%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR027+2 : 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 : n019.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 01:09:56 PM UTC 2026
% Result : Theorem 6.57s 1.66s
% Output : CNFRefutation 6.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 103 ( 49 ~; 41 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 49 ( 0 sgn 47 !; 2 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_20) ).
fof(f158,axiom,
! [X0] :
( ( isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
& mtvisible(c_tptp_member2610_mt) )
=> tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_158) ).
fof(f159,axiom,
( mtvisible(c_tptp_member2610_mt)
=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_159) ).
fof(f297,axiom,
! [X0,X1,X2,X3] :
( ( relationallexists(X2,X1,X3)
& isa(X0,X1) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_297) ).
fof(f316,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_316) ).
fof(f791,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_31868)
=> tptpcol_16_31868(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_791) ).
fof(f1123,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X0)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query77) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X0)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1300,plain,
! [X0] :
( ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt)
| tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(ennf_transformation,[],[f158]) ).
fof(f1301,plain,
! [X0] :
( ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt)
| tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(flattening,[],[f1300]) ).
fof(f1302,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(ennf_transformation,[],[f159]) ).
fof(f1367,plain,
! [X0,X1,X2,X3] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(ennf_transformation,[],[f297]) ).
fof(f1368,plain,
! [X0,X1,X2,X3] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(flattening,[],[f1367]) ).
fof(f1713,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_31868)
| tptpcol_16_31868(X0) ),
inference(ennf_transformation,[],[f791]) ).
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,
! [X0] :
( mtvisible(c_tptp_spindlecollectormt)
& ( ~ tptpcol_16_31868(X0)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2042,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnf_transformation,[],[f20]) ).
fof(f2179,plain,
! [X0] :
( ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt)
| tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(cnf_transformation,[],[f1301]) ).
fof(f2180,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(cnf_transformation,[],[f1302]) ).
fof(f2318,plain,
! [X2,X3,X0,X1] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(cnf_transformation,[],[f1368]) ).
fof(f2336,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnf_transformation,[],[f316]) ).
fof(f2763,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_31868)
| tptpcol_16_31868(X0) ),
inference(cnf_transformation,[],[f1713]) ).
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,
! [X0] :
( ~ tptpcol_16_31868(X0)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ),
inference(cnf_transformation,[],[f2022]) ).
tcf(c_68,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnf_transformation,[],[f2042]) ).
tcf(c_205,plain,
! [X0: $i] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(cnf_transformation,[],[f2179]) ).
tcf(c_206,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnf_transformation,[],[f2180]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( isa(f_relationallexistsfn(X3,X0,X1,X2),X2)
| ~ isa(X3,X1)
| ~ relationallexists(X0,X1,X2) ),
inference(cnf_transformation,[],[f2318]) ).
tcf(c_362,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnf_transformation,[],[f2336]) ).
tcf(c_789,plain,
! [X0: $i] :
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(cnf_transformation,[],[f2763]) ).
tcf(c_1079,plain,
! [X0: $i,X1: $i] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f3053]) ).
tcf(c_1088,negated_conjecture,
! [X0: $i] :
( ~ tptpcol_16_31868(X0)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0) ),
inference(cnf_transformation,[],[f3063]) ).
tcf(c_1089,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f3062]) ).
tcf(c_1493,plain,
( mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(superposition,[status(thm)],[c_68,c_1079]) ).
tcf(c_1504,plain,
! [X0: $i] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(global_subsumption_just,[status(thm)],[c_205,c_1089,c_205,c_1493]) ).
tcf(c_1513,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(superposition,[status(thm)],[c_1504,c_1088]) ).
tcf(c_1600,plain,
! [X0: $i,X1: $i,X2: $i] :
( tptpcol_16_31868(f_relationallexistsfn(X2,X0,X1,c_tptpcol_16_31868))
| ~ isa(X2,X1)
| ~ relationallexists(X0,X1,c_tptpcol_16_31868) ),
inference(superposition,[status(thm)],[c_344,c_789]) ).
tcf(c_1602,plain,
! [X0: $i] :
( tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(global_subsumption_just,[status(thm)],[c_205,c_1089,c_205,c_1493]) ).
tcf(c_1610,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(superposition,[status(thm)],[c_1602,c_1088]) ).
tcf(c_1635,plain,
~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(global_subsumption_just,[status(thm)],[c_1610,c_362,c_1513]) ).
tcf(c_1637,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(superposition,[status(thm)],[c_1600,c_1635]) ).
tcf(c_1638,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1637,c_1493,c_206,c_362,c_1089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 08:10:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 6.57/1.66 % SZS status Started for theBenchmark.p
% 6.57/1.66 % SZS status Theorem for theBenchmark.p
% 6.57/1.66
% 6.57/1.66 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.57/1.66
% 6.57/1.66 % ------ iProver source info
% 6.57/1.66
% 6.57/1.66 % git: date: 2026-07-19 20:42:38 +0200
% 6.57/1.66 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.57/1.66 % git: non_committed_changes: false
% 6.57/1.66
% 6.57/1.66 % ------ Parsing...
% 6.57/1.66 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.57/1.66 % ------ Proving...
% 6.57/1.66 % ------ Problem Properties
% 6.57/1.66
% 6.57/1.66 %
% 6.57/1.66 % clauses 1041
% 6.57/1.66 % conjectures 2
% 6.57/1.66 % EPR 980
% 6.57/1.66 % Horn 1041
% 6.57/1.66 % unary 287
% 6.57/1.66 % binary 710
% 6.57/1.66 % lits 1839
% 6.57/1.66 % lits eq 0
% 6.57/1.66 % fd_pure 0
% 6.57/1.66 % fd_pseudo 0
% 6.57/1.66 % fd_cond 0
% 6.57/1.66 % fd_pseudo_cond 0
% 6.57/1.66 % AC symbols 0
% 6.57/1.66
% 6.57/1.66 % ------ Input Options Time Limit: Unbounded
% 6.57/1.66
% 6.57/1.66
% 6.57/1.66 % ------
% 6.57/1.66 % Current options:
% 6.57/1.66 % ------
% 6.57/1.66
% 6.57/1.66
% 6.57/1.66 %
% 6.57/1.66
% 6.57/1.66 % ------ Proving...
% 6.57/1.66 %
% 6.57/1.66
% 6.57/1.66 % ------ Proving...
% 6.57/1.66 %
% 6.57/1.66
% 6.57/1.66 % ------ Proving...
% 6.57/1.66 %
% 6.57/1.66
% 6.57/1.66 % ------ Proving...
% 6.57/1.66 %
% 6.57/1.66
% 6.57/1.66 % ------ Proving...
% 6.57/1.66 %
% 6.57/1.66
% 6.57/1.66 % ------ Proving...
% 6.57/1.66 %
% 6.57/1.66
% 6.57/1.66 % ------ Proving...
% 6.57/1.66 %
% 6.57/1.66
% 6.57/1.66 % SZS status Theorem for theBenchmark.p
% 6.57/1.66
% 6.57/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.57/1.66
% 6.57/1.66
%------------------------------------------------------------------------------