%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN251-1 : 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 : 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 03:39:32 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.23s
% Output : CNFRefutation 1.26s
% 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 : 8 ( 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f49,axiom,
! [X0,X1] :
( ~ n0(X1,X1)
| ~ k0(X0)
| m1(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_011) ).
fof(f54,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X3,X1)
| ~ m1(X2,X1,X0)
| m1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_016) ).
fof(f70,axiom,
! [X0] :
( ~ s0(X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_032) ).
fof(f369,negated_conjecture,
~ m1(e,b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ m1(e,b,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1(X2,X1,X1)
| ~ m1(X0,X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_550,plain,
! [X0: $i] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_553,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( m1(X1,X1,X0)
| ~ k0(X1)
| ~ n0(X0,X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_583,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_593,plain,
n0(e,e),
inference(cnf_transformation,[],[f30]) ).
tcf(c_730,plain,
( m1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_550]) ).
tcf(c_1015,plain,
! [X0: $i,X1: $i] :
( m1(e,b,b)
| ~ m1(X0,b,e)
| ~ m1(X0,X1,b) ),
inference(instantiation,[status(thm)],[c_445]) ).
tcf(c_1016,plain,
( m1(e,b,b)
| ~ m1(b,b,b)
| ~ m1(b,b,e) ),
inference(instantiation,[status(thm)],[c_1015]) ).
tcf(c_1052,plain,
( m1(b,b,e)
| ~ k0(b)
| ~ n0(e,e) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_1053,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1052,c_1016,c_730,c_418,c_593,c_553,c_583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN251-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n004.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Fri Sep 25 00:37:38 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running EPR theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.26/1.23 % SZS status Started for theBenchmark.p
% 1.26/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.23
% 1.26/1.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.26/1.23
% 1.26/1.23 % ------ iProver source info
% 1.26/1.23
% 1.26/1.23 % git: date: 2026-07-19 20:42:38 +0200
% 1.26/1.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.26/1.23 % git: non_committed_changes: false
% 1.26/1.23
% 1.26/1.23 % ------ Parsing...% successful
% 1.26/1.23
% 1.26/1.23
% 1.26/1.23 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.26/1.23 %
% 1.26/1.23
% 1.26/1.23 % ------ Preprocessing... sf_s rm: 211 0s sf_e sf_s rm: 0 0s sf_e %
% 1.26/1.23
% 1.26/1.23 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.26/1.23 gs_s sp: 10 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.26/1.23 % ------ Proving...
% 1.26/1.23 % ------ Problem Properties
% 1.26/1.23
% 1.26/1.23 %
% 1.26/1.23 % clauses 75
% 1.26/1.23 % conjectures 1
% 1.26/1.23 % EPR 75
% 1.26/1.23 % Horn 70
% 1.26/1.23 % unary 43
% 1.26/1.23 % binary 15
% 1.26/1.23 % lits 129
% 1.26/1.23 % lits eq 0
% 1.26/1.23 % fd_pure 0
% 1.26/1.23 % fd_pseudo 0
% 1.26/1.23 % fd_cond 0
% 1.26/1.23 % fd_pseudo_cond 0
% 1.26/1.23 % AC symbols 0
% 1.26/1.23
% 1.26/1.23 % ------ Schedule EPR non Horn non eq is on
% 1.26/1.23
% 1.26/1.23 % ------ no equalities: superposition off
% 1.26/1.23
% 1.26/1.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.26/1.23
% 1.26/1.23
% 1.26/1.23 % ------
% 1.26/1.23 % Current options:
% 1.26/1.23 % ------
% 1.26/1.23
% 1.26/1.23
% 1.26/1.23 %
% 1.26/1.23
% 1.26/1.23 % ------ Proving...
% 1.26/1.23 %
% 1.26/1.23
% 1.26/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.23
% 1.26/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.26/1.23
% 1.26/1.23
%------------------------------------------------------------------------------