%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN361+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 02:07:28 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 61 ( 24 ~; 10 |; 18 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 54 ( 39 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X0] :
! [X1] : big_p(X1,X0)
& ! [X1] :
( big_s(X1)
=> ? [X2] : big_q(X2,X1) )
& ! [X1,X2] :
( big_p(X1,X2)
=> ~ big_q(X1,X2) ) )
=> ? [X3] : ~ big_s(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2112) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] :
! [X1] : big_p(X1,X0)
& ! [X1] :
( big_s(X1)
=> ? [X2] : big_q(X2,X1) )
& ! [X1,X2] :
( big_p(X1,X2)
=> ~ big_q(X1,X2) ) )
=> ? [X3] : ~ big_s(X3) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ? [X0] :
! [X1] : big_p(X1,X0)
& ! [X2] :
( big_s(X2)
=> ? [X3] : big_q(X3,X2) )
& ! [X4,X5] :
( big_p(X4,X5)
=> ~ big_q(X4,X5) ) )
=> ? [X6] : ~ big_s(X6) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X6] : big_s(X6)
& ? [X0] :
! [X1] : big_p(X1,X0)
& ! [X2] :
( ? [X3] : big_q(X3,X2)
| ~ big_s(X2) )
& ! [X4,X5] :
( ~ big_q(X4,X5)
| ~ big_p(X4,X5) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X6] : big_s(X6)
& ? [X0] :
! [X1] : big_p(X1,X0)
& ! [X2] :
( ? [X3] : big_q(X3,X2)
| ~ big_s(X2) )
& ! [X4,X5] :
( ~ big_q(X4,X5)
| ~ big_p(X4,X5) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X0] : big_s(X0)
& ? [X1] :
! [X2] : big_p(X2,X1)
& ! [X3] :
( ? [X4] : big_q(X4,X3)
| ~ big_s(X3) )
& ! [X5,X6] :
( ~ big_q(X5,X6)
| ~ big_p(X5,X6) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X0] : big_s(X0)
& ! [X2] : big_p(X2,sK0)
& ! [X3] :
( big_q(sK1(X3),X3)
| ~ big_s(X3) )
& ! [X5,X6] :
( ~ big_q(X5,X6)
| ~ big_p(X5,X6) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0),skolemize(X4,sK1(X3))],[f6]) ).
fof(f8,plain,
! [X6,X5] :
( ~ big_q(X5,X6)
| ~ big_p(X5,X6) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X3] :
( ~ big_s(X3)
| big_q(sK1(X3),X3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X2] : big_p(X2,sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] : big_s(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0] : big_q(sK1(X0),X0),
inference(resolution,[],[f9,f11]) ).
fof(f13,plain,
! [X0] : ~ big_p(sK1(X0),X0),
inference(resolution,[],[f12,f8]) ).
fof(f14,plain,
$false,
inference(resolution,[],[f13,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN361+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n020.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:49:20 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.27 % (264511)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (264521)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1310970470:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (264521) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-264511-264521"...
% 0.20/0.27 % (264521)...printing done.
% 0.20/0.27 % (264521)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (264521)------------------------------
% 0.20/0.27 % (264521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (264521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (264521)CaDiCaL version: 2.1.3
% 0.20/0.27 % (264521)Termination reason: Refutation
% 0.20/0.27 % (264521)Time elapsed: 0.001 s
% 0.20/0.27 % (264521)Peak memory usage: 11 MB
% 0.20/0.27 % (264511)Success in time 0.031 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------