%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV187+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 : n026.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 01:20:25 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 10 unt; 2 def)
% Number of atoms : 179 ( 42 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 236 ( 82 ~; 74 |; 56 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 41 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( gt(loopcounter,n1)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n135299) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> a_select3(q_init,X0,X1) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select3(center_init,X2,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> a_select2(muold_init,X3) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(rhoold_init,X4) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select2(sigmaold_init,X5) = init ) ) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(sigmaold_init,X6) = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0111) ).
fof(f54,negated_conjecture,
~ ( ( gt(loopcounter,n1)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n135299) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> a_select3(q_init,X0,X1) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select3(center_init,X2,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> a_select2(muold_init,X3) = init ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(rhoold_init,X4) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select2(sigmaold_init,X5) = init ) ) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(sigmaold_init,X6) = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ? [X6] :
( init != a_select2(sigmaold_init,X6)
& leq(n0,X6)
& leq(X6,n4) )
& gt(loopcounter,n1)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ! [X2] :
( a_select3(center_init,X2,n0) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ( ! [X3] :
( a_select2(muold_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( a_select2(rhoold_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( a_select2(sigmaold_init,X5) = init
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ? [X6] :
( init != a_select2(sigmaold_init,X6)
& leq(n0,X6)
& leq(X6,n4) )
& gt(loopcounter,n1)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ! [X2] :
( a_select3(center_init,X2,n0) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ( ! [X3] :
( a_select2(muold_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( a_select2(rhoold_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( a_select2(sigmaold_init,X5) = init
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f143]) ).
fof(f197,plain,
( ? [X0] :
( init != a_select2(sigmaold_init,X0)
& leq(n0,X0)
& leq(X0,n4) )
& gt(loopcounter,n1)
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ leq(n0,X1)
| ~ leq(X1,n135299) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ( ! [X4] :
( init = a_select2(muold_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X6] :
( init = a_select2(sigmaold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f144]) ).
fof(f198,plain,
( init != a_select2(sigmaold_init,sK31)
& leq(n0,sK31)
& leq(sK31,n4)
& gt(loopcounter,n1)
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ leq(n0,X1)
| ~ leq(X1,n135299) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ( ! [X4] :
( init = a_select2(muold_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X5] :
( init = a_select2(rhoold_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X6] :
( init = a_select2(sigmaold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X0,sK31)],[f197]) ).
fof(f309,plain,
! [X6] :
( init = a_select2(sigmaold_init,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f314,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f198]) ).
fof(f315,plain,
leq(sK31,n4),
inference(cnf_transformation,[],[f198]) ).
fof(f316,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f317,plain,
init != a_select2(sigmaold_init,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f387,definition,
( spl32_1
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f391,definition,
( spl32_2
<=> ! [X6] :
( init = a_select2(sigmaold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ) ),
introduced(definition,[new_symbols(definition,[spl32_2])],[avatar_definition]) ).
fof(f392,plain,
( ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(sigmaold_init,X6) )
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f393,plain,
( ~ spl32_1
| spl32_2 ),
inference(avatar_split_clause,[],[f309,f391,f387]) ).
fof(f402,plain,
spl32_1,
inference(avatar_split_clause,[],[f314,f387]) ).
fof(f403,plain,
( ~ leq(sK31,n4)
| init = a_select2(sigmaold_init,sK31)
| ~ spl32_2 ),
inference(resolution,[],[f392,f316]) ).
fof(f404,plain,
( init = a_select2(sigmaold_init,sK31)
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f403,f315]) ).
fof(f405,plain,
( $false
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f404,f317]) ).
fof(f406,plain,
~ spl32_2,
inference(avatar_contradiction_clause,[],[f405]) ).
cnf(s1,plain,
( ~ spl32_1
| spl32_2 ),
inference(sat_conversion,[],[f393]) ).
cnf(s4,plain,
spl32_1,
inference(sat_conversion,[],[f402]) ).
cnf(s5,plain,
~ spl32_2,
inference(sat_conversion,[],[f406]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s5,s4]) ).
fof(f407,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV187+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:11:12 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.27 % (3746755)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3746771)dis+10_1_sil=32000:sp=arity:random_seed=1573889930:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (3746769)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3746771) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3746755-3746771"...
% 0.20/0.27 % (3746771)...printing done.
% 0.20/0.27 % (3746771)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3746771)------------------------------
% 0.20/0.28 % (3746771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3746771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3746771)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3746771)Termination reason: Refutation
% 0.20/0.28 % (3746771)Time elapsed: 0.003 s
% 0.20/0.28 % (3746771)Peak memory usage: 12 MB
% 0.20/0.28 % (3746771)Instructions burned: 10 (million)
% 0.20/0.28 % (3746755)Success in time 0.032 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------