%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN227-1 : 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 : 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 03:39:29 PM UTC 2026
% Result : Unsatisfiable 3.27s 1.22s
% Output : CNFRefutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 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 : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
fof(f253,axiom,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_215) ).
fof(f369,negated_conjecture,
~ l3(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ l3(b,c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i] :
( p2(X1,X0,X1)
| ~ m1(X0,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_586,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_697,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_741,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_1203,plain,
( l3(b,c)
| ~ r0(b)
| ~ p2(b,c,b) ),
inference(instantiation,[status(thm)],[c_443]) ).
tcf(c_1316,plain,
! [X0: $i] :
( m1(c,X0,c)
| ~ l0(c)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1317,plain,
( m1(c,b,c)
| ~ k0(b)
| ~ l0(c) ),
inference(instantiation,[status(thm)],[c_1316]) ).
tcf(c_1524,plain,
( p2(b,c,b)
| ~ m1(c,b,c) ),
inference(instantiation,[status(thm)],[c_496]) ).
tcf(c_1525,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1524,c_1317,c_1203,c_418,c_586,c_697,c_741]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN227-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:39:08 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running EPR theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 3.27/1.22 % SZS status Started for theBenchmark.p
% 3.27/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.27/1.22
% 3.27/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.27/1.22
% 3.27/1.22 % ------ iProver source info
% 3.27/1.22
% 3.27/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 3.27/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.27/1.22 % git: non_committed_changes: false
% 3.27/1.22
% 3.27/1.22 % ------ Parsing...% successful
% 3.27/1.22
% 3.27/1.22
% 3.27/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.27/1.22 %
% 3.27/1.22
% 3.27/1.22 % ------ Preprocessing... sf_s rm: 88 0s sf_e sf_s rm: 0 0s sf_e %
% 3.27/1.22
% 3.27/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.27/1.22 gs_s sp: 80 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.27/1.22 % ------ Proving...
% 3.27/1.22 % ------ Problem Properties
% 3.27/1.22
% 3.27/1.22 %
% 3.27/1.22 % clauses 299
% 3.27/1.22 % conjectures 1
% 3.27/1.22 % EPR 299
% 3.27/1.22 % Horn 259
% 3.27/1.22 % unary 50
% 3.27/1.22 % binary 128
% 3.27/1.22 % lits 712
% 3.27/1.22 % lits eq 0
% 3.27/1.22 % fd_pure 0
% 3.27/1.22 % fd_pseudo 0
% 3.27/1.22 % fd_cond 0
% 3.27/1.22 % fd_pseudo_cond 0
% 3.27/1.22 % AC symbols 0
% 3.27/1.22
% 3.27/1.22 % ------ Schedule EPR non Horn non eq is on
% 3.27/1.22
% 3.27/1.22 % ------ no equalities: superposition off
% 3.27/1.22
% 3.27/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.27/1.22
% 3.27/1.22
% 3.27/1.22 % ------
% 3.27/1.22 % Current options:
% 3.27/1.22 % ------
% 3.27/1.22
% 3.27/1.22
% 3.27/1.22 %
% 3.27/1.22
% 3.27/1.22 % ------ Proving...
% 3.27/1.22 %
% 3.27/1.22
% 3.27/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.27/1.22
% 3.27/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.27/1.22
% 3.27/1.22
%------------------------------------------------------------------------------