%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM322+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 02:23:42 PM UTC 2026
% Result : Theorem 1.38s 1.49s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 12 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn 19 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn5) ).
fof(f291,axiom,
! [X0,X1,X2] :
( ( rdn_translate(X1,rdn_neg(X2))
& rdn_translate(X0,rdn_pos(X2)) )
=> sum(X0,X1,n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).
fof(f402,conjecture,
? [X0] : sum(n5,nn5,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n5_nn5_what) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n5,nn5,X0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f407,plain,
! [X0,X1,X2] :
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2))
| sum(X0,X1,n0) ),
inference(ennf_transformation,[],[f291]) ).
fof(f408,plain,
! [X0,X1,X2] :
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2))
| sum(X0,X1,n0) ),
inference(flattening,[],[f407]) ).
fof(f434,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(cnf_transformation,[],[f404]) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2))
| sum(X0,X1,n0) ),
inference(cnf_transformation,[],[f408]) ).
fof(f468,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f469,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] : ~ sum(n5,nn5,X0),
inference(cnf_transformation,[],[f434]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X0,X2,n0)
| ~ rdn_translate(X2,rdn_neg(X1))
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_83,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f468]) ).
tcf(c_84,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f469]) ).
tcf(c_196,plain,
~ sum(n5,nn5,n0),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_1039,plain,
! [X0: $i] :
( sum(n5,X0,n0)
| ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X0,rdn_neg(rdnn(n5))) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_1276,plain,
( sum(n5,nn5,n0)
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| ~ rdn_translate(n5,rdn_pos(rdnn(n5))) ),
inference(instantiation,[status(thm)],[c_1039]) ).
tcf(c_1278,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1276,c_83,c_84,c_196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM322+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.57 % Computer : n001.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Thu Sep 24 03:41:52 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.61 Running first-order theorem proving
% 0.10/0.61 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.62
% 0.10/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.62
% 0.10/0.62 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 1.38/1.49 % SZS status Started for theBenchmark.p
% 1.38/1.49 % SZS status Theorem for theBenchmark.p
% 1.38/1.49
% 1.38/1.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.38/1.49
% 1.38/1.49 % ------ iProver source info
% 1.38/1.49
% 1.38/1.49 % git: date: 2026-07-19 20:42:38 +0200
% 1.38/1.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.38/1.49 % git: non_committed_changes: false
% 1.38/1.49
% 1.38/1.49 % ------ Parsing...
% 1.38/1.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.38/1.49
% 1.38/1.49 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.38/1.49
% 1.38/1.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.38/1.49 % ------ Proving...
% 1.38/1.49 % ------ Problem Properties
% 1.38/1.49
% 1.38/1.49 %
% 1.38/1.49 % clauses 146
% 1.38/1.49 % conjectures 1
% 1.38/1.49 % EPR 1
% 1.38/1.49 % Horn 146
% 1.38/1.49 % unary 130
% 1.38/1.49 % binary 4
% 1.38/1.49 % lits 195
% 1.38/1.49 % lits eq 0
% 1.38/1.49 % fd_pure 0
% 1.38/1.49 % fd_pseudo 0
% 1.38/1.49 % fd_cond 0
% 1.38/1.49 % fd_pseudo_cond 0
% 1.38/1.49 % AC symbols 0
% 1.38/1.49
% 1.38/1.49 % ------ Schedule dynamic 5 is on
% 1.38/1.49
% 1.38/1.49 % ------ no equalities: superposition off
% 1.38/1.49
% 1.38/1.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.38/1.49
% 1.38/1.49
% 1.38/1.49 % ------
% 1.38/1.49 % Current options:
% 1.38/1.49 % ------
% 1.38/1.49
% 1.38/1.49
% 1.38/1.49 %
% 1.38/1.49
% 1.38/1.49 % ------ Proving...
% 1.38/1.49 %
% 1.38/1.49
% 1.38/1.49 % SZS status Theorem for theBenchmark.p
% 1.38/1.49
% 1.38/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.38/1.49
% 1.38/1.49
%------------------------------------------------------------------------------