%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN223-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 03:39:28 PM UTC 2026
% Result : Unsatisfiable 2.38s 1.14s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 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 : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f78,axiom,
! [X0,X1] :
( ~ k1(X0)
| ~ m0(X0,X1,e)
| n1(X0,e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_040) ).
fof(f208,axiom,
! [X0] :
( ~ n1(X0,e,e)
| p2(X0,e,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_170) ).
fof(f253,axiom,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_215) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ l3(X0,e),
inference(cnf_transformation,[],[f369]) ).
tcf(c_420,plain,
! [X0: $i] :
( p2(X0,e,X0)
| ~ n1(X0,e,e) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_427,plain,
m0(b,b,e),
inference(cnf_transformation,[],[f31]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_573,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_697,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i] :
( n1(X0,e,e)
| ~ k1(X0)
| ~ m0(X0,X1,e) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_756,plain,
~ l3(b,e),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_814,plain,
( p2(b,e,b)
| ~ n1(b,e,e) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_836,plain,
( n1(b,e,e)
| ~ k1(b)
| ~ m0(b,b,e) ),
inference(instantiation,[status(thm)],[c_704]) ).
tcf(c_1204,plain,
! [X0: $i] :
( l3(X0,e)
| ~ r0(X0)
| ~ p2(X0,e,X0) ),
inference(instantiation,[status(thm)],[c_444]) ).
tcf(c_1205,plain,
( l3(b,e)
| ~ r0(b)
| ~ p2(b,e,b) ),
inference(instantiation,[status(thm)],[c_1204]) ).
tcf(c_1219,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_1220,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1219,c_1205,c_836,c_814,c_427,c_756,c_697,c_573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN223-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 00:32:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running EPR theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.38/1.14 % SZS status Started for theBenchmark.p
% 2.38/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.38/1.14
% 2.38/1.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.38/1.14
% 2.38/1.14 % ------ iProver source info
% 2.38/1.14
% 2.38/1.14 % git: date: 2026-07-19 20:42:38 +0200
% 2.38/1.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.38/1.14 % git: non_committed_changes: false
% 2.38/1.14
% 2.38/1.14 % ------ Parsing...% successful
% 2.38/1.14
% 2.38/1.14
% 2.38/1.14 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.38/1.14 %
% 2.38/1.14
% 2.38/1.14 % ------ Preprocessing... sf_s rm: 87 0s sf_e sf_s rm: 0 0s sf_e %
% 2.38/1.14
% 2.38/1.14 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.38/1.14 gs_s sp: 80 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.38/1.14 % ------ Proving...
% 2.38/1.14 % ------ Problem Properties
% 2.38/1.14
% 2.38/1.14 %
% 2.38/1.14 % clauses 300
% 2.38/1.14 % conjectures 1
% 2.38/1.14 % EPR 300
% 2.38/1.14 % Horn 260
% 2.38/1.14 % unary 51
% 2.38/1.14 % binary 128
% 2.38/1.14 % lits 713
% 2.38/1.14 % lits eq 0
% 2.38/1.14 % fd_pure 0
% 2.38/1.14 % fd_pseudo 0
% 2.38/1.14 % fd_cond 0
% 2.38/1.14 % fd_pseudo_cond 0
% 2.38/1.14 % AC symbols 0
% 2.38/1.14
% 2.38/1.14 % ------ Schedule EPR non Horn non eq is on
% 2.38/1.14
% 2.38/1.14 % ------ no equalities: superposition off
% 2.38/1.14
% 2.38/1.14 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.38/1.14
% 2.38/1.14
% 2.38/1.14 % ------
% 2.38/1.14 % Current options:
% 2.38/1.14 % ------
% 2.38/1.14
% 2.38/1.14
% 2.38/1.14 %
% 2.38/1.14
% 2.38/1.14 % ------ Proving...
% 2.38/1.14 %
% 2.38/1.14
% 2.38/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.38/1.14
% 2.38/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.38/1.14
% 2.38/1.14
%------------------------------------------------------------------------------