%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 01:05:42 PM UTC 2026
% Result : Theorem 92.03s 12.17s
% Output : Proof 92.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 33 unt; 0 def)
% Number of atoms : 117 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 123 ( 75 ~; 33 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 59 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1122,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1122_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f1122]) ).
fof(f1122_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f1122_nnf]) ).
cnf(c1122,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f1122_sk]) ).
cnf(hi1113,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c1122]) ).
fof(f1131,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query118) ).
fof(f1131_neg,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f1131]) ).
fof(f1131_nnf,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(nnf_transformation,[status(thm)],[f1131_neg]) ).
fof(f1131_sk,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(skolemisation,[status(esa)],[f1131_nnf]) ).
cnf(c1131,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[status(esa)],[f1131_sk]) ).
cnf(hi1122,negated_conjecture,
mtvisible(c_tptp_member2356_mt) = true,
inference(equality_encoding,[status(esa)],[c1131]) ).
fof(f445,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_446) ).
fof(f445_nnf,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(nnf_transformation,[status(thm)],[f445]) ).
cnf(c445,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(esa)],[f445_nnf]) ).
cnf(hi440,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) = true,
inference(equality_encoding,[status(esa)],[c445]) ).
cnf(h738,plain,
mtvisible(c_tptp_spindleheadmt) = true,
inference(hyper_resolution,[status(thm)],[hi1113,hi1122,hi440]) ).
fof(f79,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_80) ).
fof(f79_nnf,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(nnf_transformation,[status(thm)],[f79]) ).
fof(f79_sk,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(skolemisation,[status(esa)],[f79_nnf]) ).
cnf(c79,plain,
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(hi78,axiom,
ifeq(mtvisible(c_tptp_spindleheadmt),true,ifeq(furpelt(X0),true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true),true) = true,
inference(equality_encoding,[status(esa)],[c79]) ).
fof(f259,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_260) ).
fof(f259_nnf,plain,
furpelt(c_theprototypicalfurpelt),
inference(nnf_transformation,[status(thm)],[f259]) ).
cnf(c259,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[status(esa)],[f259_nnf]) ).
cnf(hi256,axiom,
furpelt(c_theprototypicalfurpelt) = true,
inference(equality_encoding,[status(esa)],[c259]) ).
cnf(h2225,plain,
tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) = true,
inference(hyper_resolution,[status(thm)],[hi78,h738,hi256]) ).
cnf(c1132,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[status(esa)],[f1131_sk]) ).
cnf(hi1132,negated_conjecture,
ifeq(tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c1132]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi1132,h2225]) ).
cnf(t805,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f2,axiom,
! [OBJ] :
~ ( partiallytangible(OBJ)
& intangible(OBJ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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,t805]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR068+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.45 % Computer : n017.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Fri Sep 25 08:48:02 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 92.03/12.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.03/12.17 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------