%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 0.10s 0.27s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 17 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 22 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] :
( p(X0,X1,X2)
| ~ p(X0,X3,X2)
| ~ p(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( p(X0,X1,X2)
| ~ p(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( p(X0,X1,X2)
| ~ p(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( p(X0,X1,f(X2))
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X2,X0,X1] :
( p(g(X0),X1,X2)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
p(a,f(b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
p(f(b),d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
~ p(f(g(a)),f(g(d)),f(g(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f9,plain,
~ p(f(g(a)),f(g(d)),g(c)),
inference(resolution,[],[f8,f4]) ).
fof(f13,plain,
~ p(g(c),f(g(d)),f(g(a))),
inference(resolution,[],[f9,f2]) ).
fof(f16,plain,
~ p(g(c),f(g(d)),g(a)),
inference(resolution,[],[f13,f4]) ).
fof(f20,plain,
~ p(c,f(g(d)),g(a)),
inference(resolution,[],[f16,f5]) ).
fof(f24,plain,
~ p(g(a),f(g(d)),c),
inference(resolution,[],[f20,f2]) ).
fof(f27,plain,
~ p(a,f(g(d)),c),
inference(resolution,[],[f24,f5]) ).
fof(f30,plain,
~ p(f(g(d)),a,c),
inference(resolution,[],[f27,f3]) ).
fof(f33,plain,
~ p(c,a,f(g(d))),
inference(resolution,[],[f30,f2]) ).
fof(f36,plain,
~ p(c,a,g(d)),
inference(resolution,[],[f33,f4]) ).
fof(f53,plain,
~ p(g(d),a,c),
inference(resolution,[],[f36,f2]) ).
fof(f57,plain,
~ p(d,a,c),
inference(resolution,[],[f53,f5]) ).
fof(f62,plain,
~ p(a,d,c),
inference(resolution,[],[f57,f3]) ).
fof(f64,plain,
! [X0] :
( ~ p(a,X0,c)
| ~ p(X0,d,c) ),
inference(resolution,[],[f62,f1]) ).
fof(f378,plain,
~ p(a,f(b),c),
inference(resolution,[],[f64,f7]) ).
fof(f383,plain,
$false,
inference(resolution,[],[f378,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n002.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:43:37 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.10/0.27 % (468741)Will run a generic schedule for satisfiability detection.
% 0.10/0.27 % (468752)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1776246212:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.27 % (468747)% WARNING: option uhcvi not known.
% 0.10/0.27 % (468752) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-468741-468752"...
% 0.10/0.27 % (468752)...printing done.
% 0.10/0.27 % (468752)Refutation found. Thanks to Tanya!
% 0.10/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.27 % (468752)------------------------------
% 0.10/0.27 % (468752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27 % (468752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.28 % (468752)CaDiCaL version: 2.1.3
% 0.10/0.28 % (468752)Termination reason: Refutation
% 0.10/0.28 % (468752)Time elapsed: 0.003 s
% 0.10/0.28 % (468752)Peak memory usage: 11 MB
% 0.10/0.28 % (468752)Instructions burned: 8 (million)
% 0.10/0.28 % (468741)Success in time 0.038 s
% 0.10/0.28 % Vampire exiting
%------------------------------------------------------------------------------