%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR026+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 : n008.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 53.80s 7.34s
% Output : Proof 53.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 97 ( 53 unt; 0 def)
% Number of atoms : 157 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 144 ( 84 ~; 42 |; 12 &)
% ( 0 <=>; 6 =>; 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 : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 80 ( 2 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1131,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query76) ).
fof(f1131_neg,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negated_conjecture,[status(cth)],[f1131]) ).
fof(f1131_nnf,plain,
( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(nnf_transformation,[status(thm)],[f1131_neg]) ).
fof(f1131_sk,plain,
( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(skolemisation,[status(esa)],[f1131_nnf]) ).
cnf(c1132,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[status(esa)],[f1131_sk]) ).
cnf(t154,plain,
ifeq(tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c1132]) ).
cnf(t288,plain,
ifeq(tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),true,false,true) = true,
inference(orient,[status(thm)],[t154]) ).
fof(f1127,axiom,
! [X,Y,Z] :
( ( genlmt(Y,Z)
& genlmt(X,Y) )
=> genlmt(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1128) ).
fof(f1127_nnf,plain,
! [X,Y,Z] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(nnf_transformation,[status(thm)],[f1127]) ).
fof(f1127_sk,plain,
! [X,Y,Z] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(skolemisation,[status(esa)],[f1127_nnf]) ).
cnf(c1127,plain,
( genlmt(X0,X2)
| ~ genlmt(X1,X2)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1127_sk]) ).
cnf(hi1118,axiom,
ifeq(genlmt(X0,X1),true,ifeq(genlmt(X1,X2),true,genlmt(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c1127]) ).
fof(f314,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_315) ).
fof(f314_nnf,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(nnf_transformation,[status(thm)],[f314]) ).
cnf(c314,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(esa)],[f314_nnf]) ).
cnf(hi310,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = true,
inference(equality_encoding,[status(esa)],[c314]) ).
fof(f253,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_254) ).
fof(f253_nnf,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(nnf_transformation,[status(thm)],[f253]) ).
cnf(c253,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(esa)],[f253_nnf]) ).
cnf(hi250,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
inference(equality_encoding,[status(esa)],[c253]) ).
cnf(h490,plain,
genlmt(c_tptp_member3993_mt,c_cyclistsmt) = true,
inference(hyper_resolution,[status(thm)],[hi1118,hi310,hi250]) ).
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]) ).
cnf(c1131,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(esa)],[f1131_sk]) ).
cnf(hi1122,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
inference(equality_encoding,[status(esa)],[c1131]) ).
fof(f363,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_364) ).
fof(f363_nnf,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(nnf_transformation,[status(thm)],[f363]) ).
cnf(c363,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[status(esa)],[f363_nnf]) ).
cnf(hi358,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = true,
inference(equality_encoding,[status(esa)],[c363]) ).
cnf(h587,plain,
mtvisible(c_tptp_member3993_mt) = true,
inference(hyper_resolution,[status(thm)],[hi1113,hi1122,hi358]) ).
cnf(h1908,plain,
mtvisible(c_cyclistsmt) = true,
inference(hyper_resolution,[status(thm)],[hi1113,h587,h490]) ).
fof(f162,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_163) ).
fof(f162_nnf,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(nnf_transformation,[status(thm)],[f162]) ).
fof(f162_sk,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(skolemisation,[status(esa)],[f162_nnf]) ).
cnf(c162,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(esa)],[f162_sk]) ).
cnf(hi160,axiom,
ifeq(mtvisible(c_cyclistsmt),true,runningshorts(c_tptprunningshorts),true) = true,
inference(equality_encoding,[status(esa)],[c162]) ).
cnf(h4004,plain,
runningshorts(c_tptprunningshorts) = true,
inference(hyper_resolution,[status(thm)],[hi160,h1908]) ).
fof(f343,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_344) ).
fof(f343_nnf,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(nnf_transformation,[status(thm)],[f343]) ).
cnf(c343,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[status(esa)],[f343_nnf]) ).
cnf(hi339,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt) = true,
inference(equality_encoding,[status(esa)],[c343]) ).
cnf(h549,plain,
mtvisible(c_tptp_member2701_mt) = true,
inference(hyper_resolution,[status(thm)],[hi1113,hi1122,hi339]) ).
fof(f439,axiom,
! [INS] :
( ( runningshorts(INS)
& mtvisible(c_tptp_member2701_mt) )
=> tptpofobject(INS,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_440) ).
fof(f439_nnf,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_2(n_756))
| ~ runningshorts(INS)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(nnf_transformation,[status(thm)],[f439]) ).
fof(f439_sk,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_2(n_756))
| ~ runningshorts(INS)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(skolemisation,[status(esa)],[f439_nnf]) ).
cnf(c439,plain,
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(cnf_transformation,[status(esa)],[f439_sk]) ).
cnf(hi434,axiom,
ifeq(mtvisible(c_tptp_member2701_mt),true,ifeq(runningshorts(X0),true,tptpofobject(X0,f_tptpquantityfn_2(n_756)),true),true) = true,
inference(equality_encoding,[status(esa)],[c439]) ).
cnf(t78,plain,
tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) = true,
inference(hyper_resolution,[status(thm)],[hi434,h549,h4004]) ).
cnf(t845,plain,
tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) = true,
inference(orient,[status(thm)],[t78]) ).
cnf(t954,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t288,t845]) ).
cnf(t81,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t208,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t81]) ).
cnf(t955,plain,
false = true,
inference(step,[status(thm)],[t954,t208]) ).
cnf(t849,plain,
false = true,
inference(rw,[status(thm)],[t955]) ).
cnf(t947,plain,
false = true,
inference(orient,[status(thm)],[t849]) ).
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,t947]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 08:09:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 53.80/7.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.80/7.34 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------