%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN079+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 : n004.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 02:06:42 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_1) ).
fof(f2,axiom,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_2) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( big_f(X0,X1)
& big_f(X1,X2) )
=> big_f(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_3) ).
fof(f4,conjecture,
big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57) ).
fof(f5,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
~ big_f(f(a,b),f(a,c)),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( big_f(X0,X2)
| ~ big_f(X0,X1)
| ~ big_f(X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f8,plain,
! [X0,X1,X2] :
( big_f(X0,X2)
| ~ big_f(X0,X1)
| ~ big_f(X1,X2) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
big_f(f(a,b),f(b,c)),
inference(cnf_transformation,[],[f1]) ).
fof(f10,plain,
big_f(f(b,c),f(a,c)),
inference(cnf_transformation,[],[f2]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ big_f(X1,X2)
| ~ big_f(X0,X1)
| big_f(X0,X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
~ big_f(f(a,b),f(a,c)),
inference(cnf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0] :
( ~ big_f(X0,f(a,c))
| ~ big_f(f(a,b),X0) ),
inference(resolution,[],[f11,f12]) ).
fof(f22,plain,
~ big_f(f(a,b),f(b,c)),
inference(resolution,[],[f19,f10]) ).
fof(f25,plain,
$false,
inference(forward_subsumption_resolution,[],[f22,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN079+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:30:09 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.19/0.28 % (458996)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (459005)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=301818533:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (459005) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-458996-459005"...
% 0.19/0.28 % (459005)...printing done.
% 0.19/0.28 % (459005)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (459005)------------------------------
% 0.19/0.28 % (459005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (459005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (459005)CaDiCaL version: 2.1.3
% 0.19/0.28 % (459005)Termination reason: Refutation
% 0.19/0.28 % (459005)Time elapsed: 0.001 s
% 0.19/0.28 % (459005)Peak memory usage: 11 MB
% 0.19/0.28 % (459005)Instructions burned: 1 (million)
% 0.19/0.28 % (458996)Success in time 0.038 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------