%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN123-1 : 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 : n014.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 03:39:14 PM UTC 2026
% Result : Unsatisfiable 1.68s 1.19s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 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 : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_10) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f70,axiom,
! [X0] :
( ~ s0(X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_032) ).
fof(f172,axiom,
! [X2,X0,X1] :
( ~ p0(X1,X0)
| ~ m1(X2,X1,X1)
| ~ m0(X1,X0,X2)
| l2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_134) ).
fof(f369,negated_conjecture,
~ l2(d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ l2(d,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_438,plain,
! [X0: $i,X1: $i,X2: $i] :
( l2(X1,X1)
| ~ p0(X0,X1)
| ~ m1(X2,X0,X0)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_669,plain,
p0(b,d),
inference(cnf_transformation,[],[f10]) ).
tcf(c_694,plain,
! [X0: $i] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_696,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_753,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_761,plain,
( m1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i] :
( l2(d,d)
| ~ p0(X1,d)
| ~ m0(X1,d,X0)
| ~ m1(X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_438]) ).
tcf(c_1066,plain,
( l2(d,d)
| ~ p0(b,d)
| ~ m1(b,b,b)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1065]) ).
tcf(c_1067,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1066,c_761,c_753,c_418,c_669,c_696]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN123-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n014.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 00:14:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running EPR theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.68/1.19 % SZS status Started for theBenchmark.p
% 1.68/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.19
% 1.68/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.68/1.19
% 1.68/1.19 % ------ iProver source info
% 1.68/1.19
% 1.68/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.68/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.68/1.19 % git: non_committed_changes: false
% 1.68/1.19
% 1.68/1.19 % ------ Parsing...% successful
% 1.68/1.19
% 1.68/1.19
% 1.68/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.68/1.19 %
% 1.68/1.19
% 1.68/1.19 % ------ Preprocessing... sf_s rm: 242 0s sf_e sf_s rm: 0 0s sf_e %
% 1.68/1.19
% 1.68/1.19 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.68/1.19 gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.68/1.19 % ------ Proving...
% 1.68/1.19 % ------ Problem Properties
% 1.68/1.19
% 1.68/1.19 %
% 1.68/1.19 % clauses 84
% 1.68/1.19 % conjectures 1
% 1.68/1.19 % EPR 84
% 1.68/1.19 % Horn 77
% 1.68/1.19 % unary 43
% 1.68/1.19 % binary 20
% 1.68/1.19 % lits 154
% 1.68/1.19 % lits eq 0
% 1.68/1.19 % fd_pure 0
% 1.68/1.19 % fd_pseudo 0
% 1.68/1.19 % fd_cond 0
% 1.68/1.19 % fd_pseudo_cond 0
% 1.68/1.19 % AC symbols 0
% 1.68/1.19
% 1.68/1.19 % ------ Schedule EPR non Horn non eq is on
% 1.68/1.19
% 1.68/1.19 % ------ no equalities: superposition off
% 1.68/1.19
% 1.68/1.19 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.68/1.19
% 1.68/1.19
% 1.68/1.19 % ------
% 1.68/1.19 % Current options:
% 1.68/1.19 % ------
% 1.68/1.19
% 1.68/1.19
% 1.68/1.19 %
% 1.68/1.19
% 1.68/1.19 % ------ Proving...
% 1.68/1.19 %
% 1.68/1.19
% 1.68/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.19
% 1.68/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.19
% 1.68/1.19
%------------------------------------------------------------------------------