%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC315-1 : 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 : n002.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 01:05:31 PM UTC 2026
% Result : Unsatisfiable 1.91s 0.54s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 37
% Syntax : Number of formulae : 149 ( 18 unt; 14 def)
% Number of atoms : 389 ( 88 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 452 ( 212 ~; 226 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
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(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
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] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
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(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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssList(sk6)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk2 = app(cons(sk5,nil),sk6)
| nil = sk2 ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( app(sk6,cons(sk5,nil)) != sk1
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk1 != app(sk6,cons(sk5,nil))
| nil = sk2 ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( ssList(sk6)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f216,plain,
( sk2 = app(cons(sk5,nil),sk6)
| nil != sk1 ),
inference(reorient_equations,[],[f215]) ).
fof(f219,negated_conjecture,
( ssItem(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f220,negated_conjecture,
( ssList(sk8)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f221,negated_conjecture,
( app(cons(sk7,nil),sk8) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f222,plain,
( sk4 = app(cons(sk7,nil),sk8)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f221]) ).
fof(f223,negated_conjecture,
( app(sk8,cons(sk7,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f224,plain,
( sk3 = app(sk8,cons(sk7,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f223]) ).
fof(f227,plain,
( ssItem(sk5)
| nil = sk4 ),
inference(definition_unfolding,[],[f207,f204]) ).
fof(f228,plain,
( ssItem(sk5)
| nil != sk3 ),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f229,plain,
( ssList(sk6)
| nil = sk4 ),
inference(definition_unfolding,[],[f209,f204]) ).
fof(f230,plain,
( sk4 = app(cons(sk5,nil),sk6)
| nil = sk4 ),
inference(definition_unfolding,[],[f211,f204,f204]) ).
fof(f231,plain,
( sk3 != app(sk6,cons(sk5,nil))
| nil = sk4 ),
inference(definition_unfolding,[],[f213,f205,f204]) ).
fof(f232,plain,
( ssList(sk6)
| nil != sk3 ),
inference(definition_unfolding,[],[f214,f205]) ).
fof(f233,plain,
( sk4 = app(cons(sk5,nil),sk6)
| nil != sk3 ),
inference(definition_unfolding,[],[f216,f204,f205]) ).
fof(f266,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f268,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl0_2
<=> sk3 = app(sk8,cons(sk7,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f272,plain,
( sk3 = app(sk8,cons(sk7,nil))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f224,f270,f266]) ).
fof(f275,definition,
( spl0_3
<=> sk4 = app(cons(sk7,nil),sk8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f277,plain,
( sk4 = app(cons(sk7,nil),sk8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f278,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f222,f275,f266]) ).
fof(f280,definition,
( spl0_4
<=> ssList(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f282,plain,
( ssList(sk8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f220,f280,f266]) ).
fof(f285,definition,
( spl0_5
<=> ssItem(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f287,plain,
( ssItem(sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f219,f285,f266]) ).
fof(f290,definition,
( spl0_6
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f294,definition,
( spl0_7
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f296,plain,
( sk3 != app(sk6,cons(sk5,nil))
| spl0_7 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f299,definition,
( spl0_8
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f301,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f302,plain,
( ~ spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f233,f299,f290]) ).
fof(f304,definition,
( spl0_9
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f306,plain,
( ssList(sk6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,plain,
( ~ spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f232,f304,f290]) ).
fof(f309,definition,
( spl0_10
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f311,plain,
( nil = sk4
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f312,plain,
( spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f231,f294,f309]) ).
fof(f313,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f230,f299,f309]) ).
fof(f314,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f229,f304,f309]) ).
fof(f316,definition,
( spl0_11
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f318,plain,
( ssItem(sk5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( ~ spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f228,f316,f290]) ).
fof(f320,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f227,f316,f309]) ).
fof(f321,plain,
( ~ spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f206,f290,f309]) ).
fof(f327,definition,
( spl0_13
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f329,plain,
( ~ ssList(nil)
| spl0_13 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f366,plain,
( nil = app(cons(sk5,nil),sk6)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f301,f311]) ).
fof(f508,plain,
( nil != nil
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f122,f366]) ).
fof(f513,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f508]) ).
fof(f516,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f513,f306]) ).
fof(f528,definition,
( spl0_23
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f530,plain,
( nil = cons(sk5,nil)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f532,definition,
( spl0_24
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f534,plain,
( ~ ssList(cons(sk5,nil))
| spl0_24 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f535,plain,
( spl0_23
| ~ spl0_24
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f516,f309,f304,f299,f532,f528]) ).
fof(f548,plain,
( nil != nil
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_23 ),
inference(superposition,[],[f100,f530]) ).
fof(f552,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f548]) ).
fof(f599,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_24 ),
inference(resolution,[],[f534,f86]) ).
fof(f603,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_24 ),
inference(avatar_split_clause,[],[f599,f532,f327,f316]) ).
fof(f607,plain,
( ~ spl0_13
| ~ spl0_11
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f552,f528,f316,f327]) ).
fof(f609,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f268,f102]) ).
fof(f610,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f609,f203]) ).
fof(f620,plain,
( spl0_10
| ~ spl0_13
| spl0_1 ),
inference(avatar_split_clause,[],[f610,f266,f327,f309]) ).
fof(f634,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f329,f8]) ).
fof(f635,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f727,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl0_11 ),
inference(resolution,[],[f126,f318]) ).
fof(f728,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk7,X0) = app(cons(sk7,nil),X0) )
| ~ spl0_5 ),
inference(resolution,[],[f126,f287]) ).
fof(f765,plain,
( app(cons(sk5,nil),sk6) = cons(sk5,sk6)
| ~ spl0_9
| ~ spl0_11 ),
inference(resolution,[],[f727,f306]) ).
fof(f768,plain,
( sk4 = cons(sk5,sk6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f765,f301]) ).
fof(f1696,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 )
| ~ spl0_11 ),
inference(resolution,[],[f96,f318]) ).
fof(f1697,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk7,X0)) = X0 )
| ~ spl0_5 ),
inference(resolution,[],[f96,f287]) ).
fof(f1888,plain,
( sk6 = tl(cons(sk5,sk6))
| ~ spl0_9
| ~ spl0_11 ),
inference(resolution,[],[f1696,f306]) ).
fof(f1891,plain,
( sk6 = tl(sk4)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1888,f768]) ).
fof(f1960,plain,
( sk8 = tl(cons(sk7,sk8))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f1697,f282]) ).
fof(f2311,plain,
( ! [X0] :
( ~ ssList(X0)
| sk5 = hd(cons(sk5,X0)) )
| ~ spl0_11 ),
inference(resolution,[],[f97,f318]) ).
fof(f2312,plain,
( ! [X0] :
( ~ ssList(X0)
| sk7 = hd(cons(sk7,X0)) )
| ~ spl0_5 ),
inference(resolution,[],[f97,f287]) ).
fof(f2367,plain,
( sk5 = hd(cons(sk5,sk6))
| ~ spl0_9
| ~ spl0_11 ),
inference(resolution,[],[f2311,f306]) ).
fof(f2370,plain,
( sk5 = hd(sk4)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2367,f768]) ).
fof(f2563,plain,
( sk7 = hd(cons(sk7,sk8))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f2312,f282]) ).
fof(f6574,plain,
( app(cons(sk7,nil),sk8) = cons(sk7,sk8)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f728,f282]) ).
fof(f6575,plain,
( sk4 = cons(sk7,sk8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f6574,f277]) ).
fof(f6576,plain,
( sk7 = hd(sk4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f2563,f6575]) ).
fof(f6577,plain,
( sk8 = tl(sk4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f1960,f6575]) ).
fof(f6592,plain,
( sk6 = sk8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f6577,f1891]) ).
fof(f6593,plain,
( sk5 = sk7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f6576,f2370]) ).
fof(f6646,plain,
( sk3 = app(sk8,cons(sk5,nil))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f272,f6593]) ).
fof(f6731,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f6646,f6592]) ).
fof(f6732,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f6731,f296]) ).
fof(f6733,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f6732]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f273]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f278]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f283]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f288]) ).
cnf(s6,plain,
( ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f302]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f307]) ).
cnf(s8,plain,
( ~ spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f312]) ).
cnf(s9,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f313]) ).
cnf(s10,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f314]) ).
cnf(s11,plain,
( ~ spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f319]) ).
cnf(s12,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f320]) ).
cnf(s13,plain,
( spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f321]) ).
cnf(s22,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f535]) ).
cnf(s29,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_24 ),
inference(sat_conversion,[],[f603]) ).
cnf(s32,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_23 ),
inference(sat_conversion,[],[f607]) ).
cnf(s34,plain,
( spl0_1
| spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f620]) ).
cnf(s35,plain,
spl0_13,
inference(sat_conversion,[],[f635]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f6733]) ).
cnf(s48,plain,
( spl0_1
| spl0_10 ),
inference(rat,[],[s34,s35]) ).
cnf(s49,plain,
( ~ spl0_11
| ~ spl0_23 ),
inference(rat,[],[s32,s35]) ).
cnf(s51,plain,
( ~ spl0_11
| spl0_24 ),
inference(rat,[],[s29,s35]) ).
cnf(s58,plain,
~ spl0_10,
inference(rat,[],[s22,s51,s49,s6,s7,s11,s13]) ).
cnf(s59,plain,
spl0_1,
inference(rat,[],[s48,s58]) ).
cnf(s60,plain,
spl0_11,
inference(rat,[],[s12,s58]) ).
cnf(s61,plain,
spl0_9,
inference(rat,[],[s10,s58]) ).
cnf(s62,plain,
spl0_8,
inference(rat,[],[s9,s58]) ).
cnf(s63,plain,
~ spl0_7,
inference(rat,[],[s8,s58]) ).
cnf(s64,plain,
spl0_5,
inference(rat,[],[s4,s59]) ).
cnf(s65,plain,
spl0_4,
inference(rat,[],[s3,s59]) ).
cnf(s66,plain,
spl0_3,
inference(rat,[],[s2,s59]) ).
cnf(s67,plain,
spl0_2,
inference(rat,[],[s1,s59]) ).
cnf(s70,plain,
$false,
inference(rat,[],[s47,s60,s61,s67,s66,s64,s65,s62,s63]) ).
fof(f6734,plain,
$false,
inference(avatar_sat_refutation,[],[s70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC315-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n002.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 09:04:22 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 1.91/0.54 % (224623)Will run a generic schedule for satisfiability detection.
% 1.91/0.54 % (224629)% WARNING: option uhcvi not known.
% 1.91/0.54 % (224629)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=244891669:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.91/0.54 % (224628)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3873810820_2999 on theBenchmark for (2999ds/0Mi)
% 1.91/0.54 % (224631)dis+10_1_sil=32000:sp=arity:random_seed=3586126784:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.91/0.54 % (224630)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1396602282:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.91/0.54 % (224632)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4120309820:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.91/0.54 % (224633)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1172230600:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.91/0.54 % (224634)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2652365545:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.91/0.54 % TRYING [1]
% 1.91/0.54 % TRYING [2]
% 1.91/0.54 % TRYING [3]
% 1.91/0.54 % TRYING [4]
% 1.91/0.54 % (224631)Instruction limit reached!
% 1.91/0.54 % (224631)------------------------------
% 1.91/0.54 % (224631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.54 % (224631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.54 % (224631)CaDiCaL version: 2.1.3
% 1.91/0.54 % (224631)Termination reason: Instruction limit
% 1.91/0.54 % (224631)Termination phase: Saturation
% 1.91/0.54 % (224631)Time elapsed: 0.061 s
% 1.91/0.54 % (224631)Peak memory usage: 13 MB
% 1.91/0.54 % (224631)Instructions burned: 104 (million)
% 1.91/0.54 % (224632)Instruction limit reached!
% 1.91/0.54 % (224632)------------------------------
% 1.91/0.54 % (224632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.54 % (224632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.54 % (224632)CaDiCaL version: 2.1.3
% 1.91/0.54 % (224632)Termination reason: Instruction limit
% 1.91/0.54 % (224632)Termination phase: Saturation
% 1.91/0.54 % (224632)Time elapsed: 0.062 s
% 1.91/0.54 % (224632)Peak memory usage: 13 MB
% 1.91/0.54 % (224632)Instructions burned: 116 (million)
% 1.91/0.54 % (224633)Instruction limit reached!
% 1.91/0.54 % (224633)------------------------------
% 1.91/0.54 % (224633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.54 % (224633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.54 % (224633)CaDiCaL version: 2.1.3
% 1.91/0.54 % (224633)Termination reason: Instruction limit
% 1.91/0.54 % (224633)Termination phase: Saturation
% 1.91/0.54 % (224633)Time elapsed: 0.069 s
% 1.91/0.54 % (224633)Peak memory usage: 14 MB
% 1.91/0.54 % (224633)Instructions burned: 133 (million)
% 1.91/0.54 % (224642)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=394474751:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.91/0.54 % (224643)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4245009172:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.91/0.54 % (224644)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3532000448:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.91/0.54 % TRYING [1]
% 1.91/0.54 % (224634)Instruction limit reached!
% 1.91/0.54 % (224634)------------------------------
% 1.91/0.54 % (224634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.54 % (224634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.54 % (224634)CaDiCaL version: 2.1.3
% 1.91/0.54 % (224634)Termination reason: Instruction limit
% 1.91/0.54 % (224634)Termination phase: Saturation
% 1.91/0.54 % (224634)Time elapsed: 0.096 s
% 1.91/0.54 % (224634)Peak memory usage: 14 MB
% 1.91/0.54 % (224634)Instructions burned: 159 (million)
% 1.91/0.54 % TRYING [2]
% 1.91/0.54 % TRYING [5]
% 1.91/0.54 % TRYING [3]
% 1.91/0.54 % (224648)ott-21_1_sil=16000:fs=off:random_seed=3061745959:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.91/0.54 % TRYING [4]
% 1.91/0.54 % (224643)Instruction limit reached!
% 1.91/0.54 % (224643)------------------------------
% 1.91/0.54 % (224643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.54 % (224643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.54 % (224643)CaDiCaL version: 2.1.3
% 1.91/0.54 % (224643)Termination reason: Instruction limit
% 1.91/0.54 % (224643)Termination phase: Saturation
% 1.91/0.54 % (224643)Time elapsed: 0.066 s
% 1.91/0.54 % (224643)Peak memory usage: 13 MB
% 1.91/0.54 % (224643)Instructions burned: 133 (million)
% 1.91/0.54 % (224650)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3872533002:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.91/0.54 % TRYING [5]
% 1.91/0.54 % (224648)Instruction limit reached!
% 1.91/0.54 % (224648)------------------------------
% 1.91/0.54 % (224648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.54 % (224648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.54 % (224648)CaDiCaL version: 2.1.3
% 1.91/0.54 % (224648)Termination reason: Instruction limit
% 1.91/0.54 % (224648)Termination phase: Saturation
% 1.91/0.54 % (224648)Time elapsed: 0.095 s
% 1.91/0.54 % (224648)Peak memory usage: 13 MB
% 1.91/0.54 % (224648)Instructions burned: 186 (million)
% 1.91/0.54 % (224652)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3132449597:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.91/0.54 % TRYING [1]
% 1.91/0.54 % TRYING [2]
% 1.91/0.54 % TRYING [3]
% 1.91/0.54 % TRYING [6]
% 1.91/0.54 % (224644) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-224623-224644"...
% 1.91/0.54 % (224644)...printing done.
% 1.91/0.54 % (224644)Refutation found. Thanks to Tanya!
% 1.91/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.91/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.54 % (224644)------------------------------
% 1.91/0.54 % (224644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.54 % (224644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.54 % (224644)CaDiCaL version: 2.1.3
% 1.91/0.54 % (224644)Termination reason: Refutation
% 1.91/0.54 % (224644)Time elapsed: 0.203 s
% 1.91/0.54 % (224644)Peak memory usage: 16 MB
% 1.91/0.54 % (224644)Instructions burned: 358 (million)
% 1.91/0.54 % (224623)Success in time 0.335 s
% 1.91/0.54 % Vampire exiting
%------------------------------------------------------------------------------