%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN721-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 03:41:28 PM UTC 2026
% Result : Unsatisfiable 1.51s 1.21s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
r(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ r(X0,X1)
| q(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ q(X2,X1)
| r(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_3) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ r(b,X0)
| ~ q(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_4) ).
tcf(c_53,negated_conjecture,
r(a,b),
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X0,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,X1)
| ~ q(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
! [X0: $i] :
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
q(a,a),
inference(resolution,[status(thm)],[c_54,c_53]) ).
tcf(c_61,plain,
! [X0: $i] : r(X0,a),
inference(resolution,[status(thm)],[c_60,c_55]) ).
tcf(c_64,plain,
~ q(a,a),
inference(resolution,[status(thm)],[c_61,c_56]) ).
tcf(c_65,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_64,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN721-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 02:11:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running EPR theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.51/1.21 % SZS status Started for theBenchmark.p
% 1.51/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.51/1.21
% 1.51/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.51/1.21
% 1.51/1.21 % ------ iProver source info
% 1.51/1.21
% 1.51/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 1.51/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.51/1.21 % git: non_committed_changes: false
% 1.51/1.21
% 1.51/1.21 % ------ Parsing...% successful
% 1.51/1.21
% 1.51/1.21
% 1.51/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.51/1.21 %
% 1.51/1.21
% 1.51/1.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.51/1.21
% 1.51/1.21 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.51/1.21 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.51/1.21 % ------ Proving...
% 1.51/1.21 % ------ Problem Properties
% 1.51/1.21
% 1.51/1.21 %
% 1.51/1.21 % clauses 4
% 1.51/1.21 % conjectures 4
% 1.51/1.21 % EPR 4
% 1.51/1.21 % Horn 4
% 1.51/1.21 % unary 1
% 1.51/1.21 % binary 3
% 1.51/1.21 % lits 7
% 1.51/1.21 % lits eq 0
% 1.51/1.21 % fd_pure 0
% 1.51/1.21 % fd_pseudo 0
% 1.51/1.21 % fd_cond 0
% 1.51/1.21 % fd_pseudo_cond 0
% 1.51/1.21 % AC symbols 0
% 1.51/1.21
% 1.51/1.21 % ------ Schedule EPR Horn non eq is on
% 1.51/1.21
% 1.51/1.21 % ------ no equalities: superposition off
% 1.51/1.21
% 1.51/1.21 % ------ Option_epr_horn Time Limit: Unbounded
% 1.51/1.21
% 1.51/1.21
% 1.51/1.21 % ------
% 1.51/1.21 % Current options:
% 1.51/1.21 % ------
% 1.51/1.21
% 1.51/1.21
% 1.51/1.21 %
% 1.51/1.21
% 1.51/1.21 % ------ Proving...
% 1.51/1.21 %
% 1.51/1.21
% 1.51/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.51/1.21
% 1.51/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.51/1.21
% 1.51/1.21
%------------------------------------------------------------------------------