%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:06:46 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p_1_2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_goal_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ p_1_1(X0,X1)
| ~ p_2_2(X0,X1)
| p_1_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type11_1) ).
fof(f10,axiom,
! [X0,X1] :
( ~ nq_2(X1)
| ~ nq_1(X0)
| p_1_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_1) ).
fof(f12,axiom,
! [X0,X1] :
( ~ nq_2(X1)
| ~ nq_1(X0)
| p_2_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_3) ).
fof(f14,axiom,
nq_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).
fof(f16,axiom,
nq_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).
fof(f18,plain,
! [X0] :
( ~ nq_1(X0)
| p_1_1(X0,a) ),
inference(resolution,[],[f10,f16]) ).
fof(f20,plain,
p_1_1(a,a),
inference(resolution,[],[f18,f14]) ).
fof(f24,plain,
! [X0] :
( ~ nq_1(X0)
| p_2_2(X0,a) ),
inference(resolution,[],[f12,f16]) ).
fof(f30,plain,
( ~ p_2_2(a,a)
| p_1_2(a,a) ),
inference(resolution,[],[f2,f20]) ).
fof(f41,plain,
~ p_2_2(a,a),
inference(forward_subsumption_resolution,[],[f30,f1]) ).
fof(f69,plain,
p_2_2(a,a),
inference(resolution,[],[f24,f14]) ).
fof(f73,plain,
$false,
inference(forward_subsumption_resolution,[],[f69,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:34:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.26 % (4093718)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (4093728)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3827031484:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.26 % (4093728) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4093718-4093728"...
% 0.19/0.26 % (4093728)...printing done.
% 0.19/0.26 % (4093724)% WARNING: option uhcvi not known.
% 0.19/0.26 % (4093728)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (4093728)------------------------------
% 0.19/0.26 % (4093728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (4093728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (4093728)CaDiCaL version: 2.1.3
% 0.19/0.26 % (4093728)Termination reason: Refutation
% 0.19/0.26 % (4093728)Time elapsed: 0.001 s
% 0.19/0.26 % (4093728)Peak memory usage: 11 MB
% 0.19/0.26 % (4093728)Instructions burned: 1 (million)
% 0.19/0.26 % (4093718)Success in time 0.034 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------