%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% 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 01:10:24 PM UTC 2026
% Result : Theorem 10.79s 2.51s
% Output : CNFRefutation 10.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 17 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 90 ( 44 ~; 38 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_25) ).
fof(f105,axiom,
! [X0] :
( ( ridgeline_topographical(X0)
& mtvisible(c_tptp_member235_mt) )
=> tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_105) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
fof(f315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_315) ).
fof(f364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_364) ).
fof(f419,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_419) ).
fof(f1123,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(f1132,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query115) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1238,plain,
( ~ mtvisible(c_cyclistsmt)
| ridgeline_topographical(c_tptpridgeline_topographical) ),
inference(ennf_transformation,[],[f25]) ).
fof(f1275,plain,
! [X0] :
( ~ ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt)
| tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
inference(ennf_transformation,[],[f105]) ).
fof(f1276,plain,
! [X0] :
( ~ ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt)
| tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
inference(flattening,[],[f1275]) ).
fof(f2012,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f2013,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f2012]) ).
fof(f2022,plain,
( mtvisible(c_tptp_spindlecollectormt)
& ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2047,plain,
( ~ mtvisible(c_cyclistsmt)
| ridgeline_topographical(c_tptpridgeline_topographical) ),
inference(cnf_transformation,[],[f1238]) ).
fof(f2126,plain,
! [X0] :
( ~ ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt)
| tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
inference(cnf_transformation,[],[f1276]) ).
fof(f2275,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f254]) ).
fof(f2335,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f315]) ).
fof(f2384,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f364]) ).
fof(f2439,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[],[f419]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3062,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[],[f2022]) ).
tcf(c_73,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f2047]) ).
tcf(c_152,plain,
! [X0: $i] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(cnf_transformation,[],[f2126]) ).
tcf(c_301,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f2275]) ).
tcf(c_361,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f2335]) ).
tcf(c_410,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[],[f2384]) ).
tcf(c_465,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[],[f2439]) ).
tcf(c_1079,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f3053]) ).
tcf(c_1088,negated_conjecture,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[],[f3063]) ).
tcf(c_1089,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f3062]) ).
tcf(c_2589,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
tcf(c_11384,plain,
( tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolution,[status(thm)],[c_2589,c_152]) ).
tcf(c_11385,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(global_subsumption_just,[status(thm)],[c_11384,c_1088,c_11384]) ).
tcf(c_11386,plain,
( ~ mtvisible(c_tptp_member235_mt)
| ~ mtvisible(c_cyclistsmt) ),
inference(renaming,[status(thm)],[c_11385]) ).
tcf(c_20644,plain,
! [X0_iProver_partiallytangible_1: iProver_partiallytangible_1,X1_iProver_partiallytangible_1: iProver_partiallytangible_1] :
( mtvisible(X1_iProver_partiallytangible_1)
| ~ mtvisible(X0_iProver_partiallytangible_1)
| ~ genlmt(X0_iProver_partiallytangible_1,X1_iProver_partiallytangible_1) ),
inference(subtyping,[status(esa)],[c_1079]) ).
tcf(c_21123,plain,
! [X0_iProver_partiallytangible_1: iProver_partiallytangible_1] :
( mtvisible(c_tptp_member235_mt)
| ~ mtvisible(X0_iProver_partiallytangible_1)
| ~ genlmt(X0_iProver_partiallytangible_1,c_tptp_member235_mt) ),
inference(instantiation,[status(thm)],[c_20644]) ).
tcf(c_21125,plain,
( mtvisible(c_tptp_member235_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt) ),
inference(instantiation,[status(thm)],[c_21123]) ).
tcf(c_21134,plain,
! [X0_iProver_partiallytangible_1: iProver_partiallytangible_1] :
( mtvisible(c_cyclistsmt)
| ~ mtvisible(X0_iProver_partiallytangible_1)
| ~ genlmt(X0_iProver_partiallytangible_1,c_cyclistsmt) ),
inference(instantiation,[status(thm)],[c_20644]) ).
tcf(c_21135,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ),
inference(instantiation,[status(thm)],[c_21134]) ).
tcf(c_21893,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3993_mt)
| ~ genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) ),
inference(instantiation,[status(thm)],[c_20644]) ).
tcf(c_21905,plain,
( mtvisible(c_tptp_member3993_mt)
| ~ mtvisible(c_tptp_spindlecollectormt)
| ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) ),
inference(instantiation,[status(thm)],[c_20644]) ).
tcf(c_21906,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_21905,c_21893,c_21135,c_21125,c_11386,c_301,c_361,c_410,c_465,c_1089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR065+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n001.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 08:55:40 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 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
% 0.17/0.51
% 0.17/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.51
% 0.17/0.51 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 10.79/2.51 % SZS status Started for theBenchmark.p
% 10.79/2.51 % SZS status Theorem for theBenchmark.p
% 10.79/2.51
% 10.79/2.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.79/2.51
% 10.79/2.51 % ------ iProver source info
% 10.79/2.51
% 10.79/2.51 % git: date: 2026-07-19 20:42:38 +0200
% 10.79/2.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.79/2.51 % git: non_committed_changes: false
% 10.79/2.51
% 10.79/2.51 % ------ Parsing...
% 10.79/2.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.79/2.51
% 10.79/2.51 % ------ Preprocessing... sf_s rm: 30 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe:128:0s pe_e %
% 10.79/2.51
% 10.79/2.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.79/2.51 % ------ Proving...
% 10.79/2.51 % ------ Problem Properties
% 10.79/2.51
% 10.79/2.51 %
% 10.79/2.51 % clauses 770
% 10.79/2.51 % conjectures 1
% 10.79/2.51 % EPR 722
% 10.79/2.51 % Horn 770
% 10.79/2.51 % unary 272
% 10.79/2.51 % binary 463
% 10.79/2.51 % lits 1303
% 10.79/2.51 % lits eq 0
% 10.79/2.51 % fd_pure 0
% 10.79/2.51 % fd_pseudo 0
% 10.79/2.51 % fd_cond 0
% 10.79/2.51 % fd_pseudo_cond 0
% 10.79/2.51 % AC symbols 0
% 10.79/2.51
% 10.79/2.51 % ------ Input Options Time Limit: Unbounded
% 10.79/2.51
% 10.79/2.51
% 10.79/2.51 % ------
% 10.79/2.51 % Current options:
% 10.79/2.51 % ------
% 10.79/2.51
% 10.79/2.51
% 10.79/2.51 %
% 10.79/2.51
% 10.79/2.51 % ------ Proving...
% 10.79/2.51 %
% 10.79/2.51
% 10.79/2.51 % SZS status Theorem for theBenchmark.p
% 10.79/2.51
% 10.79/2.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.79/2.51
% 10.79/2.51
%------------------------------------------------------------------------------