%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR068+3 : 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 : n020.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 6.41s 4.74s
% Output : CNFRefutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 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 : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query168,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query168) ).
fof(ax2_1436,axiom,
! [X2] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(X2) )
=> tptpofobject(X2,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1436) ).
fof(ax2_7997,axiom,
! [X21,X22] :
( ( mtvisible(X21)
& genlmt(X21,X22) )
=> mtvisible(X22) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
fof(ax2_385,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_385) ).
fof(ax2_1607,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1607) ).
fof(c_0_5,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query168]) ).
fof(c_0_6,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_7,plain,
! [X6408] :
( ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X6408)
| tptpofobject(X6408,f_tptpquantityfn_1(n_328)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_1436])]) ).
fof(c_0_8,plain,
! [X11948,X11949] :
( ~ mtvisible(X11948)
| ~ genlmt(X11948,X11949)
| mtvisible(X11949) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7997])]) ).
cnf(c_0_9,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( tptpofobject(X1,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
furpelt(c_theprototypicalfurpelt),
inference(split_conjunct,[status(thm)],[ax2_385]) ).
cnf(c_0_12,plain,
( mtvisible(X2)
| ~ mtvisible(X1)
| ~ genlmt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[ax2_1607]) ).
cnf(c_0_14,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
~ 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_16,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR068+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n020.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 16:42:35 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 6.41/4.74 % Version : CSE_E---1.7
% 6.41/4.74 % Problem : theBenchmark.p
% 6.41/4.74 % SZS status Theorem for theBenchmark.p
% 6.41/4.74 % SZS output start CNFRefutation
% See solution above
% 6.41/4.75 % Total time : 4.021s
%------------------------------------------------------------------------------