%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN233-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 03:39:30 PM UTC 2026
% Result : Unsatisfiable 2.77s 1.22s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 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 : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f128,axiom,
( ~ k0(e)
| ~ r0(e)
| p1(e,e,e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_090) ).
fof(f183,axiom,
! [X0,X1] :
( ~ p1(X0,X1,e)
| ~ r0(e)
| p2(e,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_145) ).
fof(f253,axiom,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_215) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(e,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ l3(e,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i] :
( p2(e,X0,X1)
| ~ r0(e)
| ~ p1(X0,X1,e) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_561,plain,
( p1(e,e,e)
| ~ k0(e)
| ~ r0(e) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_572,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_742,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i] :
( p2(e,X0,X1)
| ~ p1(X0,X1,e) ),
inference(global_subsumption_just,[status(thm)],[c_459,c_572,c_459]) ).
tcf(c_1200,plain,
( p2(e,e,e)
| ~ p1(e,e,e) ),
inference(instantiation,[status(thm)],[c_975]) ).
tcf(c_1203,plain,
! [X0: $i] :
( l3(e,X0)
| ~ r0(e)
| ~ p2(e,X0,e) ),
inference(instantiation,[status(thm)],[c_444]) ).
tcf(c_1206,plain,
~ l3(e,e),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1586,plain,
( l3(e,e)
| ~ r0(e)
| ~ p2(e,e,e) ),
inference(instantiation,[status(thm)],[c_1203]) ).
tcf(c_1593,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1586,c_1206,c_1200,c_561,c_572,c_742]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN233-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n005.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 00:34:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running EPR theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/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...
% 2.77/1.22 % SZS status Started for theBenchmark.p
% 2.77/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.22
% 2.77/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.77/1.22
% 2.77/1.22 % ------ iProver source info
% 2.77/1.22
% 2.77/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 2.77/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.77/1.22 % git: non_committed_changes: false
% 2.77/1.22
% 2.77/1.22 % ------ Parsing...% successful
% 2.77/1.22
% 2.77/1.22
% 2.77/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.77/1.22 %
% 2.77/1.22
% 2.77/1.22 % ------ Preprocessing... sf_s rm: 88 0s sf_e sf_s rm: 0 0s sf_e %
% 2.77/1.22
% 2.77/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.77/1.22 gs_s sp: 80 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.77/1.22 % ------ Proving...
% 2.77/1.22 % ------ Problem Properties
% 2.77/1.22
% 2.77/1.22 %
% 2.77/1.22 % clauses 299
% 2.77/1.22 % conjectures 1
% 2.77/1.22 % EPR 299
% 2.77/1.22 % Horn 259
% 2.77/1.22 % unary 50
% 2.77/1.22 % binary 128
% 2.77/1.22 % lits 712
% 2.77/1.22 % lits eq 0
% 2.77/1.22 % fd_pure 0
% 2.77/1.22 % fd_pseudo 0
% 2.77/1.22 % fd_cond 0
% 2.77/1.22 % fd_pseudo_cond 0
% 2.77/1.22 % AC symbols 0
% 2.77/1.22
% 2.77/1.22 % ------ Schedule EPR non Horn non eq is on
% 2.77/1.22
% 2.77/1.22 % ------ no equalities: superposition off
% 2.77/1.22
% 2.77/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.77/1.22
% 2.77/1.22
% 2.77/1.22 % ------
% 2.77/1.22 % Current options:
% 2.77/1.22 % ------
% 2.77/1.22
% 2.77/1.22
% 2.77/1.22 %
% 2.77/1.22
% 2.77/1.22 % ------ Proving...
% 2.77/1.22 %
% 2.77/1.22
% 2.77/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.22
% 2.77/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.77/1.22
% 2.77/1.22
%------------------------------------------------------------------------------