%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR157+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:43:59 AM UTC 2026
% Result : Theorem 17.73s 3.34s
% Output : Refutation 18.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 383 ( 6 equ)
% Maximal formula atoms : 80 ( 13 avg)
% Number of connectives : 484 ( 130 ~; 125 |; 206 &)
% ( 21 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-7 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 234 ( 228 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( p__d__disjoint(X0,X1)
<=> ! [X2] :
( ~ p__d__instance(X2,X0)
| ~ p__d__instance(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA15) ).
fof(f6,axiom,
( ! [X0,X1,X2] :
( p__d__partition3(X0,X1,X2)
<=> ( p__d__exhaustiveDecomposition3(X0,X1,X2)
& p__d__disjointDecomposition3(X0,X1,X2) ) )
& ! [X0,X1,X2,X3] :
( p__d__partition4(X0,X1,X2,X3)
<=> ( p__d__exhaustiveDecomposition4(X0,X1,X2,X3)
& p__d__disjointDecomposition4(X0,X1,X2,X3) ) )
& ! [X0,X1,X2,X3,X4] :
( p__d__partition5(X0,X1,X2,X3,X4)
<=> ( p__d__exhaustiveDecomposition5(X0,X1,X2,X3,X4)
& p__d__disjointDecomposition5(X0,X1,X2,X3,X4) ) )
& ! [X0,X1,X2,X3,X4,X5] :
( p__d__partition6(X0,X1,X2,X3,X4,X5)
<=> ( p__d__exhaustiveDecomposition6(X0,X1,X2,X3,X4,X5)
& p__d__disjointDecomposition6(X0,X1,X2,X3,X4,X5) ) )
& ! [X0,X1,X2,X3,X4,X5,X6] :
( p__d__partition7(X0,X1,X2,X3,X4,X5,X6)
<=> ( p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6)
& p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA18) ).
fof(f8,axiom,
( ! [X0,X1,X2] :
( p__d__disjointDecomposition3(X0,X1,X2)
<=> p__d__disjoint(X1,X2) )
& ! [X0,X1,X2,X3] :
( p__d__disjointDecomposition4(X0,X1,X2,X3)
<=> ( p__d__disjoint(X1,X2)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X2,X3) ) )
& ! [X0,X1,X2,X3,X4] :
( p__d__disjointDecomposition5(X0,X1,X2,X3,X4)
<=> ( p__d__disjoint(X1,X2)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X3,X4) ) )
& ! [X0,X1,X2,X3,X4,X5] :
( p__d__disjointDecomposition6(X0,X1,X2,X3,X4,X5)
<=> ( p__d__disjoint(X1,X2)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X1,X5)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X2,X5)
& p__d__disjoint(X3,X4)
& p__d__disjoint(X3,X5)
& p__d__disjoint(X4,X5) ) )
& ! [X0,X1,X2,X3,X4,X5,X6] :
( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
<=> ( p__d__disjoint(X1,X2)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X1,X5)
& p__d__disjoint(X1,X6)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X2,X5)
& p__d__disjoint(X2,X6)
& p__d__disjoint(X3,X4)
& p__d__disjoint(X3,X5)
& p__d__disjoint(X3,X6)
& p__d__disjoint(X4,X5)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA24) ).
fof(f1666,axiom,
p__d__partition3(c__QuantityChange,c__Increasing,c__Decreasing),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2401) ).
fof(f7433,conjecture,
! [X0,X1] :
( ( p__d__instance(X0,c__Decreasing)
& p__d__instance(X1,c__Increasing) )
=> X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antonymPattern10002) ).
fof(f7434,negated_conjecture,
~ ! [X0,X1] :
( ( p__d__instance(X0,c__Decreasing)
& p__d__instance(X1,c__Increasing) )
=> X0 != X1 ),
inference(negated_conjecture,[status(cth)],[f7433]) ).
fof(f7436,plain,
( ! [X0,X1,X2] :
( p__d__partition3(X0,X1,X2)
<=> ( p__d__exhaustiveDecomposition3(X0,X1,X2)
& p__d__disjointDecomposition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( p__d__partition4(X3,X4,X5,X6)
<=> ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
& p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( p__d__partition5(X7,X8,X9,X10,X11)
<=> ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
& p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( p__d__partition6(X12,X13,X14,X15,X16,X17)
<=> ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
& p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
<=> ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
& p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(rectify,[],[f6]) ).
fof(f7438,plain,
( ! [X0,X1,X2] :
( p__d__disjointDecomposition3(X0,X1,X2)
<=> p__d__disjoint(X1,X2) )
& ! [X3,X4,X5,X6] :
( p__d__disjointDecomposition4(X3,X4,X5,X6)
<=> ( p__d__disjoint(X4,X5)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
<=> ( p__d__disjoint(X8,X9)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
<=> ( p__d__disjoint(X13,X14)
& p__d__disjoint(X13,X15)
& p__d__disjoint(X13,X16)
& p__d__disjoint(X13,X17)
& p__d__disjoint(X14,X15)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
<=> ( p__d__disjoint(X19,X20)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X22)
& p__d__disjoint(X19,X23)
& p__d__disjoint(X19,X24)
& p__d__disjoint(X20,X21)
& p__d__disjoint(X20,X22)
& p__d__disjoint(X20,X23)
& p__d__disjoint(X20,X24)
& p__d__disjoint(X21,X22)
& p__d__disjoint(X21,X23)
& p__d__disjoint(X21,X24)
& p__d__disjoint(X22,X23)
& p__d__disjoint(X22,X24)
& p__d__disjoint(X23,X24) ) ) ),
inference(rectify,[],[f8]) ).
fof(f7439,plain,
? [X0,X1] :
( X0 = X1
& p__d__instance(X0,c__Decreasing)
& p__d__instance(X1,c__Increasing) ),
inference(ennf_transformation,[],[f7434]) ).
fof(f7440,plain,
? [X0,X1] :
( X0 = X1
& p__d__instance(X0,c__Decreasing)
& p__d__instance(X1,c__Increasing) ),
inference(flattening,[],[f7439]) ).
fof(f10593,plain,
( sK12 = sK13
& p__d__instance(sK12,c__Decreasing)
& p__d__instance(sK13,c__Increasing) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f7440]) ).
fof(f10609,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ? [X2] :
( p__d__instance(X2,X0)
& p__d__instance(X2,X1) ) )
& ( ! [X2] :
( ~ p__d__instance(X2,X0)
| ~ p__d__instance(X2,X1) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f10610,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ? [X2] :
( p__d__instance(X2,X0)
& p__d__instance(X2,X1) ) )
& ( ! [X3] :
( ~ p__d__instance(X3,X0)
| ~ p__d__instance(X3,X1) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(rectify,[],[f10609]) ).
fof(f10611,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ( p__d__instance(sK38(X0,X1),X0)
& p__d__instance(sK38(X0,X1),X1) ) )
& ( ! [X3] :
( ~ p__d__instance(X3,X0)
| ~ p__d__instance(X3,X1) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X2,sK38(X0,X1))],[f10610]) ).
fof(f10961,plain,
( ! [X0,X1,X2] :
( ( p__d__partition3(X0,X1,X2)
| ~ p__d__exhaustiveDecomposition3(X0,X1,X2)
| ~ p__d__disjointDecomposition3(X0,X1,X2) )
& ( ( p__d__exhaustiveDecomposition3(X0,X1,X2)
& p__d__disjointDecomposition3(X0,X1,X2) )
| ~ p__d__partition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( ( p__d__partition4(X3,X4,X5,X6)
| ~ p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
| ~ p__d__disjointDecomposition4(X3,X4,X5,X6) )
& ( ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
& p__d__disjointDecomposition4(X3,X4,X5,X6) )
| ~ p__d__partition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( ( p__d__partition5(X7,X8,X9,X10,X11)
| ~ p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
| ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
& ( ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
& p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
| ~ p__d__partition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( ( p__d__partition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
& ( ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
& p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
| ~ p__d__partition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( ( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
& ( ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
& p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
| ~ p__d__partition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(nnf_transformation,[],[f7436]) ).
fof(f10962,plain,
( ! [X0,X1,X2] :
( ( p__d__partition3(X0,X1,X2)
| ~ p__d__exhaustiveDecomposition3(X0,X1,X2)
| ~ p__d__disjointDecomposition3(X0,X1,X2) )
& ( ( p__d__exhaustiveDecomposition3(X0,X1,X2)
& p__d__disjointDecomposition3(X0,X1,X2) )
| ~ p__d__partition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( ( p__d__partition4(X3,X4,X5,X6)
| ~ p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
| ~ p__d__disjointDecomposition4(X3,X4,X5,X6) )
& ( ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
& p__d__disjointDecomposition4(X3,X4,X5,X6) )
| ~ p__d__partition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( ( p__d__partition5(X7,X8,X9,X10,X11)
| ~ p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
| ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
& ( ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
& p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
| ~ p__d__partition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( ( p__d__partition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
& ( ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
& p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
| ~ p__d__partition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( ( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
& ( ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
& p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
| ~ p__d__partition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(flattening,[],[f10961]) ).
fof(f11171,plain,
( ! [X0,X1,X2] :
( ( p__d__disjointDecomposition3(X0,X1,X2)
| ~ p__d__disjoint(X1,X2) )
& ( p__d__disjoint(X1,X2)
| ~ p__d__disjointDecomposition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( ( p__d__disjointDecomposition4(X3,X4,X5,X6)
| ~ p__d__disjoint(X4,X5)
| ~ p__d__disjoint(X4,X6)
| ~ p__d__disjoint(X5,X6) )
& ( ( p__d__disjoint(X4,X5)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X5,X6) )
| ~ p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( ( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
| ~ p__d__disjoint(X8,X9)
| ~ p__d__disjoint(X8,X10)
| ~ p__d__disjoint(X8,X11)
| ~ p__d__disjoint(X9,X10)
| ~ p__d__disjoint(X9,X11)
| ~ p__d__disjoint(X10,X11) )
& ( ( p__d__disjoint(X8,X9)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X10,X11) )
| ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( ( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__disjoint(X13,X14)
| ~ p__d__disjoint(X13,X15)
| ~ p__d__disjoint(X13,X16)
| ~ p__d__disjoint(X13,X17)
| ~ p__d__disjoint(X14,X15)
| ~ p__d__disjoint(X14,X16)
| ~ p__d__disjoint(X14,X17)
| ~ p__d__disjoint(X15,X16)
| ~ p__d__disjoint(X15,X17)
| ~ p__d__disjoint(X16,X17) )
& ( ( p__d__disjoint(X13,X14)
& p__d__disjoint(X13,X15)
& p__d__disjoint(X13,X16)
& p__d__disjoint(X13,X17)
& p__d__disjoint(X14,X15)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X16,X17) )
| ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( ( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__disjoint(X19,X20)
| ~ p__d__disjoint(X19,X21)
| ~ p__d__disjoint(X19,X22)
| ~ p__d__disjoint(X19,X23)
| ~ p__d__disjoint(X19,X24)
| ~ p__d__disjoint(X20,X21)
| ~ p__d__disjoint(X20,X22)
| ~ p__d__disjoint(X20,X23)
| ~ p__d__disjoint(X20,X24)
| ~ p__d__disjoint(X21,X22)
| ~ p__d__disjoint(X21,X23)
| ~ p__d__disjoint(X21,X24)
| ~ p__d__disjoint(X22,X23)
| ~ p__d__disjoint(X22,X24)
| ~ p__d__disjoint(X23,X24) )
& ( ( p__d__disjoint(X19,X20)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X22)
& p__d__disjoint(X19,X23)
& p__d__disjoint(X19,X24)
& p__d__disjoint(X20,X21)
& p__d__disjoint(X20,X22)
& p__d__disjoint(X20,X23)
& p__d__disjoint(X20,X24)
& p__d__disjoint(X21,X22)
& p__d__disjoint(X21,X23)
& p__d__disjoint(X21,X24)
& p__d__disjoint(X22,X23)
& p__d__disjoint(X22,X24)
& p__d__disjoint(X23,X24) )
| ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(nnf_transformation,[],[f7438]) ).
fof(f11172,plain,
( ! [X0,X1,X2] :
( ( p__d__disjointDecomposition3(X0,X1,X2)
| ~ p__d__disjoint(X1,X2) )
& ( p__d__disjoint(X1,X2)
| ~ p__d__disjointDecomposition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( ( p__d__disjointDecomposition4(X3,X4,X5,X6)
| ~ p__d__disjoint(X4,X5)
| ~ p__d__disjoint(X4,X6)
| ~ p__d__disjoint(X5,X6) )
& ( ( p__d__disjoint(X4,X5)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X5,X6) )
| ~ p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( ( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
| ~ p__d__disjoint(X8,X9)
| ~ p__d__disjoint(X8,X10)
| ~ p__d__disjoint(X8,X11)
| ~ p__d__disjoint(X9,X10)
| ~ p__d__disjoint(X9,X11)
| ~ p__d__disjoint(X10,X11) )
& ( ( p__d__disjoint(X8,X9)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X10,X11) )
| ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( ( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__disjoint(X13,X14)
| ~ p__d__disjoint(X13,X15)
| ~ p__d__disjoint(X13,X16)
| ~ p__d__disjoint(X13,X17)
| ~ p__d__disjoint(X14,X15)
| ~ p__d__disjoint(X14,X16)
| ~ p__d__disjoint(X14,X17)
| ~ p__d__disjoint(X15,X16)
| ~ p__d__disjoint(X15,X17)
| ~ p__d__disjoint(X16,X17) )
& ( ( p__d__disjoint(X13,X14)
& p__d__disjoint(X13,X15)
& p__d__disjoint(X13,X16)
& p__d__disjoint(X13,X17)
& p__d__disjoint(X14,X15)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X16,X17) )
| ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( ( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__disjoint(X19,X20)
| ~ p__d__disjoint(X19,X21)
| ~ p__d__disjoint(X19,X22)
| ~ p__d__disjoint(X19,X23)
| ~ p__d__disjoint(X19,X24)
| ~ p__d__disjoint(X20,X21)
| ~ p__d__disjoint(X20,X22)
| ~ p__d__disjoint(X20,X23)
| ~ p__d__disjoint(X20,X24)
| ~ p__d__disjoint(X21,X22)
| ~ p__d__disjoint(X21,X23)
| ~ p__d__disjoint(X21,X24)
| ~ p__d__disjoint(X22,X23)
| ~ p__d__disjoint(X22,X24)
| ~ p__d__disjoint(X23,X24) )
& ( ( p__d__disjoint(X19,X20)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X22)
& p__d__disjoint(X19,X23)
& p__d__disjoint(X19,X24)
& p__d__disjoint(X20,X21)
& p__d__disjoint(X20,X22)
& p__d__disjoint(X20,X23)
& p__d__disjoint(X20,X24)
& p__d__disjoint(X21,X22)
& p__d__disjoint(X21,X23)
& p__d__disjoint(X21,X24)
& p__d__disjoint(X22,X23)
& p__d__disjoint(X22,X24)
& p__d__disjoint(X23,X24) )
| ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(flattening,[],[f11171]) ).
fof(f11922,plain,
p__d__instance(sK13,c__Increasing),
inference(cnf_transformation,[],[f10593]) ).
fof(f11923,plain,
p__d__instance(sK12,c__Decreasing),
inference(cnf_transformation,[],[f10593]) ).
fof(f11924,plain,
sK12 = sK13,
inference(cnf_transformation,[],[f10593]) ).
fof(f11932,plain,
p__d__partition3(c__QuantityChange,c__Increasing,c__Decreasing),
inference(cnf_transformation,[],[f1666]) ).
fof(f12031,plain,
! [X3,X0,X1] :
( ~ p__d__disjoint(X0,X1)
| ~ p__d__instance(X3,X1)
| ~ p__d__instance(X3,X0) ),
inference(cnf_transformation,[],[f10611]) ).
fof(f13852,plain,
! [X2,X0,X1] :
( p__d__disjointDecomposition3(X0,X1,X2)
| ~ p__d__partition3(X0,X1,X2) ),
inference(cnf_transformation,[],[f10962]) ).
fof(f15076,plain,
! [X2,X0,X1] :
( ~ p__d__disjointDecomposition3(X0,X1,X2)
| p__d__disjoint(X1,X2) ),
inference(cnf_transformation,[],[f11172]) ).
fof(f19848,plain,
p__d__instance(sK13,c__Decreasing),
inference(definition_unfolding,[],[f11923,f11924]) ).
fof(f20294,plain,
! [X2,X0,X1] :
( ~ p__d__partition3(X2,X0,X1)
| p__d__disjoint(X0,X1) ),
inference(resolution,[],[f15076,f13852]) ).
fof(f20296,plain,
p__d__disjoint(c__Increasing,c__Decreasing),
inference(resolution,[],[f11932,f20294]) ).
fof(f20297,plain,
$false,
inference(unit_resulting_resolution,[],[f12031,f11922,f19848,f20296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR157+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 23:38:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 11.55/2.41 % (383563)Detected formulas, will run a generic FOF schedule.
% 11.55/2.41 % (383572)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3496837615:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.55/2.41 % (383572)Instruction limit reached!
% 11.55/2.41 % (383572)------------------------------
% 11.55/2.41 % (383572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.55/2.41 % (383572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.55/2.41 % (383572)CaDiCaL version: 2.1.3
% 11.55/2.41 % (383572)Termination reason: Instruction limit
% 11.55/2.41 % (383572)Termination phase: Saturation
% 11.55/2.41 % (383572)Time elapsed: 0.032 s
% 11.55/2.41 % (383572)Peak memory usage: 93 MB
% 11.55/2.41 % (383572)Instructions burned: 121 (million)
% 11.55/2.41 % (383569)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=4113878643:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.55/2.41 % (383574)dis-21_1_sil=8000:lcm=predicate:random_seed=4099296402:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 11.55/2.41 % (383568)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=1645690841:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.55/2.41 % (383571)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1656893057:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.55/2.41 % (383570)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=3171236919:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.55/2.41 % (383573)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3716902709:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.55/2.41 % (383571)Refutation not found, incomplete strategy
% 11.55/2.41 % (383571)------------------------------
% 11.55/2.41 % (383571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.55/2.41 % (383571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.55/2.41 % (383571)CaDiCaL version: 2.1.3
% 11.55/2.41 % (383571)Termination reason: Refutation not found, incomplete strategy
% 11.55/2.41 % (383571)Time elapsed: 0.017 s
% 11.55/2.41 % (383571)Peak memory usage: 94 MB
% 11.55/2.41 % (383571)Instructions burned: 24 (million)
% 11.55/2.41 % (383574)Instruction limit reached!
% 11.55/2.41 % (383574)------------------------------
% 11.55/2.41 % (383574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.55/2.41 % (383574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.55/2.41 % (383574)CaDiCaL version: 2.1.3
% 11.55/2.41 % (383574)Termination reason: Instruction limit
% 11.55/2.41 % (383574)Termination phase: Saturation
% 11.55/2.41 % (383574)Time elapsed: 0.076 s
% 11.55/2.41 % (383574)Peak memory usage: 96 MB
% 11.55/2.41 % (383574)Instructions burned: 131 (million)
% 11.55/2.41 % (383573)Instruction limit reached!
% 11.55/2.41 % (383573)------------------------------
% 11.55/2.41 % (383573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.55/2.41 % (383573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.55/2.41 % (383573)CaDiCaL version: 2.1.3
% 11.55/2.41 % (383573)Termination reason: Instruction limit
% 11.55/2.41 % (383573)Termination phase: Preprocessing 3
% 11.55/2.41 % (383573)Time elapsed: 0.087 s
% 11.55/2.41 % (383573)Peak memory usage: 94 MB
% 11.55/2.41 % (383573)Instructions burned: 140 (million)
% 11.55/2.41 % (383576)lrs+10_1_sil=8000:sp=occurrence:random_seed=115782999:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.55/2.41 % (383576)Instruction limit reached!
% 11.55/2.41 % (383576)------------------------------
% 11.55/2.41 % (383576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.55/2.41 % (383576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.55/2.41 % (383576)CaDiCaL version: 2.1.3
% 11.55/2.41 % (383576)Termination reason: Instruction limit
% 11.55/2.41 % (383576)Termination phase: Saturation
% 11.55/2.41 % (383576)Time elapsed: 0.092 s
% 11.55/2.41 % (383576)Peak memory usage: 97 MB
% 11.55/2.41 % (383576)Instructions burned: 287 (million)
% 11.55/2.41 % (383584)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3762819230:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.71/2.86 % (383583)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1586028327:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 13.71/2.86 % (383571)------------------------------
% 13.71/2.86 % (383571)------------------------------
% 13.71/2.86 % (383584)Refutation not found, incomplete strategy
% 13.71/2.86 % (383584)------------------------------
% 13.71/2.86 % (383584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/2.86 % (383584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.86 % (383584)CaDiCaL version: 2.1.3
% 13.71/2.86 % (383584)Termination reason: Refutation not found, incomplete strategy
% 13.71/2.86 % (383584)Time elapsed: 0.017 s
% 13.71/2.86 % (383584)Peak memory usage: 94 MB
% 13.71/2.86 % (383584)Instructions burned: 21 (million)
% 13.71/2.86 % (383583)Refutation not found, incomplete strategy
% 13.71/2.86 % (383583)------------------------------
% 13.71/2.86 % (383583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/2.86 % (383583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.86 % (383583)CaDiCaL version: 2.1.3
% 13.71/2.86 % (383583)Termination reason: Refutation not found, incomplete strategy
% 13.71/2.86 % (383583)Time elapsed: 0.033 s
% 13.71/2.86 % (383583)Peak memory usage: 94 MB
% 13.71/2.86 % (383583)Instructions burned: 60 (million)
% 13.71/2.86 % (383586)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=3011496446:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 13.71/2.86 % (383586)Instruction limit reached!
% 13.71/2.86 % (383586)------------------------------
% 13.71/2.86 % (383586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/2.86 % (383586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.86 % (383586)CaDiCaL version: 2.1.3
% 13.71/2.86 % (383586)Termination reason: Instruction limit
% 13.71/2.86 % (383586)Termination phase: Saturation
% 13.71/2.86 % (383586)Time elapsed: 0.076 s
% 13.71/2.86 % (383586)Peak memory usage: 98 MB
% 13.71/2.86 % (383586)Instructions burned: 250 (million)
% 13.71/2.86 % (383589)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3461073785:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 13.71/2.86 % (383589)Refutation not found, incomplete strategy
% 13.71/2.86 % (383589)------------------------------
% 13.71/2.86 % (383589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/2.86 % (383589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.86 % (383589)CaDiCaL version: 2.1.3
% 13.71/2.86 % (383589)Termination reason: Refutation not found, incomplete strategy
% 13.71/2.86 % (383589)Time elapsed: 0.023 s
% 13.71/2.86 % (383589)Peak memory usage: 94 MB
% 13.71/2.86 % (383589)Instructions burned: 33 (million)
% 13.71/2.86 % (383584)------------------------------
% 13.71/2.86 % (383584)------------------------------
% 13.71/2.86 % (383583)------------------------------
% 13.71/2.86 % (383583)------------------------------
% 13.71/2.86 % (383591)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3014780650:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.71/2.86 % (383570)Refutation not found, incomplete strategy
% 13.71/2.86 % (383570)------------------------------
% 13.71/2.86 % (383570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/2.86 % (383570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.86 % (383570)CaDiCaL version: 2.1.3
% 13.71/2.86 % (383570)Termination reason: Refutation not found, incomplete strategy
% 13.71/2.86 % (383570)Time elapsed: 0.650 s
% 13.71/2.86 % (383570)Peak memory usage: 145 MB
% 13.71/2.86 % (383570)Instructions burned: 958 (million)
% 13.71/2.86 % (383593)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3480540692:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 13.71/2.86 % (383594)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2666911861:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.71/2.86 % (383589)------------------------------
% 13.71/2.86 % (383589)------------------------------
% 13.71/2.86 % (383593)Instruction limit reached!
% 13.71/2.86 % (383593)------------------------------
% 13.71/2.86 % (383593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383593)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383593)Termination reason: Instruction limit
% 17.73/3.34 % (383593)Termination phase: Saturation
% 17.73/3.34 % (383593)Time elapsed: 0.058 s
% 17.73/3.34 % (383593)Peak memory usage: 94 MB
% 17.73/3.34 % (383593)Instructions burned: 114 (million)
% 17.73/3.34 % (383594)Instruction limit reached!
% 17.73/3.34 % (383594)------------------------------
% 17.73/3.34 % (383594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383594)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383594)Termination reason: Instruction limit
% 17.73/3.34 % (383594)Termination phase: Property scanning
% 17.73/3.34 % (383594)Time elapsed: 0.078 s
% 17.73/3.34 % (383594)Peak memory usage: 96 MB
% 17.73/3.34 % (383594)Instructions burned: 127 (million)
% 17.73/3.34 % (383598)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3377241077:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 17.73/3.34 % (383570)------------------------------
% 17.73/3.34 % (383570)------------------------------
% 17.73/3.34 % (383599)lrs+10_1_sil=8000:sp=occurrence:random_seed=640098179:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 17.73/3.34 % (383598)Instruction limit reached!
% 17.73/3.34 % (383598)------------------------------
% 17.73/3.34 % (383598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383598)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383598)Termination reason: Instruction limit
% 17.73/3.34 % (383598)Termination phase: Property scanning
% 17.73/3.34 % (383598)Time elapsed: 0.063 s
% 17.73/3.34 % (383598)Peak memory usage: 92 MB
% 17.73/3.34 % (383598)Instructions burned: 115 (million)
% 17.73/3.34 % (383600)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2120069640:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 17.73/3.34 % (383600)Refutation not found, incomplete strategy
% 17.73/3.34 % (383600)------------------------------
% 17.73/3.34 % (383600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383600)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383600)Termination reason: Refutation not found, incomplete strategy
% 17.73/3.34 % (383600)Time elapsed: 0.016 s
% 17.73/3.34 % (383600)Peak memory usage: 94 MB
% 17.73/3.34 % (383600)Instructions burned: 19 (million)
% 17.73/3.34 % (383603)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2286211918:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 17.73/3.34 % (383604)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2388828024:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 17.73/3.34 % (383604)Refutation not found, incomplete strategy
% 17.73/3.34 % (383604)------------------------------
% 17.73/3.34 % (383604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383604)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383604)Termination reason: Refutation not found, incomplete strategy
% 17.73/3.34 % (383604)Time elapsed: 0.018 s
% 17.73/3.34 % (383604)Peak memory usage: 94 MB
% 17.73/3.34 % (383604)Instructions burned: 24 (million)
% 17.73/3.34 % (383600)------------------------------
% 17.73/3.34 % (383600)------------------------------
% 17.73/3.34 % (383604)------------------------------
% 17.73/3.34 % (383604)------------------------------
% 17.73/3.34 % (383608)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4014446170:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 17.73/3.34 % (383591)Instruction limit reached!
% 17.73/3.34 % (383591)------------------------------
% 17.73/3.34 % (383591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383591)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383591)Termination reason: Instruction limit
% 17.73/3.34 % (383591)Termination phase: Saturation
% 17.73/3.34 % (383591)Time elapsed: 0.874 s
% 17.73/3.34 % (383591)Peak memory usage: 213 MB
% 17.73/3.34 % (383591)Instructions burned: 2353 (million)
% 17.73/3.34 % (383599)Instruction limit reached!
% 17.73/3.34 % (383599)------------------------------
% 17.73/3.34 % (383599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383599)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383599)Termination reason: Instruction limit
% 17.73/3.34 % (383599)Termination phase: Saturation
% 17.73/3.34 % (383599)Time elapsed: 0.509 s
% 17.73/3.34 % (383599)Peak memory usage: 105 MB
% 17.73/3.34 % (383599)Instructions burned: 908 (million)
% 17.73/3.34 % (383608)Refutation not found, incomplete strategy
% 17.73/3.34 % (383608)------------------------------
% 17.73/3.34 % (383608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383608)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383608)Termination reason: Refutation not found, incomplete strategy
% 17.73/3.34 % (383608)Time elapsed: 0.041 s
% 17.73/3.34 % (383608)Peak memory usage: 95 MB
% 17.73/3.34 % (383608)Instructions burned: 66 (million)
% 17.73/3.34 % (383611)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=3013156703:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 17.73/3.34 % (383609)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=677741962:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 17.73/3.34 % (383611)Instruction limit reached!
% 17.73/3.34 % (383611)------------------------------
% 17.73/3.34 % (383611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383611)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383611)Termination reason: Instruction limit
% 17.73/3.34 % (383611)Termination phase: Preprocessing 3
% 17.73/3.34 % (383611)Time elapsed: 0.043 s
% 17.73/3.34 % (383611)Peak memory usage: 93 MB
% 17.73/3.34 % (383611)Instructions burned: 126 (million)
% 17.73/3.34 % (383612)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1764669264:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 17.73/3.34 % (383612)Instruction limit reached!
% 17.73/3.34 % (383612)------------------------------
% 17.73/3.34 % (383612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383612)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383612)Termination reason: Instruction limit
% 17.73/3.34 % (383612)Termination phase: Preprocessing 2
% 17.73/3.34 % (383612)Time elapsed: 0.071 s
% 17.73/3.34 % (383612)Peak memory usage: 92 MB
% 17.73/3.34 % (383612)Instructions burned: 135 (million)
% 17.73/3.34 % (383608)------------------------------
% 17.73/3.34 % (383608)------------------------------
% 17.73/3.34 % (383616)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4087540620:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 17.73/3.34 % (383616)Refutation not found, incomplete strategy
% 17.73/3.34 % (383616)------------------------------
% 17.73/3.34 % (383616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383616)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383616)Termination reason: Refutation not found, incomplete strategy
% 17.73/3.34 % (383616)Time elapsed: 0.010 s
% 17.73/3.34 % (383616)Peak memory usage: 94 MB
% 17.73/3.34 % (383616)Instructions burned: 24 (million)
% 17.73/3.34 % (383617)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2818311202:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 17.73/3.34 % (383617)Refutation not found, incomplete strategy
% 17.73/3.34 % (383617)------------------------------
% 17.73/3.34 % (383617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383617)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383617)Termination reason: Refutation not found, incomplete strategy
% 17.73/3.34 % (383617)Time elapsed: 0.017 s
% 17.73/3.34 % (383617)Peak memory usage: 94 MB
% 17.73/3.34 % (383617)Instructions burned: 20 (million)
% 17.73/3.34 % (383618)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=1724150193:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 17.73/3.34 % (383616)------------------------------
% 17.73/3.34 % (383616)------------------------------
% 17.73/3.34 % (383622)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=3217509468:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2977 on theBenchmark for (2977ds/150Mi)
% 17.73/3.34 % (383569)First to succeed.
% 17.73/3.34 % (383569)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-383563"
% 17.73/3.34 % (383617)------------------------------
% 17.73/3.34 % (383617)------------------------------
% 17.73/3.34 % (383622)Instruction limit reached!
% 17.73/3.34 % (383622)------------------------------
% 17.73/3.34 % (383622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.34 % (383622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.34 % (383622)CaDiCaL version: 2.1.3
% 17.73/3.34 % (383622)Termination reason: Instruction limit
% 17.73/3.34 % (383622)Termination phase: Property scanning
% 17.73/3.34 % (383622)Time elapsed: 0.093 s
% 17.73/3.34 % (383622)Peak memory usage: 96 MB
% 17.73/3.34 % (383622)Instructions burned: 151 (million)
% 17.73/3.34 % (383624)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=444839600:i=14155:bd=all_2975 on theBenchmark for (2975ds/14155Mi)
% 17.73/3.34 % (383625)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=669955214:i=667:av=off:fsr=off_2975 on theBenchmark for (2975ds/667Mi)
% 17.73/3.34 % (383569)Refutation found. Thanks to Tanya!
% 17.73/3.34 % SZS status Theorem for theBenchmark
% 17.73/3.34 % SZS output start Proof for theBenchmark
% See solution above
% 18.54/3.54 % (383569)------------------------------
% 18.54/3.54 % (383569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.54/3.54 % (383569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.54/3.54 % (383569)CaDiCaL version: 2.1.3
% 18.54/3.54 % (383569)Termination reason: Refutation
% 18.54/3.54 % (383569)Time elapsed: 2.062 s
% 18.54/3.54 % (383569)Peak memory usage: 209 MB
% 18.54/3.54 % (383569)Instructions burned: 3417 (million)
% 18.54/3.54 % (383569)------------------------------
% 18.54/3.54 % (383569)------------------------------
% 18.54/3.54 % (383563)Success in time 2.669 s
% 18.54/3.54 % Vampire exiting
%------------------------------------------------------------------------------