%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM296+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 02:23:39 PM UTC 2026
% Result : Theorem 2.79s 1.28s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 9 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(f282,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_neg(X2)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_pos) ).
fof(f402,conjecture,
less(nn2,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nn2_less_n2) ).
fof(f403,negated_conjecture,
~ less(nn2,n2),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
~ less(nn2,n2),
inference(flattening,[],[f403]) ).
fof(f408,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2))
| less(X0,X1) ),
inference(ennf_transformation,[],[f282]) ).
fof(f409,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2))
| less(X0,X1) ),
inference(flattening,[],[f408]) ).
fof(f448,plain,
~ less(nn2,n2),
inference(cnf_transformation,[],[f404]) ).
fof(f476,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f481,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2))
| less(X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
fof(f483,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
tcf(c_49,negated_conjecture,
~ less(nn2,n2),
inference(cnf_transformation,[],[f448]) ).
tcf(c_77,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f476]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less(X0,X2)
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X1)) ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_84,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f483]) ).
tcf(c_2338,plain,
! [X0: $i,X1: $i] :
( less(nn2,X0)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(superposition,[status(thm)],[c_84,c_82]) ).
tcf(c_2346,plain,
less(nn2,n2),
inference(superposition,[status(thm)],[c_77,c_2338]) ).
tcf(c_2356,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2346,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM296+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 03:32:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.79/1.28 % SZS status Started for theBenchmark.p
% 2.79/1.28 % SZS status Theorem for theBenchmark.p
% 2.79/1.28
% 2.79/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.79/1.28
% 2.79/1.28 % ------ iProver source info
% 2.79/1.28
% 2.79/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.79/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.79/1.28 % git: non_committed_changes: false
% 2.79/1.28
% 2.79/1.28 % ------ Parsing...
% 2.79/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.79/1.28
% 2.79/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.79/1.28
% 2.79/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.79/1.28
% 2.79/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.79/1.28 % ------ Proving...
% 2.79/1.28 % ------ Problem Properties
% 2.79/1.28
% 2.79/1.28 %
% 2.79/1.28 % clauses 141
% 2.79/1.28 % conjectures 1
% 2.79/1.28 % EPR 7
% 2.79/1.28 % Horn 140
% 2.79/1.28 % unary 122
% 2.79/1.28 % binary 3
% 2.79/1.28 % lits 190
% 2.79/1.28 % lits eq 4
% 2.79/1.28 % fd_pure 0
% 2.79/1.28 % fd_pseudo 0
% 2.79/1.28 % fd_cond 0
% 2.79/1.28 % fd_pseudo_cond 4
% 2.79/1.28 % AC symbols 0
% 2.79/1.28
% 2.79/1.28 % ------ Schedule dynamic 5 is on
% 2.79/1.28
% 2.79/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.79/1.28
% 2.79/1.28
% 2.79/1.28 % ------
% 2.79/1.28 % Current options:
% 2.79/1.28 % ------
% 2.79/1.28
% 2.79/1.28
% 2.79/1.28 %
% 2.79/1.28
% 2.79/1.28 % ------ Proving...
% 2.79/1.28 %
% 2.79/1.28
% 2.79/1.28 % SZS status Theorem for theBenchmark.p
% 2.79/1.28
% 2.79/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/1.28
% 2.79/1.28
%------------------------------------------------------------------------------