%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN075+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:26:44 PM UTC 2026
% Result : Theorem 12.59s 2.76s
% Output : Refutation 13.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 8
% Syntax : Number of formulae : 66 ( 15 unt; 0 def)
% Number of atoms : 482 ( 0 equ)
% Maximal formula atoms : 23 ( 7 avg)
% Number of connectives : 786 ( 370 ~; 340 |; 76 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 15 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 0 con; 1-2 aty)
% Number of variables : 508 ( 450 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( id(X3,X2)
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ~ id(X0,X2)
| ~ id(X1,X3)
| ( ~ r2(X0,X1)
& ~ r2(X2,X3) )
| ( r2(X0,X1)
& r2(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f12,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r3(X0,X4,X3) ) )
& ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f13,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r4(X0,X4,X3) ) )
& ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f15,axiom,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f16,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( id(X1,X3)
& r1(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f19,conjecture,
? [X0] :
( ? [X1] :
( id(X0,X1)
& ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r2(X6,X5)
& ? [X7] :
( r2(X7,X6)
& ? [X8] :
( r2(X8,X7)
& ? [X9] :
( r2(X9,X8)
& ? [X10] :
( r1(X10)
& r2(X10,X9) ) ) ) ) ) ) ) ) ) )
& ? [X11] :
( ? [X12] :
( r3(X11,X12,X0)
& ? [X13] :
( r2(X13,X12)
& ? [X14] :
( r1(X14)
& r2(X14,X13) ) ) )
& ? [X15] :
( r2(X15,X11)
& ? [X16] :
( r2(X16,X15)
& ? [X17] :
( r2(X17,X16)
& ? [X18] :
( r2(X18,X17)
& ? [X19] :
( r2(X19,X18)
& ? [X20] :
( r2(X20,X19)
& ? [X21] :
( r1(X21)
& r2(X21,X20) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sevenplustwoidnine) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( id(X0,X1)
& ? [X2] :
( r2(X2,X1)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r2(X6,X5)
& ? [X7] :
( r2(X7,X6)
& ? [X8] :
( r2(X8,X7)
& ? [X9] :
( r2(X9,X8)
& ? [X10] :
( r1(X10)
& r2(X10,X9) ) ) ) ) ) ) ) ) ) )
& ? [X11] :
( ? [X12] :
( r3(X11,X12,X0)
& ? [X13] :
( r2(X13,X12)
& ? [X14] :
( r1(X14)
& r2(X14,X13) ) ) )
& ? [X15] :
( r2(X15,X11)
& ? [X16] :
( r2(X16,X15)
& ? [X17] :
( r2(X17,X16)
& ? [X18] :
( r2(X18,X17)
& ? [X19] :
( r2(X19,X18)
& ? [X20] :
( r2(X20,X19)
& ? [X21] :
( r1(X21)
& r2(X21,X20) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ id(X0,X1)
| ! [X2] :
( ~ r2(X2,X1)
| ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r2(X7,X6)
| ! [X8] :
( ~ r2(X8,X7)
| ! [X9] :
( ~ r2(X9,X8)
| ! [X10] :
( ~ r1(X10)
| ~ r2(X10,X9) ) ) ) ) ) ) ) ) ) )
| ! [X11] :
( ! [X12] :
( ~ r3(X11,X12,X0)
| ! [X13] :
( ~ r2(X13,X12)
| ! [X14] :
( ~ r1(X14)
| ~ r2(X14,X13) ) ) )
| ! [X15] :
( ~ r2(X15,X11)
| ! [X16] :
( ~ r2(X16,X15)
| ! [X17] :
( ~ r2(X17,X16)
| ! [X18] :
( ~ r2(X18,X17)
| ! [X19] :
( ~ r2(X19,X18)
| ! [X20] :
( ~ r2(X20,X19)
| ! [X21] :
( ~ r1(X21)
| ~ r2(X21,X20) ) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f24,plain,
! [X0,X1,X3] :
( ( id(X3,sK2(X0,X1))
& r3(X0,X1,X3) )
| ( ~ r3(X0,X1,X3)
& ~ id(X3,sK2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( id(sK5(X0,X1),sK4(X0,X1))
& r2(X1,sK6(X0,X1))
& r3(X0,sK6(X0,X1),sK5(X0,X1))
& r2(sK7(X0,X1),sK4(X0,X1))
& r3(X0,X1,sK7(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X5,sK7(X0,X1))],[f12]) ).
fof(f27,plain,
! [X0,X1] :
( id(sK9(X0,X1),sK8(X0,X1))
& r2(X1,sK10(X0,X1))
& r4(X0,sK10(X0,X1),sK9(X0,X1))
& r3(sK11(X0,X1),X0,sK8(X0,X1))
& r4(X0,X1,sK11(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1))],[f13]) ).
fof(f28,plain,
! [X0] :
( id(sK12(X0),X0)
& r1(sK13(X0))
& r3(X0,sK13(X0),sK12(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f15]) ).
fof(f29,plain,
! [X0] :
( r1(sK15(X0))
& r4(X0,sK15(X0),sK14(X0))
& id(sK14(X0),sK16(X0))
& r1(sK16(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0))],[f16]) ).
fof(f42,plain,
! [X3,X0,X1] :
( id(X3,sK2(X0,X1))
| ~ r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2)
| r2(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2)
| r2(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1] : r3(X0,X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0,X1] : r2(sK7(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0,X1] : r3(X0,sK6(X0,X1),sK5(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
! [X0,X1] : r2(X1,sK6(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
! [X0,X1] : id(sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f26]) ).
fof(f74,plain,
! [X0,X1] : r2(X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
fof(f77,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f78,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f79,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f28]) ).
fof(f83,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f89,plain,
! [X2,X21,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13,X20] :
( ~ r3(X11,X12,X0)
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r1(X10)
| ~ r2(X10,X9)
| ~ id(X0,X1)
| ~ r2(X13,X12)
| ~ r1(X14)
| ~ r2(X14,X13)
| ~ r2(X15,X11)
| ~ r2(X16,X15)
| ~ r2(X17,X16)
| ~ r2(X18,X17)
| ~ r2(X19,X18)
| ~ r2(X20,X19)
| ~ r1(X21)
| ~ r2(X21,X20) ),
inference(cnf_transformation,[],[f21]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ~ id(sK7(X0,X1),X3)
| ~ id(sK4(X0,X1),X2)
| r2(X3,X2) ),
inference(resolution,[],[f56,f67]) ).
fof(f112,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13,X20] :
( ~ r2(X12,sK6(X10,X11))
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r1(X9)
| ~ r2(X9,X8)
| ~ id(sK5(X10,X11),X1)
| ~ r2(X0,X1)
| ~ r1(X13)
| ~ r2(X13,X12)
| ~ r2(X14,X10)
| ~ r2(X15,X14)
| ~ r2(X16,X15)
| ~ r2(X17,X16)
| ~ r2(X18,X17)
| ~ r2(X19,X18)
| ~ r1(X20)
| ~ r2(X20,X19) ),
inference(resolution,[],[f68,f89]) ).
fof(f113,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13] :
( ~ id(sK5(X9,X10),X11)
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r1(X8)
| ~ r2(X8,X7)
| ~ r2(X0,X1)
| ~ r2(X1,X11)
| ~ r1(X12)
| ~ r2(X12,X10)
| ~ r2(X13,X9)
| ~ r2(X14,X13)
| ~ r2(X15,X14)
| ~ r2(X16,X15)
| ~ r2(X17,X16)
| ~ r2(X18,X17)
| ~ r1(X19)
| ~ r2(X19,X18) ),
inference(resolution,[],[f112,f69]) ).
fof(f123,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ r2(X8,sK4(X9,X10))
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6)
| ~ r2(X1,X8)
| ~ r2(X0,X1)
| ~ r1(X11)
| ~ r2(X11,X10)
| ~ r2(X12,X9)
| ~ r2(X13,X12)
| ~ r2(X14,X13)
| ~ r2(X15,X14)
| ~ r2(X16,X15)
| ~ r2(X17,X16)
| ~ r1(X18)
| ~ r2(X18,X17) ),
inference(resolution,[],[f70,f113]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3(X0,X1,sK7(X2,X3))
| ~ id(sK4(X2,X3),X4)
| r2(sK2(X0,X1),X4) ),
inference(resolution,[],[f42,f99]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ id(sK4(X0,X1),X2)
| r2(sK2(X0,X1),X2) ),
inference(resolution,[],[f236,f66]) ).
fof(f242,plain,
! [X0,X1] : r2(sK2(X0,X1),sK4(X0,X1)),
inference(resolution,[],[f240,f47]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( ~ id(X3,sK2(X1,X2))
| ~ id(X0,sK4(X1,X2))
| r2(X3,X0) ),
inference(resolution,[],[f242,f55]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ id(X0,sK4(X1,X2))
| r2(X3,X0)
| ~ r3(X1,X2,X3) ),
inference(resolution,[],[f250,f42]) ).
fof(f283,plain,
! [X2,X0,X1] :
( r2(X0,sK5(X1,X2))
| ~ r3(X1,X2,X0) ),
inference(resolution,[],[f280,f70]) ).
fof(f285,plain,
! [X2,X0,X1] :
( r2(X0,sK4(X1,X2))
| ~ r3(X1,X2,X0) ),
inference(resolution,[],[f280,f47]) ).
fof(f286,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ r3(X0,X1,X2)
| ~ r2(X3,X4)
| ~ r2(X5,X3)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r1(X9)
| ~ r2(X9,X8)
| ~ r2(X10,X2)
| ~ r2(X4,X10)
| ~ r1(X11)
| ~ r2(X11,X1)
| ~ r2(X12,X0)
| ~ r2(X13,X12)
| ~ r2(X14,X13)
| ~ r2(X15,X14)
| ~ r2(X16,X15)
| ~ r2(X17,X16)
| ~ r1(X18)
| ~ r2(X18,X17) ),
inference(resolution,[],[f285,f123]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X4] :
( ~ id(sK5(X0,X1),X3)
| ~ r3(X0,X1,X2)
| ~ id(X2,X4)
| r2(X4,X3) ),
inference(resolution,[],[f283,f56]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ id(X2,X3)
| r2(X3,sK5(X0,X1)) ),
inference(resolution,[],[f296,f47]) ).
fof(f321,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ r2(X10,sK6(X8,X9))
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X7,sK5(X8,X9))
| ~ r2(X1,X7)
| ~ r1(X10)
| ~ r2(X0,X1)
| ~ r2(X11,X8)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r2(X14,X13)
| ~ r2(X15,X14)
| ~ r2(X16,X15)
| ~ r1(X17)
| ~ r2(X17,X16) ),
inference(resolution,[],[f286,f68]) ).
fof(f362,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ r2(X6,sK5(X7,X8))
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X0,X1)
| ~ r2(X9,X6)
| ~ r1(X8)
| ~ r2(X1,X9)
| ~ r2(X10,X7)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r2(X14,X13)
| ~ r2(X15,X14)
| ~ r1(X16)
| ~ r2(X16,X15) ),
inference(resolution,[],[f321,f69]) ).
fof(f380,plain,
! [X0,X1] :
( r2(X1,sK5(X0,sK13(X0)))
| ~ id(sK12(X0),X1) ),
inference(resolution,[],[f297,f77]) ).
fof(f386,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ id(sK12(X0),X1)
| ~ r2(X2,X3)
| ~ r2(X4,X2)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X3,X7)
| ~ r2(X8,X1)
| ~ r1(sK13(X0))
| ~ r2(X7,X8)
| ~ r2(X9,X0)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r2(X14,X13)
| ~ r1(X15)
| ~ r2(X15,X14) ),
inference(resolution,[],[f380,f362]) ).
fof(f393,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ id(sK12(X0),X1)
| ~ r2(X2,X3)
| ~ r2(X4,X2)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X3,X7)
| ~ r2(X8,X1)
| ~ r2(X7,X8)
| ~ r2(X9,X0)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r2(X14,X13)
| ~ r1(X15)
| ~ r2(X15,X14) ),
inference(forward_subsumption_resolution,[],[f386,f78]) ).
fof(f407,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(X14,X13)
| ~ r2(X2,X0)
| ~ r2(X3,X2)
| ~ r1(X4)
| ~ r2(X4,X3)
| ~ r2(X1,X5)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X13,X12)
| ~ r1(X14)
| ~ r2(X0,X1) ),
inference(resolution,[],[f393,f79]) ).
fof(f426,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(sK6(X13,X14),X12)
| ~ r2(X2,X0)
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ r2(X4,X5)
| ~ r2(X6,X7)
| ~ r2(X5,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X11,X10)
| ~ r2(X12,X11)
| ~ r2(X0,X1)
| ~ r1(X14)
| ~ r2(X1,X4) ),
inference(resolution,[],[f407,f69]) ).
fof(f440,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(sK10(X11,sK6(X12,X13)),X10)
| ~ r1(X2)
| ~ r2(X2,X0)
| ~ r2(X3,X4)
| ~ r2(X5,X6)
| ~ r2(X4,X5)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r2(X9,X8)
| ~ r2(X10,X9)
| ~ r2(X0,X1)
| ~ r2(X1,X14)
| ~ r1(X13)
| ~ r2(X14,X3) ),
inference(resolution,[],[f426,f74]) ).
fof(f480,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(sK6(X9,sK10(X10,sK6(X11,X12))),X8)
| ~ r2(X0,X1)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X8,X7)
| ~ r1(X0)
| ~ r2(X1,X13)
| ~ r2(X13,X14)
| ~ r1(X12)
| ~ r2(X14,X2) ),
inference(resolution,[],[f440,f69]) ).
fof(f552,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(sK6(X8,sK6(X9,sK10(X10,sK6(X11,X12)))),X7)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X3,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X0,X1)
| ~ r1(X0)
| ~ r2(X1,X13)
| ~ r2(X13,X14)
| ~ r1(X12)
| ~ r2(X14,X2) ),
inference(resolution,[],[f480,f69]) ).
fof(f753,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(sK6(X5,sK6(X6,sK6(X7,sK10(X8,sK6(X9,X10))))),X4)
| ~ r2(X2,X3)
| ~ r2(X1,X2)
| ~ r2(X4,X3)
| ~ r2(X0,X1)
| ~ r2(X11,X12)
| ~ r1(X11)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r1(X10)
| ~ r2(X14,X0) ),
inference(resolution,[],[f552,f69]) ).
fof(f1143,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(sK6(X3,sK6(X4,sK6(X5,sK6(X6,sK10(X7,sK6(X8,X9)))))),X1)
| ~ r2(X2,X0)
| ~ r2(X0,X1)
| ~ r2(X10,X2)
| ~ r2(X11,X12)
| ~ r1(X11)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r1(X9)
| ~ r2(X14,X10) ),
inference(resolution,[],[f753,f69]) ).
fof(f1157,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ r2(X1,sK10(X2,sK6(X3,sK6(X4,sK6(X5,sK6(X6,sK10(X7,sK6(X8,X9))))))))
| ~ r2(X0,X1)
| ~ r2(X10,X0)
| ~ r2(X11,X12)
| ~ r1(X11)
| ~ r2(X12,X13)
| ~ r2(X13,X14)
| ~ r1(X9)
| ~ r2(X14,X10) ),
inference(resolution,[],[f1143,f74]) ).
fof(f1159,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ r2(X0,sK6(X1,sK6(X2,sK6(X3,sK6(X4,sK10(X5,sK6(X6,X7)))))))
| ~ r2(X8,X0)
| ~ r2(X9,X10)
| ~ r1(X9)
| ~ r2(X10,X11)
| ~ r2(X11,X12)
| ~ r1(X7)
| ~ r2(X12,X8) ),
inference(resolution,[],[f1157,f74]) ).
fof(f1161,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ r2(X0,sK6(X1,sK6(X2,sK6(X3,sK10(X4,sK6(X5,X6))))))
| ~ r2(X7,X8)
| ~ r1(X7)
| ~ r2(X8,X9)
| ~ r2(X9,X10)
| ~ r1(X6)
| ~ r2(X10,X0) ),
inference(resolution,[],[f1159,f69]) ).
fof(f1163,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r2(X3,sK6(X5,sK6(X6,sK10(X7,sK6(X8,X4)))))
| ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r1(X4)
| ~ r2(X0,X1) ),
inference(resolution,[],[f1161,f69]) ).
fof(f1165,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X2,sK6(X3,sK10(X4,sK6(X5,X6))))
| ~ r2(X1,X2)
| ~ r1(X0)
| ~ r1(X6)
| ~ r2(X0,X1) ),
inference(resolution,[],[f1163,f69]) ).
fof(f1167,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X0,sK10(X1,sK6(X2,X3)))
| ~ r1(X4)
| ~ r1(X3)
| ~ r2(X4,X0) ),
inference(resolution,[],[f1165,f69]) ).
fof(f1169,plain,
! [X2,X0,X1] :
( ~ r2(X0,sK6(X2,X1))
| ~ r1(X1)
| ~ r1(X0) ),
inference(resolution,[],[f1167,f74]) ).
fof(f1171,plain,
! [X0] :
( ~ r1(X0)
| ~ r1(X0) ),
inference(resolution,[],[f1169,f69]) ).
fof(f1173,plain,
! [X0] : ~ r1(X0),
inference(duplicate_literal_removal,[],[f1171]) ).
fof(f1177,plain,
$false,
inference(resolution,[],[f1173,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN075+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n013.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 21:53:22 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 12.07/2.68 % (593727)Detected formulas, will run a generic FOF schedule.
% 12.07/2.68 % (593734)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=2705325508:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.07/2.68 % (593736)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2747797961:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.07/2.68 % (593738)dis-21_1_sil=8000:lcm=predicate:random_seed=1627347274: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)
% 12.07/2.68 % (593733)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=1168615840:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.07/2.68 % (593732)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=3753498546:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.07/2.68 % (593735)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1835051946:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.07/2.68 % (593737)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=254965933:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.07/2.68 % (593738)Instruction limit reached!
% 12.07/2.68 % (593738)------------------------------
% 12.07/2.68 % (593738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.68 % (593738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.68 % (593738)CaDiCaL version: 2.1.3
% 12.07/2.68 % (593738)Termination reason: Instruction limit
% 12.07/2.68 % (593738)Termination phase: Saturation
% 12.07/2.68 % (593738)Time elapsed: 0.043 s
% 12.07/2.68 % (593738)Peak memory usage: 87 MB
% 12.07/2.68 % (593738)Instructions burned: 130 (million)
% 12.07/2.68 % (593736)Instruction limit reached!
% 12.07/2.68 % (593736)------------------------------
% 12.07/2.68 % (593736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.68 % (593736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.68 % (593736)CaDiCaL version: 2.1.3
% 12.07/2.68 % (593736)Termination reason: Instruction limit
% 12.07/2.68 % (593736)Termination phase: Saturation
% 12.07/2.68 % (593736)Time elapsed: 0.048 s
% 12.07/2.68 % (593736)Peak memory usage: 88 MB
% 12.07/2.68 % (593736)Instructions burned: 120 (million)
% 12.07/2.68 % (593735)Instruction limit reached!
% 12.07/2.68 % (593735)------------------------------
% 12.07/2.68 % (593735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.68 % (593735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.68 % (593735)CaDiCaL version: 2.1.3
% 12.07/2.68 % (593735)Termination reason: Instruction limit
% 12.07/2.68 % (593735)Termination phase: Saturation
% 12.07/2.68 % (593735)Time elapsed: 0.055 s
% 12.07/2.68 % (593735)Peak memory usage: 89 MB
% 12.07/2.68 % (593735)Instructions burned: 112 (million)
% 12.07/2.68 % (593737)Instruction limit reached!
% 12.07/2.68 % (593737)------------------------------
% 12.07/2.68 % (593737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.07/2.68 % (593737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.07/2.68 % (593737)CaDiCaL version: 2.1.3
% 12.07/2.68 % (593737)Termination reason: Instruction limit
% 12.07/2.68 % (593737)Termination phase: Saturation
% 12.07/2.68 % (593737)Time elapsed: 0.050 s
% 12.07/2.68 % (593737)Peak memory usage: 88 MB
% 12.07/2.68 % (593737)Instructions burned: 142 (million)
% 12.07/2.68 % (593747)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1573503019:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.07/2.68 % (593746)lrs+10_1_sil=8000:sp=occurrence:random_seed=3899484869:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.07/2.68 % (593749)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=3233821290:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.07/2.68 % (593748)lrs+1011_1_sil=32000:sp=occurrence:random_seed=233514521:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.07/2.68 % (593747)Instruction limit reached!
% 12.07/2.68 % (593747)------------------------------
% 12.07/2.68 % (593747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593747)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593747)Termination reason: Instruction limit
% 12.59/2.76 % (593747)Termination phase: Saturation
% 12.59/2.76 % (593747)Time elapsed: 0.075 s
% 12.59/2.76 % (593747)Peak memory usage: 90 MB
% 12.59/2.76 % (593747)Instructions burned: 158 (million)
% 12.59/2.76 % (593746)Instruction limit reached!
% 12.59/2.76 % (593746)------------------------------
% 12.59/2.76 % (593746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593746)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593746)Termination reason: Instruction limit
% 12.59/2.76 % (593746)Termination phase: Saturation
% 12.59/2.76 % (593746)Time elapsed: 0.139 s
% 12.59/2.76 % (593746)Peak memory usage: 90 MB
% 12.59/2.76 % (593746)Instructions burned: 287 (million)
% 12.59/2.76 % (593749)Instruction limit reached!
% 12.59/2.76 % (593749)------------------------------
% 12.59/2.76 % (593749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593749)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593749)Termination reason: Instruction limit
% 12.59/2.76 % (593749)Termination phase: Saturation
% 12.59/2.76 % (593749)Time elapsed: 0.118 s
% 12.59/2.76 % (593749)Peak memory usage: 89 MB
% 12.59/2.76 % (593749)Instructions burned: 249 (million)
% 12.59/2.76 % (593748)Instruction limit reached!
% 12.59/2.76 % (593748)------------------------------
% 12.59/2.76 % (593748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593748)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593748)Termination reason: Instruction limit
% 12.59/2.76 % (593748)Termination phase: Saturation
% 12.59/2.76 % (593748)Time elapsed: 0.137 s
% 12.59/2.76 % (593748)Peak memory usage: 89 MB
% 12.59/2.76 % (593748)Instructions burned: 325 (million)
% 12.59/2.76 % (593754)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=298388486:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.59/2.76 % (593755)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=828440182:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.59/2.76 % (593756)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3653141424:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.59/2.76 % (593757)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=319686461:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 12.59/2.76 % (593756)Instruction limit reached!
% 12.59/2.76 % (593756)------------------------------
% 12.59/2.76 % (593756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593756)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593756)Termination reason: Instruction limit
% 12.59/2.76 % (593756)Termination phase: Saturation
% 12.59/2.76 % (593756)Time elapsed: 0.052 s
% 12.59/2.76 % (593756)Peak memory usage: 88 MB
% 12.59/2.76 % (593756)Instructions burned: 113 (million)
% 12.59/2.76 % (593754)Instruction limit reached!
% 12.59/2.76 % (593754)------------------------------
% 12.59/2.76 % (593754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593754)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593754)Termination reason: Instruction limit
% 12.59/2.76 % (593754)Termination phase: Saturation
% 12.59/2.76 % (593754)Time elapsed: 0.138 s
% 12.59/2.76 % (593754)Peak memory usage: 88 MB
% 12.59/2.76 % (593754)Instructions burned: 296 (million)
% 12.59/2.76 % (593757)Instruction limit reached!
% 12.59/2.76 % (593757)------------------------------
% 12.59/2.76 % (593757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593757)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593757)Termination reason: Instruction limit
% 12.59/2.76 % (593757)Termination phase: Saturation
% 12.59/2.76 % (593757)Time elapsed: 0.063 s
% 12.59/2.76 % (593757)Peak memory usage: 89 MB
% 12.59/2.76 % (593757)Instructions burned: 128 (million)
% 12.59/2.76 % (593762)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3059193341:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 12.59/2.76 % (593763)lrs+10_1_sil=8000:sp=occurrence:random_seed=1823404360:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.59/2.76 % (593764)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2108776481:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 12.59/2.76 % (593762)Instruction limit reached!
% 12.59/2.76 % (593762)------------------------------
% 12.59/2.76 % (593762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593762)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593762)Termination reason: Instruction limit
% 12.59/2.76 % (593762)Termination phase: Saturation
% 12.59/2.76 % (593762)Time elapsed: 0.042 s
% 12.59/2.76 % (593762)Peak memory usage: 88 MB
% 12.59/2.76 % (593762)Instructions burned: 116 (million)
% 12.59/2.76 % (593764)Instruction limit reached!
% 12.59/2.76 % (593764)------------------------------
% 12.59/2.76 % (593764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593764)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593764)Termination reason: Instruction limit
% 12.59/2.76 % (593764)Termination phase: Saturation
% 12.59/2.76 % (593764)Time elapsed: 0.142 s
% 12.59/2.76 % (593764)Peak memory usage: 88 MB
% 12.59/2.76 % (593764)Instructions burned: 438 (million)
% 12.59/2.76 % (593768)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3595659347:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 12.59/2.76 % (593769)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1295432313:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 12.59/2.76 % (593769)Instruction limit reached!
% 12.59/2.76 % (593769)------------------------------
% 12.59/2.76 % (593769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593769)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593769)Termination reason: Instruction limit
% 12.59/2.76 % (593769)Termination phase: Saturation
% 12.59/2.76 % (593769)Time elapsed: 0.067 s
% 12.59/2.76 % (593769)Peak memory usage: 89 MB
% 12.59/2.76 % (593769)Instructions burned: 134 (million)
% 12.59/2.76 % (593763)Instruction limit reached!
% 12.59/2.76 % (593763)------------------------------
% 12.59/2.76 % (593763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593763)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593763)Termination reason: Instruction limit
% 12.59/2.76 % (593763)Termination phase: Saturation
% 12.59/2.76 % (593763)Time elapsed: 0.437 s
% 12.59/2.76 % (593763)Peak memory usage: 94 MB
% 12.59/2.76 % (593763)Instructions burned: 907 (million)
% 12.59/2.76 % (593772)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1011553407:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.59/2.76 % (593773)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2974558229:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 12.59/2.76 % (593732)First to succeed.
% 12.59/2.76 % (593732)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-593727"
% 12.59/2.76 % (593772)Instruction limit reached!
% 12.59/2.76 % (593772)------------------------------
% 12.59/2.76 % (593772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.76 % (593772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.76 % (593772)CaDiCaL version: 2.1.3
% 12.59/2.76 % (593772)Termination reason: Instruction limit
% 12.59/2.76 % (593772)Termination phase: Saturation
% 12.59/2.76 % (593772)Time elapsed: 0.201 s
% 12.59/2.76 % (593772)Peak memory usage: 90 MB
% 12.59/2.76 % (593772)Instructions burned: 592 (million)
% 12.59/2.76 % (593776)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=2223287949:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 12.59/2.76 % (593755)Also succeeded, but the first one will report.
% 12.59/2.76 % (593732)Refutation found. Thanks to Tanya!
% 12.59/2.76 % SZS status Theorem for theBenchmark
% 12.59/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 13.84/2.96 % (593732)------------------------------
% 13.84/2.96 % (593732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.84/2.96 % (593732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.84/2.96 % (593732)CaDiCaL version: 2.1.3
% 13.84/2.96 % (593732)Termination reason: Refutation
% 13.84/2.96 % (593732)Time elapsed: 1.435 s
% 13.84/2.96 % (593732)Peak memory usage: 134 MB
% 13.84/2.96 % (593732)Instructions burned: 2961 (million)
% 13.84/2.96 % (593732)------------------------------
% 13.84/2.96 % (593732)------------------------------
% 13.84/2.96 % (593727)Success in time 1.879 s
% 13.84/2.96 % Vampire exiting
%------------------------------------------------------------------------------