%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR027+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:13:55 PM UTC 2026
% Result : Theorem 1.29s 1.76s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 26 ~; 21 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 31 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query27,conjecture,
? [X13] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13)
& tptpcol_16_31868(X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).
fof(just63,axiom,
! [X19,X20] :
( ( mtvisible(X19)
& genlmt(X19,X20) )
=> mtvisible(X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
fof(just34,axiom,
! [X13] :
( isa(X13,c_tptpcol_16_31868)
=> tptpcol_16_31868(X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(just12,axiom,
! [X1] :
( ( mtvisible(c_tptp_member2610_mt)
& isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
=> tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(just9,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(just13,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/sandbox/benchmark/theBenchmark.p',just13) ).
fof(just1,axiom,
! [X1,X2,X3,X4] :
( ( isa(X1,X2)
& relationallexists(X3,X2,X4) )
=> isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(just14,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
fof(c_0_8,negated_conjecture,
~ ? [X13] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13)
& tptpcol_16_31868(X13) ) ),
inference(assume_negation,[status(cth)],[query27]) ).
fof(c_0_9,plain,
! [X270,X271] :
( ~ mtvisible(X270)
| ~ genlmt(X270,X271)
| mtvisible(X271) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just63])]) ).
fof(c_0_10,negated_conjecture,
! [X313] :
( mtvisible(c_tptp_spindlecollectormt)
& ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X313)
| ~ tptpcol_16_31868(X313) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_11,plain,
! [X214] :
( ~ isa(X214,c_tptpcol_16_31868)
| tptpcol_16_31868(X214) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])]) ).
fof(c_0_12,plain,
! [X172] :
( ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X172,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(X172,f_relationallexistsfn(X172,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just12])]) ).
cnf(c_0_13,plain,
( mtvisible(X2)
| ~ mtvisible(X1)
| ~ genlmt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(split_conjunct,[status(thm)],[just9]) ).
cnf(c_0_15,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,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(fof_nnf,[status(thm)],[just13]) ).
cnf(c_0_17,negated_conjecture,
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
| ~ tptpcol_16_31868(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( tptpcol_16_31868(X1)
| ~ isa(X1,c_tptpcol_16_31868) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ mtvisible(c_tptp_member2610_mt)
| ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
mtvisible(c_tptp_member2610_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
fof(c_0_21,plain,
! [X168,X169,X170,X171] :
( ~ isa(X168,X169)
| ~ relationallexists(X170,X169,X171)
| isa(f_relationallexistsfn(X168,X170,X169,X171),X171) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just1])]) ).
cnf(c_0_22,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(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
| ~ isa(X1,c_tptpcol_16_31868) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_25,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(split_conjunct,[status(thm)],[just14]) ).
cnf(c_0_26,plain,
( isa(f_relationallexistsfn(X1,X3,X2,X4),X4)
| ~ isa(X1,X2)
| ~ relationallexists(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_20])]) ).
cnf(c_0_28,negated_conjecture,
~ isa(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),c_tptpcol_16_31868),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_29,plain,
( isa(f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
| ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : CSR027+1 : TPTP v9.2.1. Released v3.4.0.
% 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 4 16:26:02 EDT 2026
% 0.16/0.37 % CPUTime :
% 0.16/0.38 % start to proof: theBenchmark
% 1.29/1.76 % Version : CSE_E---1.7
% 1.29/1.76 % Problem : theBenchmark.p
% 1.29/1.76 % SZS status Theorem for theBenchmark.p
% 1.29/1.76 % SZS output start CNFRefutation
% See solution above
% 1.29/1.76 % Total time : 1.369s
%------------------------------------------------------------------------------