%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR065+4 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:14:40 PM UTC 2026
% Result : Theorem 35.70s 23.93s
% Output : CNFRefutation 35.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 11 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query215,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query215) ).
fof(ax3_44208,axiom,
! [X22,X23] :
( ( mtvisible(X22)
& genlmt(X22,X23) )
=> mtvisible(X23) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_44208) ).
fof(ax3_548,axiom,
! [X6] :
( ( mtvisible(c_tptp_member235_mt)
& ridgeline_topographical(X6) )
=> tptpofobject(X6,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_548) ).
fof(ax3_23519,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_23519) ).
fof(ax3_6660,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_6660) ).
fof(ax3_4764,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1489_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_4764) ).
fof(ax3_86,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_86) ).
fof(ax3_773,axiom,
genlmt(c_tptp_member1489_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_773) ).
fof(c_0_8,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(assume_negation,[status(cth)],[query215]) ).
fof(c_0_9,plain,
! [X48099,X48100] :
( ~ mtvisible(X48099)
| ~ genlmt(X48099,X48100)
| mtvisible(X48100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_44208])]) ).
fof(c_0_10,negated_conjecture,
( mtvisible(c_tptp_spindlecollectormt)
& ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X24170] :
( ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X24170)
| tptpofobject(X24170,f_tptpquantityfn_13(n_468)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_548])]) ).
cnf(c_0_12,plain,
( mtvisible(X2)
| ~ mtvisible(X1)
| ~ genlmt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(split_conjunct,[status(thm)],[ax3_23519]) ).
cnf(c_0_14,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( tptpofobject(X1,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
mtvisible(c_tptp_member235_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( tptpofobject(X1,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
fof(c_0_19,plain,
( ~ mtvisible(c_cyclistsmt)
| ridgeline_topographical(c_tptpridgeline_topographical) ),
inference(fof_nnf,[status(thm)],[ax3_6660]) ).
cnf(c_0_20,negated_conjecture,
~ ridgeline_topographical(c_tptpridgeline_topographical),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1489_mt),
inference(split_conjunct,[status(thm)],[ax3_4764]) ).
cnf(c_0_23,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(split_conjunct,[status(thm)],[ax3_86]) ).
cnf(c_0_24,negated_conjecture,
~ mtvisible(c_cyclistsmt),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
genlmt(c_tptp_member1489_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[ax3_773]) ).
cnf(c_0_26,plain,
mtvisible(c_tptp_member1489_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_22]),c_0_14])]) ).
cnf(c_0_27,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_25]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : CSR065+4 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 16:43:01 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 35.70/23.93 % Version : CSE_E---1.7
% 35.70/23.93 % Problem : theBenchmark.p
% 35.70/23.93 % SZS status Theorem for theBenchmark.p
% 35.70/23.93 % SZS output start CNFRefutation
% See solution above
% 35.70/23.97 % Total time : 22.434s
%------------------------------------------------------------------------------