%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL270-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:51:50 AM UTC 2026
% Result : Unsatisfiable 30.04s 4.99s
% Output : Refutation 31.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 38
% Syntax : Number of formulae : 187 ( 131 unt; 27 def)
% Number of atoms : 256 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 142 ( 73 ~; 69 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 30 con; 0-2 aty)
% Number of variables : 171 ( 171 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(implies(and(equivalent(p,q),equivalent(q,r)),equivalent(p,r))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(or(not(not(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(not(or(not(or(not(q),r)),not(or(not(r),q)))))))),not(or(not(or(not(p),r)),not(or(not(r),p)))))),
inference(definition_unfolding,[],[f11,f6,f9,f12,f12,f12]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
not(q) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = or(sF3,p),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
or(sF3,p) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = or(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
or(sF2,sF5) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = not(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = or(sF3,r),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF3,r) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = not(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
not(sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF11 = not(r),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
not(r) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = or(sF11,q),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
or(sF11,q) = sF12,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF13 = not(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f47,plain,
not(sF12) = sF13,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF14 = or(sF10,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f49,plain,
or(sF10,sF13) = sF14,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF15 = not(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f51,plain,
not(sF14) = sF15,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF16 = not(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f53,plain,
not(sF15) = sF16,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF17 = or(sF8,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f55,plain,
or(sF8,sF16) = sF17,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF18 = not(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f57,plain,
not(sF17) = sF18,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF19 = not(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f59,plain,
not(sF18) = sF19,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF20 = or(sF0,r),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f61,plain,
or(sF0,r) = sF20,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF21 = not(sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f63,plain,
not(sF20) = sF21,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF22 = or(sF11,p),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f65,plain,
or(sF11,p) = sF22,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF23 = not(sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f67,plain,
not(sF22) = sF23,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF24 = or(sF21,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f69,plain,
or(sF21,sF23) = sF24,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF25 = not(sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f71,plain,
not(sF24) = sF25,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF26 = or(sF19,sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f73,plain,
or(sF19,sF25) = sF26,
inference(reorient_equations,[],[f72]) ).
fof(f74,plain,
~ theorem(sF26),
inference(definition_folding,[],[f19,f73,f71,f69,f67,f65,f43,f63,f61,f21,f59,f57,f55,f53,f51,f49,f47,f45,f43,f41,f39,f27,f37,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f167,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f7,f16]) ).
fof(f168,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f169,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f168,f18]) ).
fof(f171,plain,
! [X0,X1] : theorem(or(not(or(sF3,X0)),or(not(or(X1,q)),or(X1,X0)))),
inference(superposition,[],[f168,f27]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f167,f18]) ).
fof(f247,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f224,f168]) ).
fof(f260,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f261,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f260,f18]) ).
fof(f263,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f169,f18]) ).
fof(f264,plain,
! [X2,X0,X1] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f169,f224]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f263,f167]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f263,f169]) ).
fof(f306,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f263,f260]) ).
fof(f312,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f263,f35]) ).
fof(f316,plain,
! [X0,X1] :
( ~ theorem(or(sF15,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF14)) ),
inference(superposition,[],[f263,f51]) ).
fof(f318,plain,
! [X0,X1] :
( ~ theorem(or(sF18,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF17)) ),
inference(superposition,[],[f263,f57]) ).
fof(f324,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) ),
inference(resolution,[],[f306,f169]) ).
fof(f357,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f357,f263]) ).
fof(f391,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f357,f18]) ).
fof(f392,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f357,f224]) ).
fof(f408,plain,
theorem(or(not(or(sF5,sF2)),sF6)),
inference(superposition,[],[f357,f33]) ).
fof(f411,plain,
theorem(or(not(or(sF16,sF8)),sF17)),
inference(superposition,[],[f357,f55]) ).
fof(f412,plain,
theorem(or(not(or(sF13,sF10)),sF14)),
inference(superposition,[],[f357,f49]) ).
fof(f471,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f505,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f471,f263]) ).
fof(f507,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f471,f390]) ).
fof(f509,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f471,f306]) ).
fof(f510,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1)))),
inference(resolution,[],[f471,f304]) ).
fof(f536,plain,
theorem(or(not(sF25),sF26)),
inference(superposition,[],[f471,f73]) ).
fof(f567,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ),
inference(resolution,[],[f505,f18]) ).
fof(f568,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f505,f390]) ).
fof(f577,plain,
! [X0] :
( ~ theorem(or(X0,sF16))
| theorem(or(X0,sF17)) ),
inference(superposition,[],[f505,f55]) ).
fof(f609,plain,
! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))),
inference(resolution,[],[f507,f304]) ).
fof(f676,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f247,f18]) ).
fof(f738,plain,
! [X0,X1] :
( theorem(or(not(or(not(X1),X0)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f676,f306]) ).
fof(f754,plain,
! [X0,X1] :
( theorem(or(not(or(sF23,X0)),or(X1,X0)))
| ~ theorem(or(X1,sF22)) ),
inference(superposition,[],[f676,f67]) ).
fof(f773,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f568,f224]) ).
fof(f785,plain,
! [X0] :
( ~ theorem(or(X0,sF19))
| theorem(or(X0,sF26)) ),
inference(superposition,[],[f568,f73]) ).
fof(f804,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f391,f509]) ).
fof(f828,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f567,f357]) ).
fof(f971,plain,
theorem(or(sF23,or(not(sF24),sF21))),
inference(superposition,[],[f392,f69]) ).
fof(f972,plain,
theorem(or(sF23,or(sF25,sF21))),
inference(forward_demodulation,[],[f971,f71]) ).
fof(f987,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f305,f167]) ).
fof(f1019,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X1,X0)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f324,f263]) ).
fof(f1020,plain,
! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f324,f18]) ).
fof(f1078,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X3)),X2))
| theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f609,f305]) ).
fof(f1133,plain,
theorem(or(sF7,sF8)),
inference(superposition,[],[f804,f37]) ).
fof(f1137,plain,
theorem(or(sF15,sF16)),
inference(superposition,[],[f804,f53]) ).
fof(f1139,plain,
theorem(or(sF18,sF19)),
inference(superposition,[],[f804,f59]) ).
fof(f1463,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(or(X2,X1)),X0))
| theorem(or(not(or(X0,X1)),X0)) ),
inference(resolution,[],[f1019,f510]) ).
fof(f1570,plain,
! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X2,X0)))),
inference(resolution,[],[f1078,f357]) ).
fof(f1718,plain,
theorem(or(sF23,or(sF21,sF25))),
inference(resolution,[],[f972,f390]) ).
fof(f1745,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(not(X1),X0)))
| theorem(or(X2,X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f738,f263]) ).
fof(f2483,plain,
theorem(or(not(or(sF3,r)),or(not(or(sF0,q)),sF20))),
inference(superposition,[],[f171,f61]) ).
fof(f2490,plain,
theorem(or(not(or(sF3,p)),or(not(or(sF11,q)),sF22))),
inference(superposition,[],[f171,f65]) ).
fof(f2493,plain,
theorem(or(not(or(sF3,p)),or(not(sF12),sF22))),
inference(forward_demodulation,[],[f2490,f45]) ).
fof(f2494,plain,
theorem(or(not(or(sF3,r)),or(not(sF1),sF20))),
inference(forward_demodulation,[],[f2483,f23]) ).
fof(f2499,plain,
theorem(or(not(or(sF3,p)),or(sF13,sF22))),
inference(forward_demodulation,[],[f2493,f47]) ).
fof(f2500,plain,
theorem(or(not(or(sF3,r)),or(sF2,sF20))),
inference(forward_demodulation,[],[f2494,f25]) ).
fof(f2501,plain,
theorem(or(not(sF4),or(sF13,sF22))),
inference(forward_demodulation,[],[f2499,f29]) ).
fof(f2502,plain,
theorem(or(not(sF9),or(sF2,sF20))),
inference(forward_demodulation,[],[f2500,f39]) ).
fof(f2503,plain,
theorem(or(sF5,or(sF13,sF22))),
inference(forward_demodulation,[],[f2501,f31]) ).
fof(f2504,plain,
theorem(or(sF10,or(sF2,sF20))),
inference(forward_demodulation,[],[f2502,f41]) ).
fof(f2517,plain,
theorem(or(sF2,or(sF10,sF20))),
inference(resolution,[],[f2504,f224]) ).
fof(f2748,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,X0)))
| theorem(or(X2,X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f264,f1745]) ).
fof(f2946,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f987,f18]) ).
fof(f4397,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X0,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f773,f261]) ).
fof(f4798,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(or(X2,X0)),X1))
| theorem(or(not(X0),X1)) ),
inference(resolution,[],[f1570,f1019]) ).
fof(f5583,plain,
theorem(or(sF15,sF17)),
inference(resolution,[],[f577,f1137]) ).
fof(f5585,plain,
! [X0] :
( ~ theorem(or(X0,sF14))
| theorem(or(X0,sF17)) ),
inference(resolution,[],[f5583,f316]) ).
fof(f5589,plain,
theorem(or(not(or(sF13,sF10)),sF17)),
inference(resolution,[],[f5585,f412]) ).
fof(f6417,plain,
theorem(or(sF18,sF26)),
inference(resolution,[],[f1139,f785]) ).
fof(f6419,plain,
! [X0] :
( ~ theorem(or(X0,sF17))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6417,f318]) ).
fof(f6423,plain,
theorem(or(not(or(sF16,sF8)),sF26)),
inference(resolution,[],[f6419,f411]) ).
fof(f6424,plain,
theorem(or(not(or(sF13,sF10)),sF26)),
inference(resolution,[],[f6419,f5589]) ).
fof(f6449,plain,
! [X0] :
( ~ theorem(or(X0,or(sF16,sF8)))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6423,f263]) ).
fof(f6468,plain,
! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6449,f505]) ).
fof(f6546,plain,
theorem(or(sF7,sF26)),
inference(resolution,[],[f6468,f1133]) ).
fof(f6547,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6546,f312]) ).
fof(f6551,plain,
theorem(or(not(or(sF5,sF2)),sF26)),
inference(resolution,[],[f6547,f408]) ).
fof(f6562,plain,
! [X0] :
( ~ theorem(or(X0,or(sF5,sF2)))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6551,f263]) ).
fof(f6571,plain,
! [X0] :
( ~ theorem(or(sF5,or(X0,sF2)))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6551,f2946]) ).
fof(f6578,plain,
! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6562,f773]) ).
fof(f6622,plain,
theorem(or(or(sF13,sF22),sF26)),
inference(resolution,[],[f6578,f2503]) ).
fof(f6658,plain,
theorem(or(sF26,or(sF13,sF22))),
inference(resolution,[],[f6622,f391]) ).
fof(f6680,plain,
theorem(or(sF13,or(sF26,sF22))),
inference(resolution,[],[f6658,f224]) ).
fof(f6735,plain,
! [X0] :
( ~ theorem(or(X0,or(sF13,sF10)))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6424,f263]) ).
fof(f6743,plain,
theorem(or(not(sF10),sF26)),
inference(resolution,[],[f6424,f4798]) ).
fof(f6751,plain,
! [X0] :
( ~ theorem(or(sF13,X0))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6735,f773]) ).
fof(f6799,plain,
theorem(or(or(sF26,sF22),sF26)),
inference(resolution,[],[f6751,f6680]) ).
fof(f6835,plain,
theorem(or(sF26,or(sF26,sF22))),
inference(resolution,[],[f6799,f391]) ).
fof(f6836,plain,
theorem(or(sF26,sF22)),
inference(resolution,[],[f6835,f4397]) ).
fof(f7009,plain,
! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f6571,f828]) ).
fof(f7430,plain,
theorem(or(or(sF10,sF20),sF26)),
inference(resolution,[],[f7009,f2517]) ).
fof(f7469,plain,
theorem(or(sF26,or(sF10,sF20))),
inference(resolution,[],[f7430,f391]) ).
fof(f7550,plain,
( theorem(or(sF10,sF26))
| ~ theorem(or(not(sF20),sF26)) ),
inference(resolution,[],[f7469,f2748]) ).
fof(f7555,plain,
( ~ theorem(or(sF21,sF26))
| theorem(or(sF10,sF26)) ),
inference(forward_demodulation,[],[f7550,f63]) ).
fof(f9562,plain,
( theorem(sF26)
| ~ theorem(or(sF26,sF10)) ),
inference(resolution,[],[f6743,f1020]) ).
fof(f9566,plain,
~ theorem(or(sF26,sF10)),
inference(forward_subsumption_resolution,[],[f9562,f74]) ).
fof(f16889,plain,
theorem(or(not(or(sF26,sF10)),sF26)),
inference(resolution,[],[f1463,f6424]) ).
fof(f16993,plain,
! [X0] :
( ~ theorem(or(X0,or(sF26,sF10)))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f16889,f263]) ).
fof(f17040,plain,
( theorem(or(not(or(sF23,sF10)),sF26))
| ~ theorem(or(sF26,sF22)) ),
inference(resolution,[],[f16993,f754]) ).
fof(f17072,plain,
theorem(or(not(or(sF23,sF10)),sF26)),
inference(forward_subsumption_resolution,[],[f17040,f6836]) ).
fof(f17392,plain,
! [X0] :
( ~ theorem(or(X0,or(sF23,sF10)))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f17072,f263]) ).
fof(f17413,plain,
! [X0] :
( ~ theorem(or(sF23,X0))
| theorem(or(X0,sF26)) ),
inference(resolution,[],[f17392,f773]) ).
fof(f17473,plain,
theorem(or(or(sF21,sF25),sF26)),
inference(resolution,[],[f17413,f1718]) ).
fof(f17529,plain,
theorem(or(sF26,or(sF21,sF25))),
inference(resolution,[],[f17473,f391]) ).
fof(f18544,plain,
( theorem(or(sF21,sF26))
| ~ theorem(or(not(sF25),sF26)) ),
inference(resolution,[],[f17529,f2748]) ).
fof(f18549,plain,
theorem(or(sF21,sF26)),
inference(forward_subsumption_resolution,[],[f18544,f536]) ).
fof(f18554,plain,
theorem(or(sF10,sF26)),
inference(resolution,[],[f18549,f7555]) ).
fof(f18593,plain,
theorem(or(sF26,sF10)),
inference(resolution,[],[f18554,f391]) ).
fof(f18594,plain,
$false,
inference(forward_subsumption_resolution,[],[f18593,f9566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL270-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:31:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 11.04/2.20 % (948606)Input is clausal, will run a generic CNF schedule.
% 11.04/2.20 % (948684)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2857815691:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.04/2.20 % (948682)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=2603490806:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.04/2.20 % (948687)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=679946275:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.04/2.20 % (948686)lrs+10_1_sil=8000:sp=occurrence:random_seed=448189525:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.04/2.20 % (948689)dis-21_1_sil=8000:lcm=predicate:random_seed=2629916964: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)
% 11.04/2.20 % (948685)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4046265306:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.04/2.20 % (948688)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3403530301:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.04/2.20 % (948689)Instruction limit reached!
% 11.04/2.20 % (948689)------------------------------
% 11.04/2.20 % (948689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.20 % (948689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.20 % (948689)CaDiCaL version: 2.1.3
% 11.04/2.20 % (948689)Termination reason: Instruction limit
% 11.04/2.20 % (948689)Termination phase: Saturation
% 11.04/2.20 % (948689)Time elapsed: 0.057 s
% 11.04/2.20 % (948689)Peak memory usage: 87 MB
% 11.04/2.20 % (948689)Instructions burned: 117 (million)
% 11.04/2.20 % (948688)Instruction limit reached!
% 11.04/2.20 % (948688)------------------------------
% 11.04/2.20 % (948688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.20 % (948688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.20 % (948688)CaDiCaL version: 2.1.3
% 11.04/2.20 % (948688)Termination reason: Instruction limit
% 11.04/2.20 % (948688)Termination phase: Saturation
% 11.04/2.20 % (948688)Time elapsed: 0.059 s
% 11.04/2.20 % (948688)Peak memory usage: 89 MB
% 11.04/2.20 % (948688)Instructions burned: 182 (million)
% 11.04/2.20 % (948686)Instruction limit reached!
% 11.04/2.20 % (948686)------------------------------
% 11.04/2.20 % (948686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.20 % (948686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.20 % (948686)CaDiCaL version: 2.1.3
% 11.04/2.20 % (948686)Termination reason: Instruction limit
% 11.04/2.20 % (948686)Termination phase: Saturation
% 11.04/2.20 % (948686)Time elapsed: 0.069 s
% 11.04/2.20 % (948686)Peak memory usage: 89 MB
% 11.04/2.20 % (948686)Instructions burned: 108 (million)
% 11.04/2.20 % (948687)Instruction limit reached!
% 11.04/2.20 % (948687)------------------------------
% 11.04/2.20 % (948687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.20 % (948687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.20 % (948687)CaDiCaL version: 2.1.3
% 11.04/2.20 % (948687)Termination reason: Instruction limit
% 11.04/2.20 % (948687)Termination phase: Saturation
% 11.04/2.20 % (948687)Time elapsed: 0.074 s
% 11.04/2.20 % (948687)Peak memory usage: 88 MB
% 11.04/2.20 % (948687)Instructions burned: 120 (million)
% 11.04/2.20 % (948704)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=914253759: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)
% 11.04/2.20 % (948704)Refutation not found, incomplete strategy
% 11.04/2.20 % (948704)------------------------------
% 11.04/2.20 % (948704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.20 % (948704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.20 % (948704)CaDiCaL version: 2.1.3
% 11.04/2.20 % (948704)Termination reason: Refutation not found, incomplete strategy
% 11.04/2.20 % (948704)Time elapsed: 0.001 s
% 11.04/2.20 % (948704)Peak memory usage: 87 MB
% 11.04/2.20 % (948703)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=3482730993:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 19.85/3.56 % (948703)Refutation not found, incomplete strategy
% 19.85/3.56 % (948703)------------------------------
% 19.85/3.56 % (948703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.85/3.56 % (948703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.56 % (948703)CaDiCaL version: 2.1.3
% 19.85/3.56 % (948703)Termination reason: Refutation not found, incomplete strategy
% 19.85/3.56 % (948703)Time elapsed: 0.002 s
% 19.85/3.56 % (948703)Peak memory usage: 88 MB
% 19.85/3.56 % (948706)lrs+10_64_to=lpo:sil=8000:random_seed=3310908697:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 19.85/3.56 % (948705)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1931916025:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 19.85/3.56 % (948705)Refutation not found, incomplete strategy
% 19.85/3.56 % (948705)------------------------------
% 19.85/3.56 % (948705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.85/3.56 % (948705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.56 % (948705)CaDiCaL version: 2.1.3
% 19.85/3.56 % (948705)Termination reason: Refutation not found, incomplete strategy
% 19.85/3.56 % (948705)Time elapsed: 0.002 s
% 19.85/3.56 % (948705)Peak memory usage: 88 MB
% 19.85/3.56 % (948706)Instruction limit reached!
% 19.85/3.56 % (948706)------------------------------
% 19.85/3.56 % (948706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.85/3.56 % (948706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.56 % (948706)CaDiCaL version: 2.1.3
% 19.85/3.56 % (948706)Termination reason: Instruction limit
% 19.85/3.56 % (948706)Termination phase: Saturation
% 19.85/3.56 % (948706)Time elapsed: 0.120 s
% 19.85/3.56 % (948706)Peak memory usage: 89 MB
% 19.85/3.56 % (948706)Instructions burned: 127 (million)
% 19.85/3.56 % (948704)------------------------------
% 19.85/3.56 % (948704)------------------------------
% 19.85/3.56 % (948747)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1085320442:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 19.85/3.56 % (948703)------------------------------
% 19.85/3.56 % (948703)------------------------------
% 19.85/3.56 % (948746)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3669973136:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 19.85/3.56 % (948705)------------------------------
% 19.85/3.56 % (948705)------------------------------
% 19.85/3.56 % (948747)Instruction limit reached!
% 19.85/3.56 % (948747)------------------------------
% 19.85/3.56 % (948747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.85/3.56 % (948747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.56 % (948747)CaDiCaL version: 2.1.3
% 19.85/3.56 % (948747)Termination reason: Instruction limit
% 19.85/3.56 % (948747)Termination phase: Saturation
% 19.85/3.56 % (948747)Time elapsed: 0.053 s
% 19.85/3.56 % (948747)Peak memory usage: 91 MB
% 19.85/3.56 % (948747)Instructions burned: 159 (million)
% 19.85/3.56 % (948750)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2543245353:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 19.85/3.56 % (948746)Instruction limit reached!
% 19.85/3.56 % (948746)------------------------------
% 19.85/3.56 % (948746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.85/3.56 % (948746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.56 % (948746)CaDiCaL version: 2.1.3
% 19.85/3.56 % (948746)Termination reason: Instruction limit
% 19.85/3.56 % (948746)Termination phase: Saturation
% 19.85/3.56 % (948746)Time elapsed: 0.125 s
% 19.85/3.56 % (948746)Peak memory usage: 89 MB
% 19.85/3.56 % (948746)Instructions burned: 195 (million)
% 19.85/3.56 % (948753)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3972187427:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 19.85/3.56 % (948753)Refutation not found, incomplete strategy
% 19.85/3.56 % (948753)------------------------------
% 19.85/3.56 % (948753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.85/3.56 % (948753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.56 % (948753)CaDiCaL version: 2.1.3
% 19.85/3.56 % (948753)Termination reason: Refutation not found, incomplete strategy
% 19.85/3.56 % (948753)Time elapsed: 0.0000 s
% 30.04/4.99 % (948753)Peak memory usage: 87 MB
% 30.04/4.99 % (948752)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=2657075001:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 30.04/4.99 % (948752)Instruction limit reached!
% 30.04/4.99 % (948752)------------------------------
% 30.04/4.99 % (948752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948752)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948752)Termination reason: Instruction limit
% 30.04/4.99 % (948752)Termination phase: Saturation
% 30.04/4.99 % (948752)Time elapsed: 0.056 s
% 30.04/4.99 % (948752)Peak memory usage: 89 MB
% 30.04/4.99 % (948752)Instructions burned: 108 (million)
% 30.04/4.99 % (948753)------------------------------
% 30.04/4.99 % (948753)------------------------------
% 30.04/4.99 % (948795)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3641767994:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 30.04/4.99 % (948831)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3645261187:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 30.04/4.99 % (948851)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=602346819:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 30.04/4.99 % (948795)Instruction limit reached!
% 30.04/4.99 % (948795)------------------------------
% 30.04/4.99 % (948795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948795)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948795)Termination reason: Instruction limit
% 30.04/4.99 % (948795)Termination phase: Saturation
% 30.04/4.99 % (948795)Time elapsed: 0.155 s
% 30.04/4.99 % (948795)Peak memory usage: 90 MB
% 30.04/4.99 % (948795)Instructions burned: 243 (million)
% 30.04/4.99 % (948851)Instruction limit reached!
% 30.04/4.99 % (948851)------------------------------
% 30.04/4.99 % (948851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948851)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948851)Termination reason: Instruction limit
% 30.04/4.99 % (948851)Termination phase: Saturation
% 30.04/4.99 % (948851)Time elapsed: 0.047 s
% 30.04/4.99 % (948851)Peak memory usage: 90 MB
% 30.04/4.99 % (948851)Instructions burned: 136 (million)
% 30.04/4.99 % (948868)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4292968281:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 30.04/4.99 % (948869)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3277464974:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 30.04/4.99 % (948869)Instruction limit reached!
% 30.04/4.99 % (948869)------------------------------
% 30.04/4.99 % (948869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948869)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948869)Termination reason: Instruction limit
% 30.04/4.99 % (948869)Termination phase: Saturation
% 30.04/4.99 % (948869)Time elapsed: 0.070 s
% 30.04/4.99 % (948869)Peak memory usage: 93 MB
% 30.04/4.99 % (948869)Instructions burned: 199 (million)
% 30.04/4.99 % (948919)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2523335734:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 30.04/4.99 % (948868)Instruction limit reached!
% 30.04/4.99 % (948868)------------------------------
% 30.04/4.99 % (948868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948868)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948868)Termination reason: Instruction limit
% 30.04/4.99 % (948868)Termination phase: Saturation
% 30.04/4.99 % (948868)Time elapsed: 0.260 s
% 30.04/4.99 % (948868)Peak memory usage: 92 MB
% 30.04/4.99 % (948868)Instructions burned: 499 (million)
% 30.04/4.99 % (948919)Instruction limit reached!
% 30.04/4.99 % (948919)------------------------------
% 30.04/4.99 % (948919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948919)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948919)Termination reason: Instruction limit
% 30.04/4.99 % (948919)Termination phase: Saturation
% 30.04/4.99 % (948919)Time elapsed: 0.079 s
% 30.04/4.99 % (948919)Peak memory usage: 92 MB
% 30.04/4.99 % (948919)Instructions burned: 266 (million)
% 30.04/4.99 % (948922)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=36254247:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 30.04/4.99 % (948921)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=556822504:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 30.04/4.99 % (948921)Instruction limit reached!
% 30.04/4.99 % (948921)------------------------------
% 30.04/4.99 % (948921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948921)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948921)Termination reason: Instruction limit
% 30.04/4.99 % (948921)Termination phase: Saturation
% 30.04/4.99 % (948921)Time elapsed: 0.091 s
% 30.04/4.99 % (948921)Peak memory usage: 88 MB
% 30.04/4.99 % (948921)Instructions burned: 157 (million)
% 30.04/4.99 % (948925)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=296626320:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 30.04/4.99 % (948925)Instruction limit reached!
% 30.04/4.99 % (948925)------------------------------
% 30.04/4.99 % (948925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948925)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948925)Termination reason: Instruction limit
% 30.04/4.99 % (948925)Termination phase: Saturation
% 30.04/4.99 % (948925)Time elapsed: 0.257 s
% 30.04/4.99 % (948925)Peak memory usage: 89 MB
% 30.04/4.99 % (948925)Instructions burned: 539 (million)
% 30.04/4.99 % (948927)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=709066479:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 30.04/4.99 % (948927)Instruction limit reached!
% 30.04/4.99 % (948927)------------------------------
% 30.04/4.99 % (948927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948927)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948927)Termination reason: Instruction limit
% 30.04/4.99 % (948927)Termination phase: Saturation
% 30.04/4.99 % (948927)Time elapsed: 0.097 s
% 30.04/4.99 % (948927)Peak memory usage: 88 MB
% 30.04/4.99 % (948927)Instructions burned: 181 (million)
% 30.04/4.99 % (948929)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=281830859:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2975 on theBenchmark for (2975ds/10307Mi)
% 30.04/4.99 % (948922)Instruction limit reached!
% 30.04/4.99 % (948922)------------------------------
% 30.04/4.99 % (948922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948922)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948922)Termination reason: Instruction limit
% 30.04/4.99 % (948922)Termination phase: Saturation
% 30.04/4.99 % (948922)Time elapsed: 0.986 s
% 30.04/4.99 % (948922)Peak memory usage: 153 MB
% 30.04/4.99 % (948922)Instructions burned: 3261 (million)
% 30.04/4.99 % (948931)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=2605325176:i=412:gtgl=4:gtg=exists_all_2973 on theBenchmark for (2973ds/412Mi)
% 30.04/4.99 % (948931)Instruction limit reached!
% 30.04/4.99 % (948931)------------------------------
% 30.04/4.99 % (948931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948931)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948931)Termination reason: Instruction limit
% 30.04/4.99 % (948931)Termination phase: Saturation
% 30.04/4.99 % (948931)Time elapsed: 0.129 s
% 30.04/4.99 % (948931)Peak memory usage: 93 MB
% 30.04/4.99 % (948931)Instructions burned: 413 (million)
% 30.04/4.99 % (948750)Instruction limit reached!
% 30.04/4.99 % (948750)------------------------------
% 30.04/4.99 % (948750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948750)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948750)Termination reason: Instruction limit
% 30.04/4.99 % (948750)Termination phase: Saturation
% 30.04/4.99 % (948750)Time elapsed: 2.104 s
% 30.04/4.99 % (948750)Peak memory usage: 150 MB
% 30.04/4.99 % (948750)Instructions burned: 3395 (million)
% 30.04/4.99 % (948933)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=2265469334:s2pl=no:i=8478:s2at=4:nm=6_2970 on theBenchmark for (2970ds/8478Mi)
% 30.04/4.99 % (948934)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=1736088287:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2970 on theBenchmark for (2970ds/303Mi)
% 30.04/4.99 % (948934)Refutation not found, incomplete strategy
% 30.04/4.99 % (948934)------------------------------
% 30.04/4.99 % (948934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948934)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948934)Termination reason: Refutation not found, incomplete strategy
% 30.04/4.99 % (948934)Time elapsed: 0.001 s
% 30.04/4.99 % (948934)Peak memory usage: 88 MB
% 30.04/4.99 % (948934)------------------------------
% 30.04/4.99 % (948934)------------------------------
% 30.04/4.99 % (948937)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2729209682:st=4:i=720:sd=3:fsr=off:ss=axioms_2966 on theBenchmark for (2966ds/720Mi)
% 30.04/4.99 % (948937)Refutation not found, incomplete strategy
% 30.04/4.99 % (948937)------------------------------
% 30.04/4.99 % (948937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948937)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948937)Termination reason: Refutation not found, incomplete strategy
% 30.04/4.99 % (948937)Time elapsed: 0.001 s
% 30.04/4.99 % (948937)Peak memory usage: 88 MB
% 30.04/4.99 % (948937)Instructions burned: 1 (million)
% 30.04/4.99 % (948937)------------------------------
% 30.04/4.99 % (948937)------------------------------
% 30.04/4.99 % (948939)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2006105456:i=598:bs=on:bd=preordered:av=off:ss=axioms_2963 on theBenchmark for (2963ds/598Mi)
% 30.04/4.99 % (948939)Instruction limit reached!
% 30.04/4.99 % (948939)------------------------------
% 30.04/4.99 % (948939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/4.99 % (948939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/4.99 % (948939)CaDiCaL version: 2.1.3
% 30.04/4.99 % (948939)Termination reason: Instruction limit
% 30.04/4.99 % (948939)Termination phase: Saturation
% 30.04/4.99 % (948939)Time elapsed: 0.168 s
% 30.04/4.99 % (948939)Peak memory usage: 95 MB
% 30.04/4.99 % (948939)Instructions burned: 599 (million)
% 30.04/4.99 % (948831)First to succeed.
% 30.04/4.99 % (948831)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-948606"
% 30.04/4.99 % (948941)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=84849040:i=2989:sd=3:ss=axioms:sgt=60_2960 on theBenchmark for (2960ds/2989Mi)
% 30.04/4.99 % (948831)Refutation found. Thanks to Tanya!
% 30.04/4.99 % SZS status Unsatisfiable for theBenchmark
% 30.04/4.99 % SZS output start Proof for theBenchmark
% See solution above
% 31.05/5.09 % (948831)------------------------------
% 31.05/5.09 % (948831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.05/5.09 % (948831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/5.09 % (948831)CaDiCaL version: 2.1.3
% 31.05/5.09 % (948831)Termination reason: Refutation
% 31.05/5.09 % (948831)Time elapsed: 2.982 s
% 31.05/5.09 % (948831)Peak memory usage: 163 MB
% 31.05/5.09 % (948831)Instructions burned: 4879 (million)
% 31.05/5.09 % (948831)------------------------------
% 31.05/5.09 % (948831)------------------------------
% 31.05/5.09 % (948606)Success in time 4.352 s
% 31.05/5.09 % Vampire exiting
%------------------------------------------------------------------------------