%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN944+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 : n007.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 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 82 ( 23 ~; 15 |; 35 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 59 ( 44 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( ( s(X0)
& s(X1)
& r(X1,X2)
& ! [X3] :
( s(X3)
=> p(X3) )
& ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) ) )
=> ? [X3,X4] :
( p(X3)
& q(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( s(X0)
& s(X1)
& r(X1,X2)
& ! [X3] :
( s(X3)
=> p(X3) )
& ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) ) )
=> ? [X3,X4] :
( p(X3)
& q(X3,X4) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ! [X0,X1,X2] :
( ( s(X0)
& s(X1)
& r(X1,X2)
& ! [X3] :
( s(X3)
=> p(X3) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X6,X7] :
( p(X6)
& q(X6,X7) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2] :
( ! [X6,X7] :
( ~ p(X6)
| ~ q(X6,X7) )
& s(X0)
& s(X1)
& r(X1,X2)
& ! [X3] :
( p(X3)
| ~ s(X3) )
& ! [X4,X5] :
( q(X4,X5)
| ~ r(X4,X5) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
? [X0,X1,X2] :
( ! [X6,X7] :
( ~ p(X6)
| ~ q(X6,X7) )
& s(X0)
& s(X1)
& r(X1,X2)
& ! [X3] :
( p(X3)
| ~ s(X3) )
& ! [X4,X5] :
( q(X4,X5)
| ~ r(X4,X5) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0,X1,X2] :
( ! [X3,X4] :
( ~ p(X3)
| ~ q(X3,X4) )
& s(X0)
& s(X1)
& r(X1,X2)
& ! [X5] :
( p(X5)
| ~ s(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X3,X4] :
( ~ p(X3)
| ~ q(X3,X4) )
& s(sK0)
& s(sK1)
& r(sK1,sK2)
& ! [X5] :
( p(X5)
| ~ s(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f6]) ).
fof(f8,plain,
! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X5] :
( ~ s(X5)
| p(X5) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
r(sK1,sK2),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
s(sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
! [X3,X4] :
( ~ p(X3)
| ~ q(X3,X4) ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
p(sK1),
inference(resolution,[],[f9,f11]) ).
fof(f16,plain,
! [X0] : ~ q(sK1,X0),
inference(resolution,[],[f13,f14]) ).
fof(f18,plain,
q(sK1,sK2),
inference(resolution,[],[f8,f10]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN944+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n007.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 : Mon Sep 28 17:13:31 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
% 0.09/0.26 % (2571078)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (2571088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=425999322:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (2571088) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2571078-2571088"...
% 0.09/0.26 % (2571088)...printing done.
% 0.09/0.26 % (2571084)% WARNING: option uhcvi not known.
% 0.09/0.26 % (2571088)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (2571088)------------------------------
% 0.09/0.26 % (2571088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (2571088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (2571088)CaDiCaL version: 2.1.3
% 0.09/0.26 % (2571088)Termination reason: Refutation
% 0.09/0.26 % (2571088)Time elapsed: 0.001 s
% 0.09/0.26 % (2571088)Peak memory usage: 11 MB
% 0.09/0.26 % (2571078)Success in time 0.027 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------