%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL166-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 11:51:23 AM UTC 2026
% Result : Unsatisfiable 23.91s 4.49s
% Output : Refutation 24.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 8
% Syntax : Number of formulae : 116 ( 44 unt; 5 def)
% Number of atoms : 241 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 253 ( 128 ~; 125 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 294 ( 294 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xhn) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_um) ).
fof(f4,definition,
sF0 = equivalent(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
equivalent(a,b) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = equivalent(sF0,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
equivalent(sF0,c) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = equivalent(c,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
equivalent(c,a) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = equivalent(b,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
equivalent(b,sF2) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = equivalent(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
equivalent(sF1,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f3,f13,f11,f9,f7,f5]) ).
fof(f18,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f24,plain,
! [X0] : is_a_theorem(equivalent(b,equivalent(equivalent(X0,a),equivalent(sF0,X0)))),
inference(superposition,[],[f2,f5]) ).
fof(f25,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X0),X1))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f18,f1]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0) ),
inference(resolution,[],[f25,f1]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)))
| ~ is_a_theorem(equivalent(X3,X2))
| is_a_theorem(X3) ),
inference(resolution,[],[f32,f2]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X3,equivalent(X2,X0)))
| is_a_theorem(X3)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f32,f18]) ).
fof(f56,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f48,f18]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)))
| is_a_theorem(X0) ),
inference(resolution,[],[f56,f2]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),X0))
| is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f56,f18]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X3),X3)))
| is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f49,f18]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X4)),X1)),X3)))
| is_a_theorem(X0)
| ~ is_a_theorem(X4) ),
inference(resolution,[],[f49,f2]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,equivalent(X0,X3)),X1))
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f98,f18]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,equivalent(X1,X0))),X2)),X4)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f107,f2]) ).
fof(f127,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f97,f18]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f127,f1]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X1)) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f168,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(condensation,[],[f167]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X1) ),
inference(resolution,[],[f168,f68]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(X2,equivalent(X0,X1))) ),
inference(resolution,[],[f168,f107]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2))
| is_a_theorem(X3) ),
inference(resolution,[],[f175,f2]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X3,equivalent(X1,X0)),X2))
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| is_a_theorem(X0) ),
inference(resolution,[],[f191,f25]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X0,X3)))
| is_a_theorem(X3)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f204,f168]) ).
fof(f384,plain,
is_a_theorem(equivalent(b,equivalent(equivalent(c,a),sF1))),
inference(superposition,[],[f24,f7]) ).
fof(f385,plain,
is_a_theorem(equivalent(b,equivalent(sF2,sF1))),
inference(forward_demodulation,[],[f384,f9]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X3,X1)))
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f243,f2]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X1,equivalent(X3,X2)),X0)),X3))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f398,f2]) ).
fof(f557,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X1,equivalent(X3,X2)),X0)))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X3) ),
inference(resolution,[],[f417,f1]) ).
fof(f566,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X1),X2),X2))
| is_a_theorem(X0) ),
inference(resolution,[],[f557,f2]) ).
fof(f580,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X2),X1))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(resolution,[],[f566,f168]) ).
fof(f593,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(resolution,[],[f580,f168]) ).
fof(f611,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(duplicate_literal_removal,[],[f593]) ).
fof(f612,plain,
! [X2,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),X2))
| is_a_theorem(X1) ),
inference(condensation,[],[f611]) ).
fof(f1114,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(equivalent(X1,X2),X3))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f179,f2]) ).
fof(f1155,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(resolution,[],[f1114,f612]) ).
fof(f1243,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X0,X1)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f1155,f18]) ).
fof(f1268,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),X2))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f1243,f69]) ).
fof(f1315,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),X2)) ),
inference(duplicate_literal_removal,[],[f1268]) ).
fof(f1316,plain,
! [X2,X0] :
( is_a_theorem(equivalent(equivalent(X0,X2),X2))
| ~ is_a_theorem(X0) ),
inference(condensation,[],[f1315]) ).
fof(f1884,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X3,equivalent(X1,equivalent(X2,X0))))
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f120,f557]) ).
fof(f1940,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X3)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,equivalent(X1,X3))) ),
inference(resolution,[],[f1884,f1]) ).
fof(f1997,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X1),X0)))
| ~ is_a_theorem(equivalent(equivalent(X1,X2),X3))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1940,f2]) ).
fof(f2051,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(resolution,[],[f1997,f68]) ).
fof(f2420,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f2051,f417]) ).
fof(f2446,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f2420,f2]) ).
fof(f2481,plain,
! [X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X0),X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f2446,f1316]) ).
fof(f2597,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| is_a_theorem(X1) ),
inference(resolution,[],[f2481,f32]) ).
fof(f2598,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f2481,f56]) ).
fof(f2621,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X1,X1))
| ~ is_a_theorem(X0) ),
inference(duplicate_literal_removal,[],[f2598]) ).
fof(f2622,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| is_a_theorem(X1) ),
inference(duplicate_literal_removal,[],[f2597]) ).
fof(f2623,plain,
! [X2,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| is_a_theorem(X1) ),
inference(condensation,[],[f2622]) ).
fof(f2676,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,equivalent(X2,X1))) ),
inference(resolution,[],[f2621,f2420]) ).
fof(f2724,plain,
! [X2,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X2,X1)))
| is_a_theorem(X1) ),
inference(condensation,[],[f2676]) ).
fof(f2802,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1)),
inference(resolution,[],[f2724,f2]) ).
fof(f2811,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f2724,f2481]) ).
fof(f2840,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(resolution,[],[f2802,f2446]) ).
fof(f2893,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f2840,f612]) ).
fof(f3315,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X2)),X0))),
inference(resolution,[],[f2811,f2]) ).
fof(f3369,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f3315,f56]) ).
fof(f3451,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X3))),X0)),X2)),
inference(resolution,[],[f3369,f2]) ).
fof(f4445,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f3451,f2051]) ).
fof(f4454,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,equivalent(X0,equivalent(X3,X3))),X1))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f3451,f175]) ).
fof(f4510,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(equivalent(X1,X2),X0))
| ~ is_a_theorem(equivalent(X3,X3)) ),
inference(resolution,[],[f4445,f1997]) ).
fof(f4547,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),X0))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(forward_subsumption_resolution,[],[f4510,f2893]) ).
fof(f5638,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X2)))
| is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X3,X3)))) ),
inference(resolution,[],[f4454,f2623]) ).
fof(f5761,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),equivalent(X1,equivalent(X2,X2)))),
inference(resolution,[],[f5638,f2]) ).
fof(f5851,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),equivalent(X0,X1))),
inference(resolution,[],[f5761,f2446]) ).
fof(f5871,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(resolution,[],[f5761,f4445]) ).
fof(f5932,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X2,X0),X1)) ),
inference(resolution,[],[f5871,f398]) ).
fof(f6109,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f5851,f1]) ).
fof(f6150,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| ~ is_a_theorem(equivalent(X3,X3)) ),
inference(resolution,[],[f6109,f1997]) ).
fof(f6190,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(forward_subsumption_resolution,[],[f6150,f2893]) ).
fof(f6346,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),equivalent(X2,X0))),
inference(resolution,[],[f5932,f2]) ).
fof(f6352,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(X1,equivalent(X2,X2)))),
inference(resolution,[],[f5932,f3315]) ).
fof(f6421,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X2,X0),X1))),
inference(resolution,[],[f6346,f2446]) ).
fof(f6482,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X2,X0),X2),X1))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f6421,f398]) ).
fof(f6522,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),equivalent(X2,X0))),
inference(resolution,[],[f6421,f6109]) ).
fof(f6573,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),equivalent(equivalent(X2,X2),X0))),
inference(resolution,[],[f6522,f4547]) ).
fof(f6975,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(resolution,[],[f6352,f6109]) ).
fof(f7024,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(resolution,[],[f6975,f6190]) ).
fof(f7214,plain,
is_a_theorem(equivalent(equivalent(sF3,sF1),sF4)),
inference(superposition,[],[f7024,f13]) ).
fof(f7403,plain,
( ~ is_a_theorem(equivalent(sF3,sF1))
| is_a_theorem(sF4) ),
inference(resolution,[],[f7214,f1]) ).
fof(f7412,plain,
~ is_a_theorem(equivalent(sF3,sF1)),
inference(forward_subsumption_resolution,[],[f7403,f14]) ).
fof(f8378,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X2,X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f6482,f2446]) ).
fof(f8434,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
| is_a_theorem(equivalent(equivalent(equivalent(X3,X0),X3),X1)) ),
inference(resolution,[],[f6482,f6109]) ).
fof(f8533,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f8378,f1]) ).
fof(f8769,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),equivalent(equivalent(X2,X1),X2))),
inference(resolution,[],[f8434,f2]) ).
fof(f8876,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),equivalent(X0,X2))),
inference(resolution,[],[f8769,f5932]) ).
fof(f8896,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X1)))
| is_a_theorem(equivalent(equivalent(equivalent(X3,X2),X3),X0)) ),
inference(resolution,[],[f8769,f8533]) ).
fof(f8919,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),equivalent(equivalent(X1,X2),X2))),
inference(resolution,[],[f8896,f6573]) ).
fof(f9165,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f8876,f1]) ).
fof(f10080,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X2)),equivalent(X0,X1))),
inference(resolution,[],[f8919,f2446]) ).
fof(f10166,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),equivalent(equivalent(X2,X0),X2))),
inference(resolution,[],[f10080,f6190]) ).
fof(f10326,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f10166,f398]) ).
fof(f10457,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X1,X0),X2)) ),
inference(resolution,[],[f10326,f9165]) ).
fof(f10622,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X1,X2),X0))),
inference(resolution,[],[f10457,f2]) ).
fof(f10752,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),equivalent(X1,X2))),
inference(resolution,[],[f10622,f5932]) ).
fof(f11162,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X2,X0),X1))),
inference(resolution,[],[f10752,f4547]) ).
fof(f11235,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f11162,f398]) ).
fof(f11354,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f11235,f9165]) ).
fof(f11486,plain,
is_a_theorem(equivalent(equivalent(b,sF2),sF1)),
inference(resolution,[],[f11354,f385]) ).
fof(f11534,plain,
is_a_theorem(equivalent(sF3,sF1)),
inference(forward_demodulation,[],[f11486,f11]) ).
fof(f11535,plain,
$false,
inference(forward_subsumption_resolution,[],[f11534,f7412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL166-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 15:27:12 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 15.99/3.32 % (2993001)Input is clausal, will run a generic CNF schedule.
% 15.99/3.32 % (2993019)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2867477762:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 15.99/3.32 % (2993020)dis-21_1_sil=8000:lcm=predicate:random_seed=1663906650: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)
% 15.99/3.32 % (2993017)lrs+10_1_sil=8000:sp=occurrence:random_seed=1026069948:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 15.99/3.32 % (2993016)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2657816028:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 15.99/3.32 % (2993015)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=551129328:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 15.99/3.32 % (2993014)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=3668334733:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 15.99/3.32 % (2993018)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2442534442:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 15.99/3.32 % (2993017)Instruction limit reached!
% 15.99/3.32 % (2993017)------------------------------
% 15.99/3.32 % (2993017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/3.32 % (2993017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/3.32 % (2993017)CaDiCaL version: 2.1.3
% 15.99/3.32 % (2993017)Termination reason: Instruction limit
% 15.99/3.32 % (2993017)Termination phase: Saturation
% 15.99/3.32 % (2993017)Time elapsed: 0.073 s
% 15.99/3.32 % (2993017)Peak memory usage: 88 MB
% 15.99/3.32 % (2993017)Instructions burned: 108 (million)
% 15.99/3.32 % (2993019)Instruction limit reached!
% 15.99/3.32 % (2993019)------------------------------
% 15.99/3.32 % (2993019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/3.32 % (2993019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/3.32 % (2993019)CaDiCaL version: 2.1.3
% 15.99/3.32 % (2993019)Termination reason: Instruction limit
% 15.99/3.32 % (2993019)Termination phase: Saturation
% 15.99/3.32 % (2993019)Time elapsed: 0.098 s
% 15.99/3.32 % (2993019)Peak memory usage: 89 MB
% 15.99/3.32 % (2993019)Instructions burned: 182 (million)
% 15.99/3.32 % (2993020)Instruction limit reached!
% 15.99/3.32 % (2993020)------------------------------
% 15.99/3.32 % (2993020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/3.32 % (2993020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/3.32 % (2993020)CaDiCaL version: 2.1.3
% 15.99/3.32 % (2993020)Termination reason: Instruction limit
% 15.99/3.32 % (2993020)Termination phase: Saturation
% 15.99/3.32 % (2993020)Time elapsed: 0.114 s
% 15.99/3.32 % (2993020)Peak memory usage: 88 MB
% 15.99/3.32 % (2993020)Instructions burned: 117 (million)
% 15.99/3.32 % (2993018)Instruction limit reached!
% 15.99/3.32 % (2993018)------------------------------
% 15.99/3.32 % (2993018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/3.32 % (2993018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/3.32 % (2993018)CaDiCaL version: 2.1.3
% 15.99/3.32 % (2993018)Termination reason: Instruction limit
% 15.99/3.32 % (2993018)Termination phase: Saturation
% 15.99/3.32 % (2993018)Time elapsed: 0.112 s
% 15.99/3.32 % (2993018)Peak memory usage: 88 MB
% 15.99/3.32 % (2993018)Instructions burned: 115 (million)
% 15.99/3.32 % (2993030)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=263132156:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 15.99/3.32 % (2993030)Refutation not found, incomplete strategy
% 15.99/3.32 % (2993030)------------------------------
% 15.99/3.32 % (2993030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/3.32 % (2993030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/3.32 % (2993030)CaDiCaL version: 2.1.3
% 15.99/3.32 % (2993030)Termination reason: Refutation not found, incomplete strategy
% 15.99/3.32 % (2993030)Time elapsed: 0.001 s
% 15.99/3.32 % (2993030)Peak memory usage: 87 MB
% 15.99/3.32 % (2993032)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3067079020:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 23.91/4.49 % (2993032)Refutation not found, incomplete strategy
% 23.91/4.49 % (2993032)------------------------------
% 23.91/4.49 % (2993032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993032)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993032)Termination reason: Refutation not found, incomplete strategy
% 23.91/4.49 % (2993032)Time elapsed: 0.001 s
% 23.91/4.49 % (2993032)Peak memory usage: 87 MB
% 23.91/4.49 % (2993031)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1525392253: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)
% 23.91/4.49 % (2993031)Instruction limit reached!
% 23.91/4.49 % (2993031)------------------------------
% 23.91/4.49 % (2993031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993031)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993031)Termination reason: Instruction limit
% 23.91/4.49 % (2993031)Termination phase: Saturation
% 23.91/4.49 % (2993031)Time elapsed: 0.114 s
% 23.91/4.49 % (2993031)Peak memory usage: 89 MB
% 23.91/4.49 % (2993031)Instructions burned: 190 (million)
% 23.91/4.49 % (2993033)lrs+10_64_to=lpo:sil=8000:random_seed=1276948973:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 23.91/4.49 % (2993032)------------------------------
% 23.91/4.49 % (2993032)------------------------------
% 23.91/4.49 % (2993033)Instruction limit reached!
% 23.91/4.49 % (2993033)------------------------------
% 23.91/4.49 % (2993033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993033)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993033)Termination reason: Instruction limit
% 23.91/4.49 % (2993033)Termination phase: Saturation
% 23.91/4.49 % (2993033)Time elapsed: 0.128 s
% 23.91/4.49 % (2993033)Peak memory usage: 88 MB
% 23.91/4.49 % (2993033)Instructions burned: 127 (million)
% 23.91/4.49 % (2993037)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3458766712:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 23.91/4.49 % (2993039)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1678094330:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 23.91/4.49 % (2993030)------------------------------
% 23.91/4.49 % (2993030)------------------------------
% 23.91/4.49 % (2993040)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3194036867:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 23.91/4.49 % (2993039)Instruction limit reached!
% 23.91/4.49 % (2993039)------------------------------
% 23.91/4.49 % (2993039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993039)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993039)Termination reason: Instruction limit
% 23.91/4.49 % (2993039)Termination phase: Saturation
% 23.91/4.49 % (2993039)Time elapsed: 0.116 s
% 23.91/4.49 % (2993039)Peak memory usage: 90 MB
% 23.91/4.49 % (2993039)Instructions burned: 158 (million)
% 23.91/4.49 % (2993037)Instruction limit reached!
% 23.91/4.49 % (2993037)------------------------------
% 23.91/4.49 % (2993037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993037)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993037)Termination reason: Instruction limit
% 23.91/4.49 % (2993037)Termination phase: Saturation
% 23.91/4.49 % (2993037)Time elapsed: 0.200 s
% 23.91/4.49 % (2993037)Peak memory usage: 89 MB
% 23.91/4.49 % (2993037)Instructions burned: 194 (million)
% 23.91/4.49 % (2993045)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=3066575792:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 23.91/4.49 % (2993047)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=618300462:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 23.91/4.49 % (2993047)Refutation not found, incomplete strategy
% 23.91/4.49 % (2993047)------------------------------
% 23.91/4.49 % (2993047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993047)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993047)Termination reason: Refutation not found, incomplete strategy
% 23.91/4.49 % (2993047)Time elapsed: 0.002 s
% 23.91/4.49 % (2993047)Peak memory usage: 86 MB
% 23.91/4.49 % (2993045)Instruction limit reached!
% 23.91/4.49 % (2993045)------------------------------
% 23.91/4.49 % (2993045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993045)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993045)Termination reason: Instruction limit
% 23.91/4.49 % (2993045)Termination phase: Saturation
% 23.91/4.49 % (2993045)Time elapsed: 0.095 s
% 23.91/4.49 % (2993045)Peak memory usage: 88 MB
% 23.91/4.49 % (2993045)Instructions burned: 107 (million)
% 23.91/4.49 % (2993048)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1950463291:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 23.91/4.49 % (2993051)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4248323984:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 23.91/4.49 % (2993048)Instruction limit reached!
% 23.91/4.49 % (2993048)------------------------------
% 23.91/4.49 % (2993048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993048)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993048)Termination reason: Instruction limit
% 23.91/4.49 % (2993048)Termination phase: Saturation
% 23.91/4.49 % (2993048)Time elapsed: 0.212 s
% 23.91/4.49 % (2993048)Peak memory usage: 90 MB
% 23.91/4.49 % (2993048)Instructions burned: 242 (million)
% 23.91/4.49 % (2993047)------------------------------
% 23.91/4.49 % (2993047)------------------------------
% 23.91/4.49 % (2993054)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3952218467:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 23.91/4.49 % (2993057)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1997840132:i=499:bd=all_2985 on theBenchmark for (2985ds/499Mi)
% 23.91/4.49 % (2993054)Instruction limit reached!
% 23.91/4.49 % (2993054)------------------------------
% 23.91/4.49 % (2993054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993054)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993054)Termination reason: Instruction limit
% 23.91/4.49 % (2993054)Termination phase: Saturation
% 23.91/4.49 % (2993054)Time elapsed: 0.146 s
% 23.91/4.49 % (2993054)Peak memory usage: 89 MB
% 23.91/4.49 % (2993054)Instructions burned: 134 (million)
% 23.91/4.49 % (2993060)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=583022813:i=191:fgj=on:bd=all_2982 on theBenchmark for (2982ds/191Mi)
% 23.91/4.49 % (2993060)Instruction limit reached!
% 23.91/4.49 % (2993060)------------------------------
% 23.91/4.49 % (2993060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993060)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993060)Termination reason: Instruction limit
% 23.91/4.49 % (2993060)Termination phase: Saturation
% 23.91/4.49 % (2993060)Time elapsed: 0.191 s
% 23.91/4.49 % (2993060)Peak memory usage: 89 MB
% 23.91/4.49 % (2993060)Instructions burned: 191 (million)
% 23.91/4.49 % (2993057)Instruction limit reached!
% 23.91/4.49 % (2993057)------------------------------
% 23.91/4.49 % (2993057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993057)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993057)Termination reason: Instruction limit
% 23.91/4.49 % (2993057)Termination phase: Saturation
% 23.91/4.49 % (2993057)Time elapsed: 0.426 s
% 23.91/4.49 % (2993057)Peak memory usage: 90 MB
% 23.91/4.49 % (2993057)Instructions burned: 499 (million)
% 23.91/4.49 % (2993062)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2330413320:i=264:kws=precedence:fsr=off_2979 on theBenchmark for (2979ds/264Mi)
% 23.91/4.49 % (2993063)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=82410521:cond=on:i=156:bs=on:gtg=exists_all:er=known_2978 on theBenchmark for (2978ds/156Mi)
% 23.91/4.49 % (2993062)Instruction limit reached!
% 23.91/4.49 % (2993062)------------------------------
% 23.91/4.49 % (2993062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993062)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993062)Termination reason: Instruction limit
% 23.91/4.49 % (2993062)Termination phase: Saturation
% 23.91/4.49 % (2993062)Time elapsed: 0.261 s
% 23.91/4.49 % (2993062)Peak memory usage: 90 MB
% 23.91/4.49 % (2993062)Instructions burned: 264 (million)
% 23.91/4.49 % (2993063)Instruction limit reached!
% 23.91/4.49 % (2993063)------------------------------
% 23.91/4.49 % (2993063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993063)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993063)Termination reason: Instruction limit
% 23.91/4.49 % (2993063)Termination phase: Saturation
% 23.91/4.49 % (2993063)Time elapsed: 0.159 s
% 23.91/4.49 % (2993063)Peak memory usage: 89 MB
% 23.91/4.49 % (2993063)Instructions burned: 156 (million)
% 23.91/4.49 % (2993066)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=4156150137:i=3256:kws=precedence:bd=preordered:av=off_2975 on theBenchmark for (2975ds/3256Mi)
% 23.91/4.49 % (2993067)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3455824291:i=537:av=off:ss=included_2974 on theBenchmark for (2974ds/537Mi)
% 23.91/4.49 % (2993051)First to succeed.
% 23.91/4.49 % (2993051)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2993001"
% 23.91/4.49 % (2993067)Instruction limit reached!
% 23.91/4.49 % (2993067)------------------------------
% 23.91/4.49 % (2993067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.49 % (2993067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.49 % (2993067)CaDiCaL version: 2.1.3
% 23.91/4.49 % (2993067)Termination reason: Instruction limit
% 23.91/4.49 % (2993067)Termination phase: Saturation
% 23.91/4.49 % (2993067)Time elapsed: 0.518 s
% 23.91/4.49 % (2993067)Peak memory usage: 90 MB
% 23.91/4.49 % (2993067)Instructions burned: 537 (million)
% 23.91/4.49 % (2993051)Refutation found. Thanks to Tanya!
% 23.91/4.49 % SZS status Unsatisfiable for theBenchmark
% 23.91/4.49 % SZS output start Proof for theBenchmark
% See solution above
% 24.73/4.64 % (2993051)------------------------------
% 24.73/4.64 % (2993051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.73/4.64 % (2993051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.73/4.64 % (2993051)CaDiCaL version: 2.1.3
% 24.73/4.64 % (2993051)Termination reason: Refutation
% 24.73/4.64 % (2993051)Time elapsed: 1.821 s
% 24.73/4.64 % (2993051)Peak memory usage: 148 MB
% 24.73/4.64 % (2993051)Instructions burned: 3507 (million)
% 24.73/4.64 % (2993051)------------------------------
% 24.73/4.64 % (2993051)------------------------------
% 24.73/4.64 % (2993001)Success in time 3.385 s
% 24.73/4.64 % Vampire exiting
%------------------------------------------------------------------------------