%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW469+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:40:04 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 48 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 18 ~; 11 |; 10 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 14 ( 7 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
is_state(undefined_state(state)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Com__Ostate) ).
fof(f2,axiom,
( hoare_165779456gleton
<=> ? [X0,X1] :
( is_state(X0)
& is_state(X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
fof(f6,axiom,
hoare_165779456gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f7,conjecture,
! [X0] :
( is_state(X0)
=> ~ ! [X1] :
( is_state(X1)
=> X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f8,negated_conjecture,
~ ! [X0] :
( is_state(X0)
=> ~ ! [X1] :
( is_state(X1)
=> X1 = X0 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( hoare_165779456gleton
=> ? [X0,X1] :
( is_state(X0)
& is_state(X1)
& X0 != X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f13,plain,
( ? [X0,X1] :
( is_state(X0)
& is_state(X1)
& X0 != X1 )
| ~ hoare_165779456gleton ),
inference(ennf_transformation,[],[f9]) ).
fof(f14,plain,
? [X0] :
( ! [X1] :
( X1 = X0
| ~ is_state(X1) )
& is_state(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f15,plain,
( ( is_state(sK0)
& is_state(sK1)
& sK0 != sK1 )
| ~ hoare_165779456gleton ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f13]) ).
fof(f16,plain,
( ! [X1] :
( sK2 = X1
| ~ is_state(X1) )
& is_state(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f14]) ).
fof(f17,plain,
is_state(undefined_state(state)),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
( sK0 != sK1
| ~ hoare_165779456gleton ),
inference(cnf_transformation,[],[f15]) ).
fof(f19,plain,
( is_state(sK1)
| ~ hoare_165779456gleton ),
inference(cnf_transformation,[],[f15]) ).
fof(f20,plain,
( is_state(sK0)
| ~ hoare_165779456gleton ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
hoare_165779456gleton,
inference(cnf_transformation,[],[f6]) ).
fof(f23,plain,
! [X0] :
( sK2 = X0
| ~ is_state(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f24,plain,
( is_state(sK0)
| hoare_165779456gleton ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f25,plain,
( is_state(sK1)
| hoare_165779456gleton ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f26,plain,
( sK0 != sK1
| hoare_165779456gleton ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f27,plain,
~ hoare_165779456gleton,
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f37,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f17,f24,f25,f26,f27,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW469+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 14:05:48 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 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
% 0.09/0.24 % (3642323)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (3642328)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1478432855_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.24 % TRYING [1]
% 0.09/0.24 % TRYING [2]
% 0.09/0.24 % (3642328) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3642323-3642328"...
% 0.09/0.24 % (3642328)...printing done.
% 0.09/0.24 % (3642328)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (3642328)------------------------------
% 0.09/0.24 % (3642328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (3642328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (3642328)CaDiCaL version: 2.1.3
% 0.09/0.24 % (3642328)Termination reason: Refutation
% 0.09/0.24 % (3642328)Time elapsed: 0.001 s
% 0.09/0.24 % (3642328)Peak memory usage: 11 MB
% 0.09/0.24 % (3642328)Instructions burned: 1 (million)
% 0.09/0.24 % (3642323)Success in time 0.024 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------