%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR026+4 : 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 : n002.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 04:13:55 PM UTC 2026
% Result : Theorem 31.17s 20.90s
% Output : CNFRefutation 31.17s
% 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(query176,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query176) ).
fof(ax3_44208,axiom,
! [X22,X23] :
( ( mtvisible(X22)
& genlmt(X22,X23) )
=> mtvisible(X23) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_44208) ).
fof(ax3_25858,axiom,
! [X6] :
( ( mtvisible(c_tptp_member2701_mt)
& runningshorts(X6) )
=> tptpofobject(X6,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_25858) ).
fof(ax3_3921,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_3921) ).
fof(ax3_5712,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_5712) ).
fof(ax3_4764,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member1489_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_4764) ).
fof(ax3_86,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_86) ).
fof(ax3_773,axiom,
genlmt(c_tptp_member1489_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_773) ).
fof(c_0_8,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(assume_negation,[status(cth)],[query176]) ).
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_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X29808] :
( ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X29808)
| tptpofobject(X29808,f_tptpquantityfn_2(n_756)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_25858])]) ).
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_member2701_mt),
inference(split_conjunct,[status(thm)],[ax3_3921]) ).
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_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
mtvisible(c_tptp_member2701_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_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( tptpofobject(X1,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
fof(c_0_19,plain,
( ~ mtvisible(c_cyclistsmt)
| runningshorts(c_tptprunningshorts) ),
inference(fof_nnf,[status(thm)],[ax3_5712]) ).
cnf(c_0_20,negated_conjecture,
~ runningshorts(c_tptprunningshorts),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( runningshorts(c_tptprunningshorts)
| ~ 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
% 0.11/0.14 % Problem : CSR026+4 : TPTP v9.2.1. Released v3.4.0.
% 0.11/0.14 % 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
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 4 16:26:31 EDT 2026
% 0.14/0.35 % CPUTime :
% 0.18/0.36 % start to proof: theBenchmark
% 31.17/20.90 % Version : CSE_E---1.7
% 31.17/20.90 % Problem : theBenchmark.p
% 31.17/20.90 % SZS status Theorem for theBenchmark.p
% 31.17/20.90 % SZS output start CNFRefutation
% See solution above
% 31.17/20.93 % Total time : 19.318s
%------------------------------------------------------------------------------