%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL028+1 : TPTP v9.3.1. Released v9.1.0.
% 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 11:50:58 AM UTC 2026
% Result : Theorem 104.63s 15.88s
% Output : Refutation 105.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 5
% Syntax : Number of formulae : 152 ( 55 unt; 0 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 242 ( 123 ~; 117 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 475 ( 475 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_2) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_5) ).
fof(f4,axiom,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_6) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(c,falsehood)),e),falsehood),implies(implies(falsehood,a),implies(c,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_CAMeredith) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(c,falsehood)),e),falsehood),implies(implies(falsehood,a),implies(c,a)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(c,falsehood)),e),falsehood),implies(implies(falsehood,a),implies(c,a)))),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(c,falsehood)),e),falsehood),implies(implies(falsehood,a),implies(c,a)))),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f13,f14]) ).
fof(f16,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f11,f14]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f16,f14]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1)))
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))) ),
inference(resolution,[],[f17,f11]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f15,f17]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f28,f13]) ).
fof(f34,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f29,f11]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f29,f16]) ).
fof(f36,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f29,f13]) ).
fof(f37,plain,
! [X0] : is_a_theorem(implies(falsehood,X0)),
inference(resolution,[],[f29,f12]) ).
fof(f39,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f35,f13]) ).
fof(f40,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[],[f35,f11]) ).
fof(f43,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f35,f15]) ).
fof(f45,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f34,f35]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f34,f17]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X3,X0),implies(X3,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f34,f28]) ).
fof(f48,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f34,f14]) ).
fof(f51,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(falsehood,X1))),
inference(resolution,[],[f37,f35]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f45,f17]) ).
fof(f65,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f45,f14]) ).
fof(f71,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f39,f19]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f39,f28]) ).
fof(f97,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X2,implies(implies(X2,X0),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f48,f35]) ).
fof(f102,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f36,f35]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,implies(X3,X0)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f36,f28]) ).
fof(f106,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),
inference(resolution,[],[f102,f19]) ).
fof(f114,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f106,f29]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X0),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f106,f14]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
| is_a_theorem(implies(implies(implies(X0,X1),X2),X2)) ),
inference(resolution,[],[f114,f17]) ).
fof(f181,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),X2)),
inference(resolution,[],[f122,f51]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X0),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f104,f48]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(falsehood,X2)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f181,f14]) ).
fof(f347,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1))),
inference(resolution,[],[f63,f51]) ).
fof(f356,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,falsehood),X0))
| is_a_theorem(implies(implies(X0,falsehood),X1)) ),
inference(resolution,[],[f347,f17]) ).
fof(f364,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),falsehood),X1)),
inference(resolution,[],[f356,f39]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X3)))
| ~ is_a_theorem(implies(implies(X2,X1),X3)) ),
inference(resolution,[],[f47,f48]) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),implies(implies(X2,X1),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X3))) ),
inference(resolution,[],[f47,f16]) ).
fof(f498,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X2,implies(X0,X1)),implies(X2,X1)))),
inference(resolution,[],[f460,f11]) ).
fof(f501,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f460,f40]) ).
fof(f525,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f501,f14]) ).
fof(f558,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X1,X2),X1),implies(X0,X2)))),
inference(resolution,[],[f498,f35]) ).
fof(f613,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(X1,X2)))),
inference(resolution,[],[f190,f106]) ).
fof(f670,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(falsehood,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f313,f16]) ).
fof(f1297,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(X0,implies(X2,X3)))),
inference(resolution,[],[f613,f525]) ).
fof(f1328,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1297,f14]) ).
fof(f1341,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f1328,f501]) ).
fof(f1342,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f1328,f558]) ).
fof(f1360,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1328,f65]) ).
fof(f1398,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1341,f14]) ).
fof(f1400,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f1342,f76]) ).
fof(f1505,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f1360,f48]) ).
fof(f1632,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f1400,f46]) ).
fof(f1660,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(resolution,[],[f1400,f1398]) ).
fof(f1827,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1505,f47]) ).
fof(f1884,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X3))
| is_a_theorem(implies(X0,implies(X2,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1827,f14]) ).
fof(f1885,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,falsehood),falsehood)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1884,f12]) ).
fof(f1931,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X2,X4)))))
| ~ is_a_theorem(implies(X0,implies(X2,implies(X3,X4)))) ),
inference(resolution,[],[f1884,f11]) ).
fof(f1964,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,falsehood),implies(X1,X2)))
| ~ is_a_theorem(implies(implies(X2,falsehood),X0)) ),
inference(resolution,[],[f1885,f65]) ).
fof(f2014,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[],[f1931,f670]) ).
fof(f2084,plain,
~ is_a_theorem(implies(implies(implies(c,a),falsehood),implies(implies(implies(a,b),implies(c,falsehood)),e))),
inference(resolution,[],[f1964,f10]) ).
fof(f2515,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2014,f118]) ).
fof(f2527,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f2014,f14]) ).
fof(f2546,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X0,X1),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f2515,f48]) ).
fof(f2556,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X1),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X3))) ),
inference(resolution,[],[f2515,f459]) ).
fof(f2939,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2527,f11]) ).
fof(f2999,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(falsehood,falsehood)))
| is_a_theorem(implies(implies(implies(X0,falsehood),X0),implies(X1,X0))) ),
inference(resolution,[],[f2939,f1885]) ).
fof(f3005,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,falsehood),X0),implies(X1,X0))),
inference(forward_subsumption_resolution,[],[f2999,f39]) ).
fof(f3034,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,falsehood),X1)),implies(X0,X1))),
inference(resolution,[],[f3005,f2546]) ).
fof(f3107,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,falsehood),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3034,f14]) ).
fof(f3141,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,falsehood),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f3107,f65]) ).
fof(f3174,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f3141,f347]) ).
fof(f3231,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3174,f1884]) ).
fof(f3672,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f3231,f45]) ).
fof(f3681,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),falsehood),implies(X2,X0))),
inference(resolution,[],[f3231,f347]) ).
fof(f3716,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2)))),
inference(resolution,[],[f3672,f2556]) ).
fof(f3778,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,implies(X2,X0)),implies(X2,X1)))),
inference(resolution,[],[f3716,f47]) ).
fof(f4339,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f3778,f35]) ).
fof(f4396,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f4339,f14]) ).
fof(f4421,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,falsehood),X1)))
| ~ is_a_theorem(implies(implies(X0,falsehood),X2)) ),
inference(resolution,[],[f4396,f1964]) ).
fof(f4605,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(implies(X0,falsehood),X1)) ),
inference(resolution,[],[f4421,f3231]) ).
fof(f4750,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(X2,X1)))
| ~ is_a_theorem(implies(implies(X0,falsehood),X1)) ),
inference(resolution,[],[f4605,f2546]) ).
fof(f10237,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(implies(X0,falsehood),X1)) ),
inference(resolution,[],[f4750,f190]) ).
fof(f10281,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),implies(X3,X1))))
| ~ is_a_theorem(implies(implies(X0,falsehood),X1)) ),
inference(resolution,[],[f10237,f2556]) ).
fof(f10595,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(X3,X1)))
| ~ is_a_theorem(implies(implies(X0,falsehood),X1))
| ~ is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f10281,f14]) ).
fof(f10732,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,falsehood),X1))
| ~ is_a_theorem(implies(X2,X1))
| is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f10595,f14]) ).
fof(f10769,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f10732,f364]) ).
fof(f10893,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X1))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,implies(X2,X3))) ),
inference(resolution,[],[f10769,f16]) ).
fof(f10997,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,implies(implies(X3,X1),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f10893,f106]) ).
fof(f11506,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,implies(X1,X3))))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[],[f10997,f1931]) ).
fof(f11539,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f11506,f97]) ).
fof(f11720,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X1),implies(X3,implies(implies(X1,X0),X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f11539,f525]) ).
fof(f11819,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X3))
| is_a_theorem(implies(implies(X3,X1),implies(implies(X1,X0),X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f11720,f17]) ).
fof(f11864,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f11819,f39]) ).
fof(f11975,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X3,X3),X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f11864,f1328]) ).
fof(f12305,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),X1))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f11975,f14]) ).
fof(f12319,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X3),X1)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,implies(X2,X3))) ),
inference(resolution,[],[f12305,f16]) ).
fof(f12547,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[],[f12319,f11]) ).
fof(f12598,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X2,implies(X0,X1))))
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X1))) ),
inference(resolution,[],[f12319,f498]) ).
fof(f12657,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X0,X2)))) ),
inference(resolution,[],[f12547,f190]) ).
fof(f12710,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X3,implies(X0,X2)))),
inference(resolution,[],[f12657,f1660]) ).
fof(f13134,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(implies(X1,X2),X2),X3)),implies(X0,implies(X1,X3)))),
inference(resolution,[],[f12710,f2546]) ).
fof(f13328,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X3),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f13134,f14]) ).
fof(f13636,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X1,X2))),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f13328,f4339]) ).
fof(f14584,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(implies(X1,X2),X3))),implies(X2,implies(X0,X3)))),
inference(resolution,[],[f13636,f1328]) ).
fof(f16537,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,implies(implies(X3,X0),X2))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f14584,f2527]) ).
fof(f16631,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X3,X0),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f16537,f15]) ).
fof(f16792,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X0,X1))),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f16631,f501]) ).
fof(f16902,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,implies(X3,X1))))),
inference(resolution,[],[f16792,f190]) ).
fof(f17388,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,implies(X3,X2))))),
inference(resolution,[],[f16902,f2556]) ).
fof(f17616,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(resolution,[],[f17388,f14]) ).
fof(f17727,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f17616,f14]) ).
fof(f17748,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X3)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(resolution,[],[f17727,f48]) ).
fof(f18137,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X3),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f17748,f1660]) ).
fof(f18244,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X3))))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(resolution,[],[f18137,f48]) ).
fof(f18427,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X0),X1),X4))
| is_a_theorem(implies(X2,implies(X3,X4)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f18244,f17748]) ).
fof(f18550,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f18427,f1632]) ).
fof(f18757,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X2,X1),X4))
| is_a_theorem(implies(implies(X2,X0),implies(X3,X4)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f18550,f17748]) ).
fof(f19032,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(resolution,[],[f18757,f71]) ).
fof(f19257,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X1,X2),X4))
| is_a_theorem(implies(implies(X1,X0),implies(X3,X4)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f19032,f17748]) ).
fof(f19528,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(implies(X4,X0),X3))))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) ),
inference(resolution,[],[f19257,f106]) ).
fof(f19534,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,implies(X0,X3)))) ),
inference(resolution,[],[f19257,f71]) ).
fof(f19667,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X0),implies(implies(X1,X3),implies(X1,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2)))) ),
inference(resolution,[],[f19534,f2556]) ).
fof(f19741,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X0),X2)))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2)))) ),
inference(resolution,[],[f19534,f12598]) ).
fof(f19921,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(implies(X3,X0),implies(X3,implies(X1,X2)))) ),
inference(resolution,[],[f19667,f1328]) ).
fof(f19955,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(implies(X2,X1),X3))),implies(X0,implies(X1,X3)))),
inference(resolution,[],[f19921,f1297]) ).
fof(f20155,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X1,implies(X3,implies(implies(X1,X0),X2))))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2)))) ),
inference(resolution,[],[f19741,f190]) ).
fof(f20441,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(implies(X3,X1),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f19955,f14]) ).
fof(f20571,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X0,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f20441,f20155]) ).
fof(f20845,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),implies(implies(X0,X1),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X3))) ),
inference(resolution,[],[f20571,f459]) ).
fof(f21074,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,falsehood),X0))),
inference(resolution,[],[f20845,f3681]) ).
fof(f21213,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0))),
inference(resolution,[],[f21074,f13328]) ).
fof(f22749,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X3))))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) ),
inference(resolution,[],[f19528,f20155]) ).
fof(f23004,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X3))) ),
inference(resolution,[],[f22749,f43]) ).
fof(f23261,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X3),implies(implies(X3,X1),implies(X0,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f23004,f20845]) ).
fof(f26922,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X3)) ),
inference(resolution,[],[f23261,f14]) ).
fof(f29732,plain,
( ~ is_a_theorem(implies(implies(implies(a,b),implies(c,falsehood)),implies(falsehood,e)))
| ~ is_a_theorem(implies(implies(implies(a,b),implies(c,falsehood)),implies(c,a))) ),
inference(resolution,[],[f26922,f2084]) ).
fof(f29985,plain,
~ is_a_theorem(implies(implies(implies(a,b),implies(c,falsehood)),implies(c,a))),
inference(forward_subsumption_resolution,[],[f29732,f51]) ).
fof(f29994,plain,
$false,
inference(forward_subsumption_resolution,[],[f29985,f21213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL028+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n012.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 15:17:34 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 13.66/3.01 % (2495183)Detected formulas, will run a generic FOF schedule.
% 13.66/3.01 % (2495188)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=3207565648:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.66/3.01 % (2495192)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1705449120:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.66/3.01 % (2495189)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2054043721:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.66/3.01 % (2495191)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2300722004:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.66/3.01 % (2495190)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=691981282:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.66/3.01 % (2495191)Refutation not found, incomplete strategy
% 13.66/3.01 % (2495191)------------------------------
% 13.66/3.01 % (2495191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.66/3.01 % (2495191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.66/3.01 % (2495191)CaDiCaL version: 2.1.3
% 13.66/3.01 % (2495191)Termination reason: Refutation not found, incomplete strategy
% 13.66/3.01 % (2495191)Time elapsed: 0.001 s
% 13.66/3.01 % (2495191)Peak memory usage: 87 MB
% 13.66/3.01 % (2495193)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1002750884:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.66/3.01 % (2495194)dis-21_1_sil=8000:lcm=predicate:random_seed=2431149450:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.66/3.01 % (2495192)Instruction limit reached!
% 13.66/3.01 % (2495192)------------------------------
% 13.66/3.01 % (2495192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.66/3.01 % (2495192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.66/3.01 % (2495192)CaDiCaL version: 2.1.3
% 13.66/3.01 % (2495192)Termination reason: Instruction limit
% 13.66/3.01 % (2495192)Termination phase: Saturation
% 13.66/3.01 % (2495192)Time elapsed: 0.058 s
% 13.66/3.01 % (2495192)Peak memory usage: 87 MB
% 13.66/3.01 % (2495192)Instructions burned: 120 (million)
% 13.66/3.01 % (2495193)Instruction limit reached!
% 13.66/3.01 % (2495193)------------------------------
% 13.66/3.01 % (2495193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.66/3.01 % (2495193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.66/3.01 % (2495193)CaDiCaL version: 2.1.3
% 13.66/3.01 % (2495193)Termination reason: Instruction limit
% 13.66/3.01 % (2495193)Termination phase: Saturation
% 13.66/3.01 % (2495193)Time elapsed: 0.077 s
% 13.66/3.01 % (2495193)Peak memory usage: 89 MB
% 13.66/3.01 % (2495193)Instructions burned: 140 (million)
% 13.66/3.01 % (2495194)Instruction limit reached!
% 13.66/3.01 % (2495194)------------------------------
% 13.66/3.01 % (2495194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.66/3.01 % (2495194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.66/3.01 % (2495194)CaDiCaL version: 2.1.3
% 13.66/3.01 % (2495194)Termination reason: Instruction limit
% 13.66/3.01 % (2495194)Termination phase: Saturation
% 13.66/3.01 % (2495194)Time elapsed: 0.066 s
% 13.66/3.01 % (2495194)Peak memory usage: 89 MB
% 13.66/3.01 % (2495194)Instructions burned: 129 (million)
% 13.66/3.01 % (2495191)------------------------------
% 13.66/3.01 % (2495191)------------------------------
% 13.66/3.01 % (2495202)lrs+10_1_sil=8000:sp=occurrence:random_seed=108341923:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.66/3.01 % (2495203)lrs+10_1_sil=32000:urr=on:br=off:random_seed=807862251:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.66/3.01 % (2495204)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2746630923:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.66/3.01 % (2495203)Instruction limit reached!
% 13.66/3.01 % (2495203)------------------------------
% 13.66/3.01 % (2495203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.66/3.01 % (2495203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.06 % (2495203)CaDiCaL version: 2.1.3
% 22.83/4.06 % (2495203)Termination reason: Instruction limit
% 22.83/4.06 % (2495203)Termination phase: Saturation
% 22.83/4.06 % (2495203)Time elapsed: 0.073 s
% 22.83/4.06 % (2495203)Peak memory usage: 89 MB
% 22.83/4.06 % (2495203)Instructions burned: 158 (million)
% 22.83/4.06 % (2495202)Instruction limit reached!
% 22.83/4.06 % (2495202)------------------------------
% 22.83/4.06 % (2495202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.83/4.06 % (2495202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.06 % (2495202)CaDiCaL version: 2.1.3
% 22.83/4.06 % (2495202)Termination reason: Instruction limit
% 22.83/4.06 % (2495202)Termination phase: Saturation
% 22.83/4.06 % (2495202)Time elapsed: 0.153 s
% 22.83/4.06 % (2495202)Peak memory usage: 91 MB
% 22.83/4.06 % (2495202)Instructions burned: 286 (million)
% 22.83/4.06 % (2495205)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1260071763:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 22.83/4.06 % (2495204)Instruction limit reached!
% 22.83/4.06 % (2495204)------------------------------
% 22.83/4.06 % (2495204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.83/4.06 % (2495204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.06 % (2495204)CaDiCaL version: 2.1.3
% 22.83/4.06 % (2495204)Termination reason: Instruction limit
% 22.83/4.06 % (2495204)Termination phase: Saturation
% 22.83/4.06 % (2495204)Time elapsed: 0.180 s
% 22.83/4.06 % (2495204)Peak memory usage: 92 MB
% 22.83/4.06 % (2495204)Instructions burned: 325 (million)
% 22.83/4.06 % (2495205)Instruction limit reached!
% 22.83/4.06 % (2495205)------------------------------
% 22.83/4.06 % (2495205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.83/4.06 % (2495205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.06 % (2495205)CaDiCaL version: 2.1.3
% 22.83/4.06 % (2495205)Termination reason: Instruction limit
% 22.83/4.06 % (2495205)Termination phase: Saturation
% 22.83/4.06 % (2495205)Time elapsed: 0.114 s
% 22.83/4.06 % (2495205)Peak memory usage: 89 MB
% 22.83/4.06 % (2495205)Instructions burned: 249 (million)
% 22.83/4.06 % (2495209)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1319610628:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 22.83/4.06 % (2495209)Refutation not found, incomplete strategy
% 22.83/4.06 % (2495209)------------------------------
% 22.83/4.06 % (2495209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.83/4.06 % (2495209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.06 % (2495209)CaDiCaL version: 2.1.3
% 22.83/4.06 % (2495209)Termination reason: Refutation not found, incomplete strategy
% 22.83/4.06 % (2495209)Time elapsed: 0.001 s
% 22.83/4.06 % (2495209)Peak memory usage: 87 MB
% 22.83/4.06 % (2495210)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2583686623:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 22.83/4.06 % (2495212)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1946434188:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 22.83/4.06 % (2495212)Instruction limit reached!
% 22.83/4.06 % (2495212)------------------------------
% 22.83/4.06 % (2495212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.83/4.06 % (2495212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.06 % (2495212)CaDiCaL version: 2.1.3
% 22.83/4.06 % (2495212)Termination reason: Instruction limit
% 22.83/4.06 % (2495212)Termination phase: Saturation
% 22.83/4.06 % (2495212)Time elapsed: 0.060 s
% 22.83/4.06 % (2495212)Peak memory usage: 89 MB
% 22.83/4.06 % (2495212)Instructions burned: 114 (million)
% 22.83/4.06 % (2495213)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4224188650:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 22.83/4.06 % (2495209)------------------------------
% 22.83/4.06 % (2495209)------------------------------
% 22.83/4.06 % (2495213)Instruction limit reached!
% 22.83/4.06 % (2495213)------------------------------
% 22.83/4.06 % (2495213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.83/4.06 % (2495213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.06 % (2495213)CaDiCaL version: 2.1.3
% 61.27/9.52 % (2495213)Termination reason: Instruction limit
% 61.27/9.52 % (2495213)Termination phase: Saturation
% 61.27/9.52 % (2495213)Time elapsed: 0.061 s
% 61.27/9.52 % (2495213)Peak memory usage: 88 MB
% 61.27/9.52 % (2495213)Instructions burned: 127 (million)
% 61.27/9.52 % (2495218)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1392570555:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 61.27/9.52 % (2495219)lrs+10_1_sil=8000:sp=occurrence:random_seed=2750157181:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 61.27/9.52 % (2495218)Instruction limit reached!
% 61.27/9.52 % (2495218)------------------------------
% 61.27/9.52 % (2495218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.27/9.52 % (2495218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.27/9.52 % (2495218)CaDiCaL version: 2.1.3
% 61.27/9.52 % (2495218)Termination reason: Instruction limit
% 61.27/9.52 % (2495218)Termination phase: Saturation
% 61.27/9.52 % (2495218)Time elapsed: 0.063 s
% 61.27/9.52 % (2495218)Peak memory usage: 89 MB
% 61.27/9.52 % (2495218)Instructions burned: 114 (million)
% 61.27/9.52 % (2495220)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1978380095:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 61.27/9.52 % (2495220)Refutation not found, incomplete strategy
% 61.27/9.52 % (2495220)------------------------------
% 61.27/9.52 % (2495220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.27/9.52 % (2495220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.27/9.52 % (2495220)CaDiCaL version: 2.1.3
% 61.27/9.52 % (2495220)Termination reason: Refutation not found, incomplete strategy
% 61.27/9.52 % (2495220)Time elapsed: 0.001 s
% 61.27/9.52 % (2495220)Peak memory usage: 88 MB
% 61.27/9.52 % (2495223)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2689084844:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 61.27/9.52 % (2495220)------------------------------
% 61.27/9.52 % (2495220)------------------------------
% 61.27/9.52 % (2495226)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=642609746:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 61.27/9.52 % (2495219)Instruction limit reached!
% 61.27/9.52 % (2495219)------------------------------
% 61.27/9.52 % (2495219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.27/9.52 % (2495219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.27/9.52 % (2495219)CaDiCaL version: 2.1.3
% 61.27/9.52 % (2495219)Termination reason: Instruction limit
% 61.27/9.52 % (2495219)Termination phase: Saturation
% 61.27/9.52 % (2495219)Time elapsed: 0.485 s
% 61.27/9.52 % (2495219)Peak memory usage: 95 MB
% 61.27/9.52 % (2495219)Instructions burned: 908 (million)
% 61.27/9.52 % (2495226)Instruction limit reached!
% 61.27/9.52 % (2495226)------------------------------
% 61.27/9.52 % (2495226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.27/9.52 % (2495226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.27/9.52 % (2495226)CaDiCaL version: 2.1.3
% 61.27/9.52 % (2495226)Termination reason: Instruction limit
% 61.27/9.52 % (2495226)Termination phase: Saturation
% 61.27/9.52 % (2495226)Time elapsed: 0.062 s
% 61.27/9.52 % (2495226)Peak memory usage: 89 MB
% 61.27/9.52 % (2495226)Instructions burned: 134 (million)
% 61.27/9.52 % (2495228)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=126954322:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 61.27/9.52 % (2495228)Refutation not found, incomplete strategy
% 61.27/9.52 % (2495228)------------------------------
% 61.27/9.52 % (2495228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.27/9.52 % (2495228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.27/9.52 % (2495228)CaDiCaL version: 2.1.3
% 61.27/9.52 % (2495228)Termination reason: Refutation not found, incomplete strategy
% 61.27/9.52 % (2495228)Time elapsed: 0.029 s
% 61.27/9.52 % (2495228)Peak memory usage: 88 MB
% 61.27/9.52 % (2495229)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=387604117:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 61.27/9.52 % (2495210)Instruction limit reached!
% 61.27/9.52 % (2495210)------------------------------
% 61.27/9.52 % (2495210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.30/12.33 % (2495210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.30/12.33 % (2495210)CaDiCaL version: 2.1.3
% 80.30/12.33 % (2495210)Termination reason: Instruction limit
% 80.30/12.33 % (2495210)Termination phase: Saturation
% 80.30/12.33 % (2495210)Time elapsed: 1.355 s
% 80.30/12.33 % (2495210)Peak memory usage: 142 MB
% 80.30/12.33 % (2495210)Instructions burned: 2350 (million)
% 80.30/12.33 % (2495228)------------------------------
% 80.30/12.33 % (2495228)------------------------------
% 80.30/12.33 % (2495232)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3462986227:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 80.30/12.33 % (2495233)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3078788461:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 80.30/12.33 % (2495232)Instruction limit reached!
% 80.30/12.33 % (2495232)------------------------------
% 80.30/12.33 % (2495232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.30/12.33 % (2495232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.30/12.33 % (2495232)CaDiCaL version: 2.1.3
% 80.30/12.33 % (2495232)Termination reason: Instruction limit
% 80.30/12.33 % (2495232)Termination phase: Saturation
% 80.30/12.33 % (2495232)Time elapsed: 0.069 s
% 80.30/12.33 % (2495232)Peak memory usage: 89 MB
% 80.30/12.33 % (2495232)Instructions burned: 127 (million)
% 80.30/12.33 % (2495233)Instruction limit reached!
% 80.30/12.33 % (2495233)------------------------------
% 80.30/12.33 % (2495233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.30/12.33 % (2495233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.30/12.33 % (2495233)CaDiCaL version: 2.1.3
% 80.30/12.33 % (2495233)Termination reason: Instruction limit
% 80.30/12.33 % (2495233)Termination phase: Saturation
% 80.30/12.33 % (2495233)Time elapsed: 0.072 s
% 80.30/12.33 % (2495233)Peak memory usage: 91 MB
% 80.30/12.33 % (2495233)Instructions burned: 134 (million)
% 80.30/12.33 % (2495236)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2745363098:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 80.30/12.33 % (2495236)Refutation not found, incomplete strategy
% 80.30/12.33 % (2495236)------------------------------
% 80.30/12.33 % (2495236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.30/12.33 % (2495236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.30/12.33 % (2495236)CaDiCaL version: 2.1.3
% 80.30/12.33 % (2495236)Termination reason: Refutation not found, incomplete strategy
% 80.30/12.33 % (2495236)Time elapsed: 0.001 s
% 80.30/12.33 % (2495236)Peak memory usage: 88 MB
% 80.30/12.33 % (2495237)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3901144642:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 80.30/12.33 % (2495237)Instruction limit reached!
% 80.30/12.33 % (2495237)------------------------------
% 80.30/12.33 % (2495237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.30/12.33 % (2495237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.30/12.33 % (2495237)CaDiCaL version: 2.1.3
% 80.30/12.33 % (2495237)Termination reason: Instruction limit
% 80.30/12.33 % (2495237)Termination phase: Saturation
% 80.30/12.33 % (2495237)Time elapsed: 0.207 s
% 80.30/12.33 % (2495237)Peak memory usage: 92 MB
% 80.30/12.33 % (2495237)Instructions burned: 431 (million)
% 80.30/12.33 % (2495236)------------------------------
% 80.30/12.33 % (2495236)------------------------------
% 80.30/12.33 % (2495241)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2500108157:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 80.30/12.33 % (2495240)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=544414828:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 80.30/12.33 % (2495241)Instruction limit reached!
% 80.30/12.33 % (2495241)------------------------------
% 80.30/12.33 % (2495241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.30/12.33 % (2495241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.13/15.46 % (2495241)CaDiCaL version: 2.1.3
% 102.13/15.46 % (2495241)Termination reason: Instruction limit
% 102.13/15.46 % (2495241)Termination phase: Saturation
% 102.13/15.46 % (2495241)Time elapsed: 0.081 s
% 102.13/15.46 % (2495241)Peak memory usage: 91 MB
% 102.13/15.46 % (2495241)Instructions burned: 151 (million)
% 102.13/15.46 % (2495244)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1751434609:i=14155:bd=all_2967 on theBenchmark for (2967ds/14155Mi)
% 102.13/15.46 % (2495223)Instruction limit reached!
% 102.13/15.46 % (2495223)------------------------------
% 102.13/15.46 % (2495223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.13/15.46 % (2495223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.13/15.46 % (2495223)CaDiCaL version: 2.1.3
% 102.13/15.46 % (2495223)Termination reason: Instruction limit
% 102.13/15.46 % (2495223)Termination phase: Saturation
% 102.13/15.46 % (2495223)Time elapsed: 2.969 s
% 102.13/15.46 % (2495223)Peak memory usage: 150 MB
% 102.13/15.46 % (2495223)Instructions burned: 5203 (million)
% 102.13/15.46 % (2495246)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=129607974:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 102.13/15.46 % (2495246)Refutation not found, incomplete strategy
% 102.13/15.46 % (2495246)------------------------------
% 102.13/15.46 % (2495246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.13/15.46 % (2495246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.13/15.46 % (2495246)CaDiCaL version: 2.1.3
% 102.13/15.46 % (2495246)Termination reason: Refutation not found, incomplete strategy
% 102.13/15.46 % (2495246)Time elapsed: 0.001 s
% 102.13/15.46 % (2495246)Peak memory usage: 87 MB
% 102.13/15.46 % (2495246)------------------------------
% 102.13/15.46 % (2495246)------------------------------
% 102.13/15.46 % (2495248)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2524711323:s2a=on:i=185:s2at=1.8:fdi=4_2950 on theBenchmark for (2950ds/185Mi)
% 102.13/15.46 % (2495248)Instruction limit reached!
% 102.13/15.46 % (2495248)------------------------------
% 102.13/15.46 % (2495248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.13/15.46 % (2495248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.13/15.46 % (2495248)CaDiCaL version: 2.1.3
% 102.13/15.46 % (2495248)Termination reason: Instruction limit
% 102.13/15.46 % (2495248)Termination phase: Saturation
% 102.13/15.46 % (2495248)Time elapsed: 0.088 s
% 102.13/15.46 % (2495248)Peak memory usage: 90 MB
% 102.13/15.46 % (2495248)Instructions burned: 187 (million)
% 102.13/15.46 % (2495250)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1615407853:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2947 on theBenchmark for (2947ds/193Mi)
% 102.13/15.46 % (2495250)Instruction limit reached!
% 102.13/15.46 % (2495250)------------------------------
% 102.13/15.46 % (2495250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.13/15.46 % (2495250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.13/15.46 % (2495250)CaDiCaL version: 2.1.3
% 102.13/15.46 % (2495250)Termination reason: Instruction limit
% 102.13/15.46 % (2495250)Termination phase: Saturation
% 102.13/15.46 % (2495250)Time elapsed: 0.103 s
% 102.13/15.46 % (2495250)Peak memory usage: 92 MB
% 102.13/15.46 % (2495250)Instructions burned: 195 (million)
% 102.13/15.46 % (2495252)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2042018267:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2943 on theBenchmark for (2943ds/4850Mi)
% 102.13/15.46 % (2495240)Instruction limit reached!
% 102.13/15.46 % (2495240)------------------------------
% 102.13/15.46 % (2495240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.13/15.46 % (2495240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.13/15.46 % (2495240)CaDiCaL version: 2.1.3
% 102.13/15.46 % (2495240)Termination reason: Instruction limit
% 102.13/15.46 % (2495240)Termination phase: Saturation
% 102.13/15.46 % (2495240)Time elapsed: 3.025 s
% 102.13/15.46 % (2495240)Peak memory usage: 152 MB
% 102.13/15.46 % (2495240)Instructions burned: 6060 (million)
% 102.13/15.46 % (2495254)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2459811690:i=12111:sd=1:ss=included_2937 on theBenchmark for (2937ds/12111Mi)
% 102.13/15.46 % (2495252)Instruction limit reached!
% 102.13/15.46 % (2495252)------------------------------
% 104.63/15.88 % (2495252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495252)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495252)Termination reason: Instruction limit
% 104.63/15.88 % (2495252)Termination phase: Saturation
% 104.63/15.88 % (2495252)Time elapsed: 2.876 s
% 104.63/15.88 % (2495252)Peak memory usage: 134 MB
% 104.63/15.88 % (2495252)Instructions burned: 4852 (million)
% 104.63/15.88 % (2495256)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2512473415:i=319:kws=precedence:fsr=off_2912 on theBenchmark for (2912ds/319Mi)
% 104.63/15.88 % (2495256)Instruction limit reached!
% 104.63/15.88 % (2495256)------------------------------
% 104.63/15.88 % (2495256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495256)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495256)Termination reason: Instruction limit
% 104.63/15.88 % (2495256)Termination phase: Saturation
% 104.63/15.88 % (2495256)Time elapsed: 0.187 s
% 104.63/15.88 % (2495256)Peak memory usage: 92 MB
% 104.63/15.88 % (2495256)Instructions burned: 320 (million)
% 104.63/15.88 % (2495229)Instruction limit reached!
% 104.63/15.88 % (2495229)------------------------------
% 104.63/15.88 % (2495229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495229)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495229)Termination reason: Instruction limit
% 104.63/15.88 % (2495229)Termination phase: Saturation
% 104.63/15.88 % (2495229)Time elapsed: 7.367 s
% 104.63/15.88 % (2495229)Peak memory usage: 231 MB
% 104.63/15.88 % (2495229)Instructions burned: 13194 (million)
% 104.63/15.88 % (2495258)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=263071419:i=2064:ep=RST_2908 on theBenchmark for (2908ds/2064Mi)
% 104.63/15.88 % (2495258)Refutation not found, incomplete strategy
% 104.63/15.88 % (2495258)------------------------------
% 104.63/15.88 % (2495258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495258)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495258)Termination reason: Refutation not found, incomplete strategy
% 104.63/15.88 % (2495258)Time elapsed: 0.001 s
% 104.63/15.88 % (2495258)Peak memory usage: 88 MB
% 104.63/15.88 % (2495258)------------------------------
% 104.63/15.88 % (2495258)------------------------------
% 104.63/15.88 % (2495260)dis-1011_128_sil=32000:random_seed=2242119970:i=3706:ep=RST:av=off_2905 on theBenchmark for (2905ds/3706Mi)
% 104.63/15.88 % (2495262)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=121628513:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2903 on theBenchmark for (2903ds/757Mi)
% 104.63/15.88 % (2495262)Refutation not found, incomplete strategy
% 104.63/15.88 % (2495262)------------------------------
% 104.63/15.88 % (2495262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495262)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495262)Termination reason: Refutation not found, incomplete strategy
% 104.63/15.88 % (2495262)Time elapsed: 0.001 s
% 104.63/15.88 % (2495262)Peak memory usage: 88 MB
% 104.63/15.88 % (2495262)------------------------------
% 104.63/15.88 % (2495262)------------------------------
% 104.63/15.88 % (2495244)Instruction limit reached!
% 104.63/15.88 % (2495244)------------------------------
% 104.63/15.88 % (2495244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495244)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495244)Termination reason: Instruction limit
% 104.63/15.88 % (2495244)Termination phase: Saturation
% 104.63/15.88 % (2495244)Time elapsed: 7.253 s
% 104.63/15.88 % (2495244)Peak memory usage: 273 MB
% 104.63/15.88 % (2495244)Instructions burned: 14378 (million)
% 104.63/15.88 % (2495264)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1623941850:i=13913:ss=axioms:sgt=8_2898 on theBenchmark for (2898ds/13913Mi)
% 104.63/15.88 % (2495265)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2042882654:i=9925:aac=none_2892 on theBenchmark for (2892ds/9925Mi)
% 104.63/15.88 % (2495260)Instruction limit reached!
% 104.63/15.88 % (2495260)------------------------------
% 104.63/15.88 % (2495260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495260)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495260)Termination reason: Instruction limit
% 104.63/15.88 % (2495260)Termination phase: Saturation
% 104.63/15.88 % (2495260)Time elapsed: 1.886 s
% 104.63/15.88 % (2495260)Peak memory usage: 113 MB
% 104.63/15.88 % (2495260)Instructions burned: 3706 (million)
% 104.63/15.88 % (2495268)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1623238225:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2884 on theBenchmark for (2884ds/2479Mi)
% 104.63/15.88 % (2495268)Refutation not found, incomplete strategy
% 104.63/15.88 % (2495268)------------------------------
% 104.63/15.88 % (2495268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495268)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495268)Termination reason: Refutation not found, incomplete strategy
% 104.63/15.88 % (2495268)Time elapsed: 0.001 s
% 104.63/15.88 % (2495268)Peak memory usage: 88 MB
% 104.63/15.88 % (2495268)------------------------------
% 104.63/15.88 % (2495268)------------------------------
% 104.63/15.88 % (2495270)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2871809139:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2880 on theBenchmark for (2880ds/440Mi)
% 104.63/15.88 % (2495270)Instruction limit reached!
% 104.63/15.88 % (2495270)------------------------------
% 104.63/15.88 % (2495270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495270)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495270)Termination reason: Instruction limit
% 104.63/15.88 % (2495270)Termination phase: Saturation
% 104.63/15.88 % (2495270)Time elapsed: 0.210 s
% 104.63/15.88 % (2495270)Peak memory usage: 89 MB
% 104.63/15.88 % (2495270)Instructions burned: 442 (million)
% 104.63/15.88 % (2495254)Instruction limit reached!
% 104.63/15.88 % (2495254)------------------------------
% 104.63/15.88 % (2495254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495254)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495254)Termination reason: Instruction limit
% 104.63/15.88 % (2495254)Termination phase: Saturation
% 104.63/15.88 % (2495254)Time elapsed: 6.022 s
% 104.63/15.88 % (2495254)Peak memory usage: 255 MB
% 104.63/15.88 % (2495254)Instructions burned: 12114 (million)
% 104.63/15.88 % (2495272)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3991851833:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2875 on theBenchmark for (2875ds/11145Mi)
% 104.63/15.88 % (2495273)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2504480708:cts=off:i=3034:av=off:er=known:fsd=on_2875 on theBenchmark for (2875ds/3034Mi)
% 104.63/15.88 % (2495273)Instruction limit reached!
% 104.63/15.88 % (2495273)------------------------------
% 104.63/15.88 % (2495273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495273)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495273)Termination reason: Instruction limit
% 104.63/15.88 % (2495273)Termination phase: Saturation
% 104.63/15.88 % (2495273)Time elapsed: 1.469 s
% 104.63/15.88 % (2495273)Peak memory usage: 143 MB
% 104.63/15.88 % (2495273)Instructions burned: 3035 (million)
% 104.63/15.88 % (2495276)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1245706627:st=2:s2a=on:i=524:s2at=2:ss=axioms_2858 on theBenchmark for (2858ds/524Mi)
% 104.63/15.88 % (2495276)Instruction limit reached!
% 104.63/15.88 % (2495276)------------------------------
% 104.63/15.88 % (2495276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.63/15.88 % (2495276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.63/15.88 % (2495276)CaDiCaL version: 2.1.3
% 104.63/15.88 % (2495276)Termination reason: Instruction limit
% 104.63/15.88 % (2495276)Termination phase: Saturation
% 104.63/15.88 % (2495276)Time elapsed: 0.241 s
% 104.63/15.88 % (2495276)Peak memory usage: 91 MB
% 104.63/15.88 % (2495276)Instructions burned: 524 (million)
% 104.63/15.88 % (2495264)First to succeed.
% 104.63/15.88 % (2495264)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2495183"
% 104.63/15.88 % (2495287)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2968817043:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2853 on theBenchmark for (2853ds/1016Mi)
% 104.63/15.88 % (2495264)Refutation found. Thanks to Tanya!
% 104.63/15.88 % SZS status Theorem for theBenchmark
% 104.63/15.88 % SZS output start Proof for theBenchmark
% See solution above
% 105.52/16.08 % (2495264)------------------------------
% 105.52/16.08 % (2495264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.52/16.08 % (2495264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.52/16.08 % (2495264)CaDiCaL version: 2.1.3
% 105.52/16.08 % (2495264)Termination reason: Refutation
% 105.52/16.08 % (2495264)Time elapsed: 3.750 s
% 105.52/16.08 % (2495264)Peak memory usage: 175 MB
% 105.52/16.08 % (2495264)Instructions burned: 6729 (million)
% 105.52/16.08 % (2495264)------------------------------
% 105.52/16.08 % (2495264)------------------------------
% 105.52/16.08 % (2495183)Success in time 15.08 s
% 105.52/16.08 % Vampire exiting
%------------------------------------------------------------------------------