%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW469+5 : 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 : n001.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 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 27 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 7 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 16 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
( hBOOL(hoare_1883395792gleton)
<=> ? [X0,X1] : ti(state,X0) != ti(state,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
fof(f62,axiom,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f63,conjecture,
! [X0] :
~ ! [X1] : ti(state,X1) = ti(state,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f64,negated_conjecture,
~ ! [X0] :
~ ! [X1] : ti(state,X1) = ti(state,X0),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f99,plain,
? [X0] :
! [X1] : ti(state,X1) = ti(state,X0),
inference(ennf_transformation,[],[f64]) ).
fof(f101,plain,
( ( hBOOL(hoare_1883395792gleton)
| ! [X0,X1] : ti(state,X0) = ti(state,X1) )
& ( ? [X0,X1] : ti(state,X0) != ti(state,X1)
| ~ hBOOL(hoare_1883395792gleton) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f102,plain,
( ( hBOOL(hoare_1883395792gleton)
| ! [X0,X1] : ti(state,X0) = ti(state,X1) )
& ( ? [X2,X3] : ti(state,X2) != ti(state,X3)
| ~ hBOOL(hoare_1883395792gleton) ) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
( ( hBOOL(hoare_1883395792gleton)
| ! [X0,X1] : ti(state,X0) = ti(state,X1) )
& ( ti(state,sK0) != ti(state,sK1)
| ~ hBOOL(hoare_1883395792gleton) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0),skolemize(X3,sK1)],[f102]) ).
fof(f121,plain,
! [X1] : ti(state,X1) = ti(state,sK11),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f99]) ).
fof(f140,plain,
( ti(state,sK0) != ti(state,sK1)
| ~ hBOOL(hoare_1883395792gleton) ),
inference(cnf_transformation,[],[f103]) ).
fof(f197,plain,
hBOOL(hoare_1883395792gleton),
inference(cnf_transformation,[],[f62]) ).
fof(f198,plain,
! [X1] : ti(state,X1) = ti(state,sK11),
inference(cnf_transformation,[],[f121]) ).
fof(f208,plain,
ti(state,sK0) != ti(state,sK1),
inference(forward_subsumption_resolution,[],[f140,f197]) ).
fof(f222,plain,
! [X0,X1] : ti(state,X0) = ti(state,X1),
inference(superposition,[],[f198,f198]) ).
fof(f243,plain,
! [X0] : ti(state,X0) != ti(state,sK0),
inference(superposition,[],[f208,f222]) ).
fof(f244,plain,
$false,
inference(forward_subsumption_resolution,[],[f243,f222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW469+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n001.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 14:07:03 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.08/0.24 % (361079)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (361089)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2489475462:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.24 % (361089) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-361079-361089"...
% 0.08/0.24 % (361085)% WARNING: option uhcvi not known.
% 0.08/0.24 % (361089)...printing done.
% 0.08/0.24 % (361089)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (361089)------------------------------
% 0.08/0.24 % (361089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (361089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (361089)CaDiCaL version: 2.1.3
% 0.08/0.24 % (361089)Termination reason: Refutation
% 0.08/0.24 % (361089)Time elapsed: 0.004 s
% 0.08/0.24 % (361089)Peak memory usage: 12 MB
% 0.08/0.24 % (361089)Instructions burned: 12 (million)
% 0.08/0.24 % (361079)Success in time 0.035 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------