%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN981+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 02:23:00 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 33 ( 11 ~; 6 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 16 ( 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
( p(X0)
=> q(X0) )
& ? [X1] :
( q(X1)
=> r(X1) ) )
=> ? [X2] :
( p(X2)
=> r(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( p(X0)
=> q(X0) )
& ? [X1] :
( q(X1)
=> r(X1) ) )
=> ? [X2] :
( p(X2)
=> r(X2) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X2] :
( ~ r(X2)
& p(X2) )
& ! [X0] :
( q(X0)
| ~ p(X0) )
& ? [X1] :
( r(X1)
| ~ q(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X2] :
( ~ r(X2)
& p(X2) )
& ! [X0] :
( q(X0)
| ~ p(X0) )
& ? [X1] :
( r(X1)
| ~ q(X1) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X2] : p(X2),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X2] : ~ r(X2),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X0] :
( ~ p(X0)
| q(X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
( ~ q(sK0)
| r(sK0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
! [X0] : q(X0),
inference(forward_subsumption_resolution,[],[f7,f5]) ).
fof(f10,plain,
~ q(sK0),
inference(forward_subsumption_resolution,[],[f8,f6]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[],[f10,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN981+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 17:19:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27 % (4171458)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (4171467)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4100132648:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (4171467) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4171458-4171467"...
% 0.20/0.27 % (4171467)...printing done.
% 0.20/0.27 % (4171464)% WARNING: option uhcvi not known.
% 0.20/0.27 % (4171467)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 % (4171467)------------------------------
% 0.20/0.27 % (4171467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (4171467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (4171467)CaDiCaL version: 2.1.3
% 0.20/0.27 % (4171467)Termination reason: Refutation
% 0.20/0.27 % (4171467)Time elapsed: 0.001 s
% 0.20/0.27 % (4171467)Peak memory usage: 11 MB
% 0.20/0.27 % (4171458)Success in time 0.03 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------