%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN235-1 : 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 : n009.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 03:39:30 PM UTC 2026
% Result : Unsatisfiable 2.95s 1.20s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ r0(X0)
| ~ p0(X2,X1)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_007) ).
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(e,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ l3(e,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i] :
( p2(X1,X0,X1)
| ~ m1(X0,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1(X2,X1,X2)
| ~ r0(X2)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_572,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_573,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_648,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_1209,plain,
( l3(e,b)
| ~ r0(e)
| ~ p2(e,b,e) ),
inference(instantiation,[status(thm)],[c_444]) ).
tcf(c_1351,plain,
! [X0: $i] :
( p2(e,X0,e)
| ~ m1(X0,e,X0) ),
inference(instantiation,[status(thm)],[c_467]) ).
tcf(c_1353,plain,
( p2(e,b,e)
| ~ m1(b,e,b) ),
inference(instantiation,[status(thm)],[c_1351]) ).
tcf(c_1605,plain,
! [X0: $i,X1: $i] :
( m1(X1,e,X1)
| ~ r0(X1)
| ~ p0(X0,e) ),
inference(instantiation,[status(thm)],[c_571]) ).
tcf(c_1606,plain,
( m1(b,e,b)
| ~ r0(b)
| ~ p0(b,e) ),
inference(instantiation,[status(thm)],[c_1605]) ).
tcf(c_1667,plain,
p0(b,e),
inference(instantiation,[status(thm)],[c_648]) ).
tcf(c_1668,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1667,c_1606,c_1353,c_1209,c_418,c_572,c_573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN235-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 00:34:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running EPR theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.95/1.20 % SZS status Started for theBenchmark.p
% 2.95/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.95/1.20
% 2.95/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.95/1.20
% 2.95/1.20 % ------ iProver source info
% 2.95/1.20
% 2.95/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 2.95/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.95/1.20 % git: non_committed_changes: false
% 2.95/1.20
% 2.95/1.20 % ------ Parsing...% successful
% 2.95/1.20
% 2.95/1.20
% 2.95/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.95/1.20 %
% 2.95/1.20
% 2.95/1.20 % ------ Preprocessing... sf_s rm: 88 0s sf_e sf_s rm: 0 0s sf_e %
% 2.95/1.20
% 2.95/1.20 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.95/1.20 gs_s sp: 80 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.95/1.20 % ------ Proving...
% 2.95/1.20 % ------ Problem Properties
% 2.95/1.20
% 2.95/1.20 %
% 2.95/1.20 % clauses 299
% 2.95/1.20 % conjectures 1
% 2.95/1.20 % EPR 299
% 2.95/1.20 % Horn 259
% 2.95/1.20 % unary 50
% 2.95/1.20 % binary 128
% 2.95/1.20 % lits 712
% 2.95/1.20 % lits eq 0
% 2.95/1.20 % fd_pure 0
% 2.95/1.20 % fd_pseudo 0
% 2.95/1.20 % fd_cond 0
% 2.95/1.20 % fd_pseudo_cond 0
% 2.95/1.20 % AC symbols 0
% 2.95/1.20
% 2.95/1.20 % ------ Schedule EPR non Horn non eq is on
% 2.95/1.20
% 2.95/1.20 % ------ no equalities: superposition off
% 2.95/1.20
% 2.95/1.20 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.95/1.20
% 2.95/1.20
% 2.95/1.20 % ------
% 2.95/1.20 % Current options:
% 2.95/1.20 % ------
% 2.95/1.20
% 2.95/1.20
% 2.95/1.20 %
% 2.95/1.20
% 2.95/1.20 % ------ Proving...
% 2.95/1.20 %
% 2.95/1.20
% 2.95/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.95/1.20
% 2.95/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.95/1.20
% 2.95/1.20
%------------------------------------------------------------------------------