%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR068+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 : n001.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 04:14:43 PM UTC 2026
% Result : Theorem 31.96s 21.94s
% Output : CNFRefutation 31.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 9 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query218,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query218) ).
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_5580,axiom,
! [X6] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(X6) )
=> tptpofobject(X6,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_5580) ).
fof(ax3_9650,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_9650) ).
fof(ax3_10453,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_10453) ).
fof(c_0_5,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query218]) ).
fof(c_0_6,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_7,negated_conjecture,
( mtvisible(c_tptp_member2356_mt)
& ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X25273] :
( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X25273)
| tptpofobject(X25273,f_tptpquantityfn_1(n_328)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_5580])]) ).
cnf(c_0_9,plain,
( mtvisible(X2)
| ~ mtvisible(X1)
| ~ genlmt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[ax3_9650]) ).
cnf(c_0_11,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( tptpofobject(X1,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
mtvisible(c_tptp_spindleheadmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( tptpofobject(X1,f_tptpquantityfn_1(n_328))
| ~ furpelt(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_16,plain,
furpelt(c_theprototypicalfurpelt),
inference(split_conjunct,[status(thm)],[ax3_10453]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : CSR068+4 : TPTP v9.2.1. Released v3.4.0.
% 0.13/0.13 % 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
% 0.17/0.35 % Computer : n001.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon May 4 16:42:48 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.20/0.36 % start to proof: theBenchmark
% 31.96/21.94 % Version : CSE_E---1.7
% 31.96/21.94 % Problem : theBenchmark.p
% 31.96/21.94 % SZS status Theorem for theBenchmark.p
% 31.96/21.94 % SZS output start CNFRefutation
% See solution above
% 31.96/21.97 % Total time : 20.384s
%------------------------------------------------------------------------------