%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL109-4 : 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 : n019.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 11:51:13 AM UTC 2026
% Result : Unsatisfiable 14.43s 5.41s
% Output : Refutation 29.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 12
% Syntax : Number of formulae : 131 ( 117 unt; 4 def)
% Number of atoms : 145 ( 124 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 250 ( 250 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big_V_definition) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
inference(reorient_equations,[],[f7]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order_definition1) ).
fof(f11,plain,
! [X0,X1] :
( truth = implies(X0,X1)
| ~ ordered(X0,X1) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( implies(X0,X1) != truth
| ordered(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_order_definition2) ).
fof(f13,plain,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
big_V(implies(x,y),implies(y,x)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_4) ).
fof(f15,plain,
truth != big_V(implies(x,y),implies(y,x)),
inference(reorient_equations,[],[f14]) ).
fof(f17,plain,
truth != implies(implies(implies(x,y),implies(y,x)),implies(y,x)),
inference(definition_unfolding,[],[f15,f8]) ).
fof(f18,definition,
sF0 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f19,plain,
implies(x,y) = sF0,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF1 = implies(y,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f21,plain,
implies(y,x) = sF1,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF2 = implies(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f23,plain,
implies(sF0,sF1) = sF2,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF3 = implies(sF2,sF1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f25,plain,
implies(sF2,sF1) = sF3,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
truth != sF3,
inference(definition_folding,[],[f17,f25,f21,f23,f21,f19]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
inference(superposition,[],[f3,f3]) ).
fof(f32,plain,
! [X2,X3,X0,X1] : truth = implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3)),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f34,plain,
! [X2,X0,X1] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)) = implies(truth,implies(implies(X0,X1),implies(X2,X1))),
inference(superposition,[],[f4,f3]) ).
fof(f41,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,X1)) = implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f59,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f61,plain,
! [X0,X1] : truth = implies(implies(X1,truth),implies(X0,implies(X1,X0))),
inference(superposition,[],[f3,f1]) ).
fof(f62,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f3,f1]) ).
fof(f63,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f80,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(superposition,[],[f3,f63]) ).
fof(f81,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f63]) ).
fof(f83,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f84,plain,
! [X2,X0,X1] : truth = implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f93,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f59,f83]) ).
fof(f115,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f126,plain,
! [X2,X0,X1] : truth = implies(implies(X0,implies(not(X1),not(X2))),implies(truth,implies(X0,implies(X2,X1)))),
inference(superposition,[],[f3,f6]) ).
fof(f130,plain,
! [X2,X0,X1] : truth = implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f126,f1]) ).
fof(f145,plain,
! [X0,X1] :
( implies(truth,X0) = implies(implies(X0,X1),X1)
| ~ ordered(X1,X0) ),
inference(superposition,[],[f4,f11]) ).
fof(f157,plain,
( truth = sF3
| ~ ordered(sF2,sF1) ),
inference(superposition,[],[f25,f11]) ).
fof(f158,plain,
~ ordered(sF2,sF1),
inference(forward_subsumption_resolution,[],[f157,f26]) ).
fof(f188,plain,
! [X0,X1] :
( implies(implies(X0,X1),X1) = X0
| ~ ordered(X1,X0) ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f302,plain,
! [X0] :
( truth != truth
| ordered(X0,X0) ),
inference(superposition,[],[f13,f83]) ).
fof(f317,plain,
! [X0] : ordered(X0,X0),
inference(trivial_inequality_removal,[],[f302]) ).
fof(f374,plain,
! [X0] : truth = implies(X0,truth),
inference(superposition,[],[f63,f93]) ).
fof(f400,plain,
! [X0,X1] : truth = implies(truth,implies(X0,implies(X1,X0))),
inference(backward_demodulation,[],[f61,f374]) ).
fof(f426,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(forward_demodulation,[],[f400,f1]) ).
fof(f453,plain,
! [X0,X1] :
( truth != truth
| ordered(X0,implies(X1,X0)) ),
inference(superposition,[],[f13,f426]) ).
fof(f459,plain,
! [X0,X1] : ordered(X0,implies(X1,X0)),
inference(trivial_inequality_removal,[],[f453]) ).
fof(f777,plain,
! [X0,X1] : truth = implies(truth,implies(not(X0),implies(X0,X1))),
inference(superposition,[],[f130,f426]) ).
fof(f866,plain,
! [X0,X1] : truth = implies(not(X0),implies(X0,X1)),
inference(forward_demodulation,[],[f777,f1]) ).
fof(f879,plain,
! [X0] : truth = implies(not(truth),X0),
inference(superposition,[],[f866,f1]) ).
fof(f1004,plain,
! [X0] :
( truth != truth
| ordered(not(truth),X0) ),
inference(superposition,[],[f13,f879]) ).
fof(f1020,plain,
! [X0] : ordered(not(truth),X0),
inference(trivial_inequality_removal,[],[f1004]) ).
fof(f1257,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),
inference(superposition,[],[f32,f84]) ).
fof(f1377,plain,
! [X2,X0,X1] : truth = implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f1257,f1]) ).
fof(f1540,plain,
! [X0,X1] : truth = implies(truth,implies(X0,implies(not(X0),X1))),
inference(superposition,[],[f1377,f866]) ).
fof(f1603,plain,
! [X2,X3,X0,X1] : truth = implies(implies(X0,implies(X1,implies(X2,X3))),implies(truth,implies(X0,implies(X2,implies(X1,X3))))),
inference(superposition,[],[f3,f1377]) ).
fof(f1606,plain,
! [X2,X0,X1] : implies(truth,implies(X0,implies(X1,X2))) = implies(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2))),
inference(superposition,[],[f4,f1377]) ).
fof(f1612,plain,
! [X2,X3,X0,X1] : implies(truth,implies(X3,implies(X1,implies(X0,X2)))) = implies(implies(implies(truth,implies(X3,implies(X1,implies(X0,X2)))),implies(X3,implies(X0,implies(X1,X2)))),implies(X3,implies(X0,implies(X1,X2)))),
inference(superposition,[],[f41,f1377]) ).
fof(f1633,plain,
! [X2,X3,X0,X1] : implies(X3,implies(X1,implies(X0,X2))) = implies(implies(implies(X3,implies(X1,implies(X0,X2))),implies(X3,implies(X0,implies(X1,X2)))),implies(X3,implies(X0,implies(X1,X2)))),
inference(forward_demodulation,[],[f1612,f1]) ).
fof(f1637,plain,
! [X2,X0,X1] : implies(truth,implies(X0,implies(X1,X2))) = implies(truth,implies(X1,implies(X0,X2))),
inference(forward_demodulation,[],[f1606,f1377]) ).
fof(f1640,plain,
! [X2,X3,X0,X1] : truth = implies(implies(X0,implies(X1,implies(X2,X3))),implies(X0,implies(X2,implies(X1,X3)))),
inference(forward_demodulation,[],[f1603,f1]) ).
fof(f1673,plain,
! [X0,X1] : truth = implies(X0,implies(not(X0),X1)),
inference(forward_demodulation,[],[f1540,f1]) ).
fof(f1708,plain,
! [X2,X0,X1] : implies(truth,implies(X0,implies(X1,X2))) = implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f1637,f1]) ).
fof(f1710,plain,
! [X2,X3,X0,X1] : implies(X3,implies(X1,implies(X0,X2))) = implies(truth,implies(X3,implies(X0,implies(X1,X2)))),
inference(backward_demodulation,[],[f1633,f1640]) ).
fof(f1731,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f1708,f1]) ).
fof(f1733,plain,
! [X2,X3,X0,X1] : implies(X3,implies(X1,implies(X0,X2))) = implies(X3,implies(X0,implies(X1,X2))),
inference(forward_demodulation,[],[f1710,f1]) ).
fof(f1803,plain,
! [X2,X3,X0,X1] : implies(X3,implies(X0,implies(X1,X2))) = implies(X1,implies(X3,implies(X0,X2))),
inference(superposition,[],[f1731,f1731]) ).
fof(f1807,plain,
! [X2,X0,X1] : implies(X2,implies(implies(X0,X1),X1)) = implies(implies(X1,X0),implies(X2,X0)),
inference(superposition,[],[f1731,f4]) ).
fof(f1822,plain,
! [X0] : implies(X0,sF1) = implies(y,implies(X0,x)),
inference(superposition,[],[f1731,f21]) ).
fof(f2361,plain,
! [X0,X1] :
( truth != truth
| ordered(X0,implies(not(X0),X1)) ),
inference(superposition,[],[f13,f1673]) ).
fof(f2392,plain,
! [X0,X1] : ordered(X0,implies(not(X0),X1)),
inference(trivial_inequality_removal,[],[f2361]) ).
fof(f4703,plain,
! [X0,X1] :
( implies(X1,X0) = implies(implies(implies(X0,X1),X1),X0)
| ~ ordered(X0,implies(X1,X0)) ),
inference(superposition,[],[f188,f4]) ).
fof(f4709,plain,
! [X0] :
( implies(truth,X0) = implies(not(X0),not(truth))
| ~ ordered(X0,implies(not(X0),not(truth))) ),
inference(superposition,[],[f188,f115]) ).
fof(f4830,plain,
! [X0] : implies(truth,X0) = implies(not(X0),not(truth)),
inference(forward_subsumption_resolution,[],[f4709,f2392]) ).
fof(f4836,plain,
! [X0,X1] : implies(X1,X0) = implies(implies(implies(X0,X1),X1),X0),
inference(forward_subsumption_resolution,[],[f4703,f459]) ).
fof(f4899,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f4830,f1]) ).
fof(f4957,plain,
! [X0] :
( not(X0) = implies(X0,not(truth))
| ~ ordered(not(truth),not(X0)) ),
inference(superposition,[],[f188,f4899]) ).
fof(f4967,plain,
! [X0,X1] : implies(X1,X0) = implies(not(X0),implies(X1,not(truth))),
inference(superposition,[],[f1731,f4899]) ).
fof(f4971,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(X1,implies(implies(not(truth),not(X0)),not(X0))),
inference(superposition,[],[f1807,f4899]) ).
fof(f4972,plain,
! [X0,X1] : implies(implies(X1,not(truth)),X0) = implies(not(X0),implies(implies(not(truth),X1),X1)),
inference(superposition,[],[f1807,f4899]) ).
fof(f4975,plain,
! [X0,X1] : implies(implies(X1,not(truth)),X0) = implies(not(X0),implies(truth,X1)),
inference(forward_demodulation,[],[f4972,f879]) ).
fof(f4976,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(X1,implies(truth,not(X0))),
inference(forward_demodulation,[],[f4971,f879]) ).
fof(f4982,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(forward_subsumption_resolution,[],[f4957,f1020]) ).
fof(f4994,plain,
! [X0,X1] : implies(not(X0),X1) = implies(implies(X1,not(truth)),X0),
inference(forward_demodulation,[],[f4975,f1]) ).
fof(f4995,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,implies(X1,not(truth))),
inference(forward_demodulation,[],[f4976,f1]) ).
fof(f5009,plain,
! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
inference(backward_demodulation,[],[f4967,f4982]) ).
fof(f5024,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(forward_demodulation,[],[f4994,f4982]) ).
fof(f5025,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(forward_demodulation,[],[f4995,f4982]) ).
fof(f5235,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),not(X1)) = implies(implies(X0,X1),not(X0)),
inference(superposition,[],[f4,f5009]) ).
fof(f5282,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),not(X1)) = implies(X0,not(implies(X0,X1))),
inference(forward_demodulation,[],[f5235,f5025]) ).
fof(f5295,plain,
! [X0,X1] : implies(X1,not(implies(not(X0),not(X1)))) = implies(X0,not(implies(X0,X1))),
inference(forward_demodulation,[],[f5282,f5025]) ).
fof(f5302,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(X1,not(implies(X1,X0))),
inference(forward_demodulation,[],[f5295,f5009]) ).
fof(f5631,plain,
! [X2,X0,X1] : implies(X2,implies(not(X0),X1)) = implies(not(X1),implies(X2,X0)),
inference(superposition,[],[f1731,f5024]) ).
fof(f5887,plain,
! [X0,X1] : implies(implies(not(implies(X1,X0)),X1),X1) = implies(implies(X0,not(implies(X0,X1))),not(implies(X1,X0))),
inference(superposition,[],[f4,f5302]) ).
fof(f5948,plain,
! [X0,X1] : implies(implies(not(implies(X1,X0)),X1),X1) = implies(implies(X1,X0),not(implies(X0,not(implies(X0,X1))))),
inference(forward_demodulation,[],[f5887,f5025]) ).
fof(f6046,plain,
! [X0,X1] : implies(implies(not(X1),implies(X1,X0)),X1) = implies(implies(X1,X0),not(implies(X0,not(implies(X0,X1))))),
inference(forward_demodulation,[],[f5948,f5024]) ).
fof(f6111,plain,
! [X0,X1] : implies(truth,X1) = implies(implies(X1,X0),not(implies(X0,not(implies(X0,X1))))),
inference(forward_demodulation,[],[f6046,f866]) ).
fof(f6144,plain,
! [X0,X1] : implies(implies(X1,X0),not(implies(X0,not(implies(X0,X1))))) = X1,
inference(forward_demodulation,[],[f6111,f1]) ).
fof(f6253,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X0,X1),not(X0)),not(implies(not(X0),not(truth)))),
inference(superposition,[],[f6144,f866]) ).
fof(f6284,plain,
! [X0,X1] : implies(implies(not(implies(X1,not(implies(X1,X0)))),implies(X0,X1)),implies(X0,X1)) = implies(X0,not(implies(X1,not(implies(X1,X0))))),
inference(superposition,[],[f4,f6144]) ).
fof(f6329,plain,
! [X0,X1] : implies(X0,not(implies(X1,not(implies(X1,X0))))) = implies(X0,implies(implies(not(implies(X1,not(implies(X1,X0)))),implies(X0,X1)),X1)),
inference(forward_demodulation,[],[f6284,f1731]) ).
fof(f6351,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(not(X0),not(truth)),not(implies(implies(X0,X1),not(X0)))),
inference(forward_demodulation,[],[f6253,f5025]) ).
fof(f6422,plain,
! [X0,X1] : implies(X0,not(implies(X1,not(implies(X1,X0))))) = implies(X0,implies(implies(X0,implies(not(X1),implies(X1,not(implies(X1,X0))))),X1)),
inference(forward_demodulation,[],[f6329,f5631]) ).
fof(f6441,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(not(X0),not(truth)),not(implies(X0,not(implies(X0,X1))))),
inference(forward_demodulation,[],[f6351,f5025]) ).
fof(f6501,plain,
! [X0,X1] : implies(X0,not(implies(X1,not(implies(X1,X0))))) = implies(X0,implies(implies(X0,implies(X1,implies(not(X1),not(implies(X1,X0))))),X1)),
inference(forward_demodulation,[],[f6422,f1733]) ).
fof(f6517,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(truth,X0),not(implies(X0,not(implies(X0,X1))))),
inference(forward_demodulation,[],[f6441,f5009]) ).
fof(f6571,plain,
! [X0,X1] : implies(X0,not(implies(X1,not(implies(X1,X0))))) = implies(X0,implies(implies(X0,truth),X1)),
inference(forward_demodulation,[],[f6501,f1673]) ).
fof(f6582,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X0,not(implies(X0,X1))))),
inference(forward_demodulation,[],[f6517,f1]) ).
fof(f6623,plain,
! [X0,X1] : implies(X0,implies(truth,X1)) = implies(X0,not(implies(X1,not(implies(X1,X0))))),
inference(forward_demodulation,[],[f6571,f374]) ).
fof(f6651,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,not(implies(X1,X0))))),
inference(forward_demodulation,[],[f6623,f1]) ).
fof(f6980,plain,
! [X2,X3,X0,X1] : implies(implies(X2,implies(X1,X3)),X0) = implies(implies(implies(X0,implies(X1,implies(X2,X3))),implies(X2,implies(X1,X3))),X0),
inference(superposition,[],[f4836,f1733]) ).
fof(f7027,plain,
! [X2,X0,X1] : implies(implies(X0,X2),X1) = implies(implies(X0,implies(implies(X1,implies(X0,X2)),X2)),X1),
inference(superposition,[],[f4836,f1731]) ).
fof(f7185,plain,
! [X2,X3,X0,X1] : implies(implies(X2,implies(X1,X3)),X0) = implies(implies(X1,implies(implies(X0,implies(X1,implies(X2,X3))),implies(X2,X3))),X0),
inference(forward_demodulation,[],[f6980,f1803]) ).
fof(f7228,plain,
! [X2,X3,X0,X1] : implies(implies(X2,implies(X1,X3)),X0) = implies(implies(X1,implies(X2,X3)),X0),
inference(forward_demodulation,[],[f7185,f7027]) ).
fof(f7357,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,not(implies(X0,not(implies(X0,X1)))))) = implies(X2,implies(implies(not(implies(X0,not(implies(X0,X1)))),X0),X0)),
inference(superposition,[],[f1807,f6582]) ).
fof(f7380,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,not(implies(X0,not(implies(X0,X1)))))) = implies(X2,implies(implies(not(X0),implies(X0,not(implies(X0,X1)))),X0)),
inference(forward_demodulation,[],[f7357,f5024]) ).
fof(f7447,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,not(implies(X0,not(implies(X0,X1)))))) = implies(X2,implies(implies(X0,implies(not(X0),not(implies(X0,X1)))),X0)),
inference(forward_demodulation,[],[f7380,f7228]) ).
fof(f7491,plain,
! [X2,X0,X1] : implies(X2,implies(truth,X0)) = implies(implies(X0,X1),implies(X2,not(implies(X0,not(implies(X0,X1)))))),
inference(forward_demodulation,[],[f7447,f1673]) ).
fof(f7517,plain,
! [X2,X0,X1] : implies(X2,X0) = implies(implies(X0,X1),implies(X2,not(implies(X0,not(implies(X0,X1)))))),
inference(forward_demodulation,[],[f7491,f1]) ).
fof(f16932,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(X1,X0),implies(X0,X1)),
inference(superposition,[],[f7517,f6651]) ).
fof(f17111,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,implies(implies(X1,X0),X1)),
inference(forward_demodulation,[],[f16932,f1731]) ).
fof(f17727,plain,
implies(y,x) = implies(implies(x,y),sF1),
inference(superposition,[],[f1822,f17111]) ).
fof(f17736,plain,
implies(y,x) = implies(sF0,sF1),
inference(forward_demodulation,[],[f17727,f19]) ).
fof(f17862,plain,
implies(y,x) = sF2,
inference(forward_demodulation,[],[f17736,f23]) ).
fof(f17929,plain,
sF1 = sF2,
inference(backward_demodulation,[],[f21,f17862]) ).
fof(f17973,plain,
~ ordered(sF2,sF2),
inference(backward_demodulation,[],[f158,f17929]) ).
fof(f18554,plain,
$false,
inference(forward_subsumption_resolution,[],[f17973,f317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL109-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 % Computer : n019.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 15:22:18 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.54 Running first-order theorem proving
% 0.26/0.54 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
% 18.30/4.05 % (3195730)Input is clausal, will run a generic CNF schedule.
% 18.30/4.05 % (3195736)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1731748198:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.30/4.05 % (3195735)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=3868948640:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.30/4.05 % (3195739)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3364425756:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.30/4.05 % (3195737)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3001612855:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.30/4.05 % (3195741)dis-21_1_sil=8000:lcm=predicate:random_seed=3482734105: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)
% 18.30/4.05 % (3195740)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1066525029:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.30/4.05 % (3195738)lrs+10_1_sil=8000:sp=occurrence:random_seed=153084633:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.30/4.05 % (3195741)Refutation not found, incomplete strategy
% 18.30/4.05 % (3195741)------------------------------
% 18.30/4.05 % (3195741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/4.05 % (3195741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/4.05 % (3195741)CaDiCaL version: 2.1.3
% 18.30/4.05 % (3195741)Termination reason: Refutation not found, incomplete strategy
% 18.30/4.05 % (3195741)Time elapsed: 0.002 s
% 18.30/4.05 % (3195741)Peak memory usage: 87 MB
% 18.30/4.05 % (3195739)Instruction limit reached!
% 18.30/4.05 % (3195739)------------------------------
% 18.30/4.05 % (3195739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/4.05 % (3195739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/4.05 % (3195739)CaDiCaL version: 2.1.3
% 18.30/4.05 % (3195739)Termination reason: Instruction limit
% 18.30/4.05 % (3195739)Termination phase: Saturation
% 18.30/4.05 % (3195739)Time elapsed: 0.106 s
% 18.30/4.05 % (3195739)Peak memory usage: 89 MB
% 18.30/4.05 % (3195739)Instructions burned: 114 (million)
% 18.30/4.05 % (3195738)Instruction limit reached!
% 18.30/4.05 % (3195738)------------------------------
% 18.30/4.05 % (3195738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/4.05 % (3195738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/4.05 % (3195738)CaDiCaL version: 2.1.3
% 18.30/4.05 % (3195738)Termination reason: Instruction limit
% 18.30/4.05 % (3195738)Termination phase: Saturation
% 18.30/4.05 % (3195738)Time elapsed: 0.103 s
% 18.30/4.05 % (3195738)Peak memory usage: 89 MB
% 18.30/4.05 % (3195738)Instructions burned: 107 (million)
% 18.30/4.05 % (3195740)Instruction limit reached!
% 18.30/4.05 % (3195740)------------------------------
% 18.30/4.05 % (3195740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/4.05 % (3195740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/4.05 % (3195740)CaDiCaL version: 2.1.3
% 18.30/4.05 % (3195740)Termination reason: Instruction limit
% 18.30/4.05 % (3195740)Termination phase: Saturation
% 18.30/4.05 % (3195740)Time elapsed: 0.160 s
% 18.30/4.05 % (3195740)Peak memory usage: 89 MB
% 18.30/4.05 % (3195740)Instructions burned: 180 (million)
% 18.30/4.05 % (3195749)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=18908068:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 18.30/4.05 % (3195749)Refutation not found, incomplete strategy
% 18.30/4.05 % (3195749)------------------------------
% 18.30/4.05 % (3195749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.30/4.05 % (3195749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.30/4.05 % (3195749)CaDiCaL version: 2.1.3
% 18.30/4.05 % (3195749)Termination reason: Refutation not found, incomplete strategy
% 18.30/4.05 % (3195749)Time elapsed: 0.001 s
% 18.30/4.05 % (3195749)Peak memory usage: 88 MB
% 18.30/4.05 % (3195749)Instructions burned: 1 (million)
% 18.30/4.05 % (3195750)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3141683996:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 14.43/5.40 % (3195750)Refutation not found, incomplete strategy
% 14.43/5.40 % (3195750)------------------------------
% 14.43/5.40 % (3195750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.40 % (3195750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.40 % (3195750)CaDiCaL version: 2.1.3
% 14.43/5.40 % (3195750)Termination reason: Refutation not found, incomplete strategy
% 14.43/5.40 % (3195750)Time elapsed: 0.003 s
% 14.43/5.40 % (3195750)Peak memory usage: 88 MB
% 14.43/5.40 % (3195750)Instructions burned: 1 (million)
% 14.43/5.40 % (3195741)------------------------------
% 14.43/5.40 % (3195741)------------------------------
% 14.43/5.40 % (3195751)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2848929468:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 14.43/5.40 % (3195751)Refutation not found, incomplete strategy
% 14.43/5.40 % (3195751)------------------------------
% 14.43/5.40 % (3195751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.40 % (3195751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.40 % (3195751)CaDiCaL version: 2.1.3
% 14.43/5.40 % (3195751)Termination reason: Refutation not found, incomplete strategy
% 14.43/5.40 % (3195751)Time elapsed: 0.003 s
% 14.43/5.40 % (3195751)Peak memory usage: 88 MB
% 14.43/5.40 % (3195751)Instructions burned: 1 (million)
% 14.43/5.40 % (3195749)------------------------------
% 14.43/5.40 % (3195749)------------------------------
% 14.43/5.40 % (3195754)lrs+10_64_to=lpo:sil=8000:random_seed=1209318374:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 14.43/5.40 % (3195750)------------------------------
% 14.43/5.40 % (3195750)------------------------------
% 14.43/5.40 % (3195754)Instruction limit reached!
% 14.43/5.40 % (3195754)------------------------------
% 14.43/5.40 % (3195754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.40 % (3195754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.40 % (3195754)CaDiCaL version: 2.1.3
% 14.43/5.40 % (3195754)Termination reason: Instruction limit
% 14.43/5.40 % (3195754)Termination phase: Saturation
% 14.43/5.40 % (3195754)Time elapsed: 0.128 s
% 14.43/5.40 % (3195754)Peak memory usage: 89 MB
% 14.43/5.40 % (3195754)Instructions burned: 126 (million)
% 14.43/5.40 % (3195751)------------------------------
% 14.43/5.40 % (3195751)------------------------------
% 14.43/5.40 % (3195756)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1958911684:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 14.43/5.40 % (3195756)Instruction limit reached!
% 14.43/5.40 % (3195756)------------------------------
% 14.43/5.40 % (3195756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.40 % (3195756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.40 % (3195756)CaDiCaL version: 2.1.3
% 14.43/5.40 % (3195756)Termination reason: Instruction limit
% 14.43/5.40 % (3195756)Termination phase: Saturation
% 14.43/5.40 % (3195756)Time elapsed: 0.103 s
% 14.43/5.40 % (3195756)Peak memory usage: 90 MB
% 14.43/5.40 % (3195756)Instructions burned: 195 (million)
% 14.43/5.40 % (3195758)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2997808125:i=157:gtg=all_2989 on theBenchmark for (2989ds/157Mi)
% 14.43/5.40 % (3195759)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3687905458:i=3394:sd=4:ss=included:sgt=64_2988 on theBenchmark for (2988ds/3394Mi)
% 14.43/5.40 % (3195761)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=207325689:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 14.43/5.40 % (3195762)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=690901928:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 14.43/5.40 % (3195762)Refutation not found, incomplete strategy
% 14.43/5.40 % (3195762)------------------------------
% 14.43/5.40 % (3195762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.40 % (3195762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.40 % (3195762)CaDiCaL version: 2.1.3
% 14.43/5.40 % (3195762)Termination reason: Refutation not found, incomplete strategy
% 14.43/5.40 % (3195762)Time elapsed: 0.001 s
% 14.43/5.40 % (3195762)Peak memory usage: 88 MB
% 14.43/5.40 % (3195761)Instruction limit reached!
% 14.43/5.40 % (3195761)------------------------------
% 14.43/5.40 % (3195761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.40 % (3195761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.40 % (3195761)CaDiCaL version: 2.1.3
% 14.43/5.40 % (3195761)Termination reason: Instruction limit
% 14.43/5.40 % (3195761)Termination phase: Saturation
% 14.43/5.40 % (3195761)Time elapsed: 0.102 s
% 14.43/5.40 % (3195761)Peak memory usage: 88 MB
% 14.43/5.40 % (3195761)Instructions burned: 106 (million)
% 14.43/5.40 % (3195758)Instruction limit reached!
% 14.43/5.40 % (3195758)------------------------------
% 14.43/5.40 % (3195758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.40 % (3195758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.40 % (3195758)CaDiCaL version: 2.1.3
% 14.43/5.40 % (3195758)Termination reason: Instruction limit
% 14.43/5.40 % (3195758)Termination phase: Saturation
% 14.43/5.40 % (3195758)Time elapsed: 0.157 s
% 14.43/5.40 % (3195758)Peak memory usage: 91 MB
% 14.43/5.40 % (3195758)Instructions burned: 157 (million)
% 14.43/5.40 % (3195762)------------------------------
% 14.43/5.40 % (3195762)------------------------------
% 14.43/5.40 % (3195767)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=710307164:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2984 on theBenchmark for (2984ds/242Mi)
% 14.43/5.40 % (3195768)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1384835951:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 14.43/5.40 % (3195769)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=764705698:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 14.43/5.40 % (3195767)Instruction limit reached!
% 14.43/5.40 % (3195767)------------------------------
% 14.43/5.40 % (3195767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.40 % (3195767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.40 % (3195767)CaDiCaL version: 2.1.3
% 14.43/5.41 % (3195767)Termination reason: Instruction limit
% 14.43/5.41 % (3195767)Termination phase: Saturation
% 14.43/5.41 % (3195767)Time elapsed: 0.214 s
% 14.43/5.41 % (3195767)Peak memory usage: 90 MB
% 14.43/5.41 % (3195767)Instructions burned: 244 (million)
% 14.43/5.41 % (3195769)Instruction limit reached!
% 14.43/5.41 % (3195769)------------------------------
% 14.43/5.41 % (3195769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.41 % (3195769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.41 % (3195769)CaDiCaL version: 2.1.3
% 14.43/5.41 % (3195769)Termination reason: Instruction limit
% 14.43/5.41 % (3195769)Termination phase: Saturation
% 14.43/5.41 % (3195769)Time elapsed: 0.066 s
% 14.43/5.41 % (3195769)Peak memory usage: 89 MB
% 14.43/5.41 % (3195769)Instructions burned: 136 (million)
% 14.43/5.41 % (3195773)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1217922564:i=499:bd=all_2979 on theBenchmark for (2979ds/499Mi)
% 14.43/5.41 % (3195774)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2114233072:i=191:fgj=on:bd=all_2979 on theBenchmark for (2979ds/191Mi)
% 14.43/5.41 % (3195774)Instruction limit reached!
% 14.43/5.41 % (3195774)------------------------------
% 14.43/5.41 % (3195774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.41 % (3195774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.41 % (3195774)CaDiCaL version: 2.1.3
% 14.43/5.41 % (3195774)Termination reason: Instruction limit
% 14.43/5.41 % (3195774)Termination phase: Saturation
% 14.43/5.41 % (3195774)Time elapsed: 0.105 s
% 14.43/5.41 % (3195774)Peak memory usage: 92 MB
% 14.43/5.41 % (3195774)Instructions burned: 192 (million)
% 14.43/5.41 % (3195777)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=823429728:i=264:kws=precedence:fsr=off_2976 on theBenchmark for (2976ds/264Mi)
% 14.43/5.41 % (3195773)Instruction limit reached!
% 14.43/5.41 % (3195773)------------------------------
% 14.43/5.41 % (3195773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.41 % (3195773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.41 % (3195773)CaDiCaL version: 2.1.3
% 14.43/5.41 % (3195773)Termination reason: Instruction limit
% 14.43/5.41 % (3195773)Termination phase: Saturation
% 14.43/5.41 % (3195773)Time elapsed: 0.482 s
% 14.43/5.41 % (3195773)Peak memory usage: 94 MB
% 14.43/5.41 % (3195773)Instructions burned: 499 (million)
% 14.43/5.41 % (3195777)Instruction limit reached!
% 14.43/5.41 % (3195777)------------------------------
% 14.43/5.41 % (3195777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.41 % (3195777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.41 % (3195777)CaDiCaL version: 2.1.3
% 14.43/5.41 % (3195777)Termination reason: Instruction limit
% 14.43/5.41 % (3195777)Termination phase: Saturation
% 14.43/5.41 % (3195777)Time elapsed: 0.143 s
% 14.43/5.41 % (3195777)Peak memory usage: 93 MB
% 14.43/5.41 % (3195777)Instructions burned: 265 (million)
% 14.43/5.41 % (3195780)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=3406650682:i=3256:kws=precedence:bd=preordered:av=off_2972 on theBenchmark for (2972ds/3256Mi)
% 14.43/5.41 % (3195779)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4164644496:cond=on:i=156:bs=on:gtg=exists_all:er=known_2972 on theBenchmark for (2972ds/156Mi)
% 14.43/5.41 % (3195779)Instruction limit reached!
% 14.43/5.41 % (3195779)------------------------------
% 14.43/5.41 % (3195779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.41 % (3195779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.41 % (3195779)CaDiCaL version: 2.1.3
% 14.43/5.41 % (3195779)Termination reason: Instruction limit
% 14.43/5.41 % (3195779)Termination phase: Saturation
% 14.43/5.41 % (3195779)Time elapsed: 0.157 s
% 14.43/5.41 % (3195779)Peak memory usage: 89 MB
% 14.43/5.41 % (3195779)Instructions burned: 156 (million)
% 14.43/5.41 % (3195783)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3927929893:i=537:av=off:ss=included_2967 on theBenchmark for (2967ds/537Mi)
% 14.43/5.41 % (3195737)First to succeed.
% 14.43/5.41 % (3195737)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3195730"
% 14.43/5.41 % (3195735)Also succeeded, but the first one will report.
% 14.43/5.41 % (3195783)Instruction limit reached!
% 14.43/5.41 % (3195783)------------------------------
% 14.43/5.41 % (3195783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/5.41 % (3195783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/5.41 % (3195783)CaDiCaL version: 2.1.3
% 14.43/5.41 % (3195783)Termination reason: Instruction limit
% 14.43/5.41 % (3195783)Termination phase: Saturation
% 14.43/5.41 % (3195783)Time elapsed: 0.451 s
% 14.43/5.41 % (3195783)Peak memory usage: 92 MB
% 14.43/5.41 % (3195783)Instructions burned: 537 (million)
% 14.43/5.41 % (3195737)Refutation found. Thanks to Tanya!
% 14.43/5.41 % SZS status Unsatisfiable for theBenchmark
% 14.43/5.41 % SZS output start Proof for theBenchmark
% See solution above
% 29.94/5.78 % (3195737)------------------------------
% 29.94/5.78 % (3195737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.94/5.78 % (3195737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.94/5.78 % (3195737)CaDiCaL version: 2.1.3
% 29.94/5.78 % (3195737)Termination reason: Refutation
% 29.94/5.78 % (3195737)Time elapsed: 3.372 s
% 29.94/5.78 % (3195737)Peak memory usage: 149 MB
% 29.94/5.78 % (3195737)Instructions burned: 3267 (million)
% 29.94/5.78 % (3195737)------------------------------
% 29.94/5.78 % (3195737)------------------------------
% 29.94/5.78 % (3195730)Success in time 4.099 s
% 29.94/5.78 % Vampire exiting
%------------------------------------------------------------------------------