%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG339-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 12:54:04 PM UTC 2026
% Result : Unsatisfiable 11.16s 12.96s
% Output : CNFRefutation 11.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 9 unt; 1 def)
% Number of atoms : 79 ( 1 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 72 ( 40 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f555,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_0) ).
fof(f576,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_2) ).
fof(f577,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_1) ).
fof(f612,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f613,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f614,negated_conjecture,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,v_d2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_1002,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f555]) ).
tcf(c_1022,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f576]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f577]) ).
tcf(c_1054,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
inference(cnf_transformation,[],[f612]) ).
tcf(c_1055,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
inference(cnf_transformation,[],[f613]) ).
tcf(c_1056,negated_conjecture,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(X0,v_d2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(cnf_transformation,[],[f614]) ).
tcf(c_17280,definition,
iPr_def_10 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_17281,negated_conjecture,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(iPr_def_10,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,v_d2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,v_d1,tc_RealDef_Oreal) ),
inference(demodulation,[status(thm)],[c_1056,c_17280]) ).
tcf(c_17282,negated_conjecture,
c_HOL_Oord__class_Oless(iPr_def_10,v_d2,tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_1055]) ).
tcf(c_17283,negated_conjecture,
c_HOL_Oord__class_Oless(iPr_def_10,v_d1,tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_1054]) ).
tcf(c_25190,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,X0,tc_RealDef_Oreal) ),
inference(light_normalisation,[status(thm)],[c_1022,c_17280]) ).
tcf(c_25202,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(iPr_def_10,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d1),v_d2,tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_25190,c_17281]) ).
tcf(c_25215,plain,
! [X0: $i] :
( ~ c_HOL_Oord__class_Oless(iPr_def_10,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d1),v_d2,tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25202,c_17283]) ).
tcf(c_25221,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,X0,tc_RealDef_Oreal) ),
inference(light_normalisation,[status(thm)],[c_1023,c_17280]) ).
tcf(c_25404,plain,
( ~ c_HOL_Oord__class_Oless(iPr_def_10,v_d2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_25221,c_25215]) ).
tcf(c_25405,plain,
~ c_HOL_Oord__class_Oless(iPr_def_10,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[status(thm)],[c_25404,c_17282,c_17283]) ).
tcf(c_25470,plain,
! [X0: $i,X1: $i] :
( c_HOL_Oord__class_Oless(iPr_def_10,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,X0,tc_RealDef_Oreal) ),
inference(light_normalisation,[status(thm)],[c_1002,c_17280]) ).
tcf(c_25483,plain,
( ~ c_HOL_Oord__class_Oless(iPr_def_10,v_d2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(iPr_def_10,v_d1,tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_25470,c_25405]) ).
tcf(c_25485,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_25483,c_17282,c_17283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG339-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/10.38 % Computer : n004.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Fri Sep 25 05:26:03 UTC 2026
% 0.09/10.39 % CPUTime :
% 0.09/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/10.45 Running first-order theorem proving
% 0.16/10.45 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
% 0.16/10.47
% 0.16/10.47 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.47
% 0.16/10.47 % Detected problem language: tptp
% 0.16/10.49 % Proving...
% 11.16/12.96 % SZS status Started for theBenchmark.p
% 11.16/12.96 % SZS status Unsatisfiable for theBenchmark.p
% 11.16/12.96
% 11.16/12.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.16/12.96
% 11.16/12.96 % ------ iProver source info
% 11.16/12.96
% 11.16/12.96 % git: date: 2026-07-19 20:42:38 +0200
% 11.16/12.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.16/12.96 % git: non_committed_changes: false
% 11.16/12.96
% 11.16/12.96 % ------ Parsing...% successful
% 11.16/12.96
% 11.16/12.96
% 11.16/12.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.16/12.96
% 11.16/12.96 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 47 sf_s rm: 56 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 56 0s sf_e pe_s pe_e %
% 11.16/12.96
% 11.16/12.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.16/12.96
% 11.16/12.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.16/12.96 % ------ Proving...
% 11.16/12.96 % ------ Problem Properties
% 11.16/12.96
% 11.16/12.96 %
% 11.16/12.96 % clauses 330
% 11.16/12.96 % conjectures 3
% 11.16/12.96 % EPR 11
% 11.16/12.96 % Horn 275
% 11.16/12.96 % unary 130
% 11.16/12.96 % binary 98
% 11.16/12.96 % lits 646
% 11.16/12.96 % lits eq 239
% 11.16/12.96 % fd_pure 0
% 11.16/12.96 % fd_pseudo 0
% 11.16/12.96 % fd_cond 31
% 11.16/12.96 % fd_pseudo_cond 28
% 11.16/12.96 % AC symbols 0
% 11.16/12.96
% 11.16/12.96 % ------ Schedule dynamic 5 is on
% 11.16/12.96
% 11.16/12.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.16/12.96
% 11.16/12.96
% 11.16/12.96 % ------
% 11.16/12.96 % Current options:
% 11.16/12.96 % ------
% 11.16/12.96
% 11.16/12.96
% 11.16/12.96 %
% 11.16/12.96
% 11.16/12.96 % ------ Proving...
% 11.16/12.96 %
% 11.16/12.96
% 11.16/12.96 % SZS status Unsatisfiable for theBenchmark.p
% 11.16/12.96
% 11.16/12.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.16/12.96
% 11.16/12.96
%------------------------------------------------------------------------------