TSTP Solution File: NUM344+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM344+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n088.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 15:02:10 EST 2018
% Result : Theorem 185.35s
% Output : CNFRefutation 185.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 15 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 105 ( 49 ~; 45 |; 8 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 85 ( 0 sgn 49 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(55,axiom,
! [X1,X2,X15,X3,X4,X18] :
( ( rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X2,rdn_pos(X4))
& rdn_add_with_carry(rdnn(n0),X3,X4,X18)
& rdn_translate(X15,rdn_pos(X18)) )
=> sum(X1,X2,X15) ),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',sum_entry_point_pos_pos) ).
fof(69,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',rdn0) ).
fof(70,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',rdn1) ).
fof(94,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',rdn_positive_less01) ).
fof(102,axiom,
rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',rdn_digit_add_n0_n1_n1_n0) ).
fof(120,axiom,
! [X1,X2,X3,X4] :
( ( rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X2,rdn_pos(X4))
& rdn_positive_less(X3,X4) )
=> less(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',less_entry_point_pos_pos) ).
fof(134,axiom,
! [X7,X8,X10,X11,X20] :
( ( rdn_digit_add(rdnn(X8),rdnn(X10),rdnn(X20),rdnn(n0))
& rdn_digit_add(rdnn(X20),rdnn(X7),rdnn(X11),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X7),rdnn(X8),rdnn(X10),rdnn(X11)) ),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',add_digit_digit_digit) ).
fof(152,axiom,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',rdn_digit_add_n1_n0_n1_n0) ).
fof(153,conjecture,
? [X1,X2] :
( sum(X1,n1,X2)
& less(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4',exist_bigger_plus_one) ).
fof(154,negated_conjecture,
~ ? [X1,X2] :
( sum(X1,n1,X2)
& less(X1,X2) ),
inference(assume_negation,[status(cth)],[153]) ).
fof(224,plain,
! [X1,X2,X15,X3,X4,X18] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X18)
| ~ rdn_translate(X15,rdn_pos(X18))
| sum(X1,X2,X15) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(225,plain,
! [X19,X20,X21,X22,X23,X24] :
( ~ rdn_translate(X19,rdn_pos(X22))
| ~ rdn_translate(X20,rdn_pos(X23))
| ~ rdn_add_with_carry(rdnn(n0),X22,X23,X24)
| ~ rdn_translate(X21,rdn_pos(X24))
| sum(X19,X20,X21) ),
inference(variable_rename,[status(thm)],[224]) ).
cnf(226,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X5,X6,X4)
| ~ rdn_translate(X2,rdn_pos(X6))
| ~ rdn_translate(X1,rdn_pos(X5)) ),
inference(split_conjunct,[status(thm)],[225]) ).
cnf(240,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(241,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(269,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(279,plain,
rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
inference(split_conjunct,[status(thm)],[102]) ).
fof(305,plain,
! [X1,X2,X3,X4] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_positive_less(X3,X4)
| less(X1,X2) ),
inference(fof_nnf,[status(thm)],[120]) ).
fof(306,plain,
! [X5,X6,X7,X8] :
( ~ rdn_translate(X5,rdn_pos(X7))
| ~ rdn_translate(X6,rdn_pos(X8))
| ~ rdn_positive_less(X7,X8)
| less(X5,X6) ),
inference(variable_rename,[status(thm)],[305]) ).
cnf(307,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(split_conjunct,[status(thm)],[306]) ).
fof(329,plain,
! [X7,X8,X10,X11,X20] :
( ~ rdn_digit_add(rdnn(X8),rdnn(X10),rdnn(X20),rdnn(n0))
| ~ rdn_digit_add(rdnn(X20),rdnn(X7),rdnn(X11),rdnn(n0))
| rdn_add_with_carry(rdnn(X7),rdnn(X8),rdnn(X10),rdnn(X11)) ),
inference(fof_nnf,[status(thm)],[134]) ).
fof(330,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)],[329]) ).
cnf(331,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)],[330]) ).
cnf(358,plain,
rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
inference(split_conjunct,[status(thm)],[152]) ).
fof(359,negated_conjecture,
! [X1,X2] :
( ~ sum(X1,n1,X2)
| ~ less(X1,X2) ),
inference(fof_nnf,[status(thm)],[154]) ).
fof(360,negated_conjecture,
! [X3,X4] :
( ~ sum(X3,n1,X4)
| ~ less(X3,X4) ),
inference(variable_rename,[status(thm)],[359]) ).
cnf(361,negated_conjecture,
( ~ less(X1,X2)
| ~ sum(X1,n1,X2) ),
inference(split_conjunct,[status(thm)],[360]) ).
cnf(379,plain,
( less(X1,n1)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n1)) ),
inference(spm,[status(thm)],[307,241,theory(equality)]) ).
cnf(409,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n1))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n1),rdnn(n0)) ),
inference(spm,[status(thm)],[331,358,theory(equality)]) ).
cnf(582,plain,
( less(n0,n1)
| ~ rdn_positive_less(rdnn(n0),rdnn(n1)) ),
inference(spm,[status(thm)],[379,240,theory(equality)]) ).
cnf(590,plain,
( less(n0,n1)
| $false ),
inference(rw,[status(thm)],[582,269,theory(equality)]) ).
cnf(591,plain,
less(n0,n1),
inference(cn,[status(thm)],[590,theory(equality)]) ).
cnf(593,negated_conjecture,
~ sum(n0,n1,n1),
inference(spm,[status(thm)],[361,591,theory(equality)]) ).
cnf(1115,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n1)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X5)))
| ~ rdn_translate(X1,rdn_pos(rdnn(X4)))
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(n1),rdnn(n0)) ),
inference(spm,[status(thm)],[226,409,theory(equality)]) ).
cnf(2804,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n1)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n1)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n0))) ),
inference(spm,[status(thm)],[1115,279,theory(equality)]) ).
cnf(2806,plain,
( sum(X1,X2,n1)
| ~ rdn_translate(X2,rdn_pos(rdnn(n1)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n0))) ),
inference(spm,[status(thm)],[2804,241,theory(equality)]) ).
cnf(2807,plain,
( sum(X1,n1,n1)
| ~ rdn_translate(X1,rdn_pos(rdnn(n0))) ),
inference(spm,[status(thm)],[2806,241,theory(equality)]) ).
cnf(2808,plain,
sum(n0,n1,n1),
inference(spm,[status(thm)],[2807,240,theory(equality)]) ).
cnf(2809,plain,
$false,
inference(sr,[status(thm)],[2808,593,theory(equality)]) ).
cnf(2810,plain,
$false,
2809,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM344+1 : TPTP v7.0.0. Released v3.1.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n088.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 01:22:45 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for [NUM005+0.ax, NUM005+1.ax, NUM005+2.ax]
% 29.05/29.38 eprover: CPU time limit exceeded, terminating
% 110.14/110.55 eprover: CPU time limit exceeded, terminating
% 110.23/110.62 -running prover on /export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_1 with time limit 29
% 110.23/110.62 -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/tmp63GH6s/sel_theBenchmark.p_1']
% 110.23/110.62 -prover status ResourceOut
% 110.23/110.62 -running prover on /export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_2 with time limit 81
% 110.23/110.62 -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=81', '/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_2']
% 110.23/110.62 -prover status ResourceOut
% 110.23/110.62 --creating new selector for [NUM005+0.ax, NUM005+1.ax, NUM005+2.ax]
% 185.23/185.71 eprover: CPU time limit exceeded, terminating
% 185.23/185.78 -running prover on /export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_3 with time limit 75
% 185.23/185.78 -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=75', '/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_3']
% 185.23/185.78 -prover status ResourceOut
% 185.23/185.78 --creating new selector for [NUM005+0.ax, NUM005+1.ax, NUM005+2.ax]
% 185.35/185.98 -running prover on /export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4 with time limit 57
% 185.35/185.98 -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=57', '/export/starexec/sandbox/tmp/tmp63GH6s/sel_theBenchmark.p_4']
% 185.35/185.98 -prover status Theorem
% 185.35/185.98 Problem theBenchmark.p solved in phase 3.
% 185.35/185.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 185.35/185.98 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 185.35/185.98 Solved 1 out of 1.
% 185.35/185.98 # Problem is unsatisfiable (or provable), constructing proof object
% 185.35/185.98 # SZS status Theorem
% 185.35/185.98 # SZS output start CNFRefutation.
% See solution above
% 185.35/185.99 # SZS output end CNFRefutation
%------------------------------------------------------------------------------