%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN136-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:39:16 PM UTC 2026
% Result : Unsatisfiable 1.96s 11.17s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f138,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_100) ).
fof(f179,axiom,
! [X0] :
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_141) ).
fof(f276,axiom,
! [X0] :
( ~ p2(X0,X0,X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_238) ).
fof(f369,negated_conjecture,
! [X0] : ~ m3(X0,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ m3(X0,a,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_422,plain,
! [X0: $i] :
( p2(X0,a,X0)
| ~ q1(X0,a,X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_439,plain,
! [X0: $i] :
( m3(X0,X0,X0)
| ~ p2(X0,X0,X0) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i] :
( q1(X1,X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_618,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_1189,plain,
~ m3(a,a,a),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1216,plain,
( p2(a,a,a)
| ~ q1(a,a,a) ),
inference(instantiation,[status(thm)],[c_422]) ).
tcf(c_1335,plain,
( q1(a,a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_1567,plain,
( m3(a,a,a)
| ~ p2(a,a,a) ),
inference(instantiation,[status(thm)],[c_439]) ).
tcf(c_1569,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1567,c_1335,c_1216,c_1189,c_618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN136-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.40 % Computer : n016.cluster.edu
% 0.12/10.40 % Model : x86_64 x86_64
% 0.12/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.40 % Memory : 8046.5625MB
% 0.12/10.40 % OS : Linux 6.8.0-71-generic
% 0.12/10.41 % CPULimit : 300
% 0.12/10.41 % WCLimit : 300
% 0.12/10.41 % DateTime : Fri Sep 25 00:21:25 UTC 2026
% 0.12/10.41 % CPUTime :
% 0.12/10.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.44 Running EPR theorem proving
% 0.12/10.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.45
% 0.12/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.12/10.45
% 0.12/10.45 % Detected problem language: tptp
% 0.12/10.46 % Proving...
% 1.96/11.17 % SZS status Started for theBenchmark.p
% 1.96/11.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.96/11.17
% 1.96/11.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.96/11.17
% 1.96/11.17 % ------ iProver source info
% 1.96/11.17
% 1.96/11.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.96/11.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.96/11.17 % git: non_committed_changes: false
% 1.96/11.17
% 1.96/11.17 % ------ Parsing...% successful
% 1.96/11.17
% 1.96/11.17
% 1.96/11.17 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.96/11.17 %
% 1.96/11.17
% 1.96/11.17 % ------ Preprocessing... sf_s rm: 81 0s sf_e sf_s rm: 0 0s sf_e %
% 1.96/11.17
% 1.96/11.17 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.96/11.17 gs_s sp: 79 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.96/11.17 % ------ Proving...
% 1.96/11.17 % ------ Problem Properties
% 1.96/11.17
% 1.96/11.17 %
% 1.96/11.17 % clauses 299
% 1.96/11.17 % conjectures 1
% 1.96/11.17 % EPR 299
% 1.96/11.17 % Horn 260
% 1.96/11.17 % unary 51
% 1.96/11.17 % binary 122
% 1.96/11.17 % lits 721
% 1.96/11.17 % lits eq 0
% 1.96/11.17 % fd_pure 0
% 1.96/11.17 % fd_pseudo 0
% 1.96/11.17 % fd_cond 0
% 1.96/11.17 % fd_pseudo_cond 0
% 1.96/11.17 % AC symbols 0
% 1.96/11.17
% 1.96/11.17 % ------ Schedule EPR non Horn non eq is on
% 1.96/11.17
% 1.96/11.17 % ------ no equalities: superposition off
% 1.96/11.17
% 1.96/11.17 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.96/11.17
% 1.96/11.17
% 1.96/11.17 % ------
% 1.96/11.17 % Current options:
% 1.96/11.17 % ------
% 1.96/11.17
% 1.96/11.17
% 1.96/11.17 %
% 1.96/11.17
% 1.96/11.17 % ------ Proving...
% 1.96/11.17 %
% 1.96/11.17
% 1.96/11.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.96/11.17
% 1.96/11.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.96/11.17
% 1.96/11.17
%------------------------------------------------------------------------------