%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN068+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 02:06:39 PM UTC 2026
% Result : Theorem 0.10s 0.23s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 37 ( 17 ~; 8 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 9 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( big_f(X0)
=> ( ? [X1] :
( big_g(X1)
& big_h(X0,X1) )
& ? [X2] :
( big_g(X2)
& ~ big_h(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel44_1) ).
fof(f2,axiom,
? [X0] :
( big_j(X0)
& ! [X1] :
( big_g(X1)
=> big_h(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel44_2) ).
fof(f3,conjecture,
? [X0] :
( big_j(X0)
& ~ big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel44) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( big_j(X0)
& ~ big_f(X0) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] :
( ( ? [X1] :
( big_g(X1)
& big_h(X0,X1) )
& ? [X2] :
( big_g(X2)
& ~ big_h(X0,X2) ) )
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6,plain,
? [X0] :
( big_j(X0)
& ! [X1] :
( big_h(X0,X1)
| ~ big_g(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
! [X0] :
( ~ big_j(X0)
| big_f(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
! [X0] :
( ~ big_h(X0,sK0(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X0] :
( big_g(sK0(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X1] :
( big_h(sK2,X1)
| ~ big_g(X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
big_j(sK2),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X0] :
( ~ big_j(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
big_f(sK2),
inference(resolution,[],[f13,f14]) ).
fof(f16,plain,
( ~ big_f(sK2)
| ~ big_g(sK0(sK2)) ),
inference(resolution,[],[f10,f12]) ).
fof(f17,plain,
~ big_g(sK0(sK2)),
inference(forward_subsumption_resolution,[],[f16,f15]) ).
fof(f18,plain,
~ big_f(sK2),
inference(resolution,[],[f17,f11]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN068+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n016.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 15:33:48 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 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
% 0.10/0.23 % (3711286)Will run a generic schedule for satisfiability detection.
% 0.10/0.23 % (3711295)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1687295819:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.23 % (3711295) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3711286-3711295"...
% 0.10/0.23 % (3711295)...printing done.
% 0.10/0.23 % (3711295)Refutation found. Thanks to Tanya!
% 0.10/0.23 % SZS status Theorem for theBenchmark
% 0.10/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.23 % (3711295)------------------------------
% 0.10/0.23 % (3711295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.23 % (3711295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.23 % (3711295)CaDiCaL version: 2.1.3
% 0.10/0.23 % (3711295)Termination reason: Refutation
% 0.10/0.23 % (3711295)Time elapsed: 0.001 s
% 0.10/0.23 % (3711295)Peak memory usage: 11 MB
% 0.10/0.23 % (3711286)Success in time 0.026 s
% 0.10/0.23 % Vampire exiting
%------------------------------------------------------------------------------