%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL316-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:51:57 AM UTC 2026
% Result : Unsatisfiable 7.32s 13.61s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 34
% Syntax : Number of formulae : 235 ( 235 unt; 22 def)
% Number of atoms : 235 ( 234 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 26 con; 0-4 aty)
% Number of variables : 206 ( 206 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f4,plain,
! [X0,X1] : true = axiom(implies(X0,or(X1,X0))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f6,plain,
! [X0,X1] : true = axiom(implies(or(X0,X1),or(X1,X0))),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f8,plain,
! [X2,X0,X1] : true = axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f10,plain,
! [X2,X0,X1] : true = axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f13,plain,
! [X0] : true = ifeq(axiom(X0),true,theorem(X0),true),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f15,plain,
! [X0,X1] : true = ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f17,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f18,negated_conjecture,
theorem(implies(equivalent(p,q),equivalent(implies(r,p),implies(r,q)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(implies(equivalent(p,q),equivalent(implies(r,p),implies(r,q)))),
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f17,f16,f11,f11]) ).
fof(f21,plain,
true != theorem(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(or(not(or(not(or(not(r),p)),or(not(r),q))),not(or(not(or(not(r),q)),or(not(r),p))))))),
inference(definition_unfolding,[],[f19,f11,f20,f20,f11,f11]) ).
fof(f22,plain,
! [X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(definition_unfolding,[],[f15,f11]) ).
fof(f23,plain,
! [X2,X0,X1] : true = axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f10,f11,f11,f11]) ).
fof(f24,plain,
! [X2,X0,X1] : true = axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f8,f11]) ).
fof(f25,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f6,f11]) ).
fof(f26,plain,
! [X0,X1] : true = axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f4,f11]) ).
fof(f27,plain,
! [X0] : true = axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f2,f11]) ).
fof(f28,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f29,plain,
not(p) = sF0,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f31,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f33,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF3 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
not(q) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = or(sF3,p),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
or(sF3,p) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF6 = or(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
or(sF2,sF5) = sF6,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = not(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = not(r),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
not(r) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = or(sF9,p),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
or(sF9,p) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = not(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
not(sF10) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = or(sF9,q),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
or(sF9,q) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = or(sF11,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
or(sF11,sF12) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = not(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
not(sF13) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = not(sF12),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
not(sF12) = sF15,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF16 = or(sF15,sF10),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f61,plain,
or(sF15,sF10) = sF16,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF17 = not(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f63,plain,
not(sF16) = sF17,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF18 = or(sF14,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f65,plain,
or(sF14,sF17) = sF18,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF19 = not(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f67,plain,
not(sF18) = sF19,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF20 = or(sF8,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f69,plain,
or(sF8,sF19) = sF20,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF21 = theorem(sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f71,plain,
theorem(sF20) = sF21,
inference(reorient_equations,[],[f70]) ).
fof(f72,plain,
true != sF21,
inference(definition_folding,[],[f21,f71,f69,f67,f65,f63,f61,f49,f47,f59,f53,f47,f57,f55,f53,f47,f51,f49,f47,f45,f43,f41,f39,f37,f35,f33,f31,f29]) ).
fof(f96,plain,
! [X0] : true = ifeq(theorem(or(not(X0),sF20)),true,ifeq(theorem(X0),true,sF21,true),true),
inference(superposition,[],[f22,f71]) ).
fof(f156,plain,
! [X0] : true = axiom(or(not(or(not(p),X0)),or(not(sF10),or(sF9,X0)))),
inference(superposition,[],[f23,f49]) ).
fof(f162,plain,
! [X0] : true = axiom(or(not(or(not(p),X0)),or(sF11,or(sF9,X0)))),
inference(forward_demodulation,[],[f156,f51]) ).
fof(f163,plain,
! [X0] : true = axiom(or(not(or(sF0,X0)),or(sF11,or(sF9,X0)))),
inference(forward_demodulation,[],[f162,f29]) ).
fof(f167,plain,
! [X0] : true = axiom(or(not(or(not(q),X0)),or(not(sF12),or(sF9,X0)))),
inference(superposition,[],[f23,f53]) ).
fof(f173,plain,
! [X0] : true = axiom(or(not(or(not(q),X0)),or(sF15,or(sF9,X0)))),
inference(forward_demodulation,[],[f167,f59]) ).
fof(f174,plain,
! [X0] : true = axiom(or(not(or(sF3,X0)),or(sF15,or(sF9,X0)))),
inference(forward_demodulation,[],[f173,f35]) ).
fof(f202,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f13,f25]) ).
fof(f203,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),true),
inference(superposition,[],[f13,f24]) ).
fof(f204,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),true),
inference(superposition,[],[f13,f23]) ).
fof(f205,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,X0)),X0)),true),
inference(superposition,[],[f13,f27]) ).
fof(f206,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true),
inference(superposition,[],[f13,f26]) ).
fof(f208,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X1,X0))),
inference(forward_demodulation,[],[f206,f1]) ).
fof(f209,plain,
! [X0] : true = theorem(or(not(or(X0,X0)),X0)),
inference(forward_demodulation,[],[f205,f1]) ).
fof(f210,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f204,f1]) ).
fof(f211,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f212,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f202,f1]) ).
fof(f231,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true),
inference(superposition,[],[f22,f211]) ).
fof(f237,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f231,f1]) ).
fof(f268,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X2,X0)),or(X2,X1))),true),true),
inference(superposition,[],[f22,f210]) ).
fof(f274,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X2,X0)),or(X2,X1))),true),
inference(forward_demodulation,[],[f268,f1]) ).
fof(f314,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f22,f212]) ).
fof(f320,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f314,f1]) ).
fof(f345,plain,
true = theorem(or(not(p),sF10)),
inference(superposition,[],[f208,f49]) ).
fof(f360,plain,
true = theorem(or(sF0,sF10)),
inference(forward_demodulation,[],[f345,f29]) ).
fof(f373,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),true),
inference(superposition,[],[f237,f210]) ).
fof(f396,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),
inference(forward_demodulation,[],[f373,f1]) ).
fof(f428,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X1),X2)),or(X0,X2))),true),true),
inference(superposition,[],[f22,f396]) ).
fof(f437,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X1),X2)),or(X0,X2))),true),
inference(forward_demodulation,[],[f428,f1]) ).
fof(f467,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f274,f212]) ).
fof(f468,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),true),
inference(superposition,[],[f274,f209]) ).
fof(f469,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f274,f208]) ).
fof(f503,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f469,f1]) ).
fof(f504,plain,
! [X0,X1] : true = theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f468,f1]) ).
fof(f505,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f467,f1]) ).
fof(f535,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),true),
inference(superposition,[],[f22,f505]) ).
fof(f543,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f535,f1]) ).
fof(f561,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true),
inference(superposition,[],[f543,f208]) ).
fof(f580,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X0,X1))),
inference(forward_demodulation,[],[f561,f1]) ).
fof(f641,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),true),
inference(superposition,[],[f22,f503]) ).
fof(f652,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f641,f1]) ).
fof(f684,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f274,f580]) ).
fof(f698,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f684,f1]) ).
fof(f759,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),true),
inference(superposition,[],[f22,f504]) ).
fof(f773,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),
inference(forward_demodulation,[],[f759,f1]) ).
fof(f783,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(X0),X0)),true),
inference(superposition,[],[f773,f580]) ).
fof(f806,plain,
! [X0] : true = theorem(or(not(X0),X0)),
inference(forward_demodulation,[],[f783,f1]) ).
fof(f836,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f320,f806]) ).
fof(f842,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(forward_demodulation,[],[f836,f1]) ).
fof(f850,plain,
true = theorem(or(p,sF0)),
inference(superposition,[],[f842,f29]) ).
fof(f865,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),true),
inference(superposition,[],[f274,f842]) ).
fof(f885,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),
inference(forward_demodulation,[],[f865,f1]) ).
fof(f901,plain,
! [X0] : true = theorem(or(not(or(X0,sF6)),or(X0,not(sF7)))),
inference(superposition,[],[f885,f43]) ).
fof(f930,plain,
! [X0] : true = theorem(or(not(or(X0,sF6)),or(X0,sF8))),
inference(forward_demodulation,[],[f901,f45]) ).
fof(f1138,plain,
true = axiom(or(not(or(sF0,q)),or(sF11,sF12))),
inference(superposition,[],[f163,f53]) ).
fof(f1141,plain,
true = axiom(or(not(or(sF0,q)),sF13)),
inference(forward_demodulation,[],[f1138,f55]) ).
fof(f1143,plain,
true = axiom(or(not(sF1),sF13)),
inference(forward_demodulation,[],[f1141,f31]) ).
fof(f1145,plain,
true = axiom(or(sF2,sF13)),
inference(forward_demodulation,[],[f1143,f33]) ).
fof(f1147,plain,
true = ifeq(true,true,theorem(or(sF2,sF13)),true),
inference(superposition,[],[f13,f1145]) ).
fof(f1148,plain,
true = theorem(or(sF2,sF13)),
inference(forward_demodulation,[],[f1147,f1]) ).
fof(f1151,plain,
true = ifeq(true,true,theorem(or(sF13,sF2)),true),
inference(superposition,[],[f320,f1148]) ).
fof(f1160,plain,
true = theorem(or(sF13,sF2)),
inference(forward_demodulation,[],[f1151,f1]) ).
fof(f1188,plain,
true = axiom(or(not(or(sF3,p)),or(sF15,sF10))),
inference(superposition,[],[f174,f49]) ).
fof(f1192,plain,
true = axiom(or(not(or(sF3,p)),sF16)),
inference(forward_demodulation,[],[f1188,f61]) ).
fof(f1194,plain,
true = axiom(or(not(sF4),sF16)),
inference(forward_demodulation,[],[f1192,f37]) ).
fof(f1196,plain,
true = axiom(or(sF5,sF16)),
inference(forward_demodulation,[],[f1194,f39]) ).
fof(f1198,plain,
true = ifeq(true,true,theorem(or(sF5,sF16)),true),
inference(superposition,[],[f13,f1196]) ).
fof(f1199,plain,
true = theorem(or(sF5,sF16)),
inference(forward_demodulation,[],[f1198,f1]) ).
fof(f1202,plain,
true = ifeq(true,true,theorem(or(sF16,sF5)),true),
inference(superposition,[],[f320,f1199]) ).
fof(f1211,plain,
true = theorem(or(sF16,sF5)),
inference(forward_demodulation,[],[f1202,f1]) ).
fof(f1255,plain,
! [X0] : true = ifeq(theorem(or(X0,sF5)),true,theorem(or(X0,sF6)),true),
inference(superposition,[],[f652,f41]) ).
fof(f1340,plain,
true = ifeq(true,true,theorem(or(sF16,sF6)),true),
inference(superposition,[],[f1255,f1211]) ).
fof(f1344,plain,
true = theorem(or(sF16,sF6)),
inference(forward_demodulation,[],[f1340,f1]) ).
fof(f1382,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X1,X0)),X2)),or(not(X0),X2))),true),
inference(superposition,[],[f437,f208]) ).
fof(f1433,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X1,X0)),X2)),or(not(X0),X2))),
inference(forward_demodulation,[],[f1382,f1]) ).
fof(f1695,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),true),
inference(superposition,[],[f22,f698]) ).
fof(f1720,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),
inference(forward_demodulation,[],[f1695,f1]) ).
fof(f1769,plain,
! [X0] : true = ifeq(theorem(or(X0,sF0)),true,theorem(or(X0,sF1)),true),
inference(superposition,[],[f1720,f31]) ).
fof(f1770,plain,
! [X0] : true = ifeq(theorem(or(X0,sF2)),true,theorem(or(X0,sF6)),true),
inference(superposition,[],[f1720,f41]) ).
fof(f1854,plain,
true = ifeq(true,true,theorem(or(sF13,sF6)),true),
inference(superposition,[],[f1770,f1160]) ).
fof(f1859,plain,
true = theorem(or(sF13,sF6)),
inference(forward_demodulation,[],[f1854,f1]) ).
fof(f2010,plain,
true = ifeq(true,true,theorem(or(p,sF1)),true),
inference(superposition,[],[f1769,f850]) ).
fof(f2014,plain,
true = theorem(or(p,sF1)),
inference(forward_demodulation,[],[f2010,f1]) ).
fof(f2019,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF1),X0)),or(p,X0))),true),
inference(superposition,[],[f437,f2014]) ).
fof(f2033,plain,
! [X0] : true = theorem(or(not(or(not(sF1),X0)),or(p,X0))),
inference(forward_demodulation,[],[f2019,f1]) ).
fof(f2035,plain,
! [X0] : true = theorem(or(not(or(sF2,X0)),or(p,X0))),
inference(forward_demodulation,[],[f2033,f33]) ).
fof(f2107,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF2,X0)),true,theorem(or(p,X0)),true),true),
inference(superposition,[],[f22,f2035]) ).
fof(f2135,plain,
! [X0] : true = ifeq(theorem(or(sF2,X0)),true,theorem(or(p,X0)),true),
inference(forward_demodulation,[],[f2107,f1]) ).
fof(f2248,plain,
! [X0] : true = theorem(or(not(or(not(sF16),X0)),or(not(sF10),X0))),
inference(superposition,[],[f1433,f61]) ).
fof(f2293,plain,
! [X0] : true = theorem(or(not(or(not(sF16),X0)),or(sF11,X0))),
inference(forward_demodulation,[],[f2248,f51]) ).
fof(f2301,plain,
! [X0] : true = theorem(or(not(or(sF17,X0)),or(sF11,X0))),
inference(forward_demodulation,[],[f2293,f63]) ).
fof(f2309,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF17,X0)),true,theorem(or(sF11,X0)),true),true),
inference(superposition,[],[f22,f2301]) ).
fof(f2337,plain,
! [X0] : true = ifeq(theorem(or(sF17,X0)),true,theorem(or(sF11,X0)),true),
inference(forward_demodulation,[],[f2309,f1]) ).
fof(f2719,plain,
true = ifeq(true,true,theorem(or(p,sF13)),true),
inference(superposition,[],[f2135,f1148]) ).
fof(f2734,plain,
true = theorem(or(p,sF13)),
inference(forward_demodulation,[],[f2719,f1]) ).
fof(f2743,plain,
true = ifeq(true,true,theorem(or(sF13,p)),true),
inference(superposition,[],[f320,f2734]) ).
fof(f2752,plain,
true = theorem(or(sF13,p)),
inference(forward_demodulation,[],[f2743,f1]) ).
fof(f2795,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(p),X0)),or(sF13,X0))),true),
inference(superposition,[],[f437,f2752]) ).
fof(f2810,plain,
! [X0] : true = theorem(or(not(or(not(p),X0)),or(sF13,X0))),
inference(forward_demodulation,[],[f2795,f1]) ).
fof(f2812,plain,
! [X0] : true = theorem(or(not(or(sF0,X0)),or(sF13,X0))),
inference(forward_demodulation,[],[f2810,f29]) ).
fof(f2960,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF0,X0)),true,theorem(or(sF13,X0)),true),true),
inference(superposition,[],[f22,f2812]) ).
fof(f2989,plain,
! [X0] : true = ifeq(theorem(or(sF0,X0)),true,theorem(or(sF13,X0)),true),
inference(forward_demodulation,[],[f2960,f1]) ).
fof(f2994,plain,
true = ifeq(true,true,theorem(or(sF13,sF10)),true),
inference(superposition,[],[f2989,f360]) ).
fof(f3008,plain,
true = theorem(or(sF13,sF10)),
inference(forward_demodulation,[],[f2994,f1]) ).
fof(f3017,plain,
true = ifeq(true,true,theorem(or(sF10,sF13)),true),
inference(superposition,[],[f320,f3008]) ).
fof(f3026,plain,
true = theorem(or(sF10,sF13)),
inference(forward_demodulation,[],[f3017,f1]) ).
fof(f3078,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF13),X0)),or(sF10,X0))),true),
inference(superposition,[],[f437,f3026]) ).
fof(f3093,plain,
! [X0] : true = theorem(or(not(or(not(sF13),X0)),or(sF10,X0))),
inference(forward_demodulation,[],[f3078,f1]) ).
fof(f3095,plain,
! [X0] : true = theorem(or(not(or(sF14,X0)),or(sF10,X0))),
inference(forward_demodulation,[],[f3093,f57]) ).
fof(f3096,plain,
true = theorem(or(not(sF18),or(sF10,sF17))),
inference(superposition,[],[f3095,f65]) ).
fof(f3132,plain,
true = theorem(or(sF19,or(sF10,sF17))),
inference(forward_demodulation,[],[f3096,f67]) ).
fof(f3138,plain,
true = ifeq(true,true,theorem(or(sF10,or(sF19,sF17))),true),
inference(superposition,[],[f237,f3132]) ).
fof(f3157,plain,
true = theorem(or(sF10,or(sF19,sF17))),
inference(forward_demodulation,[],[f3138,f1]) ).
fof(f3175,plain,
true = ifeq(true,true,theorem(or(sF10,or(sF17,sF19))),true),
inference(superposition,[],[f543,f3157]) ).
fof(f3197,plain,
true = theorem(or(sF10,or(sF17,sF19))),
inference(forward_demodulation,[],[f3175,f1]) ).
fof(f3381,plain,
true = ifeq(true,true,theorem(or(sF17,or(sF10,sF19))),true),
inference(superposition,[],[f237,f3197]) ).
fof(f3400,plain,
true = theorem(or(sF17,or(sF10,sF19))),
inference(forward_demodulation,[],[f3381,f1]) ).
fof(f4130,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF6)),true,theorem(or(X0,sF8)),true),true),
inference(superposition,[],[f22,f930]) ).
fof(f4159,plain,
! [X0] : true = ifeq(theorem(or(X0,sF6)),true,theorem(or(X0,sF8)),true),
inference(forward_demodulation,[],[f4130,f1]) ).
fof(f4165,plain,
true = ifeq(true,true,theorem(or(sF13,sF8)),true),
inference(superposition,[],[f4159,f1859]) ).
fof(f4166,plain,
true = ifeq(true,true,theorem(or(sF16,sF8)),true),
inference(superposition,[],[f4159,f1344]) ).
fof(f4170,plain,
true = theorem(or(sF16,sF8)),
inference(forward_demodulation,[],[f4166,f1]) ).
fof(f4171,plain,
true = theorem(or(sF13,sF8)),
inference(forward_demodulation,[],[f4165,f1]) ).
fof(f4183,plain,
true = ifeq(true,true,theorem(or(sF8,sF13)),true),
inference(superposition,[],[f320,f4171]) ).
fof(f4192,plain,
true = theorem(or(sF8,sF13)),
inference(forward_demodulation,[],[f4183,f1]) ).
fof(f4206,plain,
true = ifeq(true,true,theorem(or(sF8,sF16)),true),
inference(superposition,[],[f320,f4170]) ).
fof(f4215,plain,
true = theorem(or(sF8,sF16)),
inference(forward_demodulation,[],[f4206,f1]) ).
fof(f4223,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF13),X0)),or(sF8,X0))),true),
inference(superposition,[],[f437,f4192]) ).
fof(f4238,plain,
! [X0] : true = theorem(or(not(or(not(sF13),X0)),or(sF8,X0))),
inference(forward_demodulation,[],[f4223,f1]) ).
fof(f4240,plain,
! [X0] : true = theorem(or(not(or(sF14,X0)),or(sF8,X0))),
inference(forward_demodulation,[],[f4238,f57]) ).
fof(f4244,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF16),X0)),or(sF8,X0))),true),
inference(superposition,[],[f437,f4215]) ).
fof(f4259,plain,
! [X0] : true = theorem(or(not(or(not(sF16),X0)),or(sF8,X0))),
inference(forward_demodulation,[],[f4244,f1]) ).
fof(f4261,plain,
! [X0] : true = theorem(or(not(or(sF17,X0)),or(sF8,X0))),
inference(forward_demodulation,[],[f4259,f63]) ).
fof(f4305,plain,
true = theorem(or(not(sF18),or(sF8,sF17))),
inference(superposition,[],[f4240,f65]) ).
fof(f4342,plain,
true = theorem(or(sF19,or(sF8,sF17))),
inference(forward_demodulation,[],[f4305,f67]) ).
fof(f4348,plain,
true = ifeq(true,true,theorem(or(sF8,or(sF19,sF17))),true),
inference(superposition,[],[f237,f4342]) ).
fof(f4367,plain,
true = theorem(or(sF8,or(sF19,sF17))),
inference(forward_demodulation,[],[f4348,f1]) ).
fof(f4388,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF17,X0)),true,theorem(or(sF8,X0)),true),true),
inference(superposition,[],[f22,f4261]) ).
fof(f4417,plain,
! [X0] : true = ifeq(theorem(or(sF17,X0)),true,theorem(or(sF8,X0)),true),
inference(forward_demodulation,[],[f4388,f1]) ).
fof(f4420,plain,
true = ifeq(true,true,theorem(or(sF8,or(sF10,sF19))),true),
inference(superposition,[],[f4417,f3400]) ).
fof(f4437,plain,
true = theorem(or(sF8,or(sF10,sF19))),
inference(forward_demodulation,[],[f4420,f1]) ).
fof(f4445,plain,
true = ifeq(true,true,theorem(or(sF10,or(sF8,sF19))),true),
inference(superposition,[],[f237,f4437]) ).
fof(f4464,plain,
true = theorem(or(sF10,or(sF8,sF19))),
inference(forward_demodulation,[],[f4445,f1]) ).
fof(f4466,plain,
true = theorem(or(sF10,sF20)),
inference(forward_demodulation,[],[f4464,f69]) ).
fof(f4475,plain,
true = ifeq(true,true,theorem(or(sF20,sF10)),true),
inference(superposition,[],[f320,f4466]) ).
fof(f4484,plain,
true = theorem(or(sF20,sF10)),
inference(forward_demodulation,[],[f4475,f1]) ).
fof(f4491,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF10),X0)),or(sF20,X0))),true),
inference(superposition,[],[f437,f4484]) ).
fof(f4506,plain,
! [X0] : true = theorem(or(not(or(not(sF10),X0)),or(sF20,X0))),
inference(forward_demodulation,[],[f4491,f1]) ).
fof(f4509,plain,
! [X0] : true = theorem(or(not(or(sF11,X0)),or(sF20,X0))),
inference(forward_demodulation,[],[f4506,f51]) ).
fof(f4521,plain,
true = ifeq(true,true,theorem(or(not(or(sF11,sF20)),sF20)),true),
inference(superposition,[],[f773,f4509]) ).
fof(f4540,plain,
true = theorem(or(not(or(sF11,sF20)),sF20)),
inference(forward_demodulation,[],[f4521,f1]) ).
fof(f5304,plain,
true = ifeq(true,true,theorem(or(sF8,or(sF17,sF19))),true),
inference(superposition,[],[f543,f4367]) ).
fof(f5326,plain,
true = theorem(or(sF8,or(sF17,sF19))),
inference(forward_demodulation,[],[f5304,f1]) ).
fof(f7744,plain,
true = ifeq(true,true,theorem(or(sF17,or(sF8,sF19))),true),
inference(superposition,[],[f237,f5326]) ).
fof(f7770,plain,
true = theorem(or(sF17,or(sF8,sF19))),
inference(forward_demodulation,[],[f7744,f1]) ).
fof(f7771,plain,
true = theorem(or(sF17,sF20)),
inference(forward_demodulation,[],[f7770,f69]) ).
fof(f7776,plain,
true = ifeq(true,true,theorem(or(sF11,sF20)),true),
inference(superposition,[],[f2337,f7771]) ).
fof(f7799,plain,
true = theorem(or(sF11,sF20)),
inference(forward_demodulation,[],[f7776,f1]) ).
fof(f7864,plain,
true = ifeq(theorem(or(not(or(sF11,sF20)),sF20)),true,ifeq(true,true,sF21,true),true),
inference(superposition,[],[f96,f7799]) ).
fof(f7870,plain,
true = ifeq(theorem(or(not(or(sF11,sF20)),sF20)),true,sF21,true),
inference(forward_demodulation,[],[f7864,f1]) ).
fof(f7878,plain,
true = ifeq(true,true,sF21,true),
inference(forward_demodulation,[],[f7870,f4540]) ).
fof(f7879,plain,
true = sF21,
inference(forward_demodulation,[],[f7878,f1]) ).
fof(f7880,plain,
$false,
inference(forward_subsumption_resolution,[],[f7879,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL316-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/10.49 % Computer : n026.cluster.edu
% 0.21/10.49 % Model : x86_64 x86_64
% 0.21/10.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/10.49 % Memory : 8046.5625MB
% 0.21/10.49 % OS : Linux 6.8.0-71-generic
% 0.21/10.49 % CPULimit : 300
% 0.21/10.49 % WCLimit : 300
% 0.21/10.49 % DateTime : Sun Sep 27 15:36:52 UTC 2026
% 0.21/10.49 % CPUTime :
% 0.21/10.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/10.54 Running first-order theorem proving
% 0.25/10.54 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.32/13.61 % (3011377)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.32/13.61 % (3011388)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2652360610:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.32/13.61 % (3011384)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3004823439:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.32/13.61 % (3011382)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1364967558:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.32/13.61 % (3011386)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1071279925:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.32/13.61 % (3011385)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2328492762:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.32/13.61 % (3011387)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1019617073:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.32/13.61 % (3011383)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4293226808:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.32/13.61 % (3011385)Instruction limit reached!
% 7.32/13.61 % (3011385)------------------------------
% 7.32/13.61 % (3011385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/13.61 % (3011385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/13.61 % (3011385)CaDiCaL version: 2.1.3
% 7.32/13.61 % (3011385)Termination reason: Instruction limit
% 7.32/13.61 % (3011385)Termination phase: Saturation
% 7.32/13.61 % (3011385)Time elapsed: 0.138 s
% 7.32/13.61 % (3011385)Peak memory usage: 89 MB
% 7.32/13.61 % (3011385)Instructions burned: 136 (million)
% 7.32/13.61 % (3011386)Instruction limit reached!
% 7.32/13.61 % (3011386)------------------------------
% 7.32/13.61 % (3011386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/13.61 % (3011386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/13.61 % (3011386)CaDiCaL version: 2.1.3
% 7.32/13.61 % (3011386)Termination reason: Instruction limit
% 7.32/13.61 % (3011386)Termination phase: Saturation
% 7.32/13.61 % (3011386)Time elapsed: 0.176 s
% 7.32/13.61 % (3011386)Peak memory usage: 89 MB
% 7.32/13.61 % (3011386)Instructions burned: 182 (million)
% 7.32/13.61 % (3011387)Instruction limit reached!
% 7.32/13.61 % (3011387)------------------------------
% 7.32/13.61 % (3011387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/13.61 % (3011387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/13.61 % (3011387)CaDiCaL version: 2.1.3
% 7.32/13.61 % (3011387)Termination reason: Instruction limit
% 7.32/13.61 % (3011387)Termination phase: Saturation
% 7.32/13.61 % (3011387)Time elapsed: 0.256 s
% 7.32/13.61 % (3011387)Peak memory usage: 91 MB
% 7.32/13.61 % (3011387)Instructions burned: 258 (million)
% 7.32/13.61 % (3011397)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4176466891:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 7.32/13.61 % (3011396)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1763862905:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 7.32/13.61 % (3011398)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2736169146:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 7.32/13.61 % (3011388)Instruction limit reached!
% 7.32/13.61 % (3011388)------------------------------
% 7.32/13.61 % (3011388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/13.61 % (3011388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/13.61 % (3011388)CaDiCaL version: 2.1.3
% 7.32/13.61 % (3011388)Termination reason: Instruction limit
% 7.32/13.61 % (3011388)Termination phase: Saturation
% 7.32/13.61 % (3011388)Time elapsed: 0.643 s
% 7.32/13.61 % (3011388)Peak memory usage: 101 MB
% 7.32/13.61 % (3011388)Instructions burned: 1189 (million)
% 7.32/13.61 % (3011398)Instruction limit reached!
% 7.32/13.61 % (3011398)------------------------------
% 7.32/13.61 % (3011398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/13.61 % (3011398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/13.61 % (3011398)CaDiCaL version: 2.1.3
% 7.32/13.61 % (3011398)Termination reason: Instruction limit
% 7.32/13.61 % (3011398)Termination phase: Saturation
% 7.32/13.61 % (3011398)Time elapsed: 0.175 s
% 7.32/13.61 % (3011398)Peak memory usage: 88 MB
% 7.32/13.61 % (3011398)Instructions burned: 216 (million)
% 7.32/13.61 % (3011402)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1257895781:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 7.32/13.61 % (3011403)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2634267758:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 7.32/13.61 % (3011402)Instruction limit reached!
% 7.32/13.61 % (3011402)------------------------------
% 7.32/13.61 % (3011402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/13.61 % (3011402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/13.61 % (3011402)CaDiCaL version: 2.1.3
% 7.32/13.61 % (3011402)Termination reason: Instruction limit
% 7.32/13.61 % (3011402)Termination phase: Saturation
% 7.32/13.61 % (3011402)Time elapsed: 0.310 s
% 7.32/13.61 % (3011402)Peak memory usage: 94 MB
% 7.32/13.61 % (3011402)Instructions burned: 318 (million)
% 7.32/13.61 % (3011406)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=644380099:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 7.32/13.61 % (3011396)Instruction limit reached!
% 7.32/13.61 % (3011396)------------------------------
% 7.32/13.61 % (3011396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/13.61 % (3011396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/13.61 % (3011396)CaDiCaL version: 2.1.3
% 7.32/13.61 % (3011396)Termination reason: Instruction limit
% 7.32/13.61 % (3011396)Termination phase: Saturation
% 7.32/13.61 % (3011396)Time elapsed: 1.770 s
% 7.32/13.61 % (3011396)Peak memory usage: 143 MB
% 7.32/13.61 % (3011396)Instructions burned: 2051 (million)
% 7.32/13.61 % (3011403)First to succeed.
% 7.32/13.61 % (3011403)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3011377"
% 7.32/13.61 % (3011453)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=859589647:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2976 on theBenchmark for (2976ds/14534Mi)
% 7.32/13.61 % (3011403)Refutation found. Thanks to Tanya!
% 7.32/13.61 % SZS status Unsatisfiable for theBenchmark
% 7.32/13.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/13.81 % (3011403)------------------------------
% 0.28/13.81 % (3011403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/13.81 % (3011403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/13.81 % (3011403)CaDiCaL version: 2.1.3
% 0.28/13.81 % (3011403)Termination reason: Refutation
% 0.28/13.81 % (3011403)Time elapsed: 1.364 s
% 0.28/13.81 % (3011403)Peak memory usage: 148 MB
% 0.28/13.81 % (3011403)Instructions burned: 2943 (million)
% 0.28/13.81 % (3011403)------------------------------
% 0.28/13.81 % (3011403)------------------------------
% 0.28/13.81 % (3011377)Success in time 2.6 s
% 0.28/13.81 % Vampire exiting
%------------------------------------------------------------------------------