%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL398-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 11:58:33 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.59s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,x)),y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_64) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f4]) ).
fof(f8,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f9,plain,
~ is_a_theorem(implies(x,x)),
inference(resolution,[],[f7,f5]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f8,f1]) ).
fof(f20,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f3]) ).
fof(f27,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f20,f4]) ).
fof(f32,plain,
$false,
inference(resolution,[],[f27,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL398-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.47 % Computer : n013.cluster.edu
% 0.19/0.47 % Model : x86_64 x86_64
% 0.19/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.47 % Memory : 8046.5625MB
% 0.19/0.47 % OS : Linux 6.8.0-71-generic
% 0.19/0.47 % CPULimit : 300
% 0.19/0.47 % WCLimit : 300
% 0.19/0.47 % DateTime : Sun Sep 27 15:39:51 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.52 Running first-order model finding
% 0.26/0.52 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
% 0.26/0.59 % (368428)Will run a generic schedule for satisfiability detection.
% 0.26/0.59 % (368436)dis+10_1_sil=32000:sp=arity:random_seed=3589567996:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.59 % (368436) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-368428-368436"...
% 0.26/0.59 % (368436)...printing done.
% 0.26/0.59 % (368436)Refutation found. Thanks to Tanya!
% 0.26/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.59 % (368436)------------------------------
% 0.26/0.59 % (368436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.59 % (368436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.59 % (368436)CaDiCaL version: 2.1.3
% 0.26/0.59 % (368436)Termination reason: Refutation
% 0.26/0.59 % (368436)Time elapsed: 0.001 s
% 0.26/0.59 % (368436)Peak memory usage: 11 MB
% 0.26/0.59 % (368436)Instructions burned: 1 (million)
% 0.26/0.59 % (368428)Success in time 0.048 s
% 0.26/0.59 % Vampire exiting
%------------------------------------------------------------------------------