%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL007-1 : TPTP v9.3.1. Released v1.0.0.
% 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 11:57:24 AM UTC 2026
% Result : Unsatisfiable 0.17s 5.70s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5) ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_2) ).
fof(f5,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f2,f1]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,X1),X2))),
inference(resolution,[],[f5,f3]) ).
fof(f22,plain,
$false,
inference(resolution,[],[f8,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.62 % Computer : n019.cluster.edu
% 0.12/5.62 % Model : x86_64 x86_64
% 0.12/5.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.62 % Memory : 8046.5625MB
% 0.12/5.62 % OS : Linux 6.8.0-71-generic
% 0.12/5.62 % CPULimit : 300
% 0.12/5.62 % WCLimit : 300
% 0.12/5.62 % DateTime : Sun Sep 27 15:17:01 UTC 2026
% 0.12/5.63 % CPUTime :
% 0.12/5.63 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.66 Running first-order model finding
% 0.12/5.66 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
% 0.17/5.70 % (3188465)Will run a generic schedule for satisfiability detection.
% 0.17/5.70 % (3188474)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3815888633:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/5.70 % (3188474) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3188465-3188474"...
% 0.17/5.70 % (3188474)...printing done.
% 0.17/5.70 % (3188474)Refutation found. Thanks to Tanya!
% 0.17/5.70 % SZS status Unsatisfiable for theBenchmark
% 0.17/5.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/5.70 % (3188474)------------------------------
% 0.17/5.70 % (3188474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.70 % (3188474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.70 % (3188474)CaDiCaL version: 2.1.3
% 0.17/5.70 % (3188474)Termination reason: Refutation
% 0.17/5.70 % (3188474)Time elapsed: 0.001 s
% 0.17/5.70 % (3188474)Peak memory usage: 11 MB
% 0.17/5.70 % (3188474)Instructions burned: 1 (million)
% 0.17/5.70 % (3188465)Success in time 0.034 s
% 0.17/5.70 % Vampire exiting
%------------------------------------------------------------------------------