%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL324-3 : TPTP v9.3.1. Released v2.3.0.
% 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 11:51:59 AM UTC 2026
% Result : Unsatisfiable 11.49s 2.24s
% Output : Refutation 12.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 36
% Syntax : Number of formulae : 203 ( 128 unt; 25 def)
% Number of atoms : 296 ( 44 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 188 ( 95 ~; 88 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 141 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(not(and(equivalent(p,q),equivalent(p,not(q))))),
file('/export/starexec/sandbox2/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(not(not(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(not(or(not(or(not(p),not(q))),not(or(not(not(q)),p))))))))),
inference(definition_unfolding,[],[f11,f9,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(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
or(sF0,sF3) = 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(sF3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f43,plain,
not(sF3) = sF11,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF12 = or(sF11,p),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f45,plain,
or(sF11,p) = 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,plain,
~ theorem(sF19),
inference(definition_folding,[],[f19,f59,f57,f55,f53,f51,f49,f47,f45,f43,f27,f41,f39,f27,f21,f37,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f61,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f7,f17]) ).
fof(f62,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f7,f16]) ).
fof(f85,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f88,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f18,f61]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f18,f62]) ).
fof(f90,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f18,f85]) ).
fof(f247,plain,
theorem(or(not(sF9),or(sF3,sF0))),
inference(superposition,[],[f85,f39]) ).
fof(f250,plain,
theorem(or(sF10,or(sF3,sF0))),
inference(forward_demodulation,[],[f247,f41]) ).
fof(f267,plain,
theorem(or(not(sF1),or(q,sF0))),
inference(superposition,[],[f85,f23]) ).
fof(f270,plain,
theorem(or(sF2,or(q,sF0))),
inference(forward_demodulation,[],[f267,f25]) ).
fof(f287,plain,
theorem(or(not(sF12),or(p,sF11))),
inference(superposition,[],[f85,f45]) ).
fof(f290,plain,
theorem(or(sF13,or(p,sF11))),
inference(forward_demodulation,[],[f287,f47]) ).
fof(f307,plain,
theorem(or(not(sF6),or(sF5,sF2))),
inference(superposition,[],[f85,f33]) ).
fof(f310,plain,
theorem(or(sF7,or(sF5,sF2))),
inference(forward_demodulation,[],[f307,f35]) ).
fof(f325,plain,
theorem(or(not(sF17),or(sF16,sF8))),
inference(superposition,[],[f85,f55]) ).
fof(f328,plain,
theorem(or(sF18,or(sF16,sF8))),
inference(forward_demodulation,[],[f325,f57]) ).
fof(f350,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f14,f7]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f88,f18]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f375,f62]) ).
fof(f405,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f375,f85]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f375,f88]) ).
fof(f412,plain,
! [X0,X1] :
( ~ theorem(or(sF7,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF6)) ),
inference(superposition,[],[f375,f35]) ).
fof(f416,plain,
! [X0,X1] :
( ~ theorem(or(sF15,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF14)) ),
inference(superposition,[],[f375,f51]) ).
fof(f418,plain,
! [X0,X1] :
( ~ theorem(or(sF18,X0))
| theorem(or(X1,X0))
| ~ theorem(or(X1,sF17)) ),
inference(superposition,[],[f375,f57]) ).
fof(f431,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f434,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f350,f405]) ).
fof(f452,plain,
theorem(or(not(sF5),sF6)),
inference(superposition,[],[f350,f33]) ).
fof(f454,plain,
theorem(or(not(sF16),sF17)),
inference(superposition,[],[f350,f55]) ).
fof(f455,plain,
theorem(or(not(sF13),sF14)),
inference(superposition,[],[f350,f49]) ).
fof(f461,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f431,f375]) ).
fof(f469,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f461,f350]) ).
fof(f543,plain,
! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
inference(resolution,[],[f404,f85]) ).
fof(f555,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f406,f85]) ).
fof(f558,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f406,f61]) ).
fof(f559,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,[],[f406,f62]) ).
fof(f590,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f555,f18]) ).
fof(f594,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f555,f461]) ).
fof(f620,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f559,f18]) ).
fof(f648,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f469,f90]) ).
fof(f677,plain,
theorem(or(sF18,sF19)),
inference(superposition,[],[f648,f59]) ).
fof(f684,plain,
! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f594,f18]) ).
fof(f799,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f590,f648]) ).
fof(f818,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f558,f18]) ).
fof(f860,plain,
! [X0] :
( theorem(or(X0,not(sF7)))
| ~ theorem(or(X0,sF6)) ),
inference(resolution,[],[f412,f648]) ).
fof(f861,plain,
! [X0] :
( ~ theorem(or(X0,sF6))
| theorem(or(X0,sF8)) ),
inference(forward_demodulation,[],[f860,f37]) ).
fof(f867,plain,
! [X0] :
( theorem(or(X0,not(sF15)))
| ~ theorem(or(X0,sF14)) ),
inference(resolution,[],[f416,f648]) ).
fof(f868,plain,
! [X0] :
( ~ theorem(or(X0,sF14))
| theorem(or(X0,sF16)) ),
inference(forward_demodulation,[],[f867,f53]) ).
fof(f875,plain,
! [X0] :
( ~ theorem(or(X0,sF17))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f418,f677]) ).
fof(f959,plain,
theorem(or(sF5,or(sF7,sF2))),
inference(resolution,[],[f310,f89]) ).
fof(f975,plain,
! [X0] : theorem(or(sF0,or(p,X0))),
inference(superposition,[],[f434,f21]) ).
fof(f990,plain,
theorem(or(not(sF2),sF6)),
inference(superposition,[],[f434,f33]) ).
fof(f992,plain,
theorem(or(not(sF8),sF17)),
inference(superposition,[],[f434,f55]) ).
fof(f993,plain,
theorem(or(not(sF10),sF14)),
inference(superposition,[],[f434,f49]) ).
fof(f999,plain,
theorem(or(sF16,or(sF18,sF8))),
inference(resolution,[],[f328,f89]) ).
fof(f1085,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f620,f594]) ).
fof(f1136,plain,
! [X2,X0,X1] :
( ~ theorem(or(or(X0,X2),X1))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f543,f18]) ).
fof(f1297,plain,
theorem(or(not(sF13),sF16)),
inference(resolution,[],[f455,f868]) ).
fof(f1307,plain,
theorem(or(not(sF16),sF19)),
inference(resolution,[],[f454,f875]) ).
fof(f1310,plain,
! [X0] :
( ~ theorem(or(sF16,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f1307,f590]) ).
fof(f1311,plain,
! [X0] :
( ~ theorem(or(X0,sF16))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f1307,f375]) ).
fof(f1314,plain,
theorem(or(not(sF13),sF19)),
inference(resolution,[],[f1311,f1297]) ).
fof(f1319,plain,
! [X0] :
( ~ theorem(or(sF13,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f1314,f590]) ).
fof(f1327,plain,
theorem(or(or(p,sF11),sF19)),
inference(resolution,[],[f1319,f290]) ).
fof(f1335,plain,
theorem(or(or(sF18,sF8),sF19)),
inference(resolution,[],[f1310,f999]) ).
fof(f1345,plain,
theorem(or(not(sF5),sF8)),
inference(resolution,[],[f452,f861]) ).
fof(f1397,plain,
theorem(or(not(sF8),sF19)),
inference(resolution,[],[f992,f875]) ).
fof(f1401,plain,
! [X0] :
( ~ theorem(or(X0,sF8))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f1397,f375]) ).
fof(f1404,plain,
theorem(or(not(sF5),sF19)),
inference(resolution,[],[f1401,f1345]) ).
fof(f1408,plain,
! [X0] :
( ~ theorem(or(sF5,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f1404,f590]) ).
fof(f1418,plain,
theorem(or(or(sF7,sF2),sF19)),
inference(resolution,[],[f1408,f959]) ).
fof(f1433,plain,
theorem(or(not(sF2),sF8)),
inference(resolution,[],[f990,f861]) ).
fof(f1439,plain,
theorem(or(not(sF2),sF19)),
inference(resolution,[],[f1433,f1401]) ).
fof(f1441,plain,
! [X0] :
( ~ theorem(or(sF2,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f1439,f590]) ).
fof(f1448,plain,
theorem(or(or(q,sF0),sF19)),
inference(resolution,[],[f1441,f270]) ).
fof(f1514,plain,
theorem(or(not(sF10),sF16)),
inference(resolution,[],[f993,f868]) ).
fof(f1520,plain,
theorem(or(not(sF10),sF19)),
inference(resolution,[],[f1514,f1311]) ).
fof(f1522,plain,
! [X0] :
( ~ theorem(or(sF10,X0))
| theorem(or(X0,sF19)) ),
inference(resolution,[],[f1520,f590]) ).
fof(f1529,plain,
theorem(or(or(sF3,sF0),sF19)),
inference(resolution,[],[f1522,f250]) ).
fof(f1746,plain,
theorem(or(p,or(sF19,sF11))),
inference(resolution,[],[f1136,f1327]) ).
fof(f1748,plain,
theorem(or(q,or(sF19,sF0))),
inference(resolution,[],[f1136,f1448]) ).
fof(f1749,plain,
theorem(or(sF3,or(sF19,sF0))),
inference(resolution,[],[f1136,f1529]) ).
fof(f1750,plain,
theorem(or(sF7,or(sF19,sF2))),
inference(resolution,[],[f1136,f1418]) ).
fof(f1752,plain,
theorem(or(sF18,or(sF19,sF8))),
inference(resolution,[],[f1136,f1335]) ).
fof(f1769,plain,
theorem(or(sF3,or(sF0,sF19))),
inference(resolution,[],[f1749,f405]) ).
fof(f1775,plain,
theorem(or(sF0,or(sF3,sF19))),
inference(resolution,[],[f1769,f89]) ).
fof(f1797,plain,
theorem(or(q,or(sF0,sF19))),
inference(resolution,[],[f1748,f405]) ).
fof(f1945,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f799,f90]) ).
fof(f2009,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(not(not(X0)),X1)) ),
inference(resolution,[],[f1945,f461]) ).
fof(f2060,plain,
theorem(or(p,or(sF11,sF19))),
inference(resolution,[],[f1746,f405]) ).
fof(f2065,plain,
theorem(or(sF11,or(p,sF19))),
inference(resolution,[],[f2060,f89]) ).
fof(f2173,plain,
theorem(or(sF7,or(sF2,sF19))),
inference(resolution,[],[f1750,f405]) ).
fof(f2338,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(or(not(X1),X2))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f818,f594]) ).
fof(f2450,plain,
( theorem(or(sF0,sF19))
| ~ theorem(or(not(q),sF19)) ),
inference(resolution,[],[f1085,f1797]) ).
fof(f2451,plain,
( theorem(or(sF3,sF19))
| ~ theorem(or(not(sF0),sF19)) ),
inference(resolution,[],[f1085,f1775]) ).
fof(f2469,plain,
( theorem(or(sF2,sF19))
| ~ theorem(or(not(sF7),sF19)) ),
inference(resolution,[],[f1085,f2173]) ).
fof(f2545,plain,
( ~ theorem(or(sF8,sF19))
| theorem(or(sF2,sF19)) ),
inference(forward_demodulation,[],[f2469,f37]) ).
fof(f2580,definition,
( spl20_72
<=> theorem(or(not(sF0),sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_72])],[avatar_definition]) ).
fof(f2582,plain,
( ~ theorem(or(not(sF0),sF19))
| spl20_72 ),
inference(avatar_component_clause,[],[f2580]) ).
fof(f2589,definition,
( spl20_74
<=> theorem(or(sF3,sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_74])],[avatar_definition]) ).
fof(f2592,plain,
( ~ spl20_72
| spl20_74 ),
inference(avatar_split_clause,[],[f2451,f2589,f2580]) ).
fof(f2593,plain,
( ~ theorem(or(sF3,sF19))
| theorem(or(sF0,sF19)) ),
inference(forward_demodulation,[],[f2450,f27]) ).
fof(f2621,definition,
( spl20_79
<=> theorem(or(sF2,sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_79])],[avatar_definition]) ).
fof(f2625,definition,
( spl20_80
<=> theorem(or(sF8,sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_80])],[avatar_definition]) ).
fof(f2627,plain,
( ~ theorem(or(sF8,sF19))
| spl20_80 ),
inference(avatar_component_clause,[],[f2625]) ).
fof(f2628,plain,
( spl20_79
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f2545,f2625,f2621]) ).
fof(f2649,definition,
( spl20_85
<=> theorem(or(sF0,sF19)) ),
introduced(definition,[new_symbols(definition,[spl20_85])],[avatar_definition]) ).
fof(f2651,plain,
( theorem(or(sF0,sF19))
| ~ spl20_85 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f2658,plain,
( spl20_85
| ~ spl20_74 ),
inference(avatar_split_clause,[],[f2593,f2589,f2649]) ).
fof(f2938,plain,
theorem(or(sF18,or(sF8,sF19))),
inference(resolution,[],[f1752,f405]) ).
fof(f2944,plain,
( theorem(or(sF8,sF19))
| ~ theorem(or(not(sF18),sF19)) ),
inference(resolution,[],[f2938,f1085]) ).
fof(f2949,plain,
( ~ theorem(or(not(sF18),sF19))
| spl20_80 ),
inference(forward_subsumption_resolution,[],[f2944,f2627]) ).
fof(f2950,plain,
( ~ theorem(or(sF19,sF19))
| spl20_80 ),
inference(forward_demodulation,[],[f2949,f59]) ).
fof(f5776,plain,
( theorem(sF19)
| ~ theorem(or(sF2,sF19)) ),
inference(resolution,[],[f684,f1439]) ).
fof(f5824,plain,
~ theorem(or(sF2,sF19)),
inference(forward_subsumption_resolution,[],[f5776,f60]) ).
fof(f5832,plain,
~ spl20_79,
inference(avatar_split_clause,[],[f5824,f2621]) ).
fof(f7195,plain,
! [X0] :
( theorem(or(not(sF4),X0))
| ~ theorem(or(not(p),X0))
| ~ theorem(or(not(sF3),X0)) ),
inference(superposition,[],[f2338,f29]) ).
fof(f7202,plain,
! [X0] :
( theorem(or(sF5,X0))
| ~ theorem(or(not(p),X0))
| ~ theorem(or(not(sF3),X0)) ),
inference(forward_demodulation,[],[f7195,f31]) ).
fof(f7207,plain,
! [X0] :
( ~ theorem(or(sF0,X0))
| theorem(or(sF5,X0))
| ~ theorem(or(not(sF3),X0)) ),
inference(forward_demodulation,[],[f7202,f21]) ).
fof(f7210,plain,
! [X0] :
( ~ theorem(or(sF11,X0))
| ~ theorem(or(sF0,X0))
| theorem(or(sF5,X0)) ),
inference(forward_demodulation,[],[f7207,f43]) ).
fof(f7211,plain,
( ~ theorem(or(sF0,or(p,sF19)))
| theorem(or(sF5,or(p,sF19))) ),
inference(resolution,[],[f7210,f2065]) ).
fof(f7288,plain,
theorem(or(sF5,or(p,sF19))),
inference(forward_subsumption_resolution,[],[f7211,f975]) ).
fof(f7293,plain,
theorem(or(or(p,sF19),sF19)),
inference(resolution,[],[f7288,f1408]) ).
fof(f7305,plain,
theorem(or(p,or(sF19,sF19))),
inference(resolution,[],[f7293,f1136]) ).
fof(f7309,plain,
theorem(or(not(not(p)),sF19)),
inference(resolution,[],[f7305,f2009]) ).
fof(f7312,plain,
( theorem(or(sF19,sF19))
| ~ theorem(or(not(p),sF19)) ),
inference(resolution,[],[f7305,f1085]) ).
fof(f7317,plain,
( ~ theorem(or(not(p),sF19))
| spl20_80 ),
inference(forward_subsumption_resolution,[],[f7312,f2950]) ).
fof(f7318,plain,
theorem(or(not(sF0),sF19)),
inference(forward_demodulation,[],[f7309,f21]) ).
fof(f7319,plain,
( ~ theorem(or(sF0,sF19))
| spl20_80 ),
inference(forward_demodulation,[],[f7317,f21]) ).
fof(f7320,plain,
( $false
| spl20_72 ),
inference(forward_subsumption_resolution,[],[f7318,f2582]) ).
fof(f7321,plain,
spl20_72,
inference(avatar_contradiction_clause,[],[f7320]) ).
fof(f7322,plain,
( $false
| spl20_80
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f7319,f2651]) ).
fof(f7323,plain,
( spl20_80
| ~ spl20_85 ),
inference(avatar_contradiction_clause,[],[f7322]) ).
cnf(s38,plain,
( ~ spl20_72
| spl20_74 ),
inference(sat_conversion,[],[f2592]) ).
cnf(s41,plain,
( spl20_79
| ~ spl20_80 ),
inference(sat_conversion,[],[f2628]) ).
cnf(s47,plain,
( ~ spl20_74
| spl20_85 ),
inference(sat_conversion,[],[f2658]) ).
cnf(s263,plain,
~ spl20_79,
inference(sat_conversion,[],[f5832]) ).
cnf(s327,plain,
spl20_72,
inference(sat_conversion,[],[f7321]) ).
cnf(s328,plain,
( spl20_80
| ~ spl20_85 ),
inference(sat_conversion,[],[f7323]) ).
cnf(s334,plain,
~ spl20_80,
inference(rat,[],[s41,s263]) ).
cnf(s335,plain,
~ spl20_85,
inference(rat,[],[s328,s334]) ).
cnf(s340,plain,
~ spl20_74,
inference(rat,[],[s47,s335]) ).
cnf(s349,plain,
$false,
inference(rat,[],[s38,s340,s327]) ).
fof(f7336,plain,
$false,
inference(avatar_sat_refutation,[],[s349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL324-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 15:34:04 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 8.02/2.04 % (2524710)Input is clausal, will run a generic CNF schedule.
% 8.02/2.04 % (2524724)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1016344077:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 8.02/2.04 % (2524725)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=267553840:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 8.02/2.04 % (2524723)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=1705165402:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 8.02/2.04 % (2524729)dis-21_1_sil=8000:lcm=predicate:random_seed=1796406289:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 8.02/2.04 % (2524727)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1332930867:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 8.02/2.04 % (2524728)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1064839907:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 8.02/2.04 % (2524726)lrs+10_1_sil=8000:sp=occurrence:random_seed=925560456:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 8.02/2.04 % (2524729)Instruction limit reached!
% 8.02/2.04 % (2524729)------------------------------
% 8.02/2.04 % (2524729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/2.04 % (2524729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/2.04 % (2524729)CaDiCaL version: 2.1.3
% 8.02/2.04 % (2524729)Termination reason: Instruction limit
% 8.02/2.04 % (2524729)Termination phase: Saturation
% 8.02/2.04 % (2524729)Time elapsed: 0.036 s
% 8.02/2.04 % (2524729)Peak memory usage: 88 MB
% 8.02/2.04 % (2524729)Instructions burned: 117 (million)
% 8.02/2.04 % (2524726)Instruction limit reached!
% 8.02/2.04 % (2524726)------------------------------
% 8.02/2.04 % (2524726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/2.04 % (2524726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/2.04 % (2524726)CaDiCaL version: 2.1.3
% 8.02/2.04 % (2524726)Termination reason: Instruction limit
% 8.02/2.04 % (2524726)Termination phase: Saturation
% 8.02/2.04 % (2524726)Time elapsed: 0.059 s
% 8.02/2.04 % (2524726)Peak memory usage: 89 MB
% 8.02/2.04 % (2524726)Instructions burned: 107 (million)
% 8.02/2.04 % (2524727)Instruction limit reached!
% 8.02/2.04 % (2524727)------------------------------
% 8.02/2.04 % (2524727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/2.04 % (2524727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/2.04 % (2524727)CaDiCaL version: 2.1.3
% 8.02/2.04 % (2524727)Termination reason: Instruction limit
% 8.02/2.04 % (2524727)Termination phase: Saturation
% 8.02/2.04 % (2524727)Time elapsed: 0.062 s
% 8.02/2.04 % (2524727)Peak memory usage: 88 MB
% 8.02/2.04 % (2524727)Instructions burned: 115 (million)
% 8.02/2.04 % (2524728)Instruction limit reached!
% 8.02/2.04 % (2524728)------------------------------
% 8.02/2.04 % (2524728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/2.04 % (2524728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/2.04 % (2524728)CaDiCaL version: 2.1.3
% 8.02/2.04 % (2524728)Termination reason: Instruction limit
% 8.02/2.04 % (2524728)Termination phase: Saturation
% 8.02/2.04 % (2524728)Time elapsed: 0.082 s
% 8.02/2.04 % (2524728)Peak memory usage: 90 MB
% 8.02/2.04 % (2524728)Instructions burned: 181 (million)
% 8.02/2.04 % (2524748)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=2133620204:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.02/2.04 % (2524748)Refutation not found, incomplete strategy
% 8.02/2.04 % (2524748)------------------------------
% 8.02/2.04 % (2524748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/2.04 % (2524748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/2.04 % (2524748)CaDiCaL version: 2.1.3
% 8.02/2.04 % (2524748)Termination reason: Refutation not found, incomplete strategy
% 8.02/2.04 % (2524748)Time elapsed: 0.001 s
% 8.02/2.04 % (2524748)Peak memory usage: 87 MB
% 8.02/2.04 % (2524752)lrs+10_64_to=lpo:sil=8000:random_seed=4236208832:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.49/2.24 % (2524750)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1025067093:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 11.49/2.24 % (2524749)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=207046871:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 11.49/2.24 % (2524749)Refutation not found, incomplete strategy
% 11.49/2.24 % (2524749)------------------------------
% 11.49/2.24 % (2524749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524749)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524749)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.24 % (2524749)Time elapsed: 0.001 s
% 11.49/2.24 % (2524749)Peak memory usage: 87 MB
% 11.49/2.24 % (2524750)Refutation not found, incomplete strategy
% 11.49/2.24 % (2524750)------------------------------
% 11.49/2.24 % (2524750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524750)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524750)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.24 % (2524750)Time elapsed: 0.001 s
% 11.49/2.24 % (2524750)Peak memory usage: 88 MB
% 11.49/2.24 % (2524750)Instructions burned: 1 (million)
% 11.49/2.24 % (2524752)Instruction limit reached!
% 11.49/2.24 % (2524752)------------------------------
% 11.49/2.24 % (2524752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524752)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524752)Termination reason: Instruction limit
% 11.49/2.24 % (2524752)Termination phase: Saturation
% 11.49/2.24 % (2524752)Time elapsed: 0.048 s
% 11.49/2.24 % (2524752)Peak memory usage: 89 MB
% 11.49/2.24 % (2524752)Instructions burned: 126 (million)
% 11.49/2.24 % (2524760)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2816485669:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 11.49/2.24 % (2524748)------------------------------
% 11.49/2.24 % (2524748)------------------------------
% 11.49/2.24 % (2524750)------------------------------
% 11.49/2.24 % (2524750)------------------------------
% 11.49/2.24 % (2524749)------------------------------
% 11.49/2.24 % (2524749)------------------------------
% 11.49/2.24 % (2524760)Instruction limit reached!
% 11.49/2.24 % (2524760)------------------------------
% 11.49/2.24 % (2524760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524760)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524760)Termination reason: Instruction limit
% 11.49/2.24 % (2524760)Termination phase: Saturation
% 11.49/2.24 % (2524760)Time elapsed: 0.097 s
% 11.49/2.24 % (2524760)Peak memory usage: 90 MB
% 11.49/2.24 % (2524760)Instructions burned: 194 (million)
% 11.49/2.24 % (2524766)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2314979947:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.49/2.24 % (2524770)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1782866229:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 11.49/2.24 % (2524768)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3709764435:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.49/2.24 % (2524770)Refutation not found, incomplete strategy
% 11.49/2.24 % (2524770)------------------------------
% 11.49/2.24 % (2524770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524770)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524770)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.24 % (2524770)Time elapsed: 0.001 s
% 11.49/2.24 % (2524770)Peak memory usage: 87 MB
% 11.49/2.24 % (2524769)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=1776243585:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.49/2.24 % (2524766)Instruction limit reached!
% 11.49/2.24 % (2524766)------------------------------
% 11.49/2.24 % (2524766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524766)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524766)Termination reason: Instruction limit
% 11.49/2.24 % (2524766)Termination phase: Saturation
% 11.49/2.24 % (2524766)Time elapsed: 0.091 s
% 11.49/2.24 % (2524766)Peak memory usage: 91 MB
% 11.49/2.24 % (2524766)Instructions burned: 158 (million)
% 11.49/2.24 % (2524769)Instruction limit reached!
% 11.49/2.24 % (2524769)------------------------------
% 11.49/2.24 % (2524769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524769)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524769)Termination reason: Instruction limit
% 11.49/2.24 % (2524769)Termination phase: Saturation
% 11.49/2.24 % (2524769)Time elapsed: 0.052 s
% 11.49/2.24 % (2524769)Peak memory usage: 88 MB
% 11.49/2.24 % (2524769)Instructions burned: 106 (million)
% 11.49/2.24 % (2524770)------------------------------
% 11.49/2.24 % (2524770)------------------------------
% 11.49/2.24 % (2524780)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2779019453:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.49/2.24 % (2524782)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1264988283:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.49/2.24 % (2524786)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=726994434:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.49/2.24 % (2524780)Instruction limit reached!
% 11.49/2.24 % (2524780)------------------------------
% 11.49/2.24 % (2524780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524780)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524780)Termination reason: Instruction limit
% 11.49/2.24 % (2524780)Termination phase: Saturation
% 11.49/2.24 % (2524780)Time elapsed: 0.133 s
% 11.49/2.24 % (2524780)Peak memory usage: 91 MB
% 11.49/2.24 % (2524780)Instructions burned: 242 (million)
% 11.49/2.24 % (2524786)Instruction limit reached!
% 11.49/2.24 % (2524786)------------------------------
% 11.49/2.24 % (2524786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524786)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524786)Termination reason: Instruction limit
% 11.49/2.24 % (2524786)Termination phase: Saturation
% 11.49/2.24 % (2524786)Time elapsed: 0.050 s
% 11.49/2.24 % (2524786)Peak memory usage: 90 MB
% 11.49/2.24 % (2524786)Instructions burned: 135 (million)
% 11.49/2.24 % (2524791)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3362997456:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.49/2.24 % (2524792)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2625673500:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 11.49/2.24 % (2524792)Instruction limit reached!
% 11.49/2.24 % (2524792)------------------------------
% 11.49/2.24 % (2524792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524792)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524792)Termination reason: Instruction limit
% 11.49/2.24 % (2524792)Termination phase: Saturation
% 11.49/2.24 % (2524792)Time elapsed: 0.097 s
% 11.49/2.24 % (2524792)Peak memory usage: 92 MB
% 11.49/2.24 % (2524792)Instructions burned: 192 (million)
% 11.49/2.24 % (2524723)First to succeed.
% 11.49/2.24 % (2524723)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2524710"
% 11.49/2.24 % (2524791)Instruction limit reached!
% 11.49/2.24 % (2524791)------------------------------
% 11.49/2.24 % (2524791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524791)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524791)Termination reason: Instruction limit
% 11.49/2.24 % (2524791)Termination phase: Saturation
% 11.49/2.24 % (2524791)Time elapsed: 0.270 s
% 11.49/2.24 % (2524791)Peak memory usage: 94 MB
% 11.49/2.24 % (2524791)Instructions burned: 500 (million)
% 11.49/2.24 % (2524798)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1093799792:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 11.49/2.24 % (2524798)Instruction limit reached!
% 11.49/2.24 % (2524798)------------------------------
% 11.49/2.24 % (2524798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.24 % (2524798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.24 % (2524798)CaDiCaL version: 2.1.3
% 11.49/2.24 % (2524798)Termination reason: Instruction limit
% 11.49/2.24 % (2524798)Termination phase: Saturation
% 11.49/2.24 % (2524798)Time elapsed: 0.137 s
% 11.49/2.24 % (2524798)Peak memory usage: 92 MB
% 11.49/2.24 % (2524798)Instructions burned: 265 (million)
% 11.49/2.24 % (2524801)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1043298980:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 11.49/2.24 % (2524723)Refutation found. Thanks to Tanya!
% 11.49/2.24 % SZS status Unsatisfiable for theBenchmark
% 11.49/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 12.07/2.44 % (2524723)------------------------------
% 12.07/2.44 % (2524723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.44 % (2524723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.44 % (2524723)CaDiCaL version: 2.1.3
% 12.07/2.44 % (2524723)Termination reason: Refutation
% 12.07/2.44 % (2524723)Time elapsed: 1.355 s
% 12.07/2.44 % (2524723)Peak memory usage: 143 MB
% 12.07/2.44 % (2524723)Instructions burned: 2428 (million)
% 12.07/2.44 % (2524723)------------------------------
% 12.07/2.44 % (2524723)------------------------------
% 12.07/2.44 % (2524710)Success in time 1.693 s
% 12.07/2.44 % Vampire exiting
%------------------------------------------------------------------------------