%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR038+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 : n017.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 4.10s 0.95s
% Output : Proof 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 20 unt; 0 def)
% Number of atoms : 74 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 31 ~; 21 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-4 aty)
% Number of variables : 48 ( 0 sgn 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,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',just1) ).
fof(f0_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)],[f0]) ).
fof(f0_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)],[f0_nnf]) ).
cnf(c0,plain,
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ relationexistsall(X2,X3,X1)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,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)],[c0]) ).
fof(f7,axiom,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f7_nnf,plain,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,axiom,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
fof(f6,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',just7) ).
fof(f6_nnf,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h16,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)],[hi0,hi7,hi6]) ).
fof(f40,axiom,
! [X] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
fof(f40_nnf,plain,
! [X] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi39,axiom,
ifeq(isa(X0,c_tptpcol_16_7738),true,tptpcol_16_7738(X0),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(h18,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)],[hi39,h16]) ).
fof(f5,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',just6) ).
fof(f5_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)],[f5]) ).
fof(f5_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)],[f5_nnf]) ).
cnf(c5,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)],[f5_sk]) ).
cnf(hi5,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)],[c5]) ).
cnf(h13,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)],[hi5,hi7]) ).
fof(f72,conjecture,
? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query38) ).
fof(f72_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) ) ),
inference(negated_conjecture,[status(cth)],[f72]) ).
fof(f72_nnf,plain,
! [X] :
( ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(nnf_transformation,[status(thm)],[f72_neg]) ).
fof(f72_sk,plain,
! [X] :
( ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(skolemisation,[status(esa)],[f72_nnf]) ).
cnf(c73,plain,
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) ),
inference(cnf_transformation,[status(esa)],[f72_sk]) ).
cnf(hi73,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)],[c73]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi73,h13,h18]) ).
cnf(t282,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f9,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f9_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c9,c73]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t282]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR038+1 : 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 : n017.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 08:17:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.10/0.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.10/0.95 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------