%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL079-1 : 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 : n026.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 11:57:35 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 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 : 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/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
fof(f5,axiom,
is_a_theorem(implies(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_implies_b) ).
fof(f6,axiom,
is_a_theorem(implies(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_implies_c) ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).
fof(f10,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f26,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f26,f1]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f60,f10]) ).
fof(f120,plain,
! [X0] :
( ~ is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(X0,c)) ),
inference(resolution,[],[f62,f7]) ).
fof(f145,plain,
~ is_a_theorem(implies(a,b)),
inference(resolution,[],[f120,f6]) ).
fof(f146,plain,
$false,
inference(forward_subsumption_resolution,[],[f145,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL079-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:23:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.45 % (2985281)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2985299)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1504565365:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2985299) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2985281-2985299"...
% 0.10/0.45 % (2985299)...printing done.
% 0.10/0.45 % (2985296)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2985299)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2985299)------------------------------
% 0.10/0.45 % (2985299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2985299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2985299)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2985299)Termination reason: Refutation
% 0.10/0.45 % (2985299)Time elapsed: 0.002 s
% 0.10/0.45 % (2985299)Peak memory usage: 11 MB
% 0.10/0.45 % (2985299)Instructions burned: 4 (million)
% 0.10/0.45 % (2985281)Success in time 0.035 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------