%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM458+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 02:24:32 PM UTC 2026
% Result : Theorem 2.68s 1.29s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 33 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 9 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 7 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f20,axiom,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__718) ).
fof(f21,conjecture,
( sdtlseqdt0(xm,xm)
| ? [X0] :
( sdtpldt0(xm,X0) = xm
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f22,negated_conjecture,
~ ( sdtlseqdt0(xm,xm)
| ? [X0] :
( sdtpldt0(xm,X0) = xm
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f32,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f53,plain,
( ~ sdtlseqdt0(xm,xm)
& ! [X0] :
( xm != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f59,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f67,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f89,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f20]) ).
fof(f91,plain,
! [X0] :
( xm != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f59]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_79,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f89]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_86,plain,
( ~ aNaturalNumber0(sz00)
| ( sdtpldt0(xm,sz00) != xm ) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_1456,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_79,c_56]) ).
tcf(c_1457,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1456,c_86,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM458+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 04:07:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 2.68/1.29 % SZS status Started for theBenchmark.p
% 2.68/1.29 % SZS status Theorem for theBenchmark.p
% 2.68/1.29
% 2.68/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.68/1.29
% 2.68/1.29 % ------ iProver source info
% 2.68/1.29
% 2.68/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.68/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.68/1.29 % git: non_committed_changes: false
% 2.68/1.29
% 2.68/1.29 % ------ Parsing...
% 2.68/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.68/1.29
% 2.68/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.68/1.29
% 2.68/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.68/1.29
% 2.68/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.68/1.29 % ------ Proving...
% 2.68/1.29 % ------ Problem Properties
% 2.68/1.29
% 2.68/1.29 %
% 2.68/1.29 % clauses 31
% 2.68/1.29 % conjectures 1
% 2.68/1.29 % EPR 4
% 2.68/1.29 % Horn 28
% 2.68/1.29 % unary 4
% 2.68/1.29 % binary 7
% 2.68/1.29 % lits 96
% 2.68/1.29 % lits eq 34
% 2.68/1.29 % fd_pure 0
% 2.68/1.29 % fd_pseudo 0
% 2.68/1.29 % fd_cond 3
% 2.68/1.29 % fd_pseudo_cond 4
% 2.68/1.29 % AC symbols 0
% 2.68/1.29
% 2.68/1.29 % ------ Schedule dynamic 5 is on
% 2.68/1.29
% 2.68/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.68/1.29
% 2.68/1.29
% 2.68/1.29 % ------
% 2.68/1.29 % Current options:
% 2.68/1.29 % ------
% 2.68/1.29
% 2.68/1.29
% 2.68/1.29 %
% 2.68/1.29
% 2.68/1.29 % ------ Proving...
% 2.68/1.29 %
% 2.68/1.29
% 2.68/1.29 % SZS status Theorem for theBenchmark.p
% 2.68/1.29
% 2.68/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.68/1.29
% 2.68/1.29
%------------------------------------------------------------------------------