%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV405+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:21:10 PM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 2 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 21 ~; 17 |; 6 &)
% ( 4 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 0 sgn 24 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax22) ).
fof(f24,axiom,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax36) ).
fof(f42,conjecture,
! [X0,X1] :
( check_cpq(triple(X0,create_slb,X1))
<=> ! [X2,X3] :
( pair_in_list(create_slb,X2,X3)
=> less_than(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l41_co) ).
fof(f43,negated_conjecture,
~ ! [X0,X1] :
( check_cpq(triple(X0,create_slb,X1))
<=> ! [X2,X3] :
( pair_in_list(create_slb,X2,X3)
=> less_than(X3,X2) ) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f82,plain,
? [X0,X1] :
( check_cpq(triple(X0,create_slb,X1))
<~> ! [X2,X3] :
( less_than(X3,X2)
| ~ pair_in_list(create_slb,X2,X3) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f89,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( ~ less_than(X3,X2)
& pair_in_list(create_slb,X2,X3) )
| ~ check_cpq(triple(X0,create_slb,X1)) )
& ( ! [X2,X3] :
( less_than(X3,X2)
| ~ pair_in_list(create_slb,X2,X3) )
| check_cpq(triple(X0,create_slb,X1)) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f90,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( ~ less_than(X3,X2)
& pair_in_list(create_slb,X2,X3) )
| ~ check_cpq(triple(X0,create_slb,X1)) )
& ( ! [X4,X5] :
( less_than(X5,X4)
| ~ pair_in_list(create_slb,X4,X5) )
| check_cpq(triple(X0,create_slb,X1)) ) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
( ( ( ~ less_than(sK3,sK2)
& pair_in_list(create_slb,sK2,sK3) )
| ~ check_cpq(triple(sK0,create_slb,sK1)) )
& ( ! [X4,X5] :
( less_than(X5,X4)
| ~ pair_in_list(create_slb,X4,X5) )
| check_cpq(triple(sK0,create_slb,sK1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f90]) ).
fof(f103,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f120,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f141,plain,
( pair_in_list(create_slb,sK2,sK3)
| ~ check_cpq(triple(sK0,create_slb,sK1)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f151,definition,
( spl4_1
<=> check_cpq(triple(sK0,create_slb,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f152,plain,
( ~ check_cpq(triple(sK0,create_slb,sK1))
| spl4_1 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f159,definition,
( spl4_3
<=> pair_in_list(create_slb,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f161,plain,
( pair_in_list(create_slb,sK2,sK3)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( ~ spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f141,f159,f151]) ).
fof(f168,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f120,f152]) ).
fof(f169,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f170,plain,
( $false
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f161,f103]) ).
fof(f171,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f170]) ).
cnf(s2,plain,
( ~ spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f162]) ).
cnf(s4,plain,
spl4_1,
inference(sat_conversion,[],[f169]) ).
cnf(s5,plain,
~ spl4_3,
inference(sat_conversion,[],[f171]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s5,s4]) ).
fof(f172,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV405+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n016.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 10:55:18 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.21/0.27 % (3549110)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (3549118)dis+10_1_sil=32000:sp=arity:random_seed=1075348021:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (3549118) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3549110-3549118"...
% 0.21/0.27 % (3549118)...printing done.
% 0.21/0.27 % (3549118)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (3549118)------------------------------
% 0.21/0.27 % (3549118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (3549118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (3549118)CaDiCaL version: 2.1.3
% 0.21/0.27 % (3549118)Termination reason: Refutation
% 0.21/0.27 % (3549118)Time elapsed: 0.001 s
% 0.21/0.27 % (3549118)Peak memory usage: 12 MB
% 0.21/0.27 % (3549118)Instructions burned: 3 (million)
% 0.21/0.27 % (3549110)Success in time 0.031 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------