%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 01:10:27 PM UTC 2026
% Result : Theorem 1.76s 1.27s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 14 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 39 ~; 31 |; 2 &)
% ( 0 <=>; 8 =>; 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 : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( tptptypes_6_818(X0,X1)
=> tptptypes_5_802(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f10,axiom,
! [X0,X1] :
( tptptypes_7_819(X0,X1)
=> tptptypes_6_818(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f12,axiom,
! [X0,X1] :
( tptptypes_8_823(X0,X1)
=> tptptypes_7_819(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f14,axiom,
! [X0,X1] :
( tptptypes_9_824(X0,X1)
=> tptptypes_8_823(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f16,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
fof(f19,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).
fof(f57,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).
fof(f80,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query70) ).
fof(f81,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f110,plain,
! [X0,X1] :
( ~ tptptypes_6_818(X0,X1)
| tptptypes_5_802(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f111,plain,
! [X0,X1] :
( ~ tptptypes_7_819(X0,X1)
| tptptypes_6_818(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f113,plain,
! [X0,X1] :
( ~ tptptypes_9_824(X0,X1)
| tptptypes_8_823(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f114,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(ennf_transformation,[],[f19]) ).
fof(f131,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f132,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(flattening,[],[f131]) ).
fof(f151,plain,
( mtvisible(c_tptp_spindlecollectormt)
& ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(ennf_transformation,[],[f81]) ).
fof(f159,plain,
! [X0,X1] :
( ~ tptptypes_6_818(X0,X1)
| tptptypes_5_802(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f161,plain,
! [X0,X1] :
( ~ tptptypes_7_819(X0,X1)
| tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f163,plain,
! [X0,X1] :
( ~ tptptypes_8_823(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f165,plain,
! [X0,X1] :
( ~ tptptypes_9_824(X0,X1)
| tptptypes_8_823(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f167,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[],[f16]) ).
fof(f170,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(cnf_transformation,[],[f114]) ).
fof(f185,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f203,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f151]) ).
fof(f204,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[],[f151]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_64,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[],[f167]) ).
tcf(c_67,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_100,negated_conjecture,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[],[f204]) ).
tcf(c_101,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f203]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( ~ tptptypes_7_819(X0,X1)
| tptptypes_6_818(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(renaming,[status(thm)],[c_144]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( ~ tptptypes_8_823(X0,X1)
| tptptypes_7_819(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(renaming,[status(thm)],[c_148]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( ~ tptptypes_9_824(X0,X1)
| tptptypes_8_823(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(renaming,[status(thm)],[c_152]) ).
tcf(c_440,plain,
~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[status(thm)],[c_142,c_100]) ).
tcf(c_445,plain,
~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[status(thm)],[c_145,c_440]) ).
tcf(c_450,plain,
~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[status(thm)],[c_149,c_445]) ).
tcf(c_455,plain,
~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(resolution,[status(thm)],[c_153,c_450]) ).
tcf(c_546,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_551,plain,
! [X0: $i] :
( mtvisible(X0)
| ~ genlmt(c_tptp_spindlecollectormt,X0) ),
inference(resolution,[status(thm)],[c_82,c_546]) ).
tcf(c_553,plain,
mtvisible(c_tptp_member2668_mt),
inference(resolution,[status(thm)],[c_551,c_64]) ).
tcf(c_554,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_553,c_455,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 08:54:03 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 1.76/1.27 % SZS status Started for theBenchmark.p
% 1.76/1.27 % SZS status Theorem for theBenchmark.p
% 1.76/1.27
% 1.76/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.76/1.27
% 1.76/1.27 % ------ iProver source info
% 1.76/1.27
% 1.76/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.76/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.76/1.27 % git: non_committed_changes: false
% 1.76/1.27
% 1.76/1.27 % ------ Parsing...
% 1.76/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.76/1.27
% 1.76/1.27 % ------ Preprocessing... sf_s rm: 25 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.76/1.27
% 1.76/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.76/1.27 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.76/1.27 % ------ Proving...
% 1.76/1.27 % ------ Problem Properties
% 1.76/1.27
% 1.76/1.27 %
% 1.76/1.27 % clauses 17
% 1.76/1.27 % conjectures 1
% 1.76/1.27 % EPR 17
% 1.76/1.27 % Horn 17
% 1.76/1.27 % unary 12
% 1.76/1.27 % binary 3
% 1.76/1.27 % lits 24
% 1.76/1.27 % lits eq 0
% 1.76/1.27 % fd_pure 0
% 1.76/1.27 % fd_pseudo 0
% 1.76/1.27 % fd_cond 0
% 1.76/1.27 % fd_pseudo_cond 0
% 1.76/1.27 % AC symbols 0
% 1.76/1.27
% 1.76/1.27 % ------ Schedule EPR Horn non eq is on
% 1.76/1.27
% 1.76/1.27 % ------ no equalities: superposition off
% 1.76/1.27
% 1.76/1.27 % ------ Option_epr_horn Time Limit: Unbounded
% 1.76/1.27
% 1.76/1.27
% 1.76/1.27 % ------
% 1.76/1.27 % Current options:
% 1.76/1.27 % ------
% 1.76/1.27
% 1.76/1.27
% 1.76/1.27 %
% 1.76/1.27
% 1.76/1.27 % ------ Proving...
% 1.76/1.27 %
% 1.76/1.27
% 1.76/1.27 % SZS status Theorem for theBenchmark.p
% 1.76/1.27
% 1.76/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.76/1.28
% 1.76/1.28
%------------------------------------------------------------------------------