%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN234-1 : 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 : 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 03:39:30 PM UTC 2026
% Result : Unsatisfiable 1.58s 6.32s
% Output : CNFRefutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 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 : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
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,
~ l3(e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_430,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_437,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] :
( p2(X1,X0,X1)
| ~ m1(X0,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_768,negated_conjecture,
~ l3(e,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1234,plain,
( l3(e,a)
| ~ r0(e)
| ~ p2(e,a,e) ),
inference(instantiation,[status(thm)],[c_665]) ).
tcf(c_1333,plain,
! [X0: $i] :
( m1(a,X0,a)
| ~ l0(a)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_476]) ).
tcf(c_1455,plain,
! [X0: $i] :
( p2(e,X0,e)
| ~ m1(X0,e,X0) ),
inference(instantiation,[status(thm)],[c_628]) ).
tcf(c_1677,plain,
( p2(e,a,e)
| ~ m1(a,e,a) ),
inference(instantiation,[status(thm)],[c_1455]) ).
tcf(c_1678,plain,
( m1(a,e,a)
| ~ k0(e)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_1333]) ).
tcf(c_1679,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1678,c_1677,c_1234,c_768,c_430,c_437,c_445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN234-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.58 % Computer : n004.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Fri Sep 25 00:34:57 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.10/5.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.63 Running EPR theorem proving
% 0.14/5.63 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
% 0.14/5.64
% 0.14/5.64 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.64
% 0.14/5.64 % Detected problem language: tptp
% 0.14/5.65 % Proving...
% 1.58/6.32 % SZS status Started for theBenchmark.p
% 1.58/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 1.58/6.32
% 1.58/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.58/6.32
% 1.58/6.32 % ------ iProver source info
% 1.58/6.32
% 1.58/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 1.58/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.58/6.32 % git: non_committed_changes: false
% 1.58/6.32
% 1.58/6.32 % ------ Parsing...% successful
% 1.58/6.32
% 1.58/6.32
% 1.58/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.58/6.32 %
% 1.58/6.32
% 1.58/6.32 % ------ Preprocessing... sf_s rm: 103 0s sf_e sf_s rm: 0 0s sf_e %
% 1.58/6.32
% 1.58/6.32 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.58/6.32 gs_s sp: 80 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.58/6.32 % ------ Proving...
% 1.58/6.32 % ------ Problem Properties
% 1.58/6.32
% 1.58/6.32 %
% 1.58/6.32 % clauses 299
% 1.58/6.32 % conjectures 1
% 1.58/6.32 % EPR 299
% 1.58/6.32 % Horn 259
% 1.58/6.32 % unary 50
% 1.58/6.32 % binary 128
% 1.58/6.32 % lits 712
% 1.58/6.32 % lits eq 0
% 1.58/6.32 % fd_pure 0
% 1.58/6.32 % fd_pseudo 0
% 1.58/6.32 % fd_cond 0
% 1.58/6.32 % fd_pseudo_cond 0
% 1.58/6.32 % AC symbols 0
% 1.58/6.32
% 1.58/6.32 % ------ Schedule EPR non Horn non eq is on
% 1.58/6.32
% 1.58/6.32 % ------ no equalities: superposition off
% 1.58/6.32
% 1.58/6.32 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.58/6.32
% 1.58/6.32
% 1.58/6.32 % ------
% 1.58/6.32 % Current options:
% 1.58/6.32 % ------
% 1.58/6.32
% 1.58/6.32
% 1.58/6.32 %
% 1.58/6.32
% 1.58/6.32 % ------ Proving...
% 1.58/6.32 %
% 1.58/6.32
% 1.58/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 1.58/6.32
% 1.58/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.58/6.32
% 1.58/6.32
%------------------------------------------------------------------------------