%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR059+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 : 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 04:14:36 PM UTC 2026
% Result : Theorem 1.63s 1.90s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 8 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query109,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query109) ).
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_104,axiom,
( mtvisible(c_tptpgeo_member5_mt)
=> borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_104) ).
fof(ax1_407,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_407) ).
fof(ax1_900,axiom,
! [X13,X14] :
( borderson(X13,X14)
=> borderson(X14,X13) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_900) ).
fof(c_0_5,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(assume_negation,[status(cth)],[query109]) ).
fof(c_0_6,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_7,negated_conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
& ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
( ~ mtvisible(c_tptpgeo_member5_mt)
| borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
inference(fof_nnf,[status(thm)],[ax1_104]) ).
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_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(split_conjunct,[status(thm)],[ax1_407]) ).
cnf(c_0_11,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X1922,X1923] :
( ~ borderson(X1922,X1923)
| borderson(X1923,X1922) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_900])]) ).
cnf(c_0_13,plain,
( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
| ~ mtvisible(c_tptpgeo_member5_mt) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
mtvisible(c_tptpgeo_member5_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,plain,
( borderson(X2,X1)
| ~ borderson(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR059+2 : 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 16:38:49 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.63/1.90 % Version : CSE_E---1.7
% 1.63/1.90 % Problem : theBenchmark.p
% 1.63/1.90 % SZS status Theorem for theBenchmark.p
% 1.63/1.90 % SZS output start CNFRefutation
% See solution above
% 1.73/1.90 % Total time : 1.479s
%------------------------------------------------------------------------------