%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR191+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 : n011.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 09:44:03 AM UTC 2026
% Result : Theorem 10.64s 3.14s
% Output : Refutation 17.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 91 ( 28 unt; 14 def)
% Number of atoms : 601 ( 0 equ)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 845 ( 335 ~; 258 |; 192 &)
% ( 23 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 251 ( 242 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( ( p__d__instance(X0,X1)
& p__d__subclass(X1,X2) )
=> p__d__instance(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA12) ).
fof(f61,axiom,
( ! [X0,X1] :
( ( p__d__instance(X1,c__Attribute)
& p__d__instance(X0,c__Attribute) )
=> ( p__contraryAttribute2(X0,X1)
<=> ( ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X0) )
=> ~ p__attribute(X2,X1) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X1) )
=> ~ p__attribute(X2,X0) ) ) ) )
& ! [X0,X1,X3,X4] :
( ( p__d__instance(X4,c__Attribute)
& p__d__instance(X3,c__Attribute)
& p__d__instance(X1,c__Attribute)
& p__d__instance(X0,c__Attribute) )
=> ( p__contraryAttribute4(X0,X1,X3,X4)
<=> ( ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X0) )
=> ~ p__attribute(X2,X1) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X1) )
=> ~ p__attribute(X2,X0) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X0) )
=> ~ p__attribute(X2,X3) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X3) )
=> ~ p__attribute(X2,X0) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X0) )
=> ~ p__attribute(X2,X4) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X4) )
=> ~ p__attribute(X2,X0) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X1) )
=> ~ p__attribute(X2,X3) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X3) )
=> ~ p__attribute(X2,X1) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X1) )
=> ~ p__attribute(X2,X4) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X4) )
=> ~ p__attribute(X2,X1) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X3) )
=> ~ p__attribute(X2,X4) )
& ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X4) )
=> ~ p__attribute(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA90) ).
fof(f2584,axiom,
p__contraryAttribute4(c__Solid,c__Liquid,c__Gas,c__Plasma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA3561) ).
fof(f2588,axiom,
p__subAttribute(c__Liquid,c__Fluid),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA3566) ).
fof(f2589,axiom,
! [X0] :
( p__d__instance(X0,c__Solution)
=> p__attribute(X0,c__Liquid) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA3567) ).
fof(f2591,axiom,
p__subAttribute(c__Gas,c__Fluid),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA3569) ).
fof(f2594,axiom,
p__subAttribute(c__Plasma,c__Fluid),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA3572) ).
fof(f2879,axiom,
p__d__subclass(c__PetroleumProduct,c__Oil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA258) ).
fof(f2882,axiom,
p__d__subclass(c__FossilFuel,c__PetroleumProduct),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA261) ).
fof(f3743,axiom,
p__d__subclass(c__Oil,c__Solution),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA1360) ).
fof(f4796,axiom,
! [X0] :
( p__d__instance(X0,c__Rock)
=> p__attribute(X0,c__Solid) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA2590) ).
fof(f6855,axiom,
! [X0,X1] :
( p__subAttribute(X0,X1)
=> ( p__d__instance(X1,c__Attribute)
& p__d__instance(X0,c__Attribute) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',typeA2) ).
fof(f6921,axiom,
! [X0,X1] :
( p__attribute(X0,X1)
=> ( p__d__instance(X1,c__Attribute)
& p__d__instance(X0,c__Object) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',typeA68) ).
fof(f7433,conjecture,
~ ? [X0] :
( p__d__instance(X0,c__FossilFuel)
& p__d__instance(X0,c__Mineral)
& p__d__instance(X0,c__Rock) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negatedMultipleMapping0150) ).
fof(f7434,negated_conjecture,
~ ~ ? [X0] :
( p__d__instance(X0,c__FossilFuel)
& p__d__instance(X0,c__Mineral)
& p__d__instance(X0,c__Rock) ),
inference(negated_conjecture,[status(cth)],[f7433]) ).
fof(f7435,plain,
? [X0] :
( p__d__instance(X0,c__FossilFuel)
& p__d__instance(X0,c__Mineral)
& p__d__instance(X0,c__Rock) ),
inference(flattening,[],[f7434]) ).
fof(f7436,plain,
( ! [X0,X1] :
( ( p__d__instance(X1,c__Attribute)
& p__d__instance(X0,c__Attribute) )
=> ( p__contraryAttribute2(X0,X1)
<=> ( ! [X2] :
( ( p__d__instance(X2,c__Object)
& p__attribute(X2,X0) )
=> ~ p__attribute(X2,X1) )
& ! [X3] :
( ( p__d__instance(X3,c__Object)
& p__attribute(X3,X1) )
=> ~ p__attribute(X3,X0) ) ) ) )
& ! [X4,X5,X6,X7] :
( ( p__d__instance(X7,c__Attribute)
& p__d__instance(X6,c__Attribute)
& p__d__instance(X5,c__Attribute)
& p__d__instance(X4,c__Attribute) )
=> ( p__contraryAttribute4(X4,X5,X6,X7)
<=> ( ! [X8] :
( ( p__d__instance(X8,c__Object)
& p__attribute(X8,X4) )
=> ~ p__attribute(X8,X5) )
& ! [X9] :
( ( p__d__instance(X9,c__Object)
& p__attribute(X9,X5) )
=> ~ p__attribute(X9,X4) )
& ! [X10] :
( ( p__d__instance(X10,c__Object)
& p__attribute(X10,X4) )
=> ~ p__attribute(X10,X6) )
& ! [X11] :
( ( p__d__instance(X11,c__Object)
& p__attribute(X11,X6) )
=> ~ p__attribute(X11,X4) )
& ! [X12] :
( ( p__d__instance(X12,c__Object)
& p__attribute(X12,X4) )
=> ~ p__attribute(X12,X7) )
& ! [X13] :
( ( p__d__instance(X13,c__Object)
& p__attribute(X13,X7) )
=> ~ p__attribute(X13,X4) )
& ! [X14] :
( ( p__d__instance(X14,c__Object)
& p__attribute(X14,X5) )
=> ~ p__attribute(X14,X6) )
& ! [X15] :
( ( p__d__instance(X15,c__Object)
& p__attribute(X15,X6) )
=> ~ p__attribute(X15,X5) )
& ! [X16] :
( ( p__d__instance(X16,c__Object)
& p__attribute(X16,X5) )
=> ~ p__attribute(X16,X7) )
& ! [X17] :
( ( p__d__instance(X17,c__Object)
& p__attribute(X17,X7) )
=> ~ p__attribute(X17,X5) )
& ! [X18] :
( ( p__d__instance(X18,c__Object)
& p__attribute(X18,X6) )
=> ~ p__attribute(X18,X7) )
& ! [X19] :
( ( p__d__instance(X19,c__Object)
& p__attribute(X19,X7) )
=> ~ p__attribute(X19,X6) ) ) ) ) ),
inference(rectify,[],[f61]) ).
fof(f7455,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f7456,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7455]) ).
fof(f7461,plain,
! [X0] :
( p__attribute(X0,c__Solid)
| ~ p__d__instance(X0,c__Rock) ),
inference(ennf_transformation,[],[f4796]) ).
fof(f7512,plain,
! [X0,X1] :
( ( p__d__instance(X1,c__Attribute)
& p__d__instance(X0,c__Object) )
| ~ p__attribute(X0,X1) ),
inference(ennf_transformation,[],[f6921]) ).
fof(f7513,plain,
! [X0,X1] :
( ( p__d__instance(X1,c__Attribute)
& p__d__instance(X0,c__Attribute) )
| ~ p__subAttribute(X0,X1) ),
inference(ennf_transformation,[],[f6855]) ).
fof(f7534,plain,
( ! [X0,X1] :
( ( p__contraryAttribute2(X0,X1)
<=> ( ! [X2] :
( ~ p__attribute(X2,X1)
| ~ p__d__instance(X2,c__Object)
| ~ p__attribute(X2,X0) )
& ! [X3] :
( ~ p__attribute(X3,X0)
| ~ p__d__instance(X3,c__Object)
| ~ p__attribute(X3,X1) ) ) )
| ~ p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X0,c__Attribute) )
& ! [X4,X5,X6,X7] :
( ( p__contraryAttribute4(X4,X5,X6,X7)
<=> ( ! [X8] :
( ~ p__attribute(X8,X5)
| ~ p__d__instance(X8,c__Object)
| ~ p__attribute(X8,X4) )
& ! [X9] :
( ~ p__attribute(X9,X4)
| ~ p__d__instance(X9,c__Object)
| ~ p__attribute(X9,X5) )
& ! [X10] :
( ~ p__attribute(X10,X6)
| ~ p__d__instance(X10,c__Object)
| ~ p__attribute(X10,X4) )
& ! [X11] :
( ~ p__attribute(X11,X4)
| ~ p__d__instance(X11,c__Object)
| ~ p__attribute(X11,X6) )
& ! [X12] :
( ~ p__attribute(X12,X7)
| ~ p__d__instance(X12,c__Object)
| ~ p__attribute(X12,X4) )
& ! [X13] :
( ~ p__attribute(X13,X4)
| ~ p__d__instance(X13,c__Object)
| ~ p__attribute(X13,X7) )
& ! [X14] :
( ~ p__attribute(X14,X6)
| ~ p__d__instance(X14,c__Object)
| ~ p__attribute(X14,X5) )
& ! [X15] :
( ~ p__attribute(X15,X5)
| ~ p__d__instance(X15,c__Object)
| ~ p__attribute(X15,X6) )
& ! [X16] :
( ~ p__attribute(X16,X7)
| ~ p__d__instance(X16,c__Object)
| ~ p__attribute(X16,X5) )
& ! [X17] :
( ~ p__attribute(X17,X5)
| ~ p__d__instance(X17,c__Object)
| ~ p__attribute(X17,X7) )
& ! [X18] :
( ~ p__attribute(X18,X7)
| ~ p__d__instance(X18,c__Object)
| ~ p__attribute(X18,X6) )
& ! [X19] :
( ~ p__attribute(X19,X6)
| ~ p__d__instance(X19,c__Object)
| ~ p__attribute(X19,X7) ) ) )
| ~ p__d__instance(X7,c__Attribute)
| ~ p__d__instance(X6,c__Attribute)
| ~ p__d__instance(X5,c__Attribute)
| ~ p__d__instance(X4,c__Attribute) ) ),
inference(ennf_transformation,[],[f7436]) ).
fof(f7535,plain,
( ! [X0,X1] :
( ( p__contraryAttribute2(X0,X1)
<=> ( ! [X2] :
( ~ p__attribute(X2,X1)
| ~ p__d__instance(X2,c__Object)
| ~ p__attribute(X2,X0) )
& ! [X3] :
( ~ p__attribute(X3,X0)
| ~ p__d__instance(X3,c__Object)
| ~ p__attribute(X3,X1) ) ) )
| ~ p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X0,c__Attribute) )
& ! [X4,X5,X6,X7] :
( ( p__contraryAttribute4(X4,X5,X6,X7)
<=> ( ! [X8] :
( ~ p__attribute(X8,X5)
| ~ p__d__instance(X8,c__Object)
| ~ p__attribute(X8,X4) )
& ! [X9] :
( ~ p__attribute(X9,X4)
| ~ p__d__instance(X9,c__Object)
| ~ p__attribute(X9,X5) )
& ! [X10] :
( ~ p__attribute(X10,X6)
| ~ p__d__instance(X10,c__Object)
| ~ p__attribute(X10,X4) )
& ! [X11] :
( ~ p__attribute(X11,X4)
| ~ p__d__instance(X11,c__Object)
| ~ p__attribute(X11,X6) )
& ! [X12] :
( ~ p__attribute(X12,X7)
| ~ p__d__instance(X12,c__Object)
| ~ p__attribute(X12,X4) )
& ! [X13] :
( ~ p__attribute(X13,X4)
| ~ p__d__instance(X13,c__Object)
| ~ p__attribute(X13,X7) )
& ! [X14] :
( ~ p__attribute(X14,X6)
| ~ p__d__instance(X14,c__Object)
| ~ p__attribute(X14,X5) )
& ! [X15] :
( ~ p__attribute(X15,X5)
| ~ p__d__instance(X15,c__Object)
| ~ p__attribute(X15,X6) )
& ! [X16] :
( ~ p__attribute(X16,X7)
| ~ p__d__instance(X16,c__Object)
| ~ p__attribute(X16,X5) )
& ! [X17] :
( ~ p__attribute(X17,X5)
| ~ p__d__instance(X17,c__Object)
| ~ p__attribute(X17,X7) )
& ! [X18] :
( ~ p__attribute(X18,X7)
| ~ p__d__instance(X18,c__Object)
| ~ p__attribute(X18,X6) )
& ! [X19] :
( ~ p__attribute(X19,X6)
| ~ p__d__instance(X19,c__Object)
| ~ p__attribute(X19,X7) ) ) )
| ~ p__d__instance(X7,c__Attribute)
| ~ p__d__instance(X6,c__Attribute)
| ~ p__d__instance(X5,c__Attribute)
| ~ p__d__instance(X4,c__Attribute) ) ),
inference(flattening,[],[f7534]) ).
fof(f7537,plain,
! [X0] :
( p__attribute(X0,c__Liquid)
| ~ p__d__instance(X0,c__Solution) ),
inference(ennf_transformation,[],[f2589]) ).
fof(f7550,definition,
! [X6,X7] :
( sP0(X6,X7)
<=> ! [X19] :
( ~ p__attribute(X19,X6)
| ~ p__d__instance(X19,c__Object)
| ~ p__attribute(X19,X7) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f7551,definition,
! [X7,X6] :
( sP1(X7,X6)
<=> ! [X18] :
( ~ p__attribute(X18,X7)
| ~ p__d__instance(X18,c__Object)
| ~ p__attribute(X18,X6) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f7552,definition,
! [X5,X7] :
( sP2(X5,X7)
<=> ! [X17] :
( ~ p__attribute(X17,X5)
| ~ p__d__instance(X17,c__Object)
| ~ p__attribute(X17,X7) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f7553,definition,
! [X7,X5] :
( sP3(X7,X5)
<=> ! [X16] :
( ~ p__attribute(X16,X7)
| ~ p__d__instance(X16,c__Object)
| ~ p__attribute(X16,X5) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f7554,definition,
! [X5,X6] :
( sP4(X5,X6)
<=> ! [X15] :
( ~ p__attribute(X15,X5)
| ~ p__d__instance(X15,c__Object)
| ~ p__attribute(X15,X6) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f7555,definition,
! [X6,X5] :
( sP5(X6,X5)
<=> ! [X14] :
( ~ p__attribute(X14,X6)
| ~ p__d__instance(X14,c__Object)
| ~ p__attribute(X14,X5) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f7556,definition,
! [X4,X7] :
( sP6(X4,X7)
<=> ! [X13] :
( ~ p__attribute(X13,X4)
| ~ p__d__instance(X13,c__Object)
| ~ p__attribute(X13,X7) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f7557,definition,
! [X7,X4] :
( sP7(X7,X4)
<=> ! [X12] :
( ~ p__attribute(X12,X7)
| ~ p__d__instance(X12,c__Object)
| ~ p__attribute(X12,X4) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f7558,definition,
! [X4,X6] :
( sP8(X4,X6)
<=> ! [X11] :
( ~ p__attribute(X11,X4)
| ~ p__d__instance(X11,c__Object)
| ~ p__attribute(X11,X6) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f7559,definition,
! [X6,X4] :
( sP9(X6,X4)
<=> ! [X10] :
( ~ p__attribute(X10,X6)
| ~ p__d__instance(X10,c__Object)
| ~ p__attribute(X10,X4) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f7560,definition,
! [X4,X5] :
( sP10(X4,X5)
<=> ! [X9] :
( ~ p__attribute(X9,X4)
| ~ p__d__instance(X9,c__Object)
| ~ p__attribute(X9,X5) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f7561,definition,
! [X5,X4,X6,X7] :
( sP11(X5,X4,X6,X7)
<=> ( ! [X8] :
( ~ p__attribute(X8,X5)
| ~ p__d__instance(X8,c__Object)
| ~ p__attribute(X8,X4) )
& sP10(X4,X5)
& sP9(X6,X4)
& sP8(X4,X6)
& sP7(X7,X4)
& sP6(X4,X7)
& sP5(X6,X5)
& sP4(X5,X6)
& sP3(X7,X5)
& sP2(X5,X7)
& sP1(X7,X6)
& sP0(X6,X7) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f7562,definition,
! [X7,X6,X4,X5] :
( ( p__contraryAttribute4(X4,X5,X6,X7)
<=> sP11(X5,X4,X6,X7) )
| ~ sP12(X7,X6,X4,X5) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f7563,definition,
! [X0,X1] :
( sP13(X0,X1)
<=> ! [X3] :
( ~ p__attribute(X3,X0)
| ~ p__d__instance(X3,c__Object)
| ~ p__attribute(X3,X1) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f7564,plain,
( ! [X0,X1] :
( ( p__contraryAttribute2(X0,X1)
<=> ( ! [X2] :
( ~ p__attribute(X2,X1)
| ~ p__d__instance(X2,c__Object)
| ~ p__attribute(X2,X0) )
& sP13(X0,X1) ) )
| ~ p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X0,c__Attribute) )
& ! [X4,X5,X6,X7] :
( sP12(X7,X6,X4,X5)
| ~ p__d__instance(X7,c__Attribute)
| ~ p__d__instance(X6,c__Attribute)
| ~ p__d__instance(X5,c__Attribute)
| ~ p__d__instance(X4,c__Attribute) ) ),
inference(definition_folding,[],[f7535,f7563,f7562,f7561,f7560,f7559,f7558,f7557,f7556,f7555,f7554,f7553,f7552,f7551,f7550]) ).
fof(f7565,plain,
( p__d__instance(sK14,c__FossilFuel)
& p__d__instance(sK14,c__Mineral)
& p__d__instance(sK14,c__Rock) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f7435]) ).
fof(f7599,plain,
! [X7,X6,X4,X5] :
( ( ( p__contraryAttribute4(X4,X5,X6,X7)
| ~ sP11(X5,X4,X6,X7) )
& ( sP11(X5,X4,X6,X7)
| ~ p__contraryAttribute4(X4,X5,X6,X7) ) )
| ~ sP12(X7,X6,X4,X5) ),
inference(nnf_transformation,[],[f7562]) ).
fof(f7600,plain,
! [X0,X1,X2,X3] :
( ( ( p__contraryAttribute4(X2,X3,X1,X0)
| ~ sP11(X3,X2,X1,X0) )
& ( sP11(X3,X2,X1,X0)
| ~ p__contraryAttribute4(X2,X3,X1,X0) ) )
| ~ sP12(X0,X1,X2,X3) ),
inference(rectify,[],[f7599]) ).
fof(f7601,plain,
! [X5,X4,X6,X7] :
( ( sP11(X5,X4,X6,X7)
| ? [X8] :
( p__attribute(X8,X5)
& p__d__instance(X8,c__Object)
& p__attribute(X8,X4) )
| ~ sP10(X4,X5)
| ~ sP9(X6,X4)
| ~ sP8(X4,X6)
| ~ sP7(X7,X4)
| ~ sP6(X4,X7)
| ~ sP5(X6,X5)
| ~ sP4(X5,X6)
| ~ sP3(X7,X5)
| ~ sP2(X5,X7)
| ~ sP1(X7,X6)
| ~ sP0(X6,X7) )
& ( ( ! [X8] :
( ~ p__attribute(X8,X5)
| ~ p__d__instance(X8,c__Object)
| ~ p__attribute(X8,X4) )
& sP10(X4,X5)
& sP9(X6,X4)
& sP8(X4,X6)
& sP7(X7,X4)
& sP6(X4,X7)
& sP5(X6,X5)
& sP4(X5,X6)
& sP3(X7,X5)
& sP2(X5,X7)
& sP1(X7,X6)
& sP0(X6,X7) )
| ~ sP11(X5,X4,X6,X7) ) ),
inference(nnf_transformation,[],[f7561]) ).
fof(f7602,plain,
! [X5,X4,X6,X7] :
( ( sP11(X5,X4,X6,X7)
| ? [X8] :
( p__attribute(X8,X5)
& p__d__instance(X8,c__Object)
& p__attribute(X8,X4) )
| ~ sP10(X4,X5)
| ~ sP9(X6,X4)
| ~ sP8(X4,X6)
| ~ sP7(X7,X4)
| ~ sP6(X4,X7)
| ~ sP5(X6,X5)
| ~ sP4(X5,X6)
| ~ sP3(X7,X5)
| ~ sP2(X5,X7)
| ~ sP1(X7,X6)
| ~ sP0(X6,X7) )
& ( ( ! [X8] :
( ~ p__attribute(X8,X5)
| ~ p__d__instance(X8,c__Object)
| ~ p__attribute(X8,X4) )
& sP10(X4,X5)
& sP9(X6,X4)
& sP8(X4,X6)
& sP7(X7,X4)
& sP6(X4,X7)
& sP5(X6,X5)
& sP4(X5,X6)
& sP3(X7,X5)
& sP2(X5,X7)
& sP1(X7,X6)
& sP0(X6,X7) )
| ~ sP11(X5,X4,X6,X7) ) ),
inference(flattening,[],[f7601]) ).
fof(f7603,plain,
! [X0,X1,X2,X3] :
( ( sP11(X0,X1,X2,X3)
| ? [X4] :
( p__attribute(X4,X0)
& p__d__instance(X4,c__Object)
& p__attribute(X4,X1) )
| ~ sP10(X1,X0)
| ~ sP9(X2,X1)
| ~ sP8(X1,X2)
| ~ sP7(X3,X1)
| ~ sP6(X1,X3)
| ~ sP5(X2,X0)
| ~ sP4(X0,X2)
| ~ sP3(X3,X0)
| ~ sP2(X0,X3)
| ~ sP1(X3,X2)
| ~ sP0(X2,X3) )
& ( ( ! [X5] :
( ~ p__attribute(X5,X0)
| ~ p__d__instance(X5,c__Object)
| ~ p__attribute(X5,X1) )
& sP10(X1,X0)
& sP9(X2,X1)
& sP8(X1,X2)
& sP7(X3,X1)
& sP6(X1,X3)
& sP5(X2,X0)
& sP4(X0,X2)
& sP3(X3,X0)
& sP2(X0,X3)
& sP1(X3,X2)
& sP0(X2,X3) )
| ~ sP11(X0,X1,X2,X3) ) ),
inference(rectify,[],[f7602]) ).
fof(f7604,plain,
! [X0,X1,X2,X3] :
( ( sP11(X0,X1,X2,X3)
| ( p__attribute(sK51(X0,X1),X0)
& p__d__instance(sK51(X0,X1),c__Object)
& p__attribute(sK51(X0,X1),X1) )
| ~ sP10(X1,X0)
| ~ sP9(X2,X1)
| ~ sP8(X1,X2)
| ~ sP7(X3,X1)
| ~ sP6(X1,X3)
| ~ sP5(X2,X0)
| ~ sP4(X0,X2)
| ~ sP3(X3,X0)
| ~ sP2(X0,X3)
| ~ sP1(X3,X2)
| ~ sP0(X2,X3) )
& ( ( ! [X5] :
( ~ p__attribute(X5,X0)
| ~ p__d__instance(X5,c__Object)
| ~ p__attribute(X5,X1) )
& sP10(X1,X0)
& sP9(X2,X1)
& sP8(X1,X2)
& sP7(X3,X1)
& sP6(X1,X3)
& sP5(X2,X0)
& sP4(X0,X2)
& sP3(X3,X0)
& sP2(X0,X3)
& sP1(X3,X2)
& sP0(X2,X3) )
| ~ sP11(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X4,sK51(X0,X1))],[f7603]) ).
fof(f7638,plain,
( ! [X0,X1] :
( ( ( p__contraryAttribute2(X0,X1)
| ? [X2] :
( p__attribute(X2,X1)
& p__d__instance(X2,c__Object)
& p__attribute(X2,X0) )
| ~ sP13(X0,X1) )
& ( ( ! [X2] :
( ~ p__attribute(X2,X1)
| ~ p__d__instance(X2,c__Object)
| ~ p__attribute(X2,X0) )
& sP13(X0,X1) )
| ~ p__contraryAttribute2(X0,X1) ) )
| ~ p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X0,c__Attribute) )
& ! [X4,X5,X6,X7] :
( sP12(X7,X6,X4,X5)
| ~ p__d__instance(X7,c__Attribute)
| ~ p__d__instance(X6,c__Attribute)
| ~ p__d__instance(X5,c__Attribute)
| ~ p__d__instance(X4,c__Attribute) ) ),
inference(nnf_transformation,[],[f7564]) ).
fof(f7639,plain,
( ! [X0,X1] :
( ( ( p__contraryAttribute2(X0,X1)
| ? [X2] :
( p__attribute(X2,X1)
& p__d__instance(X2,c__Object)
& p__attribute(X2,X0) )
| ~ sP13(X0,X1) )
& ( ( ! [X2] :
( ~ p__attribute(X2,X1)
| ~ p__d__instance(X2,c__Object)
| ~ p__attribute(X2,X0) )
& sP13(X0,X1) )
| ~ p__contraryAttribute2(X0,X1) ) )
| ~ p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X0,c__Attribute) )
& ! [X4,X5,X6,X7] :
( sP12(X7,X6,X4,X5)
| ~ p__d__instance(X7,c__Attribute)
| ~ p__d__instance(X6,c__Attribute)
| ~ p__d__instance(X5,c__Attribute)
| ~ p__d__instance(X4,c__Attribute) ) ),
inference(flattening,[],[f7638]) ).
fof(f7640,plain,
( ! [X0,X1] :
( ( ( p__contraryAttribute2(X0,X1)
| ? [X2] :
( p__attribute(X2,X1)
& p__d__instance(X2,c__Object)
& p__attribute(X2,X0) )
| ~ sP13(X0,X1) )
& ( ( ! [X3] :
( ~ p__attribute(X3,X1)
| ~ p__d__instance(X3,c__Object)
| ~ p__attribute(X3,X0) )
& sP13(X0,X1) )
| ~ p__contraryAttribute2(X0,X1) ) )
| ~ p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X0,c__Attribute) )
& ! [X4,X5,X6,X7] :
( sP12(X7,X6,X4,X5)
| ~ p__d__instance(X7,c__Attribute)
| ~ p__d__instance(X6,c__Attribute)
| ~ p__d__instance(X5,c__Attribute)
| ~ p__d__instance(X4,c__Attribute) ) ),
inference(rectify,[],[f7639]) ).
fof(f7641,plain,
( ! [X0,X1] :
( ( ( p__contraryAttribute2(X0,X1)
| ( p__attribute(sK63(X0,X1),X1)
& p__d__instance(sK63(X0,X1),c__Object)
& p__attribute(sK63(X0,X1),X0) )
| ~ sP13(X0,X1) )
& ( ( ! [X3] :
( ~ p__attribute(X3,X1)
| ~ p__d__instance(X3,c__Object)
| ~ p__attribute(X3,X0) )
& sP13(X0,X1) )
| ~ p__contraryAttribute2(X0,X1) ) )
| ~ p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X0,c__Attribute) )
& ! [X4,X5,X6,X7] :
( sP12(X7,X6,X4,X5)
| ~ p__d__instance(X7,c__Attribute)
| ~ p__d__instance(X6,c__Attribute)
| ~ p__d__instance(X5,c__Attribute)
| ~ p__d__instance(X4,c__Attribute) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X2,sK63(X0,X1))],[f7640]) ).
fof(f7646,plain,
p__d__instance(sK14,c__Rock),
inference(cnf_transformation,[],[f7565]) ).
fof(f7648,plain,
p__d__instance(sK14,c__FossilFuel),
inference(cnf_transformation,[],[f7565]) ).
fof(f7649,plain,
! [X2,X0,X1] :
( ~ p__d__instance(X0,X1)
| p__d__instance(X0,X2)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7456]) ).
fof(f7659,plain,
p__d__subclass(c__FossilFuel,c__PetroleumProduct),
inference(cnf_transformation,[],[f2882]) ).
fof(f7662,plain,
! [X0] :
( ~ p__d__instance(X0,c__Rock)
| p__attribute(X0,c__Solid) ),
inference(cnf_transformation,[],[f7461]) ).
fof(f7698,plain,
p__d__subclass(c__PetroleumProduct,c__Oil),
inference(cnf_transformation,[],[f2879]) ).
fof(f7711,plain,
p__contraryAttribute4(c__Solid,c__Liquid,c__Gas,c__Plasma),
inference(cnf_transformation,[],[f2584]) ).
fof(f7775,plain,
! [X0,X1] :
( ~ p__attribute(X0,X1)
| p__d__instance(X0,c__Object) ),
inference(cnf_transformation,[],[f7512]) ).
fof(f7776,plain,
! [X0,X1] :
( ~ p__attribute(X0,X1)
| p__d__instance(X1,c__Attribute) ),
inference(cnf_transformation,[],[f7512]) ).
fof(f7777,plain,
! [X0,X1] :
( ~ p__subAttribute(X0,X1)
| p__d__instance(X0,c__Attribute) ),
inference(cnf_transformation,[],[f7513]) ).
fof(f7813,plain,
p__d__subclass(c__Oil,c__Solution),
inference(cnf_transformation,[],[f3743]) ).
fof(f7856,plain,
! [X2,X3,X0,X1] :
( ~ sP12(X0,X1,X2,X3)
| ~ p__contraryAttribute4(X2,X3,X1,X0)
| sP11(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f7600]) ).
fof(f7869,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP11(X0,X1,X2,X3)
| ~ p__d__instance(X5,c__Object)
| ~ p__attribute(X5,X1)
| ~ p__attribute(X5,X0) ),
inference(cnf_transformation,[],[f7604]) ).
fof(f7917,plain,
! [X6,X7,X4,X5] :
( sP12(X7,X6,X4,X5)
| ~ p__d__instance(X7,c__Attribute)
| ~ p__d__instance(X6,c__Attribute)
| ~ p__d__instance(X5,c__Attribute)
| ~ p__d__instance(X4,c__Attribute) ),
inference(cnf_transformation,[],[f7641]) ).
fof(f7924,plain,
! [X0] :
( ~ p__d__instance(X0,c__Solution)
| p__attribute(X0,c__Liquid) ),
inference(cnf_transformation,[],[f7537]) ).
fof(f7925,plain,
p__subAttribute(c__Liquid,c__Fluid),
inference(cnf_transformation,[],[f2588]) ).
fof(f7935,plain,
p__subAttribute(c__Gas,c__Fluid),
inference(cnf_transformation,[],[f2591]) ).
fof(f7940,plain,
p__subAttribute(c__Plasma,c__Fluid),
inference(cnf_transformation,[],[f2594]) ).
fof(f7951,plain,
p__attribute(sK14,c__Solid),
inference(resolution,[],[f7646,f7662]) ).
fof(f7954,plain,
! [X0] :
( ~ p__d__subclass(c__FossilFuel,X0)
| p__d__instance(sK14,X0) ),
inference(resolution,[],[f7649,f7648]) ).
fof(f7965,plain,
p__d__instance(sK14,c__PetroleumProduct),
inference(resolution,[],[f7954,f7659]) ).
fof(f7967,plain,
! [X0] :
( ~ p__d__subclass(c__PetroleumProduct,X0)
| p__d__instance(sK14,X0) ),
inference(resolution,[],[f7965,f7649]) ).
fof(f7999,plain,
p__d__instance(c__Solid,c__Attribute),
inference(resolution,[],[f7776,f7951]) ).
fof(f8044,plain,
p__d__instance(sK14,c__Oil),
inference(resolution,[],[f7967,f7698]) ).
fof(f8046,plain,
! [X0] :
( ~ p__d__subclass(c__Oil,X0)
| p__d__instance(sK14,X0) ),
inference(resolution,[],[f8044,f7649]) ).
fof(f8060,plain,
! [X2,X3,X0,X1] :
( ~ p__contraryAttribute4(X0,X1,X2,X3)
| sP11(X1,X0,X2,X3)
| ~ p__d__instance(X3,c__Attribute)
| ~ p__d__instance(X2,c__Attribute)
| ~ p__d__instance(X1,c__Attribute)
| ~ p__d__instance(X0,c__Attribute) ),
inference(resolution,[],[f7856,f7917]) ).
fof(f8134,plain,
p__d__instance(c__Plasma,c__Attribute),
inference(resolution,[],[f7940,f7777]) ).
fof(f8199,plain,
p__d__instance(c__Gas,c__Attribute),
inference(resolution,[],[f7935,f7777]) ).
fof(f8201,plain,
p__d__instance(c__Liquid,c__Attribute),
inference(resolution,[],[f7925,f7777]) ).
fof(f8239,plain,
( sP11(c__Liquid,c__Solid,c__Gas,c__Plasma)
| ~ p__d__instance(c__Plasma,c__Attribute)
| ~ p__d__instance(c__Gas,c__Attribute)
| ~ p__d__instance(c__Liquid,c__Attribute)
| ~ p__d__instance(c__Solid,c__Attribute) ),
inference(resolution,[],[f7711,f8060]) ).
fof(f8240,plain,
( sP11(c__Liquid,c__Solid,c__Gas,c__Plasma)
| ~ p__d__instance(c__Gas,c__Attribute)
| ~ p__d__instance(c__Liquid,c__Attribute)
| ~ p__d__instance(c__Solid,c__Attribute) ),
inference(forward_subsumption_resolution,[],[f8239,f8134]) ).
fof(f8241,plain,
( sP11(c__Liquid,c__Solid,c__Gas,c__Plasma)
| ~ p__d__instance(c__Liquid,c__Attribute)
| ~ p__d__instance(c__Solid,c__Attribute) ),
inference(forward_subsumption_resolution,[],[f8240,f8199]) ).
fof(f8242,plain,
( sP11(c__Liquid,c__Solid,c__Gas,c__Plasma)
| ~ p__d__instance(c__Solid,c__Attribute) ),
inference(forward_subsumption_resolution,[],[f8241,f8201]) ).
fof(f8243,plain,
sP11(c__Liquid,c__Solid,c__Gas,c__Plasma),
inference(forward_subsumption_resolution,[],[f8242,f7999]) ).
fof(f8244,plain,
! [X0] :
( ~ p__d__instance(X0,c__Object)
| ~ p__attribute(X0,c__Solid)
| ~ p__attribute(X0,c__Liquid) ),
inference(resolution,[],[f8243,f7869]) ).
fof(f8245,plain,
! [X0] :
( ~ p__attribute(X0,c__Liquid)
| ~ p__attribute(X0,c__Solid) ),
inference(forward_subsumption_resolution,[],[f8244,f7775]) ).
fof(f8522,plain,
p__d__instance(sK14,c__Solution),
inference(resolution,[],[f7813,f8046]) ).
fof(f10722,plain,
p__attribute(sK14,c__Liquid),
inference(resolution,[],[f7924,f8522]) ).
fof(f10802,plain,
~ p__attribute(sK14,c__Solid),
inference(resolution,[],[f10722,f8245]) ).
fof(f10806,plain,
$false,
inference(forward_subsumption_resolution,[],[f10802,f7951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR191+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 23:43:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 9.13/2.09 % (3901732)Detected formulas, will run a generic FOF schedule.
% 9.13/2.09 % (3901741)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1044236350:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 9.13/2.09 % (3901741)Refutation not found, incomplete strategy
% 9.13/2.09 % (3901741)------------------------------
% 9.13/2.09 % (3901741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.09 % (3901741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.09 % (3901741)CaDiCaL version: 2.1.3
% 9.13/2.09 % (3901741)Termination reason: Refutation not found, incomplete strategy
% 9.13/2.09 % (3901741)Time elapsed: 0.010 s
% 9.13/2.09 % (3901741)Peak memory usage: 94 MB
% 9.13/2.09 % (3901741)Instructions burned: 24 (million)
% 9.13/2.09 % (3901742)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3715055168:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 9.13/2.09 % (3901737)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=1201076618:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 9.13/2.09 % (3901739)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=2287988471:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 9.13/2.09 % (3901738)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=256061830:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 9.13/2.09 % (3901740)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1620007570:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 9.13/2.09 % (3901743)dis-21_1_sil=8000:lcm=predicate:random_seed=4110701147: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)
% 9.13/2.09 % (3901740)Refutation not found, incomplete strategy
% 9.13/2.09 % (3901740)------------------------------
% 9.13/2.09 % (3901740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.09 % (3901740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.09 % (3901740)CaDiCaL version: 2.1.3
% 9.13/2.09 % (3901740)Termination reason: Refutation not found, incomplete strategy
% 9.13/2.09 % (3901740)Time elapsed: 0.016 s
% 9.13/2.09 % (3901740)Peak memory usage: 93 MB
% 9.13/2.09 % (3901740)Instructions burned: 23 (million)
% 9.13/2.09 % (3901743)Instruction limit reached!
% 9.13/2.09 % (3901743)------------------------------
% 9.13/2.09 % (3901743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.09 % (3901743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.09 % (3901743)CaDiCaL version: 2.1.3
% 9.13/2.09 % (3901743)Termination reason: Instruction limit
% 9.13/2.09 % (3901743)Termination phase: Saturation
% 9.13/2.09 % (3901743)Time elapsed: 0.076 s
% 9.13/2.09 % (3901743)Peak memory usage: 96 MB
% 9.13/2.09 % (3901743)Instructions burned: 129 (million)
% 9.13/2.09 % (3901742)Instruction limit reached!
% 9.13/2.09 % (3901742)------------------------------
% 9.13/2.09 % (3901742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.09 % (3901742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.09 % (3901742)CaDiCaL version: 2.1.3
% 9.13/2.09 % (3901742)Termination reason: Instruction limit
% 9.13/2.09 % (3901742)Termination phase: Preprocessing 3
% 9.13/2.09 % (3901742)Time elapsed: 0.092 s
% 9.13/2.09 % (3901742)Peak memory usage: 94 MB
% 9.13/2.09 % (3901742)Instructions burned: 141 (million)
% 9.13/2.09 % (3901741)------------------------------
% 9.13/2.09 % (3901741)------------------------------
% 9.13/2.09 % (3901753)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1407319371:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.13/2.09 % (3901753)Refutation not found, incomplete strategy
% 9.13/2.09 % (3901753)------------------------------
% 9.13/2.09 % (3901753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.13/2.09 % (3901753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/2.09 % (3901753)CaDiCaL version: 2.1.3
% 9.13/2.09 % (3901753)Termination reason: Refutation not found, incomplete strategy
% 9.13/2.09 % (3901753)Time elapsed: 0.009 s
% 13.94/2.96 % (3901753)Peak memory usage: 94 MB
% 13.94/2.96 % (3901753)Instructions burned: 20 (million)
% 13.94/2.96 % (3901752)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3607758885:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 13.94/2.96 % (3901751)lrs+10_1_sil=8000:sp=occurrence:random_seed=3845126707:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.94/2.96 % (3901752)Refutation not found, incomplete strategy
% 13.94/2.96 % (3901752)------------------------------
% 13.94/2.96 % (3901752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.96 % (3901752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.96 % (3901752)CaDiCaL version: 2.1.3
% 13.94/2.96 % (3901752)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.96 % (3901752)Time elapsed: 0.032 s
% 13.94/2.96 % (3901752)Peak memory usage: 94 MB
% 13.94/2.96 % (3901752)Instructions burned: 60 (million)
% 13.94/2.96 % (3901740)------------------------------
% 13.94/2.96 % (3901740)------------------------------
% 13.94/2.96 % (3901753)------------------------------
% 13.94/2.96 % (3901753)------------------------------
% 13.94/2.96 % (3901751)Instruction limit reached!
% 13.94/2.96 % (3901751)------------------------------
% 13.94/2.96 % (3901751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.96 % (3901751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.96 % (3901751)CaDiCaL version: 2.1.3
% 13.94/2.96 % (3901751)Termination reason: Instruction limit
% 13.94/2.96 % (3901751)Termination phase: Saturation
% 13.94/2.96 % (3901751)Time elapsed: 0.165 s
% 13.94/2.96 % (3901751)Peak memory usage: 98 MB
% 13.94/2.96 % (3901751)Instructions burned: 287 (million)
% 13.94/2.96 % (3901757)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=2696634359:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 13.94/2.96 % (3901758)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3128335218:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.94/2.96 % (3901758)Refutation not found, incomplete strategy
% 13.94/2.96 % (3901758)------------------------------
% 13.94/2.96 % (3901758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.96 % (3901758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.96 % (3901758)CaDiCaL version: 2.1.3
% 13.94/2.96 % (3901758)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.96 % (3901758)Time elapsed: 0.013 s
% 13.94/2.96 % (3901758)Peak memory usage: 94 MB
% 13.94/2.96 % (3901758)Instructions burned: 33 (million)
% 13.94/2.96 % (3901752)------------------------------
% 13.94/2.96 % (3901752)------------------------------
% 13.94/2.96 % (3901759)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3593423531:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 13.94/2.96 % (3901757)Instruction limit reached!
% 13.94/2.96 % (3901757)------------------------------
% 13.94/2.96 % (3901757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.96 % (3901757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.96 % (3901757)CaDiCaL version: 2.1.3
% 13.94/2.96 % (3901757)Termination reason: Instruction limit
% 13.94/2.96 % (3901757)Termination phase: Saturation
% 13.94/2.96 % (3901757)Time elapsed: 0.142 s
% 13.94/2.96 % (3901757)Peak memory usage: 98 MB
% 13.94/2.96 % (3901757)Instructions burned: 249 (million)
% 13.94/2.96 % (3901758)------------------------------
% 13.94/2.96 % (3901758)------------------------------
% 13.94/2.96 % (3901762)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=788247581:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 13.94/2.96 % (3901739)Refutation not found, incomplete strategy
% 13.94/2.96 % (3901739)------------------------------
% 13.94/2.96 % (3901739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.96 % (3901739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.96 % (3901739)CaDiCaL version: 2.1.3
% 13.94/2.96 % (3901739)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.96 % (3901739)Time elapsed: 0.677 s
% 13.94/2.96 % (3901739)Peak memory usage: 136 MB
% 13.94/2.96 % (3901739)Instructions burned: 1023 (million)
% 13.94/2.96 % (3901762)Instruction limit reached!
% 13.94/2.96 % (3901762)------------------------------
% 13.94/2.96 % (3901762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901762)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901762)Termination reason: Instruction limit
% 10.64/3.14 % (3901762)Termination phase: Saturation
% 10.64/3.14 % (3901762)Time elapsed: 0.064 s
% 10.64/3.14 % (3901762)Peak memory usage: 94 MB
% 10.64/3.14 % (3901762)Instructions burned: 115 (million)
% 10.64/3.14 % (3901764)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=194499681:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.64/3.14 % (3901765)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1269280837:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.64/3.14 % (3901765)Instruction limit reached!
% 10.64/3.14 % (3901765)------------------------------
% 10.64/3.14 % (3901765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901765)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901765)Termination reason: Instruction limit
% 10.64/3.14 % (3901765)Termination phase: Property scanning
% 10.64/3.14 % (3901765)Time elapsed: 0.034 s
% 10.64/3.14 % (3901765)Peak memory usage: 92 MB
% 10.64/3.14 % (3901765)Instructions burned: 116 (million)
% 10.64/3.14 % (3901764)Instruction limit reached!
% 10.64/3.14 % (3901764)------------------------------
% 10.64/3.14 % (3901764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901764)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901764)Termination reason: Instruction limit
% 10.64/3.14 % (3901764)Termination phase: Property scanning
% 10.64/3.14 % (3901764)Time elapsed: 0.078 s
% 10.64/3.14 % (3901764)Peak memory usage: 96 MB
% 10.64/3.14 % (3901764)Instructions burned: 128 (million)
% 10.64/3.14 % (3901768)lrs+10_1_sil=8000:sp=occurrence:random_seed=2379424914:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.64/3.14 % (3901770)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4225168365:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.64/3.14 % (3901770)Refutation not found, incomplete strategy
% 10.64/3.14 % (3901770)------------------------------
% 10.64/3.14 % (3901770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901770)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901770)Termination reason: Refutation not found, incomplete strategy
% 10.64/3.14 % (3901770)Time elapsed: 0.009 s
% 10.64/3.14 % (3901770)Peak memory usage: 94 MB
% 10.64/3.14 % (3901770)Instructions burned: 19 (million)
% 10.64/3.14 % (3901771)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2785707003:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.64/3.14 % (3901739)------------------------------
% 10.64/3.14 % (3901739)------------------------------
% 10.64/3.14 % (3901770)------------------------------
% 10.64/3.14 % (3901770)------------------------------
% 10.64/3.14 % (3901775)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=508830665:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.64/3.14 % (3901775)Refutation not found, incomplete strategy
% 10.64/3.14 % (3901775)------------------------------
% 10.64/3.14 % (3901775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901775)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901775)Termination reason: Refutation not found, incomplete strategy
% 10.64/3.14 % (3901775)Time elapsed: 0.020 s
% 10.64/3.14 % (3901775)Peak memory usage: 94 MB
% 10.64/3.14 % (3901775)Instructions burned: 25 (million)
% 10.64/3.14 % (3901776)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=497932249:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.64/3.14 % (3901776)Refutation not found, incomplete strategy
% 10.64/3.14 % (3901776)------------------------------
% 10.64/3.14 % (3901776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901776)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901776)Termination reason: Refutation not found, incomplete strategy
% 10.64/3.14 % (3901776)Time elapsed: 0.021 s
% 10.64/3.14 % (3901776)Peak memory usage: 94 MB
% 10.64/3.14 % (3901776)Instructions burned: 55 (million)
% 10.64/3.14 % (3901776)------------------------------
% 10.64/3.14 % (3901776)------------------------------
% 10.64/3.14 % (3901768)Instruction limit reached!
% 10.64/3.14 % (3901768)------------------------------
% 10.64/3.14 % (3901768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901768)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901768)Termination reason: Instruction limit
% 10.64/3.14 % (3901768)Termination phase: Saturation
% 10.64/3.14 % (3901768)Time elapsed: 0.511 s
% 10.64/3.14 % (3901768)Peak memory usage: 104 MB
% 10.64/3.14 % (3901768)Instructions burned: 907 (million)
% 10.64/3.14 % (3901775)------------------------------
% 10.64/3.14 % (3901775)------------------------------
% 10.64/3.14 % (3901779)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=441115431:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 10.64/3.14 % (3901780)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=4157540398:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 10.64/3.14 % (3901781)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3503964248:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 10.64/3.14 % (3901780)Instruction limit reached!
% 10.64/3.14 % (3901780)------------------------------
% 10.64/3.14 % (3901780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901780)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901780)Termination reason: Instruction limit
% 10.64/3.14 % (3901780)Termination phase: Preprocessing 3
% 10.64/3.14 % (3901780)Time elapsed: 0.080 s
% 10.64/3.14 % (3901780)Peak memory usage: 93 MB
% 10.64/3.14 % (3901780)Instructions burned: 125 (million)
% 10.64/3.14 % (3901781)Instruction limit reached!
% 10.64/3.14 % (3901781)------------------------------
% 10.64/3.14 % (3901781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901781)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901781)Termination reason: Instruction limit
% 10.64/3.14 % (3901781)Termination phase: Preprocessing 2
% 10.64/3.14 % (3901781)Time elapsed: 0.073 s
% 10.64/3.14 % (3901781)Peak memory usage: 92 MB
% 10.64/3.14 % (3901781)Instructions burned: 134 (million)
% 10.64/3.14 % (3901785)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1053041768:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 10.64/3.14 % (3901785)Refutation not found, incomplete strategy
% 10.64/3.14 % (3901785)------------------------------
% 10.64/3.14 % (3901785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901785)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901785)Termination reason: Refutation not found, incomplete strategy
% 10.64/3.14 % (3901785)Time elapsed: 0.018 s
% 10.64/3.14 % (3901785)Peak memory usage: 94 MB
% 10.64/3.14 % (3901785)Instructions burned: 24 (million)
% 10.64/3.14 % (3901786)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3541846600:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 10.64/3.14 % (3901786)Refutation not found, incomplete strategy
% 10.64/3.14 % (3901786)------------------------------
% 10.64/3.14 % (3901786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901786)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901786)Termination reason: Refutation not found, incomplete strategy
% 10.64/3.14 % (3901786)Time elapsed: 0.017 s
% 10.64/3.14 % (3901786)Peak memory usage: 94 MB
% 10.64/3.14 % (3901786)Instructions burned: 20 (million)
% 10.64/3.14 % (3901785)------------------------------
% 10.64/3.14 % (3901785)------------------------------
% 10.64/3.14 % (3901786)------------------------------
% 10.64/3.14 % (3901786)------------------------------
% 10.64/3.14 % (3901779)First to succeed.
% 10.64/3.14 % (3901779)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3901732"
% 10.64/3.14 % (3901759)Instruction limit reached!
% 10.64/3.14 % (3901759)------------------------------
% 10.64/3.14 % (3901759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.64/3.14 % (3901759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.64/3.14 % (3901759)CaDiCaL version: 2.1.3
% 10.64/3.14 % (3901759)Termination reason: Instruction limit
% 10.64/3.14 % (3901759)Termination phase: Saturation
% 10.64/3.14 % (3901759)Time elapsed: 1.483 s
% 10.64/3.14 % (3901759)Peak memory usage: 214 MB
% 10.64/3.14 % (3901759)Instructions burned: 2352 (million)
% 10.64/3.14 % (3901789)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=2527212538:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 10.64/3.14 % (3901790)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=2938037477:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 10.64/3.14 % (3901791)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2509669149:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 10.64/3.14 % (3901779)Refutation found. Thanks to Tanya!
% 10.64/3.14 % SZS status Theorem for theBenchmark
% 10.64/3.14 % SZS output start Proof for theBenchmark
% See solution above
% 17.14/3.34 % (3901779)------------------------------
% 17.14/3.34 % (3901779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.14/3.34 % (3901779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.14/3.34 % (3901779)CaDiCaL version: 2.1.3
% 17.14/3.34 % (3901779)Termination reason: Refutation
% 17.14/3.34 % (3901779)Time elapsed: 0.618 s
% 17.14/3.34 % (3901779)Peak memory usage: 147 MB
% 17.14/3.34 % (3901779)Instructions burned: 1447 (million)
% 17.14/3.34 % (3901779)------------------------------
% 17.14/3.34 % (3901779)------------------------------
% 17.14/3.34 % (3901732)Success in time 2.482 s
% 17.14/3.34 % Vampire exiting
%------------------------------------------------------------------------------