%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC276-1 : 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 : n019.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 01:05:22 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 4 def)
% Number of atoms : 61 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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/sandbox/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ totalorderedP(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,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f249,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f251,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f258,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f260,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f213,f258,f249]) ).
fof(f269,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f272,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f208,f269,f249]) ).
fof(f284,definition,
( spl0_8
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f285,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f313,plain,
spl0_8,
inference(avatar_split_clause,[],[f67,f284]) ).
fof(f374,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f285,f260]) ).
fof(f375,plain,
( ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f374,f217]) ).
fof(f398,plain,
( ~ spl0_5
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f375,f284,f258,f269]) ).
fof(f400,plain,
( ~ totalorderedP(nil)
| ~ spl0_1 ),
inference(superposition,[],[f217,f251]) ).
fof(f402,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f400,f4]) ).
fof(f403,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f402]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f261]) ).
cnf(s5,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f272]) ).
cnf(s14,plain,
spl0_8,
inference(sat_conversion,[],[f313]) ).
cnf(s23,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f398]) ).
cnf(s24,plain,
~ spl0_1,
inference(sat_conversion,[],[f403]) ).
cnf(s29,plain,
spl0_5,
inference(rat,[],[s5,s24]) ).
cnf(s30,plain,
~ spl0_3,
inference(rat,[],[s23,s14,s29]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s2,s30,s24]) ).
fof(f404,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC276-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 08:50:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.19/0.27 % (3861385)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3861393)dis+10_1_sil=32000:sp=arity:random_seed=368437395:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (3861391)% WARNING: option uhcvi not known.
% 0.19/0.27 % (3861393) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3861385-3861393"...
% 0.19/0.27 % (3861393)...printing done.
% 0.19/0.27 % (3861393)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3861393)------------------------------
% 0.19/0.27 % (3861393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3861393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3861393)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3861393)Termination reason: Refutation
% 0.19/0.27 % (3861393)Time elapsed: 0.003 s
% 0.19/0.27 % (3861393)Peak memory usage: 12 MB
% 0.19/0.27 % (3861393)Instructions burned: 8 (million)
% 0.19/0.27 % (3861385)Success in time 0.033 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------