%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV180+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 : n020.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 01:20:24 PM UTC 2026
% Result : Theorem 0.20s 0.26s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 9 unt; 1 def)
% Number of atoms : 191 ( 54 equ)
% Maximal formula atoms : 41 ( 10 avg)
% Number of connectives : 243 ( 71 ~; 65 |; 74 &)
% ( 1 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( leq(n0,pv86)
& leq(pv86,n4)
& ! [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_select2(rho_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> a_select2(mu_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(sigma_init,X4) = init )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(center_init,X5,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(muold_init,X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> a_select2(rhoold_init,X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> a_select2(sigmaold_init,X8) = init ) )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select2(muold_init,X9) = init )
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> a_select2(rhoold_init,X10) = init )
& ! [X11] :
( ( leq(n0,X11)
& leq(X11,n4) )
=> a_select2(sigmaold_init,X11) = init ) )
=> a_select2(muold_init,pv86) = init ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0076) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv86)
& leq(pv86,n4)
& ! [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_select2(rho_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> a_select2(mu_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(sigma_init,X4) = init )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(center_init,X5,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(muold_init,X6) = init ) )
& ( gt(loopcounter,n1)
=> ! [X7] :
( ( leq(n0,X7)
& leq(X7,n4) )
=> a_select2(rhoold_init,X7) = init ) )
& ( gt(loopcounter,n1)
=> ! [X8] :
( ( leq(n0,X8)
& leq(X8,n4) )
=> a_select2(sigmaold_init,X8) = init ) )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select2(muold_init,X9) = init )
& ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> a_select2(rhoold_init,X10) = init )
& ! [X11] :
( ( leq(n0,X11)
& leq(X11,n4) )
=> a_select2(sigmaold_init,X11) = init ) )
=> a_select2(muold_init,pv86) = init ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( init != a_select2(muold_init,pv86)
& leq(n0,pv86)
& leq(pv86,n4)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ! [X2] :
( a_select2(rho_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( a_select2(mu_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( a_select2(sigma_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( a_select3(center_init,X5,n0) = init
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ( ! [X6] :
( a_select2(muold_init,X6) = init
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X7] :
( a_select2(rhoold_init,X7) = init
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( a_select2(sigmaold_init,X8) = init
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ! [X9] :
( a_select2(muold_init,X9) = init
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
& ! [X10] :
( a_select2(rhoold_init,X10) = init
| ~ leq(n0,X10)
| ~ leq(X10,n4) )
& ! [X11] :
( a_select2(sigmaold_init,X11) = init
| ~ leq(n0,X11)
| ~ leq(X11,n4) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( init != a_select2(muold_init,pv86)
& leq(n0,pv86)
& leq(pv86,n4)
& ! [X0] :
( ! [X1] :
( a_select3(q_init,X0,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ! [X2] :
( a_select2(rho_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
& ! [X3] :
( a_select2(mu_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n4) )
& ! [X4] :
( a_select2(sigma_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
& ! [X5] :
( a_select3(center_init,X5,n0) = init
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
& ( ! [X6] :
( a_select2(muold_init,X6) = init
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X7] :
( a_select2(rhoold_init,X7) = init
| ~ leq(n0,X7)
| ~ leq(X7,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X8] :
( a_select2(sigmaold_init,X8) = init
| ~ leq(n0,X8)
| ~ leq(X8,n4) )
| ~ gt(loopcounter,n1) )
& ! [X9] :
( a_select2(muold_init,X9) = init
| ~ leq(n0,X9)
| ~ leq(X9,n4) )
& ! [X10] :
( a_select2(rhoold_init,X10) = init
| ~ leq(n0,X10)
| ~ leq(X10,n4) )
& ! [X11] :
( a_select2(sigmaold_init,X11) = init
| ~ leq(n0,X11)
| ~ leq(X11,n4) ) ),
inference(flattening,[],[f143]) ).
fof(f309,plain,
! [X9] :
( init = a_select2(muold_init,X9)
| ~ leq(n0,X9)
| ~ leq(X9,n4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f318,plain,
leq(pv86,n4),
inference(cnf_transformation,[],[f144]) ).
fof(f319,plain,
leq(n0,pv86),
inference(cnf_transformation,[],[f144]) ).
fof(f320,plain,
init != a_select2(muold_init,pv86),
inference(cnf_transformation,[],[f144]) ).
fof(f402,definition,
( spl31_4
<=> ! [X6] :
( init = a_select2(muold_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) ) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f403,plain,
( ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select2(muold_init,X6) )
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f407,plain,
spl31_4,
inference(avatar_split_clause,[],[f309,f402]) ).
fof(f418,plain,
( ~ leq(pv86,n4)
| init = a_select2(muold_init,pv86)
| ~ spl31_4 ),
inference(resolution,[],[f403,f319]) ).
fof(f419,plain,
( init = a_select2(muold_init,pv86)
| ~ spl31_4 ),
inference(forward_subsumption_resolution,[],[f418,f318]) ).
fof(f420,plain,
( $false
| ~ spl31_4 ),
inference(forward_subsumption_resolution,[],[f419,f320]) ).
fof(f421,plain,
~ spl31_4,
inference(avatar_contradiction_clause,[],[f420]) ).
cnf(s6,plain,
spl31_4,
inference(sat_conversion,[],[f407]) ).
cnf(s7,plain,
~ spl31_4,
inference(sat_conversion,[],[f421]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s6,s7]) ).
fof(f422,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV180+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n020.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 10:09:05 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
% 0.20/0.26 % (71253)Will run a generic schedule for satisfiability detection.
% 0.20/0.26 % (71261)dis+10_1_sil=32000:sp=arity:random_seed=3792449346:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.26 % (71261) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-71253-71261"...
% 0.20/0.26 % (71259)% WARNING: option uhcvi not known.
% 0.20/0.26 % (71261)...printing done.
% 0.20/0.26 % (71261)Refutation found. Thanks to Tanya!
% 0.20/0.26 % SZS status Theorem for theBenchmark
% 0.20/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.26 % (71261)------------------------------
% 0.20/0.26 % (71261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.26 % (71261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.26 % (71261)CaDiCaL version: 2.1.3
% 0.20/0.26 % (71261)Termination reason: Refutation
% 0.20/0.26 % (71261)Time elapsed: 0.004 s
% 0.20/0.26 % (71261)Peak memory usage: 12 MB
% 0.20/0.26 % (71261)Instructions burned: 11 (million)
% 0.20/0.26 % (71253)Success in time 0.02 s
% 0.20/0.26 % Vampire exiting
%------------------------------------------------------------------------------