%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 01:05:14 PM UTC 2026
% Result : Theorem 8.74s 1.79s
% Output : Proof 8.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 26 unt; 0 def)
% Number of atoms : 104 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 92 ( 43 ~; 33 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-4 aty)
% Number of variables : 58 ( 0 sgn 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
fof(f62_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c62,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(hi61,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c62]) ).
fof(f79,conjecture,
? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).
fof(f79_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,X) ) ),
inference(negated_conjecture,[status(cth)],[f79]) ).
fof(f79_nnf,plain,
! [X] :
( ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,X) )
& mtvisible(c_tptp_spindlecollectormt) ),
inference(nnf_transformation,[status(thm)],[f79_neg]) ).
fof(f79_sk,plain,
! [X] :
( ( ~ tptpcol_16_31868(X)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,X) )
& mtvisible(c_tptp_spindlecollectormt) ),
inference(skolemisation,[status(esa)],[f79_nnf]) ).
cnf(c79,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(hi78,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
inference(equality_encoding,[status(esa)],[c79]) ).
fof(f8,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f8_nnf,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h21,plain,
mtvisible(c_tptp_member2610_mt) = true,
inference(hyper_resolution,[status(thm)],[hi61,hi78,hi8]) ).
fof(f12,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/theBenchmark.p',just13) ).
fof(f12_nnf,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(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,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(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,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,[status(esa)],[f12_sk]) ).
cnf(hi12,axiom,
ifeq(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h24,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) = true,
inference(hyper_resolution,[status(thm)],[hi12,h21]) ).
fof(f0,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationallexists(PRED,INDEPCOL,DEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f0_nnf,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL)
| ~ relationallexists(PRED,INDEPCOL,DEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(isa(X0,X1),true,ifeq(relationallexists(X2,X1,X3),true,isa(f_relationallexistsfn(X0,X2,X1,X3),X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f13,axiom,
isa(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f13_nnf,plain,
isa(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
isa(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(hi13,axiom,
isa(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h55,plain,
isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi13,h24]) ).
fof(f33,axiom,
! [X] :
( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
fof(f33_nnf,plain,
! [X] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X] :
( tptpcol_16_31868(X)
| ~ isa(X,c_tptpcol_16_31868) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( tptpcol_16_31868(X0)
| ~ isa(X0,c_tptpcol_16_31868) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(hi32,axiom,
ifeq(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(h57,plain,
tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) = true,
inference(hyper_resolution,[status(thm)],[hi32,h55]) ).
fof(f11,axiom,
! [TERM] :
( ( isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
& mtvisible(c_tptp_member2610_mt) )
=> tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f11_nnf,plain,
! [TERM] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [TERM] :
( tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( 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))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi11,axiom,
ifeq(mtvisible(c_tptp_member2610_mt),true,ifeq(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,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)),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h52,plain,
tptp_8_875(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) = true,
inference(hyper_resolution,[status(thm)],[hi11,h21,hi13]) ).
cnf(c80,plain,
( ~ tptpcol_16_31868(X0)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,X0) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(hi80,negated_conjecture,
ifeq(tptp_8_875(c_tptpnsubcollectionofwithrelationfromty_h7c16f87422484ec2,X0),true,ifeq(tptpcol_16_31868(X0),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c80]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi80,h52,h57]) ).
cnf(t598,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f15,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
fof(f15_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c15,c80]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t598]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.35 % Computer : n019.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 08:10:48 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.74/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.74/1.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------