),
inference(resolution,[],[f36973,f661]) ).
fof(f38276,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X0),X0)))
| ~ is_a_theorem(implies(X0,implies(sF7,sF10)))
| is_a_theorem(implies(X1,sF10)) ),
inference(resolution,[],[f37064,f141]) ).
fof(f39202,plain,
! [X0,X1] :
( is_a_theorem(implies(not(implies(X0,X1)),sF10))
| ~ is_a_theorem(implies(X0,implies(sF7,sF10))) ),
inference(resolution,[],[f38276,f8583]) ).
fof(f40913,plain,
( is_a_theorem(implies(not(sF5),sF10))
| ~ is_a_theorem(implies(sF4,implies(sF7,sF10))) ),
inference(superposition,[],[f39202,f17]) ).
fof(f40917,plain,
( ~ is_a_theorem(implies(sF4,implies(sF7,sF10)))
| spl11_87 ),
inference(forward_subsumption_resolution,[],[f40913,f11813]) ).
fof(f40928,plain,
( $false
| spl11_87
| ~ spl11_299 ),
inference(forward_subsumption_resolution,[],[f40917,f23693]) ).
fof(f40929,plain,
( spl11_87
| ~ spl11_299 ),
inference(avatar_contradiction_clause,[],[f40928]) ).
cnf(s56,plain,
( spl11_66
| ~ spl11_87 ),
inference(sat_conversion,[],[f3288]) ).
cnf(s286,plain,
~ spl11_66,
inference(sat_conversion,[],[f15851]) ).
cnf(s355,plain,
( ~ spl11_298
| spl11_299 ),
inference(sat_conversion,[],[f23694]) ).
cnf(s477,plain,
spl11_298,
inference(sat_conversion,[],[f27845]) ).
cnf(s778,plain,
( spl11_87
| ~ spl11_299 ),
inference(sat_conversion,[],[f40929]) ).
cnf(s798,plain,
spl11_299,
inference(rat,[],[s355,s477]) ).
cnf(s799,plain,
spl11_87,
inference(rat,[],[s778,s798]) ).
cnf(s870,plain,
$false,
inference(rat,[],[s56,s799,s286]) ).
fof(f40932,plain,
$false,
inference(avatar_sat_refutation,[],[s870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL063-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n012.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 15:19:50 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.93/2.50 % (2499079)Input is clausal, will run a generic CNF schedule.
% 11.93/2.50 % (2499087)lrs+10_1_sil=8000:sp=occurrence:random_seed=28946731:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.93/2.50 % (2499084)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2010356815:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.93/2.50 % (2499086)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=601477842:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.93/2.50 % (2499085)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=469609070:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.93/2.50 % (2499088)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3833837428:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.93/2.50 % (2499090)dis-21_1_sil=8000:lcm=predicate:random_seed=1005054305:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.93/2.50 % (2499089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2306556596:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.93/2.50 % (2499087)Instruction limit reached!
% 11.93/2.50 % (2499087)------------------------------
% 11.93/2.50 % (2499087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.50 % (2499087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.50 % (2499087)CaDiCaL version: 2.1.3
% 11.93/2.50 % (2499087)Termination reason: Instruction limit
% 11.93/2.50 % (2499087)Termination phase: Saturation
% 11.93/2.50 % (2499087)Time elapsed: 0.054 s
% 11.93/2.50 % (2499087)Peak memory usage: 88 MB
% 11.93/2.50 % (2499087)Instructions burned: 108 (million)
% 11.93/2.50 % (2499088)Instruction limit reached!
% 11.93/2.50 % (2499088)------------------------------
% 11.93/2.50 % (2499088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.50 % (2499088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.50 % (2499088)CaDiCaL version: 2.1.3
% 11.93/2.50 % (2499088)Termination reason: Instruction limit
% 11.93/2.50 % (2499088)Termination phase: Saturation
% 11.93/2.50 % (2499088)Time elapsed: 0.064 s
% 11.93/2.50 % (2499088)Peak memory usage: 88 MB
% 11.93/2.50 % (2499088)Instructions burned: 114 (million)
% 11.93/2.50 % (2499090)Instruction limit reached!
% 11.93/2.50 % (2499090)------------------------------
% 11.93/2.50 % (2499090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.50 % (2499090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.50 % (2499090)CaDiCaL version: 2.1.3
% 11.93/2.50 % (2499090)Termination reason: Instruction limit
% 11.93/2.50 % (2499090)Termination phase: Saturation
% 11.93/2.50 % (2499090)Time elapsed: 0.059 s
% 11.93/2.50 % (2499090)Peak memory usage: 88 MB
% 11.93/2.50 % (2499090)Instructions burned: 117 (million)
% 11.93/2.50 % (2499089)Instruction limit reached!
% 11.93/2.50 % (2499089)------------------------------
% 11.93/2.50 % (2499089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.50 % (2499089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.50 % (2499089)CaDiCaL version: 2.1.3
% 11.93/2.50 % (2499089)Termination reason: Instruction limit
% 11.93/2.50 % (2499089)Termination phase: Saturation
% 11.93/2.50 % (2499089)Time elapsed: 0.094 s
% 11.93/2.50 % (2499089)Peak memory usage: 89 MB
% 11.93/2.50 % (2499089)Instructions burned: 181 (million)
% 11.93/2.50 % (2499098)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4068318523:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.93/2.50 % (2499098)Refutation not found, incomplete strategy
% 11.93/2.50 % (2499098)------------------------------
% 11.93/2.50 % (2499098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.93/2.50 % (2499098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.93/2.50 % (2499098)CaDiCaL version: 2.1.3
% 11.93/2.50 % (2499098)Termination reason: Refutation not found, incomplete strategy
% 11.93/2.50 % (2499098)Time elapsed: 0.001 s
% 11.93/2.50 % (2499098)Peak memory usage: 87 MB
% 11.93/2.50 % (2499099)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=240970060:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 20.53/3.80 % (2499100)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2281103127:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 20.53/3.80 % (2499100)Refutation not found, incomplete strategy
% 20.53/3.80 % (2499100)------------------------------
% 20.53/3.80 % (2499100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.80 % (2499100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.80 % (2499100)CaDiCaL version: 2.1.3
% 20.53/3.80 % (2499100)Termination reason: Refutation not found, incomplete strategy
% 20.53/3.80 % (2499100)Time elapsed: 0.001 s
% 20.53/3.80 % (2499100)Peak memory usage: 87 MB
% 20.53/3.80 % (2499101)lrs+10_64_to=lpo:sil=8000:random_seed=3871995439:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 20.53/3.80 % (2499099)Instruction limit reached!
% 20.53/3.80 % (2499099)------------------------------
% 20.53/3.80 % (2499099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.80 % (2499099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.80 % (2499099)CaDiCaL version: 2.1.3
% 20.53/3.80 % (2499099)Termination reason: Instruction limit
% 20.53/3.80 % (2499099)Termination phase: Saturation
% 20.53/3.80 % (2499099)Time elapsed: 0.092 s
% 20.53/3.80 % (2499099)Peak memory usage: 89 MB
% 20.53/3.80 % (2499099)Instructions burned: 190 (million)
% 20.53/3.80 % (2499101)Instruction limit reached!
% 20.53/3.80 % (2499101)------------------------------
% 20.53/3.80 % (2499101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.80 % (2499101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.80 % (2499101)CaDiCaL version: 2.1.3
% 20.53/3.80 % (2499101)Termination reason: Instruction limit
% 20.53/3.80 % (2499101)Termination phase: Saturation
% 20.53/3.80 % (2499101)Time elapsed: 0.063 s
% 20.53/3.80 % (2499101)Peak memory usage: 88 MB
% 20.53/3.80 % (2499101)Instructions burned: 128 (million)
% 20.53/3.80 % (2499098)------------------------------
% 20.53/3.80 % (2499098)------------------------------
% 20.53/3.80 % (2499100)------------------------------
% 20.53/3.80 % (2499100)------------------------------
% 20.53/3.80 % (2499106)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=811706346:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 20.53/3.80 % (2499107)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4108162504:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 20.53/3.80 % (2499107)Instruction limit reached!
% 20.53/3.80 % (2499107)------------------------------
% 20.53/3.80 % (2499107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.80 % (2499107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.80 % (2499107)CaDiCaL version: 2.1.3
% 20.53/3.80 % (2499107)Termination reason: Instruction limit
% 20.53/3.80 % (2499107)Termination phase: Saturation
% 20.53/3.80 % (2499107)Time elapsed: 0.086 s
% 20.53/3.80 % (2499107)Peak memory usage: 91 MB
% 20.53/3.80 % (2499107)Instructions burned: 158 (million)
% 20.53/3.80 % (2499108)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1859661596:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 20.53/3.80 % (2499106)Instruction limit reached!
% 20.53/3.80 % (2499106)------------------------------
% 20.53/3.80 % (2499106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.80 % (2499106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.53/3.80 % (2499106)CaDiCaL version: 2.1.3
% 20.53/3.80 % (2499106)Termination reason: Instruction limit
% 20.53/3.80 % (2499106)Termination phase: Saturation
% 20.53/3.80 % (2499106)Time elapsed: 0.111 s
% 20.53/3.80 % (2499106)Peak memory usage: 90 MB
% 20.53/3.80 % (2499106)Instructions burned: 195 (million)
% 20.53/3.80 % (2499109)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1467311613:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 20.53/3.80 % (2499109)Instruction limit reached!
% 20.53/3.80 % (2499109)------------------------------
% 20.53/3.80 % (2499109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.53/3.80 % (2499109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/5.31 % (2499109)CaDiCaL version: 2.1.3
% 31.65/5.31 % (2499109)Termination reason: Instruction limit
% 31.65/5.31 % (2499109)Termination phase: Saturation
% 31.65/5.31 % (2499109)Time elapsed: 0.051 s
% 31.65/5.31 % (2499109)Peak memory usage: 88 MB
% 31.65/5.31 % (2499109)Instructions burned: 108 (million)
% 31.65/5.31 % (2499112)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1276462385:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 31.65/5.31 % (2499112)Refutation not found, incomplete strategy
% 31.65/5.31 % (2499112)------------------------------
% 31.65/5.31 % (2499112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/5.31 % (2499112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/5.31 % (2499112)CaDiCaL version: 2.1.3
% 31.65/5.31 % (2499112)Termination reason: Refutation not found, incomplete strategy
% 31.65/5.31 % (2499112)Time elapsed: 0.0000 s
% 31.65/5.31 % (2499112)Peak memory usage: 87 MB
% 31.65/5.31 % (2499114)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3432667004:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 31.65/5.31 % (2499116)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1953714725:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 31.65/5.31 % (2499114)Instruction limit reached!
% 31.65/5.31 % (2499114)------------------------------
% 31.65/5.31 % (2499114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/5.31 % (2499114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/5.31 % (2499114)CaDiCaL version: 2.1.3
% 31.65/5.31 % (2499114)Termination reason: Instruction limit
% 31.65/5.31 % (2499114)Termination phase: Saturation
% 31.65/5.31 % (2499114)Time elapsed: 0.128 s
% 31.65/5.31 % (2499114)Peak memory usage: 89 MB
% 31.65/5.31 % (2499114)Instructions burned: 243 (million)
% 31.65/5.31 % (2499112)------------------------------
% 31.65/5.31 % (2499112)------------------------------
% 31.65/5.31 % (2499120)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1836735115:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 31.65/5.31 % (2499120)Instruction limit reached!
% 31.65/5.31 % (2499120)------------------------------
% 31.65/5.31 % (2499120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/5.31 % (2499120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/5.31 % (2499120)CaDiCaL version: 2.1.3
% 31.65/5.31 % (2499120)Termination reason: Instruction limit
% 31.65/5.31 % (2499120)Termination phase: Saturation
% 31.65/5.31 % (2499120)Time elapsed: 0.072 s
% 31.65/5.31 % (2499120)Peak memory usage: 89 MB
% 31.65/5.31 % (2499120)Instructions burned: 135 (million)
% 31.65/5.31 % (2499121)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2873213956:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 31.65/5.31 % (2499124)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=806647888:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 31.65/5.31 % (2499121)Instruction limit reached!
% 31.65/5.31 % (2499121)------------------------------
% 31.65/5.31 % (2499121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/5.31 % (2499121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/5.31 % (2499121)CaDiCaL version: 2.1.3
% 31.65/5.31 % (2499121)Termination reason: Instruction limit
% 31.65/5.31 % (2499121)Termination phase: Saturation
% 31.65/5.31 % (2499121)Time elapsed: 0.241 s
% 31.65/5.31 % (2499121)Peak memory usage: 93 MB
% 31.65/5.31 % (2499121)Instructions burned: 500 (million)
% 31.65/5.31 % (2499124)Instruction limit reached!
% 31.65/5.31 % (2499124)------------------------------
% 31.65/5.31 % (2499124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/5.31 % (2499124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/5.31 % (2499124)CaDiCaL version: 2.1.3
% 31.65/5.31 % (2499124)Termination reason: Instruction limit
% 31.65/5.31 % (2499124)Termination phase: Saturation
% 31.65/5.31 % (2499124)Time elapsed: 0.103 s
% 31.65/5.31 % (2499124)Peak memory usage: 91 MB
% 31.65/5.31 % (2499124)Instructions burned: 193 (million)
% 31.65/5.31 % (2499126)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1193631474:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 21.32/6.62 % (2499127)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3971402595:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 21.32/6.62 % (2499127)Instruction limit reached!
% 21.32/6.62 % (2499127)------------------------------
% 21.32/6.62 % (2499127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.62 % (2499127)CaDiCaL version: 2.1.3
% 21.32/6.62 % (2499127)Termination reason: Instruction limit
% 21.32/6.62 % (2499127)Termination phase: Saturation
% 21.32/6.62 % (2499127)Time elapsed: 0.071 s
% 21.32/6.62 % (2499127)Peak memory usage: 89 MB
% 21.32/6.62 % (2499127)Instructions burned: 156 (million)
% 21.32/6.62 % (2499126)Instruction limit reached!
% 21.32/6.62 % (2499126)------------------------------
% 21.32/6.62 % (2499126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.62 % (2499126)CaDiCaL version: 2.1.3
% 21.32/6.62 % (2499126)Termination reason: Instruction limit
% 21.32/6.62 % (2499126)Termination phase: Saturation
% 21.32/6.62 % (2499126)Time elapsed: 0.145 s
% 21.32/6.62 % (2499126)Peak memory usage: 91 MB
% 21.32/6.62 % (2499126)Instructions burned: 265 (million)
% 21.32/6.62 % (2499130)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=795319491:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 21.32/6.62 % (2499131)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2444486870:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 21.32/6.62 % (2499131)Instruction limit reached!
% 21.32/6.62 % (2499131)------------------------------
% 21.32/6.62 % (2499131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.62 % (2499131)CaDiCaL version: 2.1.3
% 21.32/6.62 % (2499131)Termination reason: Instruction limit
% 21.32/6.62 % (2499131)Termination phase: Saturation
% 21.32/6.62 % (2499131)Time elapsed: 0.302 s
% 21.32/6.62 % (2499131)Peak memory usage: 92 MB
% 21.32/6.62 % (2499131)Instructions burned: 537 (million)
% 21.32/6.62 % (2499135)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=958860825:i=180:bd=preordered:av=off_2977 on theBenchmark for (2977ds/180Mi)
% 21.32/6.62 % (2499135)Instruction limit reached!
% 21.32/6.62 % (2499135)------------------------------
% 21.32/6.62 % (2499135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.62 % (2499135)CaDiCaL version: 2.1.3
% 21.32/6.62 % (2499135)Termination reason: Instruction limit
% 21.32/6.62 % (2499135)Termination phase: Saturation
% 21.32/6.62 % (2499135)Time elapsed: 0.081 s
% 21.32/6.62 % (2499135)Peak memory usage: 88 MB
% 21.32/6.62 % (2499135)Instructions burned: 180 (million)
% 21.32/6.62 % (2499108)Instruction limit reached!
% 21.32/6.62 % (2499108)------------------------------
% 21.32/6.62 % (2499108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.62 % (2499108)CaDiCaL version: 2.1.3
% 21.32/6.62 % (2499108)Termination reason: Instruction limit
% 21.32/6.62 % (2499108)Termination phase: Saturation
% 21.32/6.62 % (2499108)Time elapsed: 1.828 s
% 21.32/6.62 % (2499108)Peak memory usage: 150 MB
% 21.32/6.62 % (2499108)Instructions burned: 3395 (million)
% 21.32/6.62 % (2499137)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2468170602:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2974 on theBenchmark for (2974ds/10307Mi)
% 21.32/6.62 % (2499138)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2396701364:i=412:gtgl=4:gtg=exists_all_2974 on theBenchmark for (2974ds/412Mi)
% 21.32/6.62 % (2499138)Instruction limit reached!
% 21.32/6.62 % (2499138)------------------------------
% 21.32/6.62 % (2499138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.62 % (2499138)CaDiCaL version: 2.1.3
% 21.32/6.62 % (2499138)Termination reason: Instruction limit
% 21.32/6.62 % (2499138)Termination phase: Saturation
% 21.32/6.62 % (2499138)Time elapsed: 0.231 s
% 21.32/6.62 % (2499138)Peak memory usage: 95 MB
% 21.32/6.62 % (2499138)Instructions burned: 414 (million)
% 21.32/6.62 % (2499141)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=754094954:s2pl=no:i=8478:s2at=4:nm=6_2970 on theBenchmark for (2970ds/8478Mi)
% 21.32/6.62 % (2499130)Instruction limit reached!
% 21.32/6.62 % (2499130)------------------------------
% 21.32/6.62 % (2499130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.62 % (2499130)CaDiCaL version: 2.1.3
% 21.32/6.62 % (2499130)Termination reason: Instruction limit
% 21.32/6.62 % (2499130)Termination phase: Saturation
% 21.32/6.62 % (2499130)Time elapsed: 1.635 s
% 21.32/6.62 % (2499130)Peak memory usage: 150 MB
% 21.32/6.62 % (2499130)Instructions burned: 3258 (million)
% 21.32/6.62 % (2499143)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2199080007:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2964 on theBenchmark for (2964ds/303Mi)
% 21.32/6.62 % (2499116)Instruction limit reached!
% 21.32/6.62 % (2499116)------------------------------
% 21.32/6.62 % (2499116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.62 % (2499116)CaDiCaL version: 2.1.3
% 21.32/6.62 % (2499116)Termination reason: Instruction limit
% 21.32/6.62 % (2499116)Termination phase: Saturation
% 21.32/6.62 % (2499116)Time elapsed: 2.787 s
% 21.32/6.62 % (2499116)Peak memory usage: 164 MB
% 21.32/6.62 % (2499116)Instructions burned: 5208 (million)
% 21.32/6.62 % (2499143)Instruction limit reached!
% 21.32/6.62 % (2499143)------------------------------
% 21.32/6.62 % (2499143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.62 % (2499143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.63 % (2499143)CaDiCaL version: 2.1.3
% 21.32/6.63 % (2499143)Termination reason: Instruction limit
% 21.32/6.63 % (2499143)Termination phase: Saturation
% 21.32/6.63 % (2499143)Time elapsed: 0.129 s
% 21.32/6.63 % (2499143)Peak memory usage: 90 MB
% 21.32/6.63 % (2499143)Instructions burned: 305 (million)
% 21.32/6.63 % (2499145)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=1011921054:st=4:i=720:sd=3:fsr=off:ss=axioms_2961 on theBenchmark for (2961ds/720Mi)
% 21.32/6.63 % (2499146)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=775636648:i=598:bs=on:bd=preordered:av=off:ss=axioms_2961 on theBenchmark for (2961ds/598Mi)
% 21.32/6.63 % (2499145)Instruction limit reached!
% 21.32/6.63 % (2499145)------------------------------
% 21.32/6.63 % (2499145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.63 % (2499145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.63 % (2499145)CaDiCaL version: 2.1.3
% 21.32/6.63 % (2499145)Termination reason: Instruction limit
% 21.32/6.63 % (2499145)Termination phase: Saturation
% 21.32/6.63 % (2499145)Time elapsed: 0.335 s
% 21.32/6.63 % (2499145)Peak memory usage: 97 MB
% 21.32/6.63 % (2499145)Instructions burned: 721 (million)
% 21.32/6.63 % (2499146)Instruction limit reached!
% 21.32/6.63 % (2499146)------------------------------
% 21.32/6.63 % (2499146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.32/6.63 % (2499146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.32/6.63 % (2499146)CaDiCaL version: 2.1.3
% 21.32/6.63 % (2499146)Termination reason: Instruction limit
% 21.32/6.63 % (2499146)Termination phase: Saturation
% 21.32/6.63 % (2499146)Time elapsed: 0.302 s
% 21.32/6.63 % (2499146)Peak memory usage: 95 MB
% 21.32/6.63 % (2499146)Instructions burned: 598 (million)
% 21.32/6.63 % (2499150)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=728809973:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2956 on theBenchmark for (2956ds/1997Mi)
% 21.32/6.63 % (2499149)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=4066493631:i=2989:sd=3:ss=axioms:sgt=60_2956 on theBenchmark for (2956ds/2989Mi)
% 21.32/6.63 % (2499084)First to succeed.
% 21.32/6.63 % (2499084)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2499079"
% 21.32/6.63 % (2499084)Refutation found. Thanks to Tanya!
% 21.32/6.63 % SZS status Unsatisfiable for theBenchmark
% 21.32/6.63 % SZS output start Proof for theBenchmark
% See solution above
% 37.50/6.82 % (2499084)------------------------------
% 37.50/6.82 % (2499084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.82 % (2499084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.82 % (2499084)CaDiCaL version: 2.1.3
% 37.50/6.82 % (2499084)Termination reason: Refutation
% 37.50/6.82 % (2499084)Time elapsed: 4.935 s
% 37.50/6.82 % (2499084)Peak memory usage: 195 MB
% 37.50/6.82 % (2499084)Instructions burned: 8677 (million)
% 37.50/6.82 % (2499084)------------------------------
% 37.50/6.82 % (2499084)------------------------------
% 37.50/6.82 % (2499079)Success in time 5.803 s
% 37.50/6.82 % Vampire exiting
%------------------------------------------------------------------------------