TSTP Solution File: NUM317+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM317+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n035.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:02:07 EST 2018
% Result : Theorem 0.33s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 24 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 52 ~; 50 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 78 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(11,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdn_positive_less23) ).
fof(65,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdn5) ).
fof(71,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdn3) ).
fof(80,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdn_positive_less45) ).
fof(92,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdnn2) ).
fof(96,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdn_digit_add_n2_n3_n5_n0) ).
fof(123,axiom,
! [X1,X2,X13,X16,X17,X18] :
( ( rdn_translate(X1,rdn_pos(X16))
& rdn_translate(X2,rdn_neg(X17))
& rdn_positive_less(X17,X16)
& rdn_add_with_carry(rdnn(n0),X17,X18,X16)
& rdn_translate(X13,rdn_pos(X18)) )
=> sum(X1,X2,X13) ),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',sum_entry_point_pos_neg_2) ).
fof(132,axiom,
! [X5,X6,X8,X9,X20] :
( ( rdn_digit_add(rdnn(X6),rdnn(X8),rdnn(X20),rdnn(n0))
& rdn_digit_add(rdnn(X20),rdnn(X5),rdnn(X9),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X5),rdnn(X6),rdnn(X8),rdnn(X9)) ),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',add_digit_digit_digit) ).
fof(141,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdn_digit_add_n5_n0_n5_n0) ).
fof(147,axiom,
! [X1,X2,X13] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X2),rdnn(X13)) )
=> rdn_positive_less(rdnn(X1),rdnn(X13)) ),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdn_positive_less_transitivity) ).
fof(148,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',rdn_positive_less34) ).
fof(150,conjecture,
sum(n5,nn2,n3),
file('/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4',sum_n5_nn2_n3) ).
fof(151,negated_conjecture,
~ sum(n5,nn2,n3),
inference(assume_negation,[status(cth)],[150]) ).
fof(152,negated_conjecture,
~ sum(n5,nn2,n3),
inference(fof_simplification,[status(thm)],[151,theory(equality)]) ).
cnf(163,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(229,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(235,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(244,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(258,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(264,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[96]) ).
fof(303,plain,
! [X1,X2,X13,X16,X17,X18] :
( ~ rdn_translate(X1,rdn_pos(X16))
| ~ rdn_translate(X2,rdn_neg(X17))
| ~ rdn_positive_less(X17,X16)
| ~ rdn_add_with_carry(rdnn(n0),X17,X18,X16)
| ~ rdn_translate(X13,rdn_pos(X18))
| sum(X1,X2,X13) ),
inference(fof_nnf,[status(thm)],[123]) ).
fof(304,plain,
! [X19,X20,X21,X22,X23,X24] :
( ~ rdn_translate(X19,rdn_pos(X22))
| ~ rdn_translate(X20,rdn_neg(X23))
| ~ rdn_positive_less(X23,X22)
| ~ rdn_add_with_carry(rdnn(n0),X23,X24,X22)
| ~ rdn_translate(X21,rdn_pos(X24))
| sum(X19,X20,X21) ),
inference(variable_rename,[status(thm)],[303]) ).
cnf(305,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X5,X4,X6)
| ~ rdn_positive_less(X5,X6)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_translate(X1,rdn_pos(X6)) ),
inference(split_conjunct,[status(thm)],[304]) ).
fof(318,plain,
! [X5,X6,X8,X9,X20] :
( ~ rdn_digit_add(rdnn(X6),rdnn(X8),rdnn(X20),rdnn(n0))
| ~ rdn_digit_add(rdnn(X20),rdnn(X5),rdnn(X9),rdnn(n0))
| rdn_add_with_carry(rdnn(X5),rdnn(X6),rdnn(X8),rdnn(X9)) ),
inference(fof_nnf,[status(thm)],[132]) ).
fof(319,plain,
! [X21,X22,X23,X24,X25] :
( ~ rdn_digit_add(rdnn(X22),rdnn(X23),rdnn(X25),rdnn(n0))
| ~ rdn_digit_add(rdnn(X25),rdnn(X21),rdnn(X24),rdnn(n0))
| rdn_add_with_carry(rdnn(X21),rdnn(X22),rdnn(X23),rdnn(X24)) ),
inference(variable_rename,[status(thm)],[318]) ).
cnf(320,plain,
( rdn_add_with_carry(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))
| ~ rdn_digit_add(rdnn(X5),rdnn(X1),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X5),rdnn(n0)) ),
inference(split_conjunct,[status(thm)],[319]) ).
cnf(331,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[141]) ).
fof(337,plain,
! [X1,X2,X13] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X2),rdnn(X13))
| rdn_positive_less(rdnn(X1),rdnn(X13)) ),
inference(fof_nnf,[status(thm)],[147]) ).
fof(338,plain,
! [X14,X15,X16] :
( ~ rdn_positive_less(rdnn(X14),rdnn(X15))
| ~ rdn_positive_less(rdnn(X15),rdnn(X16))
| rdn_positive_less(rdnn(X14),rdnn(X16)) ),
inference(variable_rename,[status(thm)],[337]) ).
cnf(339,plain,
( rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X3),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
inference(split_conjunct,[status(thm)],[338]) ).
cnf(340,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(split_conjunct,[status(thm)],[148]) ).
cnf(342,negated_conjecture,
~ sum(n5,nn2,n3),
inference(split_conjunct,[status(thm)],[152]) ).
cnf(343,plain,
( rdn_positive_less(rdnn(X1),rdnn(n4))
| ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
inference(spm,[status(thm)],[339,340,theory(equality)]) ).
cnf(348,plain,
( rdn_positive_less(rdnn(X1),rdnn(n5))
| ~ rdn_positive_less(rdnn(X1),rdnn(n4)) ),
inference(spm,[status(thm)],[339,244,theory(equality)]) ).
cnf(371,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n5))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n5),rdnn(n0)) ),
inference(spm,[status(thm)],[320,331,theory(equality)]) ).
cnf(552,plain,
( rdn_positive_less(rdnn(X1),rdnn(n5))
| ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
inference(spm,[status(thm)],[348,343,theory(equality)]) ).
cnf(578,plain,
rdn_positive_less(rdnn(n2),rdnn(n5)),
inference(spm,[status(thm)],[552,163,theory(equality)]) ).
cnf(697,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(X4)))
| ~ rdn_translate(X2,rdn_neg(rdnn(X5)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| ~ rdn_positive_less(rdnn(X5),rdnn(n5))
| ~ rdn_digit_add(rdnn(X5),rdnn(X4),rdnn(n5),rdnn(n0)) ),
inference(spm,[status(thm)],[305,371,theory(equality)]) ).
cnf(3673,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X2,rdn_neg(rdnn(n2)))
| ~ rdn_positive_less(rdnn(n2),rdnn(n5)) ),
inference(spm,[status(thm)],[697,264,theory(equality)]) ).
cnf(3679,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X2,rdn_neg(rdnn(n2)))
| $false ),
inference(rw,[status(thm)],[3673,578,theory(equality)]) ).
cnf(3680,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X2,rdn_neg(rdnn(n2))) ),
inference(cn,[status(thm)],[3679,theory(equality)]) ).
cnf(3685,plain,
( sum(n5,X1,X2)
| ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X1,rdn_neg(rdnn(n2))) ),
inference(spm,[status(thm)],[3680,229,theory(equality)]) ).
cnf(3686,plain,
( sum(n5,X1,n3)
| ~ rdn_translate(X1,rdn_neg(rdnn(n2))) ),
inference(spm,[status(thm)],[3685,235,theory(equality)]) ).
cnf(3687,plain,
sum(n5,nn2,n3),
inference(spm,[status(thm)],[3686,258,theory(equality)]) ).
cnf(3688,plain,
$false,
inference(sr,[status(thm)],[3687,342,theory(equality)]) ).
cnf(3689,plain,
$false,
3688,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM317+1 : TPTP v7.0.0. Released v3.1.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n035.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 00:55:45 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.29 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 0.06/0.45 -running prover on /export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.45 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_1']
% 0.06/0.45 -prover status CounterSatisfiable
% 0.06/0.45 -running prover on /export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_2 with time limit 89
% 0.06/0.45 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=89', '/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_2']
% 0.06/0.45 -prover status CounterSatisfiable
% 0.06/0.45 --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 0.27/0.55 -running prover on /export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_3 with time limit 119
% 0.27/0.55 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=119', '/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_3']
% 0.27/0.55 -prover status CounterSatisfiable
% 0.27/0.55 --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 0.33/0.92 -running prover on /export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4 with time limit 149
% 0.33/0.92 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=149', '/export/starexec/sandbox/tmp/tmpZg1SDs/sel_theBenchmark.p_4']
% 0.33/0.92 -prover status Theorem
% 0.33/0.92 Problem theBenchmark.p solved in phase 3.
% 0.33/0.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/0.92 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/0.92 Solved 1 out of 1.
% 0.33/0.92 # Problem is unsatisfiable (or provable), constructing proof object
% 0.33/0.92 # SZS status Theorem
% 0.33/0.92 # SZS output start CNFRefutation.
% See solution above
% 0.33/0.94 # SZS output end CNFRefutation
%------------------------------------------------------------------------------