%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR065+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 01:05:39 PM UTC 2026
% Result : Theorem 11.23s 2.05s
% Output : Proof 11.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 35 unt; 0 def)
% Number of atoms : 99 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 37 ~; 27 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 42 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,axiom,
! [X,Y,Z] :
( ( genlmt(Y,Z)
& genlmt(X,Y) )
=> genlmt(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
fof(f52_nnf,plain,
! [X,Y,Z] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [X,Y,Z] :
( genlmt(X,Z)
| ~ genlmt(Y,Z)
| ~ genlmt(X,Y) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c52,plain,
( genlmt(X0,X2)
| ~ genlmt(X1,X2)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(hi51,axiom,
ifeq(genlmt(X0,X1),true,ifeq(genlmt(X1,X2),true,genlmt(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c52]) ).
fof(f6,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f6_nnf,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
fof(f4,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
fof(f4_nnf,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(hi4,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h11,plain,
genlmt(c_tptp_member3993_mt,c_cyclistsmt) = true,
inference(hyper_resolution,[status(thm)],[hi51,hi6,hi4]) ).
fof(f47,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
fof(f47_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(hi46,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c47]) ).
fof(f56,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query65) ).
fof(f56_neg,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f56_nnf,plain,
( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(nnf_transformation,[status(thm)],[f56_neg]) ).
fof(f56_sk,plain,
( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c56,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(hi55,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
inference(equality_encoding,[status(esa)],[c56]) ).
fof(f7,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f7_nnf,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h14,plain,
mtvisible(c_tptp_member3993_mt) = true,
inference(hyper_resolution,[status(thm)],[hi46,hi55,hi7]) ).
cnf(h34,plain,
mtvisible(c_cyclistsmt) = true,
inference(hyper_resolution,[status(thm)],[hi46,h14,h11]) ).
fof(f8,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f8_nnf,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi8,axiom,
ifeq(mtvisible(c_cyclistsmt),true,ridgeline_topographical(c_tptpridgeline_topographical),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h39,plain,
ridgeline_topographical(c_tptpridgeline_topographical) = true,
inference(hyper_resolution,[status(thm)],[hi8,h34]) ).
fof(f5,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
fof(f5_nnf,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(hi5,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(h15,plain,
mtvisible(c_tptp_member235_mt) = true,
inference(hyper_resolution,[status(thm)],[hi46,hi55,hi5]) ).
fof(f9,axiom,
! [INS] :
( ( ridgeline_topographical(INS)
& mtvisible(c_tptp_member235_mt) )
=> tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
fof(f9_nnf,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(INS)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(INS)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0)
| ~ mtvisible(c_tptp_member235_mt) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi9,axiom,
ifeq(mtvisible(c_tptp_member235_mt),true,ifeq(ridgeline_topographical(X0),true,tptpofobject(X0,f_tptpquantityfn_13(n_468)),true),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(h43,plain,
tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) = true,
inference(hyper_resolution,[status(thm)],[hi9,h15,h39]) ).
cnf(c57,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(hi57,negated_conjecture,
ifeq(tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c57]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi57,h43]) ).
cnf(t465,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f11,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f11_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c11,c57]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t465]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR065+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.46 % Computer : n020.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.47 % WCLimit : 300
% 0.19/0.47 % DateTime : Fri Sep 25 08:50:19 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.23/2.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.23/2.05 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------