%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR065+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.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 1.39s 1.70s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 33 ( 14 ~; 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(query115,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query115) ).
fof(ax1_1123,axiom,
! [X20,X21] :
( ( mtvisible(X20)
& genlmt(X20,X21) )
=> mtvisible(X21) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(ax1_364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_364) ).
fof(ax1_315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_315) ).
fof(ax1_105,axiom,
! [X10] :
( ( mtvisible(c_tptp_member235_mt)
& ridgeline_topographical(X10) )
=> tptpofobject(X10,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_105) ).
fof(ax1_419,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_419) ).
fof(ax1_25,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_25) ).
fof(ax1_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
fof(c_0_8,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(assume_negation,[status(cth)],[query115]) ).
fof(c_0_9,plain,
! [X2249,X2250] :
( ~ mtvisible(X2249)
| ~ genlmt(X2249,X2250)
| mtvisible(X2250) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])]) ).
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]) ).
cnf(c_0_11,plain,
( mtvisible(X2)
| ~ mtvisible(X1)
| ~ genlmt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(split_conjunct,[status(thm)],[ax1_364]) ).
cnf(c_0_13,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[ax1_315]) ).
cnf(c_0_15,plain,
mtvisible(c_tptp_member3993_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
fof(c_0_16,plain,
! [X1190] :
( ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X1190)
| tptpofobject(X1190,f_tptpquantityfn_13(n_468)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_105])]) ).
cnf(c_0_17,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(split_conjunct,[status(thm)],[ax1_419]) ).
fof(c_0_18,plain,
( ~ mtvisible(c_cyclistsmt)
| ridgeline_topographical(c_tptpridgeline_topographical) ),
inference(fof_nnf,[status(thm)],[ax1_25]) ).
cnf(c_0_19,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(split_conjunct,[status(thm)],[ax1_254]) ).
cnf(c_0_20,plain,
mtvisible(c_tptp_spindleheadmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_15])]) ).
cnf(c_0_21,plain,
( tptpofobject(X1,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
mtvisible(c_tptp_member235_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_17]),c_0_13])]) ).
cnf(c_0_23,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
mtvisible(c_cyclistsmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( tptpofobject(X1,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_27,plain,
ridgeline_topographical(c_tptpridgeline_topographical),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : CSR065+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.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 11:40:41 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.24 % start to proof: theBenchmark
% 1.39/1.70 % Version : CSE_E---1.7
% 1.39/1.70 % Problem : theBenchmark.p
% 1.39/1.70 % SZS status Theorem for theBenchmark.p
% 1.39/1.70 % SZS output start CNFRefutation
% See solution above
% 1.39/1.70 % Total time : 1.416s
%------------------------------------------------------------------------------