%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN189-1 : 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 : n016.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 03:39:24 PM UTC 2026
% Result : Unsatisfiable 2.63s 1.20s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 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 : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f226,axiom,
! [X0] :
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).
fof(f369,negated_conjecture,
~ r2(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ r2(c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_445,plain,
! [X0: $i] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_593,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_605,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_618,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_659,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_673,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_682,c_605,c_682]) ).
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_1141,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_997]) ).
tcf(c_1255,plain,
( r2(c)
| ~ r1(c)
| ~ l0(c) ),
inference(instantiation,[status(thm)],[c_445]) ).
tcf(c_1309,plain,
( r1(c)
| ~ q0(c,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1141]) ).
tcf(c_1318,plain,
q0(c,d),
inference(instantiation,[status(thm)],[c_618]) ).
tcf(c_1319,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1318,c_1309,c_1255,c_593,c_418,c_605,c_659,c_673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN189-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 00:31:43 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running EPR theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 2.63/1.20 % SZS status Started for theBenchmark.p
% 2.63/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.63/1.20
% 2.63/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.63/1.20
% 2.63/1.20 % ------ iProver source info
% 2.63/1.20
% 2.63/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 2.63/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.63/1.20 % git: non_committed_changes: false
% 2.63/1.20
% 2.63/1.20 % ------ Parsing...% successful
% 2.63/1.20
% 2.63/1.20
% 2.63/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.63/1.20 %
% 2.63/1.20
% 2.63/1.20 % ------ Preprocessing... sf_s rm: 178 0s sf_e sf_s rm: 0 0s sf_e %
% 2.63/1.20
% 2.63/1.20 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.63/1.20 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.63/1.20 % ------ Proving...
% 2.63/1.20 % ------ Problem Properties
% 2.63/1.20
% 2.63/1.20 %
% 2.63/1.20 % clauses 170
% 2.63/1.20 % conjectures 1
% 2.63/1.20 % EPR 170
% 2.63/1.20 % Horn 150
% 2.63/1.20 % unary 50
% 2.63/1.20 % binary 60
% 2.63/1.20 % lits 370
% 2.63/1.20 % lits eq 0
% 2.63/1.20 % fd_pure 0
% 2.63/1.20 % fd_pseudo 0
% 2.63/1.20 % fd_cond 0
% 2.63/1.20 % fd_pseudo_cond 0
% 2.63/1.20 % AC symbols 0
% 2.63/1.20
% 2.63/1.20 % ------ Schedule EPR non Horn non eq is on
% 2.63/1.20
% 2.63/1.20 % ------ no equalities: superposition off
% 2.63/1.20
% 2.63/1.20 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.63/1.20
% 2.63/1.20
% 2.63/1.20 % ------
% 2.63/1.20 % Current options:
% 2.63/1.20 % ------
% 2.63/1.20
% 2.63/1.20
% 2.63/1.20 %
% 2.63/1.20
% 2.63/1.20 % ------ Proving...
% 2.63/1.20 %
% 2.63/1.20
% 2.63/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.63/1.20
% 2.63/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.63/1.20
% 2.63/1.20
%------------------------------------------------------------------------------