%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 03:39:11 PM UTC 2026
% Result : Unsatisfiable 0.87s 11.22s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 12 ( 0 sgn 12 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p_1_2(a,a),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',n_t2_3) ).
fof(f14,axiom,
nq_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_1) ).
fof(f16,axiom,
nq_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_3) ).
tcf(c_66,negated_conjecture,
~ p_1_2(a,a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_67,plain,
nq_2(a),
inference(cnf_transformation,[],[f16]) ).
tcf(c_68,plain,
nq_1(a),
inference(cnf_transformation,[],[f14]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( p_1_2(X0,X1)
| ~ p_1_1(X0,X1)
| ~ p_2_2(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( p_2_2(X0,X1)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( p_1_1(X0,X1)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_83,plain,
( p_1_1(a,a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_85,plain,
( p_2_2(a,a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_89,plain,
( p_1_2(a,a)
| ~ p_1_1(a,a)
| ~ p_2_2(a,a) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_90,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_89,c_85,c_83,c_66,c_67,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/10.53 % Computer : n012.cluster.edu
% 0.05/10.53 % Model : x86_64 x86_64
% 0.05/10.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/10.53 % Memory : 8046.5625MB
% 0.05/10.53 % OS : Linux 6.8.0-71-generic
% 0.05/10.53 % CPULimit : 300
% 0.05/10.53 % WCLimit : 300
% 0.05/10.53 % DateTime : Fri Sep 25 00:10:13 UTC 2026
% 0.05/10.53 % CPUTime :
% 0.05/10.53 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/10.55 Running EPR theorem proving
% 0.05/10.55 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/10.56
% 0.05/10.56 % ======== iProver multi-core TPTP/SMT =========
% 0.05/10.56
% 0.05/10.56 % Detected problem language: tptp
% 0.05/10.56 % Proving...
% 0.87/11.22 % SZS status Started for theBenchmark.p
% 0.87/11.22 % SZS status Unsatisfiable for theBenchmark.p
% 0.87/11.22
% 0.87/11.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.87/11.22
% 0.87/11.22 % ------ iProver source info
% 0.87/11.22
% 0.87/11.22 % git: date: 2026-07-19 20:42:38 +0200
% 0.87/11.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.87/11.22 % git: non_committed_changes: false
% 0.87/11.22
% 0.87/11.22 % ------ Parsing...% successful
% 0.87/11.22
% 0.87/11.22
% 0.87/11.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.87/11.22 %
% 0.87/11.22
% 0.87/11.22 % ------ Preprocessing...%
% 0.87/11.22
% 0.87/11.22 % SZS status Unsatisfiable for theBenchmark.p
% 0.87/11.22
% 0.87/11.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.87/11.22
% 0.87/11.22
%------------------------------------------------------------------------------