%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN154-1 : 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 : n001.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 03:39:19 PM UTC 2026
% Result : Unsatisfiable 1.54s 6.13s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 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 : 14 ( 0 sgn 14 !; 0 ?; 9 :)
% 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(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f369,negated_conjecture,
~ n3(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_430,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_543,plain,
( p1(e,e,e)
| ~ k0(e)
| ~ r0(e) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( p2(e,X0,X1)
| ~ r0(e)
| ~ p1(X0,X1,e) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i,X2: $i] :
( n3(X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_768,negated_conjecture,
~ n3(e),
inference(cnf_transformation,[],[f369]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] :
( p2(e,X0,X1)
| ~ p1(X0,X1,e) ),
inference(global_subsumption_just,[status(thm)],[c_597,c_430,c_597]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i] :
( n3(e)
| ~ p2(X0,X1,e) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_1182,plain,
( p2(e,e,e)
| ~ p1(e,e,e) ),
inference(instantiation,[status(thm)],[c_994]) ).
tcf(c_1504,plain,
( n3(e)
| ~ p2(e,e,e) ),
inference(instantiation,[status(thm)],[c_1180]) ).
tcf(c_1513,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1504,c_1182,c_543,c_768,c_430,c_445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN154-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/5.36 % Computer : n001.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Fri Sep 25 00:26:00 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.41 Running EPR theorem proving
% 0.13/5.41 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 1.54/6.13 % SZS status Started for theBenchmark.p
% 1.54/6.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.54/6.13
% 1.54/6.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.54/6.13
% 1.54/6.13 % ------ iProver source info
% 1.54/6.13
% 1.54/6.13 % git: date: 2026-07-19 20:42:38 +0200
% 1.54/6.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.54/6.13 % git: non_committed_changes: false
% 1.54/6.13
% 1.54/6.13 % ------ Parsing...% successful
% 1.54/6.13
% 1.54/6.13
% 1.54/6.13 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.54/6.13 %
% 1.54/6.13
% 1.54/6.13 % ------ Preprocessing... sf_s rm: 147 0s sf_e sf_s rm: 0 0s sf_e %
% 1.54/6.13
% 1.54/6.13 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.54/6.13 gs_s sp: 59 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.54/6.13 % ------ Proving...
% 1.54/6.13 % ------ Problem Properties
% 1.54/6.13
% 1.54/6.13 %
% 1.54/6.13 % clauses 234
% 1.54/6.13 % conjectures 1
% 1.54/6.13 % EPR 234
% 1.54/6.13 % Horn 204
% 1.54/6.13 % unary 50
% 1.54/6.13 % binary 97
% 1.54/6.13 % lits 539
% 1.54/6.13 % lits eq 0
% 1.54/6.13 % fd_pure 0
% 1.54/6.13 % fd_pseudo 0
% 1.54/6.13 % fd_cond 0
% 1.54/6.13 % fd_pseudo_cond 0
% 1.54/6.13 % AC symbols 0
% 1.54/6.13
% 1.54/6.13 % ------ Schedule EPR non Horn non eq is on
% 1.54/6.13
% 1.54/6.13 % ------ no equalities: superposition off
% 1.54/6.13
% 1.54/6.13 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.54/6.13
% 1.54/6.13
% 1.54/6.13 % ------
% 1.54/6.13 % Current options:
% 1.54/6.13 % ------
% 1.54/6.13
% 1.54/6.13
% 1.54/6.13 %
% 1.54/6.13
% 1.54/6.13 % ------ Proving...
% 1.54/6.13 %
% 1.54/6.13
% 1.54/6.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.54/6.13
% 1.54/6.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/6.14
% 1.54/6.14
%------------------------------------------------------------------------------