%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC272+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:14 PM UTC 2026
% Result : Theorem 3.09s 1.08s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 49 ( 7 unt; 0 def)
% Number of atoms : 373 ( 55 equ)
% Maximal formula atoms : 19 ( 7 avg)
% Number of connectives : 535 ( 211 ~; 210 |; 84 &)
% ( 8 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-2 aty)
% Number of variables : 162 ( 129 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ~ ssList(X4)
| app(X2,X4) != X3
| ~ strictorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& lt(X7,X5) ) ) ) ) )
| totalorderedP(X0)
| ( nil != X3
& nil = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ~ ssList(X4)
| app(X2,X4) != X3
| ~ strictorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& lt(X7,X5) ) ) ) ) )
| totalorderedP(X0)
| ( nil != X3
& nil = X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ssList(X4)
& app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2
| ~ lt(X7,X5) ) ) ) ) )
& ~ totalorderedP(X0)
& ( nil = X3
| nil != X2 ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f129,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f130,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f133,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f134,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f133]) ).
fof(f147,plain,
( ssList(sK3)
& sK1 = sK3
& sK0 = sK2
& ssList(sK4)
& sK3 = app(sK2,sK4)
& strictorderedP(sK2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != sK4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK2
| ~ lt(X7,X5) ) ) ) )
& ~ totalorderedP(sK0)
& ( nil = sK3
| nil != sK2 )
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f98]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f152]) ).
fof(f156,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f130]) ).
fof(f157,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK9(X0),sK10(X0))
& app(app(sK11(X0),cons(sK9(X0),sK12(X0))),cons(sK10(X0),sK13(X0))) = X0
& ssList(sK13(X0))
& ssList(sK12(X0))
& ssList(sK11(X0))
& ssItem(sK10(X0))
& ssItem(sK9(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13]),skolemize(X1,sK9(X0)),skolemize(X2,sK10(X0)),skolemize(X3,sK11(X0)),skolemize(X4,sK12(X0)),skolemize(X5,sK13(X0))],[f157]) ).
fof(f161,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f134]) ).
fof(f162,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f161]) ).
fof(f163,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK14(X0),sK15(X0))
& app(app(sK16(X0),cons(sK14(X0),sK17(X0))),cons(sK15(X0),sK18(X0))) = X0
& ssList(sK18(X0))
& ssList(sK17(X0))
& ssList(sK16(X0))
& ssItem(sK15(X0))
& ssItem(sK14(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0)),skolemize(X4,sK17(X0)),skolemize(X5,sK18(X0))],[f162]) ).
fof(f167,plain,
ssList(sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f169,plain,
~ totalorderedP(sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f171,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f174,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f147]) ).
fof(f200,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f216,plain,
! [X0] :
( ssItem(sK9(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f217,plain,
! [X0] :
( ssItem(sK10(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f218,plain,
! [X0] :
( ssList(sK11(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f219,plain,
! [X0] :
( ssList(sK12(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f220,plain,
! [X0] :
( ssList(sK13(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f221,plain,
! [X0] :
( app(app(sK11(X0),cons(sK9(X0),sK12(X0))),cons(sK10(X0),sK13(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f222,plain,
! [X0] :
( ~ leq(sK9(X0),sK10(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f230,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f246,plain,
~ totalorderedP(sK2),
inference(definition_unfolding,[],[f169,f174]) ).
fof(f257,plain,
! [X10,X8,X6,X9,X7] :
( ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f230]) ).
fof(f269,plain,
! [X0] :
( ~ lt(sK9(X0),sK10(X0))
| ~ ssItem(sK10(X0))
| ~ ssItem(sK9(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f200,f222]) ).
fof(f270,plain,
! [X0] :
( ~ lt(sK9(X0),sK10(X0))
| ~ ssItem(sK9(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f269,f217]) ).
fof(f271,plain,
! [X0] :
( ~ lt(sK9(X0),sK10(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f270,f216]) ).
fof(f827,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(sK13(X0))
| ~ ssList(sK12(X0))
| ~ ssList(sK11(X0))
| ~ ssItem(sK10(X0))
| ~ ssItem(sK9(X0))
| lt(sK9(X0),sK10(X0))
| ~ ssList(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f257,f221]) ).
fof(f832,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(sK13(X0))
| ~ ssList(sK12(X0))
| ~ ssList(sK11(X0))
| ~ ssItem(sK10(X0))
| ~ ssItem(sK9(X0))
| lt(sK9(X0),sK10(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(duplicate_literal_removal,[],[f827]) ).
fof(f836,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(sK13(X0))
| ~ ssList(sK12(X0))
| ~ ssList(sK11(X0))
| ~ ssItem(sK10(X0))
| ~ ssItem(sK9(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f832,f271]) ).
fof(f847,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(sK12(X0))
| ~ ssList(sK11(X0))
| ~ ssItem(sK10(X0))
| ~ ssItem(sK9(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f836,f220]) ).
fof(f854,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(sK11(X0))
| ~ ssItem(sK10(X0))
| ~ ssItem(sK9(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f847,f219]) ).
fof(f855,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssItem(sK10(X0))
| ~ ssItem(sK9(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f854,f218]) ).
fof(f856,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssItem(sK9(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f855,f217]) ).
fof(f857,plain,
! [X0] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ strictorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f856,f216]) ).
fof(f943,plain,
( ~ ssList(sK2)
| ~ strictorderedP(sK2) ),
inference(resolution,[],[f857,f246]) ).
fof(f948,plain,
~ strictorderedP(sK2),
inference(forward_subsumption_resolution,[],[f943,f167]) ).
fof(f949,plain,
$false,
inference(forward_subsumption_resolution,[],[f948,f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC272+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 08:48:10 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.09/1.08 % (1642259)Detected formulas, will run a generic FOF schedule.
% 3.09/1.08 % (1642267)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=929330463:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.09/1.08 % (1642267)Instruction limit reached!
% 3.09/1.08 % (1642267)------------------------------
% 3.09/1.08 % (1642267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.08 % (1642267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.08 % (1642267)CaDiCaL version: 2.1.3
% 3.09/1.08 % (1642267)Termination reason: Instruction limit
% 3.09/1.08 % (1642267)Termination phase: Saturation
% 3.09/1.08 % (1642267)Time elapsed: 0.037 s
% 3.09/1.08 % (1642267)Peak memory usage: 89 MB
% 3.09/1.08 % (1642267)Instructions burned: 110 (million)
% 3.09/1.08 % (1642268)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2906470448:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.09/1.08 % (1642270)dis-21_1_sil=8000:lcm=predicate:random_seed=4155419232: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)
% 3.09/1.08 % (1642265)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=3072860545:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.09/1.08 % (1642264)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=2825169365:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.09/1.08 % (1642266)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=2067112625:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.09/1.08 % (1642269)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=7949662:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.09/1.08 % (1642268)First to succeed.
% 3.09/1.08 % (1642268)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1642259"
% 3.09/1.08 % (1642270)Instruction limit reached!
% 3.09/1.08 % (1642270)------------------------------
% 3.09/1.08 % (1642270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.08 % (1642270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.08 % (1642270)CaDiCaL version: 2.1.3
% 3.09/1.08 % (1642270)Termination reason: Instruction limit
% 3.09/1.08 % (1642270)Termination phase: Saturation
% 3.09/1.08 % (1642270)Time elapsed: 0.070 s
% 3.09/1.08 % (1642270)Peak memory usage: 91 MB
% 3.09/1.08 % (1642270)Instructions burned: 130 (million)
% 3.09/1.08 % (1642272)lrs+10_1_sil=8000:sp=occurrence:random_seed=325512622:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.09/1.08 % (1642269)Instruction limit reached!
% 3.09/1.08 % (1642269)------------------------------
% 3.09/1.08 % (1642269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.08 % (1642269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.08 % (1642269)CaDiCaL version: 2.1.3
% 3.09/1.08 % (1642269)Termination reason: Instruction limit
% 3.09/1.08 % (1642269)Termination phase: Saturation
% 3.09/1.08 % (1642269)Time elapsed: 0.091 s
% 3.09/1.08 % (1642269)Peak memory usage: 90 MB
% 3.09/1.08 % (1642269)Instructions burned: 139 (million)
% 3.09/1.08 % (1642272)Also succeeded, but the first one will report.
% 3.09/1.08 % (1642279)lrs+10_1_sil=32000:urr=on:br=off:random_seed=469209451:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.09/1.08 % (1642281)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2757452352:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.09/1.08 % (1642268)Refutation found. Thanks to Tanya!
% 3.09/1.08 % SZS status Theorem for theBenchmark
% 3.09/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.18 % (1642268)------------------------------
% 3.55/1.18 % (1642268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.18 % (1642268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.18 % (1642268)CaDiCaL version: 2.1.3
% 3.55/1.18 % (1642268)Termination reason: Refutation
% 3.55/1.18 % (1642268)Time elapsed: 0.020 s
% 3.55/1.18 % (1642268)Peak memory usage: 89 MB
% 3.55/1.18 % (1642268)Instructions burned: 31 (million)
% 3.55/1.18 % (1642268)------------------------------
% 3.55/1.18 % (1642268)------------------------------
% 3.55/1.18 % (1642259)Success in time 0.427 s
% 3.55/1.18 % Vampire exiting
%------------------------------------------------------------------------------