%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 01:05:22 PM UTC 2026
% Result : Theorem 48.70s 6.76s
% Output : Proof 48.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 73 ( 32 unt; 0 def)
% Number of atoms : 126 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 131 ( 78 ~; 36 |; 12 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-4 aty)
% Number of variables : 80 ( 0 sgn 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_64) ).
fof(f63_nnf,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(nnf_transformation,[status(thm)],[f63]) ).
fof(f63_sk,plain,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
| ~ isa(TERM,INDEPCOL) ),
inference(skolemisation,[status(esa)],[f63_nnf]) ).
cnf(c63,plain,
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ relationexistsall(X2,X3,X1)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f63_sk]) ).
cnf(hi62,axiom,
ifeq(isa(X0,X1),true,ifeq(relationexistsall(X2,X3,X1),true,isa(f_relationexistsallfn(X0,X2,X3,X1),X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c63]) ).
fof(f133,axiom,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_134) ).
fof(f133_nnf,plain,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(nnf_transformation,[status(thm)],[f133]) ).
cnf(c133,plain,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(esa)],[f133_nnf]) ).
cnf(hi132,axiom,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
inference(equality_encoding,[status(esa)],[c133]) ).
fof(f244,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_245) ).
fof(f244_nnf,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(nnf_transformation,[status(thm)],[f244]) ).
cnf(c244,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(esa)],[f244_nnf]) ).
cnf(hi241,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
inference(equality_encoding,[status(esa)],[c244]) ).
cnf(h373,plain,
isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) = true,
inference(hyper_resolution,[status(thm)],[hi62,hi132,hi241]) ).
fof(f672,axiom,
! [X] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_673) ).
fof(f672_nnf,plain,
! [X] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(nnf_transformation,[status(thm)],[f672]) ).
fof(f672_sk,plain,
! [X] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(skolemisation,[status(esa)],[f672_nnf]) ).
cnf(c672,plain,
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(cnf_transformation,[status(esa)],[f672_sk]) ).
cnf(hi665,axiom,
ifeq(isa(X0,c_tptpcol_16_7738),true,tptpcol_16_7738(X0),true) = true,
inference(equality_encoding,[status(esa)],[c672]) ).
cnf(h1483,plain,
tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))) = true,
inference(hyper_resolution,[status(thm)],[hi665,h373]) ).
fof(f243,axiom,
! [TERM] :
( isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
=> tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_244) ).
fof(f243_nnf,plain,
! [TERM] :
( tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM)
| ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(nnf_transformation,[status(thm)],[f243]) ).
fof(f243_sk,plain,
! [TERM] :
( tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM)
| ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(skolemisation,[status(esa)],[f243_nnf]) ).
cnf(c243,plain,
( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
| ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(cnf_transformation,[status(esa)],[f243_sk]) ).
cnf(hi240,axiom,
ifeq(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0),true) = true,
inference(equality_encoding,[status(esa)],[c243]) ).
cnf(h196,plain,
tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) = true,
inference(hyper_resolution,[status(thm)],[hi240,hi132]) ).
fof(f1131,conjecture,
? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query88) ).
fof(f1131_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) ) ),
inference(negated_conjecture,[status(cth)],[f1131]) ).
fof(f1131_nnf,plain,
! [X] :
( ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(nnf_transformation,[status(thm)],[f1131_neg]) ).
fof(f1131_sk,plain,
! [X] :
( ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(skolemisation,[status(esa)],[f1131_nnf]) ).
cnf(c1132,plain,
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) ),
inference(cnf_transformation,[status(esa)],[f1131_sk]) ).
cnf(hi1132,negated_conjecture,
ifeq(tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1),true,ifeq(tptpcol_16_7738(X0),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c1132]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi1132,h196,h1483]) ).
cnf(t688,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f2,axiom,
! [OBJ] :
~ ( partiallytangible(OBJ)
& intangible(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_3) ).
fof(f2_nnf,plain,
! [OBJ] :
( ~ partiallytangible(OBJ)
| ~ intangible(OBJ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [OBJ] :
( ~ partiallytangible(OBJ)
| ~ intangible(OBJ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ partiallytangible(X0)
| ~ intangible(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f152,axiom,
! [OBJ] :
~ ( tptpcol_1_65536(OBJ)
& tptpcol_1_1(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_153) ).
fof(f152_nnf,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(nnf_transformation,[status(thm)],[f152]) ).
fof(f152_sk,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(skolemisation,[status(esa)],[f152_nnf]) ).
cnf(c152,plain,
( ~ tptpcol_1_65536(X0)
| ~ tptpcol_1_1(X0) ),
inference(cnf_transformation,[status(esa)],[f152_sk]) ).
fof(f166,axiom,
! [OBJ] :
~ ( setorcollection(OBJ)
& individual(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_167) ).
fof(f166_nnf,plain,
! [OBJ] :
( ~ setorcollection(OBJ)
| ~ individual(OBJ) ),
inference(nnf_transformation,[status(thm)],[f166]) ).
fof(f166_sk,plain,
! [OBJ] :
( ~ setorcollection(OBJ)
| ~ individual(OBJ) ),
inference(skolemisation,[status(esa)],[f166_nnf]) ).
cnf(c166,plain,
( ~ setorcollection(X0)
| ~ individual(X0) ),
inference(cnf_transformation,[status(esa)],[f166_sk]) ).
fof(f288,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_289) ).
fof(f288_nnf,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(nnf_transformation,[status(thm)],[f288]) ).
fof(f288_sk,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(skolemisation,[status(esa)],[f288_nnf]) ).
cnf(c288,plain,
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[status(esa)],[f288_sk]) ).
fof(f362,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_363) ).
fof(f362_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f362]) ).
fof(f362_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f362_nnf]) ).
cnf(c362,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f362_sk]) ).
fof(f487,axiom,
! [OBJ] :
~ ( tptpcol_3_114688(OBJ)
& tptpcol_3_98305(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_488) ).
fof(f487_nnf,plain,
! [OBJ] :
( ~ tptpcol_3_114688(OBJ)
| ~ tptpcol_3_98305(OBJ) ),
inference(nnf_transformation,[status(thm)],[f487]) ).
fof(f487_sk,plain,
! [OBJ] :
( ~ tptpcol_3_114688(OBJ)
| ~ tptpcol_3_98305(OBJ) ),
inference(skolemisation,[status(esa)],[f487_nnf]) ).
cnf(c487,plain,
( ~ tptpcol_3_114688(X0)
| ~ tptpcol_3_98305(X0) ),
inference(cnf_transformation,[status(esa)],[f487_sk]) ).
fof(f520,axiom,
! [X] : ~ affiliatedwith(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_521) ).
fof(f520_nnf,plain,
! [X] : ~ affiliatedwith(X,X),
inference(nnf_transformation,[status(thm)],[f520]) ).
fof(f520_sk,plain,
! [X] : ~ affiliatedwith(X,X),
inference(skolemisation,[status(esa)],[f520_nnf]) ).
cnf(c520,plain,
~ affiliatedwith(X0,X0),
inference(cnf_transformation,[status(esa)],[f520_sk]) ).
fof(f697,axiom,
! [X] : ~ objectfoundinlocation(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_698) ).
fof(f697_nnf,plain,
! [X] : ~ objectfoundinlocation(X,X),
inference(nnf_transformation,[status(thm)],[f697]) ).
fof(f697_sk,plain,
! [X] : ~ objectfoundinlocation(X,X),
inference(skolemisation,[status(esa)],[f697_nnf]) ).
cnf(c697,plain,
~ objectfoundinlocation(X0,X0),
inference(cnf_transformation,[status(esa)],[f697_sk]) ).
fof(f900,axiom,
! [X] : ~ borderson(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_901) ).
fof(f900_nnf,plain,
! [X] : ~ borderson(X,X),
inference(nnf_transformation,[status(thm)],[f900]) ).
fof(f900_sk,plain,
! [X] : ~ borderson(X,X),
inference(skolemisation,[status(esa)],[f900_nnf]) ).
cnf(c900,plain,
~ borderson(X0,X0),
inference(cnf_transformation,[status(esa)],[f900_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c152,c166,c288,c362,c487,c520,c697,c900,c1132]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t688]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 08:22:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 48.70/6.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.70/6.76 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------