%------------------------------------------------------------------------------
% 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 : n003.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 08:40:21 AM UTC 2026
% Result : Theorem 0.06s 0.23s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 11 ~; 2 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 6 ( 6 fml; 0 var)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 9 !; 5 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
state: $tType ).
tff(func_def_0,type,
induct_false: $o ).
tff(func_def_1,type,
induct_true: $o ).
tff(func_def_2,type,
hoare_1821564147gleton: $o ).
tff(func_def_5,type,
sK0: state ).
tff(func_def_6,type,
sK1: state ).
tff(func_def_7,type,
sK2: state ).
tff(f1,axiom,
( hoare_1821564147gleton
<=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
tff(f5,axiom,
hoare_1821564147gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f6,conjecture,
! [X0: state] :
~ ! [X1: state] : ( X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f7,negated_conjecture,
~ ! [X0: state] :
~ ! [X1: state] : ( X1 = X0 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
( hoare_1821564147gleton
<=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
inference(rectify,[],[f1]) ).
tff(f12,plain,
hoare_1821564147gleton,
inference(rectify,[],[f5]) ).
tff(f14,plain,
? [X0: state] :
! [X1: state] : ( X1 = X0 ),
inference(ennf_transformation,[],[f7]) ).
tff(f16,plain,
( ( sK0 != sK1 )
| ( hoare_1821564147gleton != $true ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f20,plain,
hoare_1821564147gleton = $true,
inference(cnf_transformation,[],[f12]) ).
tff(f21,plain,
! [X1: state] : ( sK2 = X1 ),
inference(cnf_transformation,[],[f14]) ).
tff(f24,plain,
( ( sK0 != sK1 )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f16,f20]) ).
tff(f27,plain,
sK0 != sK1,
inference(trivial_inequality_removal,[],[f24]) ).
tff(f28,plain,
! [X0: state,X1: state] : ( X0 = X1 ),
inference(superposition,[],[f21,f21]) ).
tff(f32,plain,
! [X0: state] : ( sK0 != X0 ),
inference(superposition,[],[f27,f28]) ).
tff(f33,plain,
$false,
inference(forward_subsumption_resolution,[],[f32,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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
% 0.06/0.17 % Computer : n003.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 16:06:44 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.19 Running first-order model finding
% 0.06/0.19 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
% 0.06/0.23 % (2678599)Will run a generic schedule for satisfiability detection.
% 0.06/0.23 % (2678608)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4283061740:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.23 % (2678608) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2678599-2678608"...
% 0.06/0.23 % (2678608)...printing done.
% 0.06/0.23 % (2678608)Refutation found. Thanks to Tanya!
% 0.06/0.23 % SZS status Theorem for theBenchmark
% 0.06/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.23 % (2678608)------------------------------
% 0.06/0.23 % (2678608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.23 % (2678608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.23 % (2678608)CaDiCaL version: 2.1.3
% 0.06/0.23 % (2678608)Termination reason: Refutation
% 0.06/0.23 % (2678608)Time elapsed: 0.001 s
% 0.06/0.23 % (2678608)Peak memory usage: 12 MB
% 0.06/0.23 % (2678599)Success in time 0.027 s
% 0.06/0.23 % Vampire exiting
%------------------------------------------------------------------------------