%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM334+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n068.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 15:02:09 EST 2018
% Result : Theorem 0.41s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 18 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 81 ( 38 ~; 34 |; 6 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 69 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(54,axiom,
! [X1,X2,X13,X16,X17,X18] :
( ( rdn_translate(X1,rdn_pos(X16))
& rdn_translate(X2,rdn_pos(X17))
& rdn_add_with_carry(rdnn(n0),X16,X17,X18)
& rdn_translate(X13,rdn_pos(X18)) )
=> sum(X1,X2,X13) ),
file('/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',sum_entry_point_pos_pos) ).
fof(65,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',rdn5) ).
fof(70,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',rdn2) ).
fof(86,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',rdn_digit_add_n7_n0_n7_n0) ).
fof(90,axiom,
rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',rdn_digit_add_n5_n2_n7_n0) ).
fof(114,axiom,
rdn_translate(n7,rdn_pos(rdnn(n7))),
file('/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',rdn7) ).
fof(130,axiom,
! [X1,X2,X13] :
( sum(X2,X13,X1)
<=> difference(X1,X2,X13) ),
file('/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',minus_entry_point) ).
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/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',add_digit_digit_digit) ).
fof(150,conjecture,
difference(n7,n5,n2),
file('/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4',diff_n7_n5_n2) ).
fof(151,negated_conjecture,
~ difference(n7,n5,n2),
inference(assume_negation,[status(cth)],[150]) ).
fof(152,negated_conjecture,
~ difference(n7,n5,n2),
inference(fof_simplification,[status(thm)],[151,theory(equality)]) ).
fof(216,plain,
! [X1,X2,X13,X16,X17,X18] :
( ~ rdn_translate(X1,rdn_pos(X16))
| ~ rdn_translate(X2,rdn_pos(X17))
| ~ rdn_add_with_carry(rdnn(n0),X16,X17,X18)
| ~ rdn_translate(X13,rdn_pos(X18))
| sum(X1,X2,X13) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(217,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)],[216]) ).
cnf(218,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)],[217]) ).
cnf(229,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(234,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(250,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(256,plain,
rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0)),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(292,plain,
rdn_translate(n7,rdn_pos(rdnn(n7))),
inference(split_conjunct,[status(thm)],[114]) ).
fof(314,plain,
! [X1,X2,X13] :
( ( ~ sum(X2,X13,X1)
| difference(X1,X2,X13) )
& ( ~ difference(X1,X2,X13)
| sum(X2,X13,X1) ) ),
inference(fof_nnf,[status(thm)],[130]) ).
fof(315,plain,
! [X14,X15,X16] :
( ( ~ sum(X15,X16,X14)
| difference(X14,X15,X16) )
& ( ~ difference(X14,X15,X16)
| sum(X15,X16,X14) ) ),
inference(variable_rename,[status(thm)],[314]) ).
cnf(317,plain,
( difference(X1,X2,X3)
| ~ sum(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[315]) ).
fof(321,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(322,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)],[321]) ).
cnf(323,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)],[322]) ).
cnf(345,negated_conjecture,
~ difference(n7,n5,n2),
inference(split_conjunct,[status(thm)],[152]) ).
cnf(346,negated_conjecture,
~ sum(n5,n2,n7),
inference(spm,[status(thm)],[345,317,theory(equality)]) ).
cnf(371,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n7))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n7),rdnn(n0)) ),
inference(spm,[status(thm)],[323,250,theory(equality)]) ).
cnf(610,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n7)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X4)))
| ~ rdn_translate(X1,rdn_pos(rdnn(X5)))
| ~ rdn_digit_add(rdnn(X5),rdnn(X4),rdnn(n7),rdnn(n0)) ),
inference(spm,[status(thm)],[218,371,theory(equality)]) ).
cnf(1148,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n7)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n2)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n5))) ),
inference(spm,[status(thm)],[610,256,theory(equality)]) ).
cnf(1206,plain,
( sum(X1,X2,n7)
| ~ rdn_translate(X2,rdn_pos(rdnn(n2)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n5))) ),
inference(spm,[status(thm)],[1148,292,theory(equality)]) ).
cnf(1252,plain,
( sum(X1,n2,n7)
| ~ rdn_translate(X1,rdn_pos(rdnn(n5))) ),
inference(spm,[status(thm)],[1206,234,theory(equality)]) ).
cnf(1253,plain,
sum(n5,n2,n7),
inference(spm,[status(thm)],[1252,229,theory(equality)]) ).
cnf(1254,plain,
$false,
inference(sr,[status(thm)],[1253,346,theory(equality)]) ).
cnf(1255,plain,
$false,
1254,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM334+1 : TPTP v7.0.0. Released v3.1.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.22 % Computer : n068.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 32218.625MB
% 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Fri Jan 5 01:12:59 CST 2018
% 0.03/0.22 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 0.06/0.43 -running prover on /export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.43 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_1']
% 0.06/0.43 -prover status CounterSatisfiable
% 0.06/0.43 -running prover on /export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_2 with time limit 89
% 0.06/0.43 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=89', '/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_2']
% 0.06/0.43 -prover status CounterSatisfiable
% 0.06/0.43 --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 0.06/0.50 -running prover on /export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_3 with time limit 119
% 0.06/0.50 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=119', '/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_3']
% 0.06/0.50 -prover status CounterSatisfiable
% 0.06/0.50 --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 0.41/0.61 -running prover on /export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4 with time limit 149
% 0.41/0.61 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=149', '/export/starexec/sandbox2/tmp/tmpxRRMZf/sel_theBenchmark.p_4']
% 0.41/0.61 -prover status Theorem
% 0.41/0.61 Problem theBenchmark.p solved in phase 3.
% 0.41/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.61 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.61 Solved 1 out of 1.
% 0.41/0.61 # Problem is unsatisfiable (or provable), constructing proof object
% 0.41/0.61 # SZS status Theorem
% 0.41/0.61 # SZS output start CNFRefutation.
% See solution above
% 0.41/0.63 # SZS output end CNFRefutation
%------------------------------------------------------------------------------