%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN243-1 : 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 : n002.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 03:39:31 PM UTC 2026
% Result : Unsatisfiable 0.69s 6.13s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 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; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f53,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X1,X0)
| ~ l0(X2)
| m1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_015) ).
fof(f369,negated_conjecture,
~ m1(a,d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ m1(a,d,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1(X1,X0,X0)
| ~ l0(X2)
| ~ m0(X0,X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_573,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_969,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ l0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_569]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_15
| m1(X1,X0,X0)
| ~ m0(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_569]) ).
tcf(c_971,plain,
( iPr_def_15
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_569]) ).
tcf(c_1018,plain,
( ~ iPr_def_14
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_969]) ).
tcf(c_1081,plain,
( m1(a,d,d)
| ~ iPr_def_15
| ~ m0(d,d,a) ),
inference(instantiation,[status(thm)],[c_970]) ).
tcf(c_1084,plain,
m0(d,d,a),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_1085,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1084,c_1081,c_1018,c_971,c_418,c_573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN243-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n002.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 00:39:26 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running EPR theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 0.69/6.13 % SZS status Started for theBenchmark.p
% 0.69/6.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/6.13
% 0.69/6.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.69/6.13
% 0.69/6.13 % ------ iProver source info
% 0.69/6.13
% 0.69/6.13 % git: date: 2026-07-19 20:42:38 +0200
% 0.69/6.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.69/6.13 % git: non_committed_changes: false
% 0.69/6.13
% 0.69/6.13 % ------ Parsing...% successful
% 0.69/6.13
% 0.69/6.13
% 0.69/6.13 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.69/6.13 %
% 0.69/6.13
% 0.69/6.13 % ------ Preprocessing... sf_s rm: 211 0s sf_e sf_s rm: 0 0s sf_e %
% 0.69/6.13
% 0.69/6.13 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.69/6.13 gs_s sp: 10 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.69/6.13 % ------ Proving...
% 0.69/6.13 % ------ Problem Properties
% 0.69/6.13
% 0.69/6.13 %
% 0.69/6.13 % clauses 75
% 0.69/6.13 % conjectures 1
% 0.69/6.13 % EPR 75
% 0.69/6.13 % Horn 70
% 0.69/6.13 % unary 43
% 0.69/6.13 % binary 15
% 0.69/6.13 % lits 129
% 0.69/6.13 % lits eq 0
% 0.69/6.13 % fd_pure 0
% 0.69/6.13 % fd_pseudo 0
% 0.69/6.13 % fd_cond 0
% 0.69/6.13 % fd_pseudo_cond 0
% 0.69/6.13 % AC symbols 0
% 0.69/6.13
% 0.69/6.13 % ------ Schedule EPR non Horn non eq is on
% 0.69/6.13
% 0.69/6.13 % ------ no equalities: superposition off
% 0.69/6.13
% 0.69/6.13 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.69/6.13
% 0.69/6.13
% 0.69/6.13 % ------
% 0.69/6.13 % Current options:
% 0.69/6.13 % ------
% 0.69/6.13
% 0.69/6.13
% 0.69/6.13 %
% 0.69/6.13
% 0.69/6.13 % ------ Proving...
% 0.69/6.13 %
% 0.69/6.13
% 0.69/6.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/6.13
% 0.69/6.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/6.13
% 0.69/6.13
%------------------------------------------------------------------------------