%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC293-1 : 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 : 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 01:05:25 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 14 unt; 5 def)
% Number of atoms : 75 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 28 ~; 30 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause3) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ strictorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f212,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f212]) ).
fof(f217,plain,
~ strictorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f302,plain,
! [X0] :
( ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f427,plain,
( ~ ssItem(sk5)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f435,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f437,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f444,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f446,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f213,f444,f435]) ).
fof(f455,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f458,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f427,f455,f435]) ).
fof(f474,definition,
( spl0_9
<=> ! [X1] :
( ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f475,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ssItem(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f500,plain,
spl0_9,
inference(avatar_split_clause,[],[f302,f474]) ).
fof(f676,plain,
( ~ strictorderedP(nil)
| ~ spl0_1 ),
inference(superposition,[],[f217,f437]) ).
fof(f685,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f676,f3]) ).
fof(f686,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f703,plain,
( strictorderedP(sk3)
| ssItem(sk5)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f475,f446]) ).
fof(f705,definition,
( spl0_17
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f707,plain,
( strictorderedP(sk3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f708,plain,
( spl0_5
| spl0_17
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f703,f474,f444,f705,f455]) ).
fof(f709,plain,
( $false
| ~ spl0_17 ),
inference(resolution,[],[f707,f217]) ).
fof(f710,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f709]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f447]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f458]) ).
cnf(s15,plain,
spl0_9,
inference(sat_conversion,[],[f500]) ).
cnf(s19,plain,
~ spl0_1,
inference(sat_conversion,[],[f686]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f708]) ).
cnf(s23,plain,
~ spl0_17,
inference(sat_conversion,[],[f710]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_9 ),
inference(rat,[],[s22,s23]) ).
cnf(s29,plain,
~ spl0_5,
inference(rat,[],[s5,s19]) ).
cnf(s30,plain,
~ spl0_3,
inference(rat,[],[s24,s15,s29]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s2,s30,s19]) ).
fof(f711,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC293-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 08:58:07 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.26 % (221716)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (221727)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3882576688:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (221722)% WARNING: option uhcvi not known.
% 0.07/0.26 % (221727) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-221716-221727"...
% 0.07/0.26 % (221727)...printing done.
% 0.07/0.26 % (221727)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (221727)------------------------------
% 0.07/0.26 % (221727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (221727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (221727)CaDiCaL version: 2.1.3
% 0.07/0.26 % (221727)Termination reason: Refutation
% 0.07/0.26 % (221727)Time elapsed: 0.006 s
% 0.07/0.26 % (221727)Peak memory usage: 13 MB
% 0.07/0.26 % (221727)Instructions burned: 16 (million)
% 0.07/0.26 % (221716)Success in time 0.038 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------