%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN006-1 : 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 02:06:25 PM UTC 2026
% Result : Unsatisfiable 0.30s 0.26s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ p1(X0,f(X1))
| q1(f(X0),X1)
| q2(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] : p1(a,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] : ~ q2(X0,f(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,f(X1))
| q3(f(X0),X1)
| q4(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X0,X1] : ~ q3(X0,g(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] : ~ q4(f(f(X0)),f(g(f(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ q1(X0,f(X1))
| p2(f(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,plain,
! [X0,X1] :
( ~ p1(X0,f(X1))
| q1(f(X0),X1) ),
inference(forward_subsumption_resolution,[],[f1,f3]) ).
fof(f9,plain,
! [X0] : q1(f(a),X0),
inference(resolution,[],[f8,f2]) ).
fof(f10,plain,
! [X0] : p2(f(f(a)),X0),
inference(resolution,[],[f9,f7]) ).
fof(f11,plain,
! [X0] :
( q4(f(f(a)),f(X0))
| q3(f(f(f(a))),X0) ),
inference(resolution,[],[f10,f4]) ).
fof(f12,plain,
! [X0] : q3(f(f(f(a))),g(f(X0))),
inference(resolution,[],[f11,f6]) ).
fof(f13,plain,
$false,
inference(forward_subsumption_resolution,[],[f12,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.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 15:20:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 0.30/0.26 % (4085323)Will run a generic schedule for satisfiability detection.
% 0.30/0.26 % (4085331)dis+10_1_sil=32000:sp=arity:random_seed=2070397564:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.30/0.26 % (4085331) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4085323-4085331"...
% 0.30/0.26 % (4085331)...printing done.
% 0.30/0.26 % (4085329)% WARNING: option uhcvi not known.
% 0.30/0.26 % (4085331)Refutation found. Thanks to Tanya!
% 0.30/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.30/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.26 % (4085331)------------------------------
% 0.30/0.26 % (4085331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.26 % (4085331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.26 % (4085331)CaDiCaL version: 2.1.3
% 0.30/0.26 % (4085331)Termination reason: Refutation
% 0.30/0.26 % (4085331)Time elapsed: 0.001 s
% 0.30/0.26 % (4085331)Peak memory usage: 11 MB
% 0.30/0.26 % (4085323)Success in time 0.028 s
% 0.30/0.26 % Vampire exiting
%------------------------------------------------------------------------------