%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC416-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:05:57 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.33s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 139 ( 29 unt; 12 def)
% Number of atoms : 388 ( 62 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 434 ( 185 ~; 237 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f212,negated_conjecture,
! [X2,X0,X1] :
( ~ ssList(X0)
| sk2 != X0
| ~ ssList(X1)
| app(X1,sk1) != X0
| ~ ssItem(X2)
| cons(X2,nil) != X1
| hd(sk2) != X2
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( app(cons(sk5,nil),sk3) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f215,plain,
( sk4 = app(cons(sk5,nil),sk3)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f214]) ).
fof(f216,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f218,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| sk4 != X0
| ~ ssList(X1)
| app(X1,sk3) != X0
| ~ ssItem(X2)
| cons(X2,nil) != X1
| hd(sk4) != X2
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f212,f204,f205,f204,f204]) ).
fof(f230,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f231,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f251,plain,
! [X2,X1] :
( ~ ssList(sk4)
| ~ ssList(X1)
| sk4 != app(X1,sk3)
| ~ ssItem(X2)
| cons(X2,nil) != X1
| hd(sk4) != X2
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f223]) ).
fof(f252,plain,
! [X2] :
( ~ ssList(sk4)
| ~ ssList(cons(X2,nil))
| sk4 != app(cons(X2,nil),sk3)
| ~ ssItem(X2)
| hd(sk4) != X2
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f251]) ).
fof(f253,plain,
( ~ ssList(sk4)
| ~ ssList(cons(hd(sk4),nil))
| sk4 != app(cons(hd(sk4),nil),sk3)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f252]) ).
fof(f258,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f259,plain,
singletonP(nil),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f301,plain,
! [X0] :
( ssItem(hd(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f311,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ssList(X1)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f322,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ssList(X1)
| hd(cons(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f325,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ssList(X1)
| ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f335,plain,
! [X1] :
( neq(X1,X1)
| ssList(X1)
| ssList(X1) ),
inference(consistent_polarity_flipping,[],[f230]) ).
fof(f336,plain,
! [X0] :
( ~ singletonP(cons(X0,nil))
| ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f231]) ).
fof(f338,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ssList(X1)
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f340,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f398,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f401,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f203]) ).
fof(f402,plain,
( ~ neq(sk4,nil)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f407,plain,
( ssList(sk4)
| ssList(cons(hd(sk4),nil))
| sk4 != app(cons(hd(sk4),nil),sk3)
| ~ ssItem(hd(sk4))
| neq(nil,sk4)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f253]) ).
fof(f408,plain,
( ssItem(sk5)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f409,plain,
( sk4 = app(cons(sk5,nil),sk3)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f410,plain,
~ neq(sk4,nil),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f415,plain,
! [X1] :
( neq(X1,X1)
| ssList(X1) ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f418,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f419,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f422,definition,
( spl0_2
<=> sk4 = app(cons(sk5,nil),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f424,plain,
( sk4 = app(cons(sk5,nil),sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f425,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f409,f422,f418]) ).
fof(f427,definition,
( spl0_3
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f429,plain,
( ssItem(sk5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f430,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f408,f427,f418]) ).
fof(f432,definition,
( spl0_4
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f434,plain,
( neq(nil,sk4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f436,definition,
( spl0_5
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f438,plain,
( ~ ssItem(hd(sk4))
| spl0_5 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f440,definition,
( spl0_6
<=> sk4 = app(cons(hd(sk4),nil),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f442,plain,
( sk4 != app(cons(hd(sk4),nil),sk3)
| spl0_6 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f444,definition,
( spl0_7
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f446,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f448,definition,
( spl0_8
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f449,plain,
( ~ ssList(sk4)
| spl0_8 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f451,plain,
( spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f407,f448,f444,f440,f436,f432,f418]) ).
fof(f455,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f410,f418]) ).
fof(f456,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f401,f448]) ).
fof(f462,definition,
( spl0_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f463,plain,
( ~ ssList(nil)
| spl0_10 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f498,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f258,f462]) ).
fof(f563,plain,
( ssList(sk4)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f301,f438]) ).
fof(f564,plain,
( nil = sk4
| spl0_5
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f563,f449]) ).
fof(f566,plain,
( ~ neq(nil,nil)
| spl0_1
| spl0_5
| spl0_8 ),
inference(superposition,[],[f419,f564]) ).
fof(f592,plain,
( ssList(nil)
| spl0_1
| spl0_5
| spl0_8 ),
inference(resolution,[],[f566,f415]) ).
fof(f594,plain,
( $false
| spl0_1
| spl0_5
| spl0_8
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f592,f463]) ).
fof(f595,plain,
( spl0_1
| spl0_5
| spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f641,plain,
( ! [X0] :
( ssList(X0)
| sk5 = hd(cons(sk5,X0)) )
| ~ spl0_3 ),
inference(resolution,[],[f322,f429]) ).
fof(f707,definition,
( spl0_18
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f708,plain,
( nil != sk4
| spl0_18 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f769,plain,
( nil != sk4
| ssList(sk3)
| ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_2 ),
inference(superposition,[],[f338,f424]) ).
fof(f772,plain,
( nil != sk4
| ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f769,f398]) ).
fof(f774,definition,
( spl0_24
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f776,plain,
( nil = cons(sk5,nil)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f778,definition,
( spl0_25
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f779,plain,
( ~ ssList(cons(sk5,nil))
| spl0_25 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f780,plain,
( ssList(cons(sk5,nil))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f781,plain,
( spl0_24
| spl0_25
| ~ spl0_18
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f772,f422,f707,f778,f774]) ).
fof(f828,plain,
( ! [X0] :
( ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl0_3 ),
inference(resolution,[],[f340,f429]) ).
fof(f873,plain,
( ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_25 ),
inference(resolution,[],[f780,f311]) ).
fof(f874,plain,
( ~ ssItem(sk5)
| spl0_10
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f873,f463]) ).
fof(f875,plain,
( $false
| ~ spl0_3
| spl0_10
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f874,f429]) ).
fof(f876,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f1035,plain,
( ~ singletonP(nil)
| ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_24 ),
inference(superposition,[],[f336,f776]) ).
fof(f1047,plain,
( ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1035,f259]) ).
fof(f1053,plain,
( ~ ssItem(sk5)
| spl0_10
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1047,f463]) ).
fof(f1056,plain,
( $false
| ~ spl0_3
| spl0_10
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1053,f429]) ).
fof(f1057,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1930,plain,
( ssList(nil)
| ssList(sk4)
| nil = sk4
| ~ spl0_4 ),
inference(resolution,[],[f434,f325]) ).
fof(f1931,plain,
( ssList(sk4)
| nil = sk4
| ~ spl0_4
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f1930,f463]) ).
fof(f1933,plain,
( nil = sk4
| ~ spl0_4
| spl0_8
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f1931,f449]) ).
fof(f1943,plain,
( $false
| ~ spl0_4
| spl0_8
| spl0_10
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1933,f708]) ).
fof(f1944,plain,
( ~ spl0_4
| spl0_8
| spl0_10
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f2413,plain,
( sk5 = hd(cons(sk5,sk3))
| ~ spl0_3 ),
inference(resolution,[],[f641,f398]) ).
fof(f2656,plain,
( app(cons(sk5,nil),sk3) = cons(sk5,sk3)
| ~ spl0_3 ),
inference(resolution,[],[f828,f398]) ).
fof(f5051,plain,
( sk4 = cons(sk5,sk3)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2656,f424]) ).
fof(f5557,plain,
( sk5 = hd(sk4)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f2413,f5051]) ).
fof(f5559,plain,
( sk4 != app(cons(sk5,nil),sk3)
| ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(superposition,[],[f442,f5557]) ).
fof(f5581,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f5559,f424]) ).
fof(f5582,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f5581]) ).
fof(f5588,plain,
( ssList(cons(sk5,nil))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f446,f5557]) ).
fof(f5589,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f5588,f779]) ).
fof(f5590,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f5589]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f425]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f430]) ).
cnf(s3,plain,
( spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f451]) ).
cnf(s7,plain,
~ spl0_1,
inference(sat_conversion,[],[f455]) ).
cnf(s8,plain,
~ spl0_8,
inference(sat_conversion,[],[f456]) ).
cnf(s19,plain,
~ spl0_10,
inference(sat_conversion,[],[f498]) ).
cnf(s21,plain,
( spl0_1
| spl0_5
| spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f595]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_18
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f781]) ).
cnf(s29,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_25 ),
inference(sat_conversion,[],[f876]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_24 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s79,plain,
( ~ spl0_4
| spl0_8
| spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f1944]) ).
cnf(s190,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f5582]) ).
cnf(s191,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| spl0_25 ),
inference(sat_conversion,[],[f5590]) ).
cnf(s197,plain,
spl0_5,
inference(rat,[],[s21,s19,s8,s7]) ).
cnf(s198,plain,
( spl0_4
| ~ spl0_6
| spl0_7 ),
inference(rat,[],[s3,s8,s197,s7]) ).
cnf(s199,plain,
spl0_3,
inference(rat,[],[s2,s7]) ).
cnf(s200,plain,
~ spl0_24,
inference(rat,[],[s39,s19,s199]) ).
cnf(s201,plain,
~ spl0_25,
inference(rat,[],[s29,s19,s199]) ).
cnf(s205,plain,
spl0_2,
inference(rat,[],[s1,s7]) ).
cnf(s206,plain,
~ spl0_7,
inference(rat,[],[s191,s201,s199,s205]) ).
cnf(s207,plain,
spl0_6,
inference(rat,[],[s190,s199,s205]) ).
cnf(s211,plain,
~ spl0_18,
inference(rat,[],[s26,s201,s200,s205]) ).
cnf(s212,plain,
spl0_4,
inference(rat,[],[s198,s206,s207]) ).
cnf(s217,plain,
$false,
inference(rat,[],[s79,s8,s19,s211,s212]) ).
fof(f5591,plain,
$false,
inference(avatar_sat_refutation,[],[s217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC416-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:35:31 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.33 % (3253186)Will run a generic schedule for satisfiability detection.
% 0.19/0.33 % (3253192)% WARNING: option uhcvi not known.
% 0.19/0.33 % (3253192)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=923450629:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.33 % (3253191)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1067763121_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.33 % (3253193)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3585252564:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.33 % (3253194)dis+10_1_sil=32000:sp=arity:random_seed=3903529288:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.33 % (3253195)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2456517236:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.33 % (3253196)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1261939025:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.33 % (3253197)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2285041080:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.33 % TRYING [1]
% 0.19/0.33 % TRYING [2]
% 0.19/0.33 % TRYING [3]
% 0.19/0.33 % TRYING [4]
% 0.19/0.33 % (3253192) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3253186-3253192"...
% 0.19/0.33 % (3253192)...printing done.
% 0.19/0.33 % (3253192)Refutation found. Thanks to Tanya!
% 0.19/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.33 % (3253192)------------------------------
% 0.19/0.33 % (3253192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (3253192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (3253192)CaDiCaL version: 2.1.3
% 0.19/0.33 % (3253192)Termination reason: Refutation
% 0.19/0.33 % (3253192)Time elapsed: 0.064 s
% 0.19/0.33 % (3253192)Peak memory usage: 15 MB
% 0.19/0.33 % (3253192)Instructions burned: 202 (million)
% 0.19/0.33 % (3253186)Success in time 0.101 s
% 0.19/0.33 % Vampire exiting
%------------------------------------------------------------------------------