%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN942+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 02:22:55 PM UTC 2026
% Result : Theorem 0.09s 0.27s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 72 ( 26 ~; 19 |; 18 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
( a(X0)
=> ( b(X0)
| c(X0) ) )
& ~ ! [X0] :
( a(X0)
=> b(X0) ) )
=> ? [X0] :
( a(X0)
& c(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( a(X0)
=> ( b(X0)
| c(X0) ) )
& ~ ! [X0] :
( a(X0)
=> b(X0) ) )
=> ? [X0] :
( a(X0)
& c(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( a(X0)
=> ( b(X0)
| c(X0) ) )
& ~ ! [X1] :
( a(X1)
=> b(X1) ) )
=> ? [X2] :
( a(X2)
& c(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X2] :
( ~ a(X2)
| ~ c(X2) )
& ! [X0] :
( b(X0)
| c(X0)
| ~ a(X0) )
& ? [X1] :
( ~ b(X1)
& a(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X2] :
( ~ a(X2)
| ~ c(X2) )
& ! [X0] :
( b(X0)
| c(X0)
| ~ a(X0) )
& ? [X1] :
( ~ b(X1)
& a(X1) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X0] :
( ~ a(X0)
| ~ c(X0) )
& ! [X1] :
( b(X1)
| c(X1)
| ~ a(X1) )
& ? [X2] :
( ~ b(X2)
& a(X2) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X0] :
( ~ a(X0)
| ~ c(X0) )
& ! [X1] :
( b(X1)
| c(X1)
| ~ a(X1) )
& ~ b(sK0)
& a(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0)],[f6]) ).
fof(f8,plain,
a(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
~ b(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X1] :
( b(X1)
| c(X1)
| ~ a(X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] :
( ~ c(X0)
| ~ a(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
! [X1] :
( ~ a(X1)
| b(X1) ),
inference(forward_subsumption_resolution,[],[f10,f11]) ).
fof(f13,plain,
b(sK0),
inference(resolution,[],[f12,f8]) ).
fof(f14,plain,
$false,
inference(forward_subsumption_resolution,[],[f13,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN942+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n009.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 17:14:30 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
% 0.09/0.27 % (3224721)Will run a generic schedule for satisfiability detection.
% 0.09/0.27 % (3224729)dis+10_1_sil=32000:sp=arity:random_seed=647942737:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.27 % (3224729) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3224721-3224729"...
% 0.09/0.27 % (3224729)...printing done.
% 0.09/0.27 % (3224727)% WARNING: option uhcvi not known.
% 0.09/0.27 % (3224729)Refutation found. Thanks to Tanya!
% 0.09/0.27 % SZS status Theorem for theBenchmark
% 0.09/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27 % (3224729)------------------------------
% 0.09/0.27 % (3224729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (3224729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (3224729)CaDiCaL version: 2.1.3
% 0.09/0.27 % (3224729)Termination reason: Refutation
% 0.09/0.27 % (3224729)Time elapsed: 0.0000 s
% 0.09/0.27 % (3224729)Peak memory usage: 11 MB
% 0.09/0.27 % (3224721)Success in time 0.038 s
% 0.09/0.27 % Vampire exiting
%------------------------------------------------------------------------------