%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC369-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 01:05:45 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 16 unt; 6 def)
% Number of atoms : 105 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 102 ( 47 ~; 49 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/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(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
~ segmentP(sk4,sk3),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f213,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f244,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f245,plain,
( ~ segmentP(sk4,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_2
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f250,plain,
( ~ neq(sk4,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f209,f248,f244]) ).
fof(f258,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f259,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f264,plain,
( nil = sk3
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f207,f262,f258]) ).
fof(f266,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f212,f244]) ).
fof(f272,definition,
( spl0_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f273,plain,
( ssList(nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f295,definition,
( spl0_12
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f297,plain,
( segmentP(nil,nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f298,plain,
( spl0_12
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f213,f272,f295]) ).
fof(f308,plain,
spl0_7,
inference(avatar_split_clause,[],[f8,f272]) ).
fof(f497,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_2 ),
inference(resolution,[],[f102,f250]) ).
fof(f500,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f497,f203]) ).
fof(f501,plain,
( nil = sk4
| spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f500,f273]) ).
fof(f504,plain,
( spl0_4
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f501,f272,f248,f258]) ).
fof(f512,plain,
( ~ segmentP(sk4,nil)
| spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f245,f264]) ).
fof(f517,plain,
( ~ segmentP(nil,nil)
| spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f512,f259]) ).
fof(f518,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f517,f297]) ).
fof(f519,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f518]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f251]) ).
cnf(s3,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f265]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f266]) ).
cnf(s10,plain,
( ~ spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f298]) ).
cnf(s14,plain,
spl0_7,
inference(sat_conversion,[],[f308]) ).
cnf(s16,plain,
( spl0_2
| spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f504]) ).
cnf(s17,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(sat_conversion,[],[f519]) ).
cnf(s18,plain,
spl0_12,
inference(rat,[],[s10,s14]) ).
cnf(s22,plain,
~ spl0_2,
inference(rat,[],[s1,s4]) ).
cnf(s23,plain,
spl0_4,
inference(rat,[],[s16,s14,s22]) ).
cnf(s24,plain,
~ spl0_5,
inference(rat,[],[s17,s18,s4,s23]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s3,s24,s23]) ).
fof(f520,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC369-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:23:41 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27 % (3717203)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3717211)dis+10_1_sil=32000:sp=arity:random_seed=3013448775:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (3717209)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3717211) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3717203-3717211"...
% 0.20/0.27 % (3717211)...printing done.
% 0.20/0.27 % (3717211)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3717211)------------------------------
% 0.20/0.27 % (3717211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3717211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3717211)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3717211)Termination reason: Refutation
% 0.20/0.27 % (3717211)Time elapsed: 0.005 s
% 0.20/0.27 % (3717211)Peak memory usage: 12 MB
% 0.20/0.27 % (3717211)Instructions burned: 13 (million)
% 0.20/0.27 % (3717203)Success in time 0.037 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------