%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC259-1 : 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 : n009.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 01:05:18 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 4 def)
% Number of atoms : 67 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 30 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f219,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f227,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f423,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f425,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f440,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f442,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f443,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f220,f440,f423]) ).
fof(f465,definition,
( spl0_9
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f467,plain,
( ssItem(sk5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f208,f465,f423]) ).
fof(f480,definition,
( spl0_12
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f481,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f509,plain,
spl0_12,
inference(avatar_split_clause,[],[f67,f480]) ).
fof(f543,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f481,f442]) ).
fof(f544,plain,
( ~ ssItem(sk5)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f543,f227]) ).
fof(f545,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f544,f467]) ).
fof(f546,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f547,plain,
( ~ totalorderedP(nil)
| ~ spl0_1 ),
inference(superposition,[],[f227,f425]) ).
fof(f550,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f547,f4]) ).
fof(f551,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f550]) ).
cnf(s4,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f443]) ).
cnf(s13,plain,
( spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f468]) ).
cnf(s22,plain,
spl0_12,
inference(sat_conversion,[],[f509]) ).
cnf(s26,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f546]) ).
cnf(s27,plain,
~ spl0_1,
inference(sat_conversion,[],[f551]) ).
cnf(s32,plain,
spl0_9,
inference(rat,[],[s13,s27]) ).
cnf(s33,plain,
~ spl0_5,
inference(rat,[],[s26,s22,s32]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s4,s33,s27]) ).
fof(f552,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC259-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n009.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 08:45:23 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.25 % (2893343)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (2893349)% WARNING: option uhcvi not known.
% 0.07/0.25 % (2893349)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3687509213:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (2893349) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2893343-2893349"...
% 0.07/0.25 % (2893349)...printing done.
% 0.07/0.25 % (2893349)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (2893349)------------------------------
% 0.07/0.25 % (2893349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (2893349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (2893349)CaDiCaL version: 2.1.3
% 0.07/0.25 % (2893349)Termination reason: Refutation
% 0.07/0.25 % (2893349)Time elapsed: 0.004 s
% 0.07/0.25 % (2893349)Peak memory usage: 13 MB
% 0.07/0.25 % (2893349)Instructions burned: 9 (million)
% 0.07/0.25 % (2893343)Success in time 0.033 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------