%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU291+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:48:11 PM UTC 2026
% Result : Theorem 8.85s 2.10s
% Output : Refutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 109 ( 17 unt; 6 def)
% Number of atoms : 344 ( 90 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 385 ( 150 ~; 170 |; 40 &)
% ( 14 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 99 ( 0 sgn 91 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f27,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( ( X1 = empty_set
=> X0 = empty_set )
=> ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) )
& ( X1 = empty_set
=> ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f196,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f201,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f253,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f292,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f382,conjecture,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( X1 = empty_set
& X0 != empty_set )
| ( function(X3)
& quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_funct_2) ).
fof(f383,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( X1 = empty_set
& X0 != empty_set )
| ( function(X3)
& quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f382]) ).
fof(f439,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f440,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f439]) ).
fof(f556,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f196]) ).
fof(f629,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(X0,X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f253]) ).
fof(f630,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(X0,X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f629]) ).
fof(f782,plain,
? [X0,X1,X2,X3] :
( ( empty_set != X1
| empty_set = X0 )
& ( ~ function(X3)
| ~ quasi_total(X3,X0,X2)
| ~ relation_of2_as_subset(X3,X0,X2) )
& subset(X1,X2)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f383]) ).
fof(f783,plain,
? [X0,X1,X2,X3] :
( ( empty_set != X1
| empty_set = X0 )
& ( ~ function(X3)
| ~ quasi_total(X3,X0,X2)
| ~ relation_of2_as_subset(X3,X0,X2) )
& subset(X1,X2)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f782]) ).
fof(f814,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f815,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f814]) ).
fof(f847,plain,
! [X0,X1,X2] :
( ( ( ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( X0 = relation_dom_as_subset(X0,X1,X2)
| ~ quasi_total(X2,X0,X1) ) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| ~ quasi_total(X2,X0,X1) ) )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(nnf_transformation,[],[f440]) ).
fof(f1017,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f201]) ).
fof(f1174,plain,
( ( empty_set != sK263
| empty_set = sK262 )
& ( ~ function(sK265)
| ~ quasi_total(sK265,sK262,sK264)
| ~ relation_of2_as_subset(sK265,sK262,sK264) )
& subset(sK263,sK264)
& function(sK265)
& quasi_total(sK265,sK262,sK263)
& relation_of2_as_subset(sK265,sK262,sK263) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK262,sK263,sK264,sK265]),skolemize(X0,sK262),skolemize(X1,sK263),skolemize(X2,sK264),skolemize(X3,sK265)],[f783]) ).
fof(f1202,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f815]) ).
fof(f1261,plain,
! [X2,X0,X1] :
( ~ quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = X0
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f847]) ).
fof(f1262,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X0,X1,X2) = X0
| ~ quasi_total(X2,X0,X1)
| empty_set != X0
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f847]) ).
fof(f1263,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X0,X1,X2) != X0
| quasi_total(X2,X0,X1)
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f847]) ).
fof(f1659,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f556]) ).
fof(f1664,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f1017]) ).
fof(f1908,plain,
! [X2,X3,X0,X1] :
( ~ subset(X0,X1)
| relation_of2_as_subset(X3,X2,X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(cnf_transformation,[],[f630]) ).
fof(f1969,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f292]) ).
fof(f2123,plain,
relation_of2_as_subset(sK265,sK262,sK263),
inference(cnf_transformation,[],[f1174]) ).
fof(f2124,plain,
quasi_total(sK265,sK262,sK263),
inference(cnf_transformation,[],[f1174]) ).
fof(f2125,plain,
function(sK265),
inference(cnf_transformation,[],[f1174]) ).
fof(f2126,plain,
subset(sK263,sK264),
inference(cnf_transformation,[],[f1174]) ).
fof(f2127,plain,
( ~ function(sK265)
| ~ quasi_total(sK265,sK262,sK264)
| ~ relation_of2_as_subset(sK265,sK262,sK264) ),
inference(cnf_transformation,[],[f1174]) ).
fof(f2128,plain,
( empty_set != sK263
| empty_set = sK262 ),
inference(cnf_transformation,[],[f1174]) ).
fof(f2448,plain,
! [X2,X1] :
( ~ quasi_total(X2,empty_set,X1)
| empty_set = relation_dom_as_subset(empty_set,X1,X2)
| ~ relation_of2_as_subset(X2,empty_set,X1) ),
inference(equality_resolution,[],[f1262]) ).
fof(f2590,plain,
( ~ quasi_total(sK265,sK262,sK264)
| ~ relation_of2_as_subset(sK265,sK262,sK264) ),
inference(forward_subsumption_resolution,[],[f2127,f2125]) ).
fof(f2592,definition,
( spl268_1
<=> empty_set = sK262 ),
introduced(definition,[new_symbols(definition,[spl268_1])],[avatar_definition]) ).
fof(f2593,plain,
( empty_set = sK262
| ~ spl268_1 ),
inference(avatar_component_clause,[],[f2592]) ).
fof(f2595,definition,
( spl268_2
<=> empty_set = sK263 ),
introduced(definition,[new_symbols(definition,[spl268_2])],[avatar_definition]) ).
fof(f2596,plain,
( empty_set != sK263
| spl268_2 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f2597,plain,
( spl268_1
| ~ spl268_2 ),
inference(avatar_split_clause,[],[f2128,f2595,f2592]) ).
fof(f2687,definition,
( spl268_15
<=> relation_of2_as_subset(sK265,sK262,sK264) ),
introduced(definition,[new_symbols(definition,[spl268_15])],[avatar_definition]) ).
fof(f2688,plain,
( ~ relation_of2_as_subset(sK265,sK262,sK264)
| spl268_15 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f2690,definition,
( spl268_16
<=> quasi_total(sK265,sK262,sK264) ),
introduced(definition,[new_symbols(definition,[spl268_16])],[avatar_definition]) ).
fof(f2691,plain,
( ~ quasi_total(sK265,sK262,sK264)
| spl268_16 ),
inference(avatar_component_clause,[],[f2690]) ).
fof(f2692,plain,
( ~ spl268_15
| ~ spl268_16 ),
inference(avatar_split_clause,[],[f2590,f2690,f2687]) ).
fof(f2709,plain,
( sK262 = relation_dom_as_subset(sK262,sK263,sK265)
| empty_set = sK263
| ~ relation_of2_as_subset(sK265,sK262,sK263) ),
inference(resolution,[],[f1261,f2124]) ).
fof(f2710,plain,
( sK262 = relation_dom_as_subset(sK262,sK263,sK265)
| ~ relation_of2_as_subset(sK265,sK262,sK263)
| spl268_2 ),
inference(forward_subsumption_resolution,[],[f2709,f2596]) ).
fof(f2711,plain,
( sK262 = relation_dom_as_subset(sK262,sK263,sK265)
| spl268_2 ),
inference(forward_subsumption_resolution,[],[f2710,f2123]) ).
fof(f2714,plain,
! [X0,X1] :
( relation_of2_as_subset(X0,X1,sK264)
| ~ relation_of2_as_subset(X0,X1,sK263) ),
inference(resolution,[],[f1908,f2126]) ).
fof(f2716,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,empty_set)
| relation_of2_as_subset(X0,X1,X2) ),
inference(resolution,[],[f1969,f1908]) ).
fof(f2726,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(resolution,[],[f1659,f1664]) ).
fof(f2727,plain,
relation_dom_as_subset(sK262,sK263,sK265) = relation_dom(sK265),
inference(resolution,[],[f2726,f2123]) ).
fof(f2728,plain,
! [X0,X1] :
( ~ relation_of2_as_subset(X1,X0,sK263)
| relation_dom(X1) = relation_dom_as_subset(X0,sK264,X1) ),
inference(resolution,[],[f2726,f2714]) ).
fof(f2729,plain,
( sK262 = relation_dom(sK265)
| spl268_2 ),
inference(forward_demodulation,[],[f2727,f2711]) ).
fof(f2730,plain,
relation_dom_as_subset(sK262,sK264,sK265) = relation_dom(sK265),
inference(resolution,[],[f2728,f2123]) ).
fof(f2731,plain,
( sK262 = relation_dom_as_subset(sK262,sK264,sK265)
| spl268_2 ),
inference(forward_demodulation,[],[f2730,f2729]) ).
fof(f2732,plain,
( sK262 != sK262
| quasi_total(sK265,sK262,sK264)
| empty_set = sK264
| ~ relation_of2_as_subset(sK265,sK262,sK264)
| spl268_2 ),
inference(superposition,[],[f1263,f2731]) ).
fof(f2733,plain,
( quasi_total(sK265,sK262,sK264)
| empty_set = sK264
| ~ relation_of2_as_subset(sK265,sK262,sK264)
| spl268_2 ),
inference(trivial_inequality_removal,[],[f2732]) ).
fof(f2734,plain,
( empty_set = sK264
| ~ relation_of2_as_subset(sK265,sK262,sK264)
| spl268_2
| spl268_16 ),
inference(forward_subsumption_resolution,[],[f2733,f2691]) ).
fof(f2736,definition,
( spl268_19
<=> empty_set = sK264 ),
introduced(definition,[new_symbols(definition,[spl268_19])],[avatar_definition]) ).
fof(f2737,plain,
( empty_set = sK264
| ~ spl268_19 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f2738,plain,
( ~ spl268_15
| spl268_19
| spl268_2
| spl268_16 ),
inference(avatar_split_clause,[],[f2734,f2690,f2595,f2736,f2687]) ).
fof(f2741,plain,
( ~ relation_of2_as_subset(sK265,sK262,sK263)
| spl268_15 ),
inference(resolution,[],[f2688,f2714]) ).
fof(f2744,plain,
( $false
| spl268_15 ),
inference(forward_subsumption_resolution,[],[f2741,f2123]) ).
fof(f2745,plain,
spl268_15,
inference(avatar_contradiction_clause,[],[f2744]) ).
fof(f2748,plain,
( ~ quasi_total(sK265,sK262,empty_set)
| spl268_16
| ~ spl268_19 ),
inference(superposition,[],[f2691,f2737]) ).
fof(f2749,plain,
( subset(sK263,empty_set)
| ~ spl268_19 ),
inference(superposition,[],[f2126,f2737]) ).
fof(f2752,plain,
( ~ subset(empty_set,sK263)
| empty_set = sK263
| ~ spl268_19 ),
inference(resolution,[],[f2749,f1202]) ).
fof(f2756,plain,
( empty_set = sK263
| ~ spl268_19 ),
inference(forward_subsumption_resolution,[],[f2752,f1969]) ).
fof(f2765,plain,
( quasi_total(sK265,sK262,empty_set)
| ~ spl268_19 ),
inference(superposition,[],[f2124,f2756]) ).
fof(f2770,plain,
( $false
| spl268_16
| ~ spl268_19 ),
inference(forward_subsumption_resolution,[],[f2765,f2748]) ).
fof(f2771,plain,
( spl268_16
| ~ spl268_19 ),
inference(avatar_contradiction_clause,[],[f2770]) ).
fof(f2776,plain,
( empty_set = sK263
| ~ spl268_2 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f2778,definition,
( spl268_20
<=> empty_set = relation_dom(sK265) ),
introduced(definition,[new_symbols(definition,[spl268_20])],[avatar_definition]) ).
fof(f2779,plain,
( empty_set = relation_dom(sK265)
| ~ spl268_20 ),
inference(avatar_component_clause,[],[f2778]) ).
fof(f2781,plain,
( relation_of2_as_subset(sK265,empty_set,sK263)
| ~ spl268_1 ),
inference(superposition,[],[f2123,f2593]) ).
fof(f2782,plain,
( quasi_total(sK265,empty_set,sK263)
| ~ spl268_1 ),
inference(superposition,[],[f2124,f2593]) ).
fof(f2783,plain,
( ~ quasi_total(sK265,empty_set,sK264)
| ~ spl268_1
| spl268_16 ),
inference(superposition,[],[f2691,f2593]) ).
fof(f2784,plain,
( quasi_total(sK265,empty_set,empty_set)
| ~ spl268_1
| ~ spl268_2 ),
inference(forward_demodulation,[],[f2782,f2776]) ).
fof(f2785,plain,
( relation_of2_as_subset(sK265,empty_set,empty_set)
| ~ spl268_1
| ~ spl268_2 ),
inference(forward_demodulation,[],[f2781,f2776]) ).
fof(f2792,plain,
( empty_set = relation_dom_as_subset(empty_set,empty_set,sK265)
| ~ relation_of2_as_subset(sK265,empty_set,empty_set)
| ~ spl268_1
| ~ spl268_2 ),
inference(resolution,[],[f2784,f2448]) ).
fof(f2794,plain,
( empty_set = relation_dom_as_subset(empty_set,empty_set,sK265)
| ~ spl268_1
| ~ spl268_2 ),
inference(forward_subsumption_resolution,[],[f2792,f2785]) ).
fof(f2795,plain,
( ! [X0] : relation_of2_as_subset(sK265,empty_set,X0)
| ~ spl268_1
| ~ spl268_2 ),
inference(resolution,[],[f2785,f2716]) ).
fof(f2796,plain,
( relation_dom(sK265) = relation_dom_as_subset(empty_set,empty_set,sK265)
| ~ spl268_1
| ~ spl268_2 ),
inference(resolution,[],[f2785,f2726]) ).
fof(f2797,plain,
( empty_set = relation_dom(sK265)
| ~ spl268_1
| ~ spl268_2 ),
inference(forward_demodulation,[],[f2796,f2794]) ).
fof(f2798,plain,
( spl268_20
| ~ spl268_1
| ~ spl268_2 ),
inference(avatar_split_clause,[],[f2797,f2595,f2592,f2778]) ).
fof(f2800,plain,
( ! [X0] : relation_dom(sK265) = relation_dom_as_subset(empty_set,X0,sK265)
| ~ spl268_1
| ~ spl268_2 ),
inference(resolution,[],[f2795,f2726]) ).
fof(f2802,plain,
( ! [X0] : empty_set = relation_dom_as_subset(empty_set,X0,sK265)
| ~ spl268_1
| ~ spl268_2
| ~ spl268_20 ),
inference(forward_demodulation,[],[f2800,f2779]) ).
fof(f2803,plain,
( ! [X0] :
( empty_set != empty_set
| quasi_total(sK265,empty_set,X0)
| empty_set = X0
| ~ relation_of2_as_subset(sK265,empty_set,X0) )
| ~ spl268_1
| ~ spl268_2
| ~ spl268_20 ),
inference(superposition,[],[f1263,f2802]) ).
fof(f2804,plain,
( ! [X0] :
( quasi_total(sK265,empty_set,X0)
| empty_set = X0
| ~ relation_of2_as_subset(sK265,empty_set,X0) )
| ~ spl268_1
| ~ spl268_2
| ~ spl268_20 ),
inference(trivial_inequality_removal,[],[f2803]) ).
fof(f2805,plain,
( ! [X0] :
( quasi_total(sK265,empty_set,X0)
| empty_set = X0 )
| ~ spl268_1
| ~ spl268_2
| ~ spl268_20 ),
inference(forward_subsumption_resolution,[],[f2804,f2795]) ).
fof(f2812,plain,
( empty_set = sK264
| ~ spl268_1
| ~ spl268_2
| spl268_16
| ~ spl268_20 ),
inference(resolution,[],[f2783,f2805]) ).
fof(f2813,plain,
( spl268_19
| ~ spl268_1
| ~ spl268_2
| spl268_16
| ~ spl268_20 ),
inference(avatar_split_clause,[],[f2812,f2778,f2690,f2595,f2592,f2736]) ).
cnf(s1,plain,
( spl268_1
| ~ spl268_2 ),
inference(sat_conversion,[],[f2597]) ).
cnf(s12,plain,
( ~ spl268_15
| ~ spl268_16 ),
inference(sat_conversion,[],[f2692]) ).
cnf(s14,plain,
( spl268_2
| ~ spl268_15
| spl268_16
| spl268_19 ),
inference(sat_conversion,[],[f2738]) ).
cnf(s17,plain,
spl268_15,
inference(sat_conversion,[],[f2745]) ).
cnf(s21,plain,
( spl268_16
| ~ spl268_19 ),
inference(sat_conversion,[],[f2771]) ).
cnf(s23,plain,
( ~ spl268_1
| ~ spl268_2
| spl268_20 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s24,plain,
( ~ spl268_1
| ~ spl268_2
| spl268_16
| spl268_19
| ~ spl268_20 ),
inference(sat_conversion,[],[f2813]) ).
cnf(s25,plain,
( spl268_2
| spl268_16
| spl268_19 ),
inference(rat,[],[s14,s17]) ).
cnf(s26,plain,
~ spl268_16,
inference(rat,[],[s12,s17]) ).
cnf(s27,plain,
~ spl268_19,
inference(rat,[],[s21,s26]) ).
cnf(s28,plain,
spl268_2,
inference(rat,[],[s25,s27,s26]) ).
cnf(s29,plain,
spl268_1,
inference(rat,[],[s1,s28]) ).
cnf(s30,plain,
~ spl268_20,
inference(rat,[],[s24,s28,s27,s26,s29]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s23,s28,s30,s29]) ).
fof(f2814,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU291+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:36:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.85/2.10 % (3260457)Detected formulas, will run a generic FOF schedule.
% 8.85/2.10 % (3260466)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1328833911:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.85/2.10 % (3260462)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=1500317491:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.85/2.10 % (3260465)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=115010103:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.85/2.10 % (3260463)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=1295390629:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.85/2.10 % (3260464)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=3882270474:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.85/2.10 % (3260467)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2449854092:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.85/2.10 % (3260468)dis-21_1_sil=8000:lcm=predicate:random_seed=110901175: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)
% 8.85/2.10 % (3260466)Instruction limit reached!
% 8.85/2.10 % (3260466)------------------------------
% 8.85/2.10 % (3260466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260466)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260466)Termination reason: Instruction limit
% 8.85/2.10 % (3260466)Termination phase: Saturation
% 8.85/2.10 % (3260466)Time elapsed: 0.044 s
% 8.85/2.10 % (3260466)Peak memory usage: 90 MB
% 8.85/2.10 % (3260466)Instructions burned: 119 (million)
% 8.85/2.10 % (3260465)Instruction limit reached!
% 8.85/2.10 % (3260465)------------------------------
% 8.85/2.10 % (3260465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260465)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260465)Termination reason: Instruction limit
% 8.85/2.10 % (3260465)Termination phase: Saturation
% 8.85/2.10 % (3260465)Time elapsed: 0.066 s
% 8.85/2.10 % (3260465)Peak memory usage: 91 MB
% 8.85/2.10 % (3260465)Instructions burned: 110 (million)
% 8.85/2.10 % (3260468)Instruction limit reached!
% 8.85/2.10 % (3260468)------------------------------
% 8.85/2.10 % (3260468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260468)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260468)Termination reason: Instruction limit
% 8.85/2.10 % (3260468)Termination phase: Saturation
% 8.85/2.10 % (3260468)Time elapsed: 0.064 s
% 8.85/2.10 % (3260468)Peak memory usage: 90 MB
% 8.85/2.10 % (3260468)Instructions burned: 130 (million)
% 8.85/2.10 % (3260467)Instruction limit reached!
% 8.85/2.10 % (3260467)------------------------------
% 8.85/2.10 % (3260467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260467)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260467)Termination reason: Instruction limit
% 8.85/2.10 % (3260467)Termination phase: Saturation
% 8.85/2.10 % (3260467)Time elapsed: 0.096 s
% 8.85/2.10 % (3260467)Peak memory usage: 91 MB
% 8.85/2.10 % (3260467)Instructions burned: 139 (million)
% 8.85/2.10 % (3260476)lrs+10_1_sil=8000:sp=occurrence:random_seed=1630602291:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.85/2.10 % (3260478)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2634621429:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.85/2.10 % (3260477)lrs+10_1_sil=32000:urr=on:br=off:random_seed=240379328:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.85/2.10 % (3260476)Instruction limit reached!
% 8.85/2.10 % (3260476)------------------------------
% 8.85/2.10 % (3260476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260476)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260476)Termination reason: Instruction limit
% 8.85/2.10 % (3260476)Termination phase: Saturation
% 8.85/2.10 % (3260476)Time elapsed: 0.104 s
% 8.85/2.10 % (3260476)Peak memory usage: 95 MB
% 8.85/2.10 % (3260476)Instructions burned: 285 (million)
% 8.85/2.10 % (3260479)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=4106341195:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.85/2.10 % (3260483)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4123036696:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.85/2.10 % (3260477)Instruction limit reached!
% 8.85/2.10 % (3260477)------------------------------
% 8.85/2.10 % (3260477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260477)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260477)Termination reason: Instruction limit
% 8.85/2.10 % (3260477)Termination phase: Saturation
% 8.85/2.10 % (3260477)Time elapsed: 0.091 s
% 8.85/2.10 % (3260477)Peak memory usage: 90 MB
% 8.85/2.10 % (3260477)Instructions burned: 158 (million)
% 8.85/2.10 % (3260479)Instruction limit reached!
% 8.85/2.10 % (3260479)------------------------------
% 8.85/2.10 % (3260479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260479)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260479)Termination reason: Instruction limit
% 8.85/2.10 % (3260479)Termination phase: Saturation
% 8.85/2.10 % (3260479)Time elapsed: 0.150 s
% 8.85/2.10 % (3260479)Peak memory usage: 93 MB
% 8.85/2.10 % (3260479)Instructions burned: 248 (million)
% 8.85/2.10 % (3260483)Instruction limit reached!
% 8.85/2.10 % (3260483)------------------------------
% 8.85/2.10 % (3260483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260483)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260483)Termination reason: Instruction limit
% 8.85/2.10 % (3260483)Termination phase: Saturation
% 8.85/2.10 % (3260483)Time elapsed: 0.101 s
% 8.85/2.10 % (3260483)Peak memory usage: 92 MB
% 8.85/2.10 % (3260483)Instructions burned: 297 (million)
% 8.85/2.10 % (3260486)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1836015812:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.85/2.10 % (3260478)Instruction limit reached!
% 8.85/2.10 % (3260478)------------------------------
% 8.85/2.10 % (3260478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260478)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260478)Termination reason: Instruction limit
% 8.85/2.10 % (3260478)Termination phase: Saturation
% 8.85/2.10 % (3260478)Time elapsed: 0.232 s
% 8.85/2.10 % (3260478)Peak memory usage: 94 MB
% 8.85/2.10 % (3260478)Instructions burned: 325 (million)
% 8.85/2.10 % (3260488)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=652648580:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.85/2.10 % (3260487)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2071800029:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.85/2.10 % (3260488)Instruction limit reached!
% 8.85/2.10 % (3260488)------------------------------
% 8.85/2.10 % (3260488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260488)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260488)Termination reason: Instruction limit
% 8.85/2.10 % (3260488)Termination phase: Saturation
% 8.85/2.10 % (3260488)Time elapsed: 0.038 s
% 8.85/2.10 % (3260488)Peak memory usage: 90 MB
% 8.85/2.10 % (3260488)Instructions burned: 130 (million)
% 8.85/2.10 % (3260487)Instruction limit reached!
% 8.85/2.10 % (3260487)------------------------------
% 8.85/2.10 % (3260487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260490)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2949247874:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.85/2.10 % (3260487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260487)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260487)Termination reason: Instruction limit
% 8.85/2.10 % (3260487)Termination phase: Saturation
% 8.85/2.10 % (3260487)Time elapsed: 0.073 s
% 8.85/2.10 % (3260487)Peak memory usage: 91 MB
% 8.85/2.10 % (3260487)Instructions burned: 114 (million)
% 8.85/2.10 % (3260493)lrs+10_1_sil=8000:sp=occurrence:random_seed=325293016:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.85/2.10 % (3260490)Instruction limit reached!
% 8.85/2.10 % (3260490)------------------------------
% 8.85/2.10 % (3260490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260490)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260490)Termination reason: Instruction limit
% 8.85/2.10 % (3260490)Termination phase: Saturation
% 8.85/2.10 % (3260490)Time elapsed: 0.073 s
% 8.85/2.10 % (3260490)Peak memory usage: 89 MB
% 8.85/2.10 % (3260490)Instructions burned: 114 (million)
% 8.85/2.10 % (3260495)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=668418513:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.85/2.10 % (3260497)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3398924284:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.85/2.10 % (3260463)First to succeed.
% 8.85/2.10 % (3260463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3260457"
% 8.85/2.10 % (3260462)Also succeeded, but the first one will report.
% 8.85/2.10 % (3260493)Instruction limit reached!
% 8.85/2.10 % (3260493)------------------------------
% 8.85/2.10 % (3260493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260493)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260493)Termination reason: Instruction limit
% 8.85/2.10 % (3260493)Termination phase: Saturation
% 8.85/2.10 % (3260493)Time elapsed: 0.318 s
% 8.85/2.10 % (3260493)Peak memory usage: 103 MB
% 8.85/2.10 % (3260493)Instructions burned: 907 (million)
% 8.85/2.10 % (3260495)Instruction limit reached!
% 8.85/2.10 % (3260495)------------------------------
% 8.85/2.10 % (3260495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260495)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260495)Termination reason: Instruction limit
% 8.85/2.10 % (3260495)Termination phase: Saturation
% 8.85/2.10 % (3260495)Time elapsed: 0.271 s
% 8.85/2.10 % (3260495)Peak memory usage: 93 MB
% 8.85/2.10 % (3260495)Instructions burned: 437 (million)
% 8.85/2.10 % (3260464)Also succeeded, but the first one will report.
% 8.85/2.10 % (3260500)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=405358257:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.85/2.10 % (3260500)Instruction limit reached!
% 8.85/2.10 % (3260500)------------------------------
% 8.85/2.10 % (3260500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/2.10 % (3260500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/2.10 % (3260500)CaDiCaL version: 2.1.3
% 8.85/2.10 % (3260500)Termination reason: Instruction limit
% 8.85/2.10 % (3260500)Termination phase: Saturation
% 8.85/2.10 % (3260500)Time elapsed: 0.044 s
% 8.85/2.10 % (3260500)Peak memory usage: 92 MB
% 8.85/2.10 % (3260500)Instructions burned: 137 (million)
% 8.85/2.10 % (3260463)Refutation found. Thanks to Tanya!
% 8.85/2.10 % SZS status Theorem for theBenchmark
% 8.85/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 9.32/2.23 % (3260463)------------------------------
% 9.32/2.23 % (3260463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.23 % (3260463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.23 % (3260463)CaDiCaL version: 2.1.3
% 9.32/2.23 % (3260463)Termination reason: Refutation
% 9.32/2.23 % (3260463)Time elapsed: 0.834 s
% 9.32/2.23 % (3260463)Peak memory usage: 139 MB
% 9.32/2.23 % (3260463)Instructions burned: 1323 (million)
% 9.32/2.23 % (3260463)------------------------------
% 9.32/2.23 % (3260463)------------------------------
% 9.32/2.23 % (3260457)Success in time 1.261 s
% 9.32/2.23 % Vampire exiting
%------------------------------------------------------------------------------