%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ092^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 : Wed Sep 30 08:21:01 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 219 ( 218 equ)
% Maximal formula atoms : 32 ( 9 avg)
% Number of connectives : 320 ( 125 ~; 110 |; 71 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 48 ( 24 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( ( ( X8 != X11
& X4 = X2
& X4 = X5
& X2 = X3 )
=> X6 = X9 )
& ( ( X4 = X7
& X10 = X11
& X8 = X9 )
=> X0 != X3 )
& ( ( X2 != X5
& X6 = X7
& X0 = X1 )
=> X8 = X11 )
& ( ( X0 != X3
& X6 = X4
& X6 = X7
& X4 = X5 )
=> X8 != X11 )
& ( ( X2 = X5
& X10 = X11
& X0 = X1 )
=> X6 != X9 )
& ( ( X8 = X11
& X2 = X3
& X0 = X1 )
=> X4 = X7 ) )
=> ( X10 != X11
| X8 != X9
| X6 != X7
| X4 != X5
| X2 != X3
| X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIXFRIENDS_EASIER) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( ( ( X8 != X11
& X4 = X2
& X4 = X5
& X2 = X3 )
=> X6 = X9 )
& ( ( X4 = X7
& X10 = X11
& X8 = X9 )
=> X0 != X3 )
& ( ( X2 != X5
& X6 = X7
& X0 = X1 )
=> X8 = X11 )
& ( ( X0 != X3
& X6 = X4
& X6 = X7
& X4 = X5 )
=> X8 != X11 )
& ( ( X2 = X5
& X10 = X11
& X0 = X1 )
=> X6 != X9 )
& ( ( X8 = X11
& X2 = X3
& X0 = X1 )
=> X4 = X7 ) )
=> ( X10 != X11
| X8 != X9
| X6 != X7
| X4 != X5
| X2 != X3
| X0 != X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( X10 = X11
& X8 = X9
& X6 = X7
& X4 = X5
& X2 = X3
& X0 = X1
& ( X6 = X9
| X8 = X11
| X2 != X4
| X4 != X5
| X2 != X3 )
& ( X0 != X3
| X4 != X7
| X10 != X11
| X8 != X9 )
& ( X8 = X11
| X2 = X5
| X6 != X7
| X0 != X1 )
& ( X8 != X11
| X0 = X3
| X4 != X6
| X6 != X7
| X4 != X5 )
& ( X6 != X9
| X2 != X5
| X10 != X11
| X0 != X1 )
& ( X4 = X7
| X8 != X11
| X2 != X3
| X0 != X1 ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( X10 = X11
& X8 = X9
& X6 = X7
& X4 = X5
& X2 = X3
& X0 = X1
& ( X6 = X9
| X8 = X11
| X2 != X4
| X4 != X5
| X2 != X3 )
& ( X0 != X3
| X4 != X7
| X10 != X11
| X8 != X9 )
& ( X8 = X11
| X2 = X5
| X6 != X7
| X0 != X1 )
& ( X8 != X11
| X0 = X3
| X4 != X6
| X6 != X7
| X4 != X5 )
& ( X6 != X9
| X2 != X5
| X10 != X11
| X0 != X1 )
& ( X4 = X7
| X8 != X11
| X2 != X3
| X0 != X1 ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( sK10 = sK11
& sK8 = sK9
& sK6 = sK7
& sK4 = sK5
& sK2 = sK3
& sK0 = sK1
& ( sK6 = sK9
| sK8 = sK11
| sK2 != sK4
| sK4 != sK5
| sK2 != sK3 )
& ( sK0 != sK3
| sK4 != sK7
| sK10 != sK11
| sK8 != sK9 )
& ( sK8 = sK11
| sK2 = sK5
| sK6 != sK7
| sK0 != sK1 )
& ( sK8 != sK11
| sK0 = sK3
| sK4 != sK6
| sK6 != sK7
| sK4 != sK5 )
& ( sK6 != sK9
| sK2 != sK5
| sK10 != sK11
| sK0 != sK1 )
& ( sK4 = sK7
| sK8 != sK11
| sK2 != sK3
| sK0 != sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f4]) ).
fof(f6,plain,
( sK4 = sK7
| sK8 != sK11
| sK2 != sK3
| sK0 != sK1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
( sK6 != sK9
| sK2 != sK5
| sK10 != sK11
| sK0 != sK1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
( sK8 != sK11
| sK0 = sK3
| sK4 != sK6
| sK6 != sK7
| sK4 != sK5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
( sK8 = sK11
| sK2 = sK5
| sK6 != sK7
| sK0 != sK1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
( sK0 != sK3
| sK4 != sK7
| sK10 != sK11
| sK8 != sK9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
( sK6 = sK9
| sK8 = sK11
| sK2 != sK4
| sK4 != sK5
| sK2 != sK3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f5]) ).
fof(f14,plain,
sK4 = sK5,
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
sK6 = sK7,
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
sK8 = sK9,
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
sK10 = sK11,
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
( sK7 = sK9
| sK9 = sK11
| sK3 != sK5
| sK5 != sK5
| sK3 != sK3 ),
inference(definition_unfolding,[],[f11,f15,f16,f13,f14,f14,f13]) ).
fof(f19,plain,
( sK1 != sK3
| sK5 != sK7
| sK11 != sK11
| sK9 != sK9 ),
inference(definition_unfolding,[],[f10,f12,f14,f17,f16]) ).
fof(f20,plain,
( sK9 = sK11
| sK3 = sK5
| sK7 != sK7
| sK1 != sK1 ),
inference(definition_unfolding,[],[f9,f16,f13,f15,f12]) ).
fof(f21,plain,
( sK9 != sK11
| sK1 = sK3
| sK5 != sK7
| sK7 != sK7
| sK5 != sK5 ),
inference(definition_unfolding,[],[f8,f16,f12,f14,f15,f15,f14]) ).
fof(f22,plain,
( sK7 != sK9
| sK3 != sK5
| sK11 != sK11
| sK1 != sK1 ),
inference(definition_unfolding,[],[f7,f15,f13,f17,f12]) ).
fof(f23,plain,
( sK5 = sK7
| sK9 != sK11
| sK3 != sK3
| sK1 != sK1 ),
inference(definition_unfolding,[],[f6,f14,f16,f13,f12]) ).
fof(f74,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f18,f19,f20,f21,f22,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ092^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n002.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 : Tue Sep 29 13:24:53 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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 % (1266009)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (1266018)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3561786595_3000 on theBenchmark for (3000ds/0Mi)
% 0.09/0.25 % Detected minimum model sizes of [1]
% 0.09/0.25 % Detected maximum model sizes of [6]
% 0.09/0.25 % TRYING [1]
% 0.09/0.25 % TRYING [2]
% 0.09/0.25 % TRYING [3]
% 0.09/0.25 % TRYING [4]
% 0.09/0.25 % TRYING [5]
% 0.09/0.25 % TRYING [6]
% 0.09/0.25 % (1266018) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1266009-1266018"...
% 0.09/0.25 % (1266018)...printing done.
% 0.09/0.25 % (1266019)% WARNING: option uhcvi not known.
% 0.09/0.25 % (1266018)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 % (1266018)------------------------------
% 0.09/0.25 % (1266018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (1266018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (1266018)CaDiCaL version: 2.1.3
% 0.09/0.25 % (1266018)Termination reason: Refutation
% 0.09/0.25 % (1266018)Time elapsed: 0.003 s
% 0.09/0.25 % (1266018)Peak memory usage: 11 MB
% 0.09/0.25 % (1266018)Instructions burned: 9 (million)
% 0.09/0.25 % (1266009)Success in time 0.016 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------