%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 02:07:15 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,X1,X2)
| p(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,X1,X2)
| p(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,X1,g(X2))
| p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( ~ p(f(X0),X1,X2)
| p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
~ p(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
p(f(g(a)),f(g(b)),f(g(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,plain,
p(g(a),f(g(b)),f(g(c))),
inference(resolution,[],[f6,f4]) ).
fof(f10,plain,
p(f(g(b)),g(a),f(g(c))),
inference(resolution,[],[f7,f2]) ).
fof(f12,plain,
p(g(b),g(a),f(g(c))),
inference(resolution,[],[f10,f4]) ).
fof(f16,plain,
p(f(g(c)),g(a),g(b)),
inference(resolution,[],[f12,f1]) ).
fof(f19,plain,
p(g(c),g(a),g(b)),
inference(resolution,[],[f16,f4]) ).
fof(f26,plain,
p(g(c),g(a),b),
inference(resolution,[],[f19,f3]) ).
fof(f30,plain,
p(b,g(a),g(c)),
inference(resolution,[],[f26,f1]) ).
fof(f40,plain,
p(b,g(a),c),
inference(resolution,[],[f30,f3]) ).
fof(f43,plain,
p(g(a),b,c),
inference(resolution,[],[f40,f2]) ).
fof(f69,plain,
p(c,b,g(a)),
inference(resolution,[],[f43,f1]) ).
fof(f75,plain,
p(c,b,a),
inference(resolution,[],[f69,f3]) ).
fof(f90,plain,
p(a,b,c),
inference(resolution,[],[f75,f1]) ).
fof(f91,plain,
$false,
inference(forward_subsumption_resolution,[],[f90,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n003.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 15:42:42 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (1714813)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (1714827)% WARNING: option uhcvi not known.
% 0.08/0.26 % (1714827)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3731830162:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (1714827) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1714813-1714827"...
% 0.08/0.26 % (1714827)...printing done.
% 0.08/0.26 % (1714827)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (1714827)------------------------------
% 0.08/0.26 % (1714827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (1714827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (1714827)CaDiCaL version: 2.1.3
% 0.08/0.26 % (1714827)Termination reason: Refutation
% 0.08/0.26 % (1714827)Time elapsed: 0.001 s
% 0.08/0.26 % (1714827)Peak memory usage: 11 MB
% 0.08/0.26 % (1714827)Instructions burned: 2 (million)
% 0.08/0.26 % (1714813)Success in time 0.03 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------