%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV132+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:20:18 PM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 2 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 145 ( 39 ~; 28 |; 50 &)
% ( 2 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ~ leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(s_best7,n3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0002) ).
fof(f54,negated_conjecture,
~ ( ( ~ leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(s_best7,n3) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f136,plain,
( ~ leq(s_best7,n3)
& ~ leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ~ leq(s_best7,n3)
& ~ leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) ) ),
inference(flattening,[],[f136]) ).
fof(f311,plain,
( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f320,plain,
~ leq(tptp_float_0_001,pv1341),
inference(cnf_transformation,[],[f137]) ).
fof(f321,plain,
~ leq(s_best7,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f516,plain,
leq(s_best7,n3),
inference(consistent_polarity_flipping,[],[f321]) ).
fof(f517,plain,
leq(tptp_float_0_001,pv1341),
inference(consistent_polarity_flipping,[],[f320]) ).
fof(f526,plain,
( ~ leq(tptp_float_0_001,pv1341)
| ~ leq(s_best7,n3) ),
inference(consistent_polarity_flipping,[],[f311]) ).
fof(f541,definition,
( spl31_2
<=> leq(tptp_float_0_001,pv1341) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f556,definition,
( spl31_5
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f559,plain,
( ~ spl31_5
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f526,f541,f556]) ).
fof(f580,plain,
spl31_2,
inference(avatar_split_clause,[],[f517,f541]) ).
fof(f581,plain,
spl31_5,
inference(avatar_split_clause,[],[f516,f556]) ).
cnf(s4,plain,
( ~ spl31_2
| ~ spl31_5 ),
inference(sat_conversion,[],[f559]) ).
cnf(s13,plain,
spl31_2,
inference(sat_conversion,[],[f580]) ).
cnf(s14,plain,
spl31_5,
inference(sat_conversion,[],[f581]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s4,s14,s13]) ).
fof(f582,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV132+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n015.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 10:02:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.25 % (2517160)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (2517166)% WARNING: option uhcvi not known.
% 0.09/0.25 % (2517166)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2306914505:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (2517166) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2517160-2517166"...
% 0.09/0.25 % (2517166)...printing done.
% 0.09/0.25 % (2517166)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (2517166)------------------------------
% 0.09/0.25 % (2517166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (2517166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (2517166)CaDiCaL version: 2.1.3
% 0.09/0.25 % (2517166)Termination reason: Refutation
% 0.09/0.25 % (2517166)Time elapsed: 0.004 s
% 0.09/0.25 % (2517166)Peak memory usage: 12 MB
% 0.09/0.25 % (2517166)Instructions burned: 12 (million)
% 0.09/0.25 % (2517160)Success in time 0.028 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------