%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN186-1 : 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 : n026.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 03:39:23 PM UTC 2026
% Result : Unsatisfiable 1.62s 11.16s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f369,negated_conjecture,
~ r1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ r1(a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_553,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_619,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_629,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_673,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_673,c_446]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_996]) ).
tcf(c_1102,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_997]) ).
tcf(c_1217,plain,
( r1(a)
| ~ q0(a,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1102]) ).
tcf(c_1282,plain,
q0(a,d),
inference(instantiation,[status(thm)],[c_553]) ).
tcf(c_1283,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1282,c_1217,c_619,c_418,c_629,c_673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN186-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.40 % Computer : n026.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Fri Sep 25 00:29:06 UTC 2026
% 0.11/10.40 % CPUTime :
% 0.11/10.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.44 Running EPR theorem proving
% 0.11/10.44 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
% 0.11/10.45
% 0.11/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.11/10.45
% 0.11/10.45 % Detected problem language: tptp
% 0.11/10.47 % Proving...
% 1.62/11.16 % SZS status Started for theBenchmark.p
% 1.62/11.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.62/11.16
% 1.62/11.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.62/11.16
% 1.62/11.16 % ------ iProver source info
% 1.62/11.16
% 1.62/11.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.62/11.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.62/11.16 % git: non_committed_changes: false
% 1.62/11.16
% 1.62/11.16 % ------ Parsing...% successful
% 1.62/11.16
% 1.62/11.16
% 1.62/11.16 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.62/11.16 %
% 1.62/11.16
% 1.62/11.16 % ------ Preprocessing... sf_s rm: 176 0s sf_e sf_s rm: 0 0s sf_e %
% 1.62/11.16
% 1.62/11.16 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.62/11.16 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.62/11.16 % ------ Proving...
% 1.62/11.16 % ------ Problem Properties
% 1.62/11.16
% 1.62/11.16 %
% 1.62/11.16 % clauses 169
% 1.62/11.16 % conjectures 1
% 1.62/11.16 % EPR 169
% 1.62/11.16 % Horn 149
% 1.62/11.16 % unary 50
% 1.62/11.16 % binary 60
% 1.62/11.16 % lits 367
% 1.62/11.16 % lits eq 0
% 1.62/11.16 % fd_pure 0
% 1.62/11.16 % fd_pseudo 0
% 1.62/11.16 % fd_cond 0
% 1.62/11.16 % fd_pseudo_cond 0
% 1.62/11.16 % AC symbols 0
% 1.62/11.16
% 1.62/11.16 % ------ Schedule EPR non Horn non eq is on
% 1.62/11.16
% 1.62/11.16 % ------ no equalities: superposition off
% 1.62/11.16
% 1.62/11.16 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.62/11.16
% 1.62/11.16
% 1.62/11.16 % ------
% 1.62/11.16 % Current options:
% 1.62/11.16 % ------
% 1.62/11.16
% 1.62/11.16
% 1.62/11.16 %
% 1.62/11.16
% 1.62/11.16 % ------ Proving...
% 1.62/11.16 %
% 1.62/11.16
% 1.62/11.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.62/11.16
% 1.62/11.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.62/11.16
% 1.62/11.16
%------------------------------------------------------------------------------