%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM003+3 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 04:12:56 PM UTC 2026
% Result : Theorem 1.73s 1.87s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
~ ? [X6] :
( algorithm(X6)
& ! [X7] :
( program(X7)
=> ! [X8] : decides(X6,X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(p3,axiom,
! [X4] :
( ( program(X4)
& ! [X2,X3] :
( ( ( program(X2)
& halts2(X2,X3) )
=> ( halts3(X4,X2,X3)
& outputs(X4,good) ) )
& ( ( program(X2)
& ~ halts2(X2,X3) )
=> ( halts3(X4,X2,X3)
& outputs(X4,bad) ) ) ) )
=> ? [X5] :
( program(X5)
& ! [X2] :
( ( ( program(X2)
& halts3(X4,X2,X2)
& outputs(X4,good) )
=> ~ halts2(X5,X2) )
& ( ( program(X2)
& halts3(X4,X2,X2)
& outputs(X4,bad) )
=> ( halts2(X5,X2)
& outputs(X5,bad) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(p2,axiom,
! [X4] :
( ( program(X4)
& ! [X2] :
( program(X2)
=> ! [X3] : decides(X4,X2,X3) ) )
=> ! [X2,X3] :
( ( ( program(X2)
& halts2(X2,X3) )
=> ( halts3(X4,X2,X3)
& outputs(X4,good) ) )
& ( ( program(X2)
& ~ halts2(X2,X3) )
=> ( halts3(X4,X2,X3)
& outputs(X4,bad) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(p1,axiom,
( ? [X1] :
( algorithm(X1)
& ! [X2] :
( program(X2)
=> ! [X3] : decides(X1,X2,X3) ) )
=> ? [X4] :
( program(X4)
& ! [X2] :
( program(X2)
=> ! [X3] : decides(X4,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X6] :
( algorithm(X6)
& ! [X7] :
( program(X7)
=> ! [X8] : decides(X6,X7,X8) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_5,plain,
! [X4] :
( ( program(X4)
& ! [X2,X3] :
( ( ( program(X2)
& halts2(X2,X3) )
=> ( halts3(X4,X2,X3)
& outputs(X4,good) ) )
& ( ( program(X2)
& ~ halts2(X2,X3) )
=> ( halts3(X4,X2,X3)
& outputs(X4,bad) ) ) ) )
=> ? [X5] :
( program(X5)
& ! [X2] :
( ( ( program(X2)
& halts3(X4,X2,X2)
& outputs(X4,good) )
=> ~ halts2(X5,X2) )
& ( ( program(X2)
& halts3(X4,X2,X2)
& outputs(X4,bad) )
=> ( halts2(X5,X2)
& outputs(X5,bad) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[p3]) ).
fof(c_0_6,plain,
! [X4] :
( ( program(X4)
& ! [X2] :
( program(X2)
=> ! [X3] : decides(X4,X2,X3) ) )
=> ! [X2,X3] :
( ( ( program(X2)
& halts2(X2,X3) )
=> ( halts3(X4,X2,X3)
& outputs(X4,good) ) )
& ( ( program(X2)
& ~ halts2(X2,X3) )
=> ( halts3(X4,X2,X3)
& outputs(X4,bad) ) ) ) ),
inference(fof_simplification,[status(thm)],[p2]) ).
fof(c_0_7,plain,
! [X28,X32,X33] :
( ( program(esk3_0)
| program(esk1_1(X28))
| ~ algorithm(X28) )
& ( ~ program(X32)
| decides(esk3_0,X32,X33)
| program(esk1_1(X28))
| ~ algorithm(X28) )
& ( program(esk3_0)
| ~ decides(X28,esk1_1(X28),esk2_1(X28))
| ~ algorithm(X28) )
& ( ~ program(X32)
| decides(esk3_0,X32,X33)
| ~ decides(X28,esk1_1(X28),esk2_1(X28))
| ~ algorithm(X28) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X50,X51] :
( algorithm(esk11_0)
& ( ~ program(X50)
| decides(esk11_0,X50,X51) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_9,plain,
! [X41,X47,X48] :
( ( program(esk10_1(X41))
| program(esk8_1(X41))
| program(esk6_1(X41))
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| program(esk8_1(X41))
| program(esk6_1(X41))
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| program(esk8_1(X41))
| program(esk6_1(X41))
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| program(esk8_1(X41))
| program(esk6_1(X41))
| ~ program(X41) )
& ( program(esk10_1(X41))
| ~ halts2(esk8_1(X41),esk9_1(X41))
| program(esk6_1(X41))
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| program(esk6_1(X41))
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| program(esk6_1(X41))
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| program(esk6_1(X41))
| ~ program(X41) )
& ( program(esk10_1(X41))
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| program(esk6_1(X41))
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| program(esk6_1(X41))
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| program(esk6_1(X41))
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| program(esk6_1(X41))
| ~ program(X41) )
& ( program(esk10_1(X41))
| program(esk8_1(X41))
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| program(esk8_1(X41))
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| program(esk8_1(X41))
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| program(esk8_1(X41))
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( program(esk10_1(X41))
| ~ halts2(esk8_1(X41),esk9_1(X41))
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( program(esk10_1(X41))
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| halts2(esk6_1(X41),esk7_1(X41))
| ~ program(X41) )
& ( program(esk10_1(X41))
| program(esk8_1(X41))
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| program(esk8_1(X41))
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| program(esk8_1(X41))
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| program(esk8_1(X41))
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( program(esk10_1(X41))
| ~ halts2(esk8_1(X41),esk9_1(X41))
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts2(esk8_1(X41),esk9_1(X41))
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( program(esk10_1(X41))
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( ~ program(X47)
| ~ halts3(X41,X47,X47)
| ~ outputs(X41,good)
| ~ halts2(esk10_1(X41),X47)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( halts2(esk10_1(X41),X48)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) )
& ( outputs(esk10_1(X41),bad)
| ~ program(X48)
| ~ halts3(X41,X48,X48)
| ~ outputs(X41,bad)
| ~ halts3(X41,esk8_1(X41),esk9_1(X41))
| ~ outputs(X41,bad)
| ~ halts3(X41,esk6_1(X41),esk7_1(X41))
| ~ outputs(X41,good)
| ~ program(X41) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
fof(c_0_10,plain,
! [X34,X37,X38,X39,X40] :
( ( halts3(X34,X37,X38)
| ~ program(X37)
| ~ halts2(X37,X38)
| program(esk4_1(X34))
| ~ program(X34) )
& ( outputs(X34,good)
| ~ program(X37)
| ~ halts2(X37,X38)
| program(esk4_1(X34))
| ~ program(X34) )
& ( halts3(X34,X39,X40)
| ~ program(X39)
| halts2(X39,X40)
| program(esk4_1(X34))
| ~ program(X34) )
& ( outputs(X34,bad)
| ~ program(X39)
| halts2(X39,X40)
| program(esk4_1(X34))
| ~ program(X34) )
& ( halts3(X34,X37,X38)
| ~ program(X37)
| ~ halts2(X37,X38)
| ~ decides(X34,esk4_1(X34),esk5_1(X34))
| ~ program(X34) )
& ( outputs(X34,good)
| ~ program(X37)
| ~ halts2(X37,X38)
| ~ decides(X34,esk4_1(X34),esk5_1(X34))
| ~ program(X34) )
& ( halts3(X34,X39,X40)
| ~ program(X39)
| halts2(X39,X40)
| ~ decides(X34,esk4_1(X34),esk5_1(X34))
| ~ program(X34) )
& ( outputs(X34,bad)
| ~ program(X39)
| halts2(X39,X40)
| ~ decides(X34,esk4_1(X34),esk5_1(X34))
| ~ program(X34) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])]) ).
cnf(c_0_11,plain,
( decides(esk3_0,X1,X2)
| program(esk1_1(X3))
| ~ program(X1)
| ~ algorithm(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
algorithm(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( program(esk3_0)
| ~ decides(X1,esk1_1(X1),esk2_1(X1))
| ~ algorithm(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( decides(esk11_0,X1,X2)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( halts2(esk10_1(X1),X2)
| ~ program(X2)
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,good)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( ~ program(X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,good)
| ~ halts2(esk10_1(X2),X1)
| ~ halts3(X2,esk8_1(X2),esk9_1(X2))
| ~ outputs(X2,bad)
| ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ outputs(X2,good)
| ~ program(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( halts3(X1,X2,X3)
| halts2(X2,X3)
| ~ program(X2)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( halts3(X1,X2,X3)
| ~ program(X2)
| ~ halts2(X2,X3)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( decides(esk3_0,X1,X2)
| ~ program(X1)
| ~ decides(X3,esk1_1(X3),esk2_1(X3))
| ~ algorithm(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( decides(esk3_0,X1,X2)
| program(esk1_1(esk11_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( program(esk3_0)
| ~ program(esk1_1(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12])]) ).
cnf(c_0_22,plain,
( program(esk3_0)
| program(esk1_1(X1))
| ~ algorithm(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,plain,
( halts2(esk10_1(X1),X2)
| ~ program(X2)
| ~ program(X1)
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ halts3(X1,esk8_1(X1),esk9_1(X1)) ),
inference(cn,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( ~ program(X2)
| ~ program(X1)
| ~ outputs(X2,good)
| ~ outputs(X2,bad)
| ~ halts3(X2,X1,X1)
| ~ halts2(esk10_1(X2),X1)
| ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ halts3(X2,esk8_1(X2),esk9_1(X2)) ),
inference(cn,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( halts3(X1,X2,X3)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
( decides(esk3_0,X1,X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_12])]),c_0_20]) ).
cnf(c_0_27,negated_conjecture,
program(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12])]) ).
cnf(c_0_28,plain,
( outputs(X1,good)
| ~ program(X2)
| ~ halts2(X2,X3)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,plain,
( halts2(esk10_1(X1),X2)
| program(esk6_1(X1))
| ~ program(X2)
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,plain,
( ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ halts3(X1,X2,X2)
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( halts3(esk3_0,X1,X2)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_32,plain,
( outputs(X1,good)
| program(esk4_1(X1))
| ~ program(X2)
| ~ halts2(X2,X3)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,plain,
( program(esk10_1(X1))
| program(esk8_1(X1))
| halts2(esk6_1(X1),esk7_1(X1))
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,plain,
( program(esk10_1(X1))
| program(esk8_1(X1))
| program(esk6_1(X1))
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,negated_conjecture,
( outputs(esk3_0,good)
| ~ halts2(X1,X2)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_27])]) ).
cnf(c_0_36,plain,
( program(esk8_1(X2))
| ~ program(X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,good)
| ~ halts2(esk10_1(X2),X1)
| ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ outputs(X2,good)
| ~ program(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,plain,
( program(esk6_1(X2))
| ~ program(X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,good)
| ~ halts2(esk10_1(X2),X1)
| ~ halts3(X2,esk8_1(X2),esk9_1(X2))
| ~ outputs(X2,bad)
| ~ program(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,plain,
( program(esk6_1(X1))
| halts2(esk10_1(X1),X2)
| ~ program(X2)
| ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1)) ),
inference(cn,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ outputs(esk3_0,bad)
| ~ halts3(esk3_0,esk6_1(esk3_0),esk7_1(esk3_0))
| ~ program(esk4_1(esk3_0))
| ~ program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_27])]),c_0_31]) ).
cnf(c_0_40,plain,
( halts3(X1,X2,X3)
| halts2(X2,X3)
| program(esk4_1(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,plain,
( halts3(X1,X2,X3)
| program(esk4_1(X1))
| ~ program(X2)
| ~ halts2(X2,X3)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_42,plain,
( outputs(X1,good)
| program(esk10_1(X2))
| program(esk8_1(X2))
| program(esk4_1(X1))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( outputs(esk3_0,good)
| program(esk10_1(X1))
| program(esk8_1(X1))
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_34]) ).
cnf(c_0_44,plain,
( program(esk8_1(X2))
| program(esk6_1(X2))
| ~ program(X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,good)
| ~ halts2(esk10_1(X2),X1)
| ~ program(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_45,plain,
( halts2(esk10_1(X1),X2)
| program(esk8_1(X1))
| ~ program(X2)
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,good)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_46,plain,
( program(esk8_1(X2))
| ~ program(X2)
| ~ program(X1)
| ~ outputs(X2,good)
| ~ halts3(X2,X1,X1)
| ~ halts2(esk10_1(X2),X1)
| ~ halts3(X2,esk6_1(X2),esk7_1(X2)) ),
inference(cn,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
( program(esk6_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ halts3(X1,X2,X2)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk8_1(esk3_0))
| ~ program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_31]) ).
cnf(c_0_49,plain,
( program(esk10_1(X1))
| program(esk8_1(X1))
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,good)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_50,plain,
( halts3(X1,X2,X3)
| program(esk4_1(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
( outputs(esk3_0,good)
| program(esk8_1(X1))
| program(esk10_1(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_27]),c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| ~ outputs(esk3_0,good)
| ~ halts2(esk10_1(esk3_0),X1)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_31]),c_0_27])]) ).
cnf(c_0_53,plain,
( halts2(esk10_1(X1),X2)
| program(esk8_1(X1))
| program(esk6_1(X1))
| ~ program(X2)
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_54,plain,
( program(esk8_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ halts3(X1,X2,X2)
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_31]),c_0_27])]),c_0_31]),c_0_48]) ).
cnf(c_0_56,plain,
( outputs(X1,bad)
| halts2(X2,X3)
| program(esk4_1(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_57,plain,
( outputs(X1,bad)
| halts2(X2,X3)
| ~ program(X2)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_58,plain,
( program(esk4_1(X1))
| program(esk10_1(X1))
| program(esk8_1(X1))
| ~ outputs(X1,good)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_34]) ).
cnf(c_0_59,negated_conjecture,
( outputs(esk3_0,good)
| program(esk10_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_27]) ).
cnf(c_0_60,negated_conjecture,
( program(esk8_1(esk3_0))
| ~ outputs(esk3_0,good)
| ~ halts2(esk10_1(esk3_0),X1)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_31]),c_0_27])]),c_0_52]),c_0_31]) ).
cnf(c_0_61,negated_conjecture,
( halts2(esk10_1(esk3_0),X1)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_31]),c_0_27])]) ).
cnf(c_0_62,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_31]),c_0_27])]),c_0_31]),c_0_55]) ).
cnf(c_0_63,negated_conjecture,
( outputs(X1,bad)
| halts2(esk3_0,X2)
| program(esk4_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_27]) ).
cnf(c_0_64,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(X1,X2)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_26]),c_0_27])]) ).
cnf(c_0_65,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk10_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_27])]) ).
cnf(c_0_66,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_55]) ).
cnf(c_0_67,plain,
( outputs(X1,bad)
| halts2(esk10_1(X2),X3)
| program(esk8_1(X2))
| program(esk6_1(X2))
| program(esk4_1(X1))
| ~ program(X1)
| ~ program(X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_34]) ).
cnf(c_0_68,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk3_0,X1)
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_63,c_0_27]) ).
cnf(c_0_69,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(X1,X2)
| program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk10_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_59]),c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| ~ outputs(esk3_0,good)
| ~ program(esk4_1(esk3_0))
| ~ program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_31]),c_0_27])]) ).
cnf(c_0_72,plain,
( program(esk4_1(X1))
| program(esk8_1(X1))
| ~ outputs(X1,good)
| ~ halts2(esk10_1(X1),X2)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_50]),c_0_44]),c_0_50]) ).
cnf(c_0_73,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk10_1(X1),X2)
| program(esk4_1(esk3_0))
| program(esk6_1(X1))
| program(esk8_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_27]) ).
cnf(c_0_74,negated_conjecture,
( outputs(esk3_0,bad)
| outputs(X1,good)
| program(esk4_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_68]),c_0_27])]) ).
cnf(c_0_75,negated_conjecture,
( halts2(esk10_1(X1),X2)
| program(esk8_1(esk3_0))
| program(esk10_1(esk3_0))
| program(esk8_1(X1))
| program(esk6_1(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_34]),c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk10_1(esk3_0))
| ~ program(esk6_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_59]),c_0_65]) ).
cnf(c_0_77,plain,
( program(esk4_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ program(esk8_1(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_50]),c_0_50]) ).
cnf(c_0_78,plain,
( program(esk10_1(X1))
| program(esk6_1(X1))
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_79,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk4_1(esk3_0))
| program(esk6_1(X1))
| program(esk8_1(X1))
| program(esk4_1(X1))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_75]),c_0_27])]),c_0_65]),c_0_59]),c_0_76]) ).
cnf(c_0_81,plain,
( program(esk4_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(esk8_1(X1))
| ~ program(esk6_1(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_50]) ).
cnf(c_0_82,plain,
( halts2(esk10_1(X1),X2)
| program(esk4_1(X1))
| program(esk6_1(X1))
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_50]),c_0_53]),c_0_50]) ).
cnf(c_0_83,plain,
( program(esk4_1(X1))
| program(esk10_1(X1))
| program(esk6_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_50]),c_0_34]) ).
cnf(c_0_84,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk4_1(esk3_0))
| program(esk4_1(X1))
| program(esk8_1(X1))
| program(esk6_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_27]) ).
cnf(c_0_85,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk10_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_65]) ).
cnf(c_0_86,plain,
( program(esk4_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(esk8_1(X1))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_50]),c_0_50]),c_0_81]) ).
cnf(c_0_87,plain,
( outputs(X1,good)
| program(esk6_1(X2))
| program(esk4_1(X2))
| program(esk4_1(X1))
| ~ outputs(X2,bad)
| ~ program(X1)
| ~ program(X3)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_82]),c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_27]) ).
cnf(c_0_89,negated_conjecture,
( outputs(X1,bad)
| halts2(esk10_1(esk3_0),X2)
| program(esk8_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_85]) ).
cnf(c_0_90,plain,
( halts2(esk10_1(X1),X2)
| program(esk4_1(X1))
| program(esk8_1(X1))
| program(esk6_1(X1))
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_91,plain,
( program(esk4_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(esk6_1(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_50]),c_0_50]),c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( outputs(X1,good)
| program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1)
| ~ program(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_27])]) ).
cnf(c_0_93,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk10_1(esk3_0),X1)
| program(esk4_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_89,c_0_27]) ).
cnf(c_0_94,negated_conjecture,
( outputs(esk3_0,good)
| outputs(esk3_0,bad)
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_27]) ).
cnf(c_0_95,plain,
( program(esk4_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_90]),c_0_91]),c_0_86]) ).
cnf(c_0_96,negated_conjecture,
( outputs(X1,good)
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk8_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_27]) ).
cnf(c_0_97,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_93]),c_0_27])]),c_0_94]) ).
cnf(c_0_98,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1)
| ~ program(X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk4_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_85]) ).
cnf(c_0_100,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_27])]) ).
cnf(c_0_101,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_100,c_0_85]) ).
cnf(c_0_102,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(X1,X2)
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_101]) ).
cnf(c_0_103,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_61]),c_0_70]),c_0_66]) ).
cnf(c_0_104,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk3_0,X1)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_27]) ).
cnf(c_0_105,negated_conjecture,
( halts2(esk3_0,X1)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk10_1(esk3_0),X1)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_85]) ).
cnf(c_0_107,negated_conjecture,
( halts2(esk3_0,X1)
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_85]) ).
cnf(c_0_108,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| ~ outputs(esk3_0,good)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_106]),c_0_101]) ).
cnf(c_0_109,negated_conjecture,
( outputs(esk3_0,good)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_107]),c_0_27])]),c_0_101]) ).
cnf(c_0_110,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_111,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_85]) ).
cnf(c_0_112,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_111]),c_0_101]) ).
cnf(c_0_113,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_85]) ).
cnf(c_0_114,negated_conjecture,
( outputs(X1,bad)
| halts2(esk8_1(esk3_0),X2)
| program(esk6_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_113]) ).
cnf(c_0_115,plain,
( program(esk10_1(X1))
| program(esk6_1(X1))
| ~ halts2(esk8_1(X1),esk9_1(X1))
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_116,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk8_1(esk3_0),X1)
| program(esk4_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_114,c_0_27]) ).
cnf(c_0_117,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk4_1(esk3_0))
| program(esk10_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_27])]) ).
cnf(c_0_118,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk10_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_117]),c_0_27])]) ).
cnf(c_0_119,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(X1,X2)
| program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_118]) ).
cnf(c_0_120,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk8_1(esk3_0),X1)
| program(esk6_1(esk3_0))
| program(esk10_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_119,c_0_113]) ).
cnf(c_0_121,plain,
( ~ program(X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,good)
| ~ halts2(esk10_1(X2),X1)
| ~ halts2(esk8_1(X2),esk9_1(X2))
| ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ outputs(X2,good)
| ~ program(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_122,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk8_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_31]),c_0_27])]) ).
cnf(c_0_123,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk10_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_120]),c_0_27])]) ).
cnf(c_0_124,plain,
( ~ program(X2)
| ~ program(X1)
| ~ outputs(X2,good)
| ~ halts3(X2,X1,X1)
| ~ halts2(esk10_1(X2),X1)
| ~ halts2(esk8_1(X2),esk9_1(X2))
| ~ halts3(X2,esk6_1(X2),esk7_1(X2)) ),
inference(cn,[status(thm)],[c_0_121]) ).
cnf(c_0_125,plain,
( program(esk6_1(X2))
| ~ program(X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,good)
| ~ halts2(esk10_1(X2),X1)
| ~ halts2(esk8_1(X2),esk9_1(X2))
| ~ program(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_126,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk10_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_113]),c_0_118]) ).
cnf(c_0_127,plain,
( program(esk4_1(X1))
| ~ outputs(X1,good)
| ~ halts2(esk8_1(X1),esk9_1(X1))
| ~ halts2(esk10_1(X1),X2)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_50]),c_0_125]),c_0_50]) ).
cnf(c_0_128,negated_conjecture,
( outputs(X1,bad)
| halts2(esk10_1(esk3_0),X2)
| program(esk6_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| ~ halts2(esk10_1(esk3_0),X1)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_116]),c_0_27])]),c_0_94]) ).
cnf(c_0_130,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk10_1(esk3_0),X1)
| program(esk4_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_128,c_0_27]) ).
cnf(c_0_131,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk4_1(esk3_0))
| program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_132,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_131,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( outputs(X1,good)
| program(esk4_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1)
| ~ program(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_132]),c_0_27])]) ).
cnf(c_0_134,negated_conjecture,
( outputs(X1,good)
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_126]) ).
cnf(c_0_135,plain,
( outputs(esk10_1(X1),bad)
| program(esk6_1(X1))
| ~ program(X2)
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_136,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1)
| ~ program(X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_134]) ).
cnf(c_0_137,plain,
( program(esk10_1(X1))
| halts2(esk6_1(X1),esk7_1(X1))
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_138,plain,
( program(esk6_1(X1))
| outputs(esk10_1(X1),bad)
| ~ program(X2)
| ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1)) ),
inference(cn,[status(thm)],[c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_132]),c_0_27])]) ).
cnf(c_0_140,plain,
( halts2(esk6_1(X1),esk7_1(X1))
| program(esk4_1(X1))
| program(esk10_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_50]),c_0_33]) ).
cnf(c_0_141,negated_conjecture,
( outputs(esk10_1(esk3_0),bad)
| program(esk6_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_31]),c_0_27])]),c_0_103]),c_0_31]) ).
cnf(c_0_142,negated_conjecture,
( halts2(esk10_1(esk3_0),X1)
| program(esk6_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_31]),c_0_27])]),c_0_103]),c_0_31]) ).
cnf(c_0_143,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_126]) ).
cnf(c_0_144,negated_conjecture,
( outputs(esk3_0,good)
| program(esk10_1(X1))
| program(esk4_1(X1))
| ~ outputs(X1,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_140]),c_0_83]) ).
cnf(c_0_145,negated_conjecture,
( outputs(esk10_1(esk3_0),bad)
| program(esk6_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_141,c_0_27]) ).
cnf(c_0_146,negated_conjecture,
( program(esk6_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk10_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_142]),c_0_66]) ).
cnf(c_0_147,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(X1,X2)
| program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_143]) ).
cnf(c_0_148,negated_conjecture,
( program(esk6_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk10_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_146]),c_0_66]) ).
cnf(c_0_149,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk3_0,X1)
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_147,c_0_27]) ).
cnf(c_0_150,negated_conjecture,
( halts2(esk3_0,X1)
| program(esk6_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_126]),c_0_143]) ).
cnf(c_0_151,plain,
( halts2(esk10_1(X1),X2)
| halts2(esk6_1(X1),esk7_1(X1))
| ~ program(X2)
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_152,negated_conjecture,
( outputs(esk3_0,good)
| program(esk6_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_150]),c_0_27])]),c_0_143]) ).
cnf(c_0_153,plain,
( halts2(esk10_1(X1),X2)
| halts2(esk6_1(X1),esk7_1(X1))
| ~ program(X2)
| ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1)) ),
inference(cn,[status(thm)],[c_0_151]) ).
cnf(c_0_154,plain,
( halts2(esk10_1(X1),X2)
| program(esk8_1(X1))
| halts2(esk6_1(X1),esk7_1(X1))
| ~ program(X2)
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_155,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk8_1(esk3_0),X1)
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_147,c_0_113]) ).
cnf(c_0_156,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk10_1(esk3_0),X1)
| program(esk6_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_147,c_0_126]) ).
cnf(c_0_157,negated_conjecture,
( program(esk6_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_152]),c_0_143]) ).
cnf(c_0_158,plain,
( halts2(esk6_1(X1),esk7_1(X1))
| halts2(esk10_1(X1),X2)
| program(esk4_1(X1))
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_50]),c_0_154]),c_0_50]) ).
cnf(c_0_159,negated_conjecture,
( program(esk6_1(esk3_0))
| ~ halts3(esk3_0,X1,X1)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_155]),c_0_27])]),c_0_156]),c_0_152]),c_0_157]) ).
cnf(c_0_160,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),X1)
| program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_99]),c_0_27])]) ).
cnf(c_0_161,negated_conjecture,
( program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_31]),c_0_143]) ).
cnf(c_0_162,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| program(esk4_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_160,c_0_27]) ).
cnf(c_0_163,negated_conjecture,
program(esk6_1(esk3_0)),
inference(spm,[status(thm)],[c_0_161,c_0_126]) ).
cnf(c_0_164,negated_conjecture,
( outputs(X1,good)
| halts2(esk10_1(esk3_0),esk3_0)
| program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_162]),c_0_163])]) ).
cnf(c_0_165,negated_conjecture,
( outputs(esk3_0,good)
| halts2(esk10_1(esk3_0),esk3_0)
| program(esk4_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_27]) ).
cnf(c_0_166,negated_conjecture,
( outputs(esk3_0,good)
| outputs(X1,good)
| program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_165]),c_0_85]) ).
cnf(c_0_167,negated_conjecture,
( outputs(esk3_0,good)
| program(esk4_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_166,c_0_27]) ).
cnf(c_0_168,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_167]),c_0_27])]),c_0_99]) ).
cnf(c_0_169,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_168,c_0_85]) ).
cnf(c_0_170,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(X1,X2)
| program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_169]) ).
cnf(c_0_171,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk10_1(esk3_0),X1)
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_170,c_0_85]) ).
cnf(c_0_172,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk6_1(esk3_0),X1)
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_170,c_0_163]) ).
cnf(c_0_173,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk8_1(esk3_0))
| ~ outputs(esk3_0,good)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_171]),c_0_169]) ).
cnf(c_0_174,negated_conjecture,
( outputs(esk3_0,bad)
| outputs(esk3_0,good)
| program(esk8_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_172]),c_0_163])]),c_0_169]) ).
cnf(c_0_175,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),X1)
| program(esk8_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_31]),c_0_27])]) ).
cnf(c_0_176,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_177,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),X1)
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_31]),c_0_27])]),c_0_175]),c_0_31]) ).
cnf(c_0_178,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_176,c_0_85]) ).
cnf(c_0_179,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),X1)
| program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_169]) ).
cnf(c_0_180,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| program(esk8_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_179,c_0_27]) ).
cnf(c_0_181,plain,
( program(esk10_1(X1))
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,good)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_182,plain,
( outputs(X1,good)
| program(esk10_1(X2))
| program(esk4_1(X2))
| program(esk4_1(X1))
| ~ outputs(X2,bad)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_140]),c_0_83]) ).
cnf(c_0_183,negated_conjecture,
( outputs(esk3_0,good)
| halts2(esk10_1(esk3_0),esk3_0)
| program(esk8_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_180]),c_0_163])]),c_0_169]) ).
cnf(c_0_184,plain,
( program(esk4_1(X1))
| program(esk10_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_50]),c_0_49]) ).
cnf(c_0_185,negated_conjecture,
( outputs(X1,good)
| halts2(esk3_0,X2)
| program(esk4_1(esk3_0))
| program(esk10_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_68]),c_0_27])]) ).
cnf(c_0_186,negated_conjecture,
( outputs(esk3_0,good)
| program(esk8_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_183]),c_0_85]),c_0_169]) ).
cnf(c_0_187,plain,
( program(esk10_1(X1))
| program(esk4_1(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_50]),c_0_83]) ).
cnf(c_0_188,negated_conjecture,
( outputs(esk3_0,good)
| halts2(esk3_0,X1)
| program(esk10_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_185,c_0_27]) ).
cnf(c_0_189,negated_conjecture,
( program(esk8_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_186]),c_0_169]),c_0_178]) ).
cnf(c_0_190,negated_conjecture,
( halts2(esk3_0,X1)
| program(esk4_1(esk3_0))
| program(esk10_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_27])]),c_0_68]) ).
cnf(c_0_191,negated_conjecture,
program(esk8_1(esk3_0)),
inference(spm,[status(thm)],[c_0_189,c_0_85]) ).
cnf(c_0_192,negated_conjecture,
( outputs(X1,good)
| program(esk10_1(esk3_0))
| program(esk4_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_190]),c_0_27])]) ).
cnf(c_0_193,plain,
( program(esk10_1(X1))
| ~ halts2(esk8_1(X1),esk9_1(X1))
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,good)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_194,negated_conjecture,
( outputs(X1,bad)
| halts2(esk8_1(esk3_0),X2)
| program(esk4_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_191]) ).
cnf(c_0_195,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk10_1(esk3_0))
| program(esk4_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1)
| ~ program(X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_192]) ).
cnf(c_0_196,plain,
( program(esk4_1(X1))
| program(esk10_1(X1))
| ~ outputs(X1,good)
| ~ halts2(esk8_1(X1),esk9_1(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_50]),c_0_115]) ).
cnf(c_0_197,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk8_1(esk3_0),X1)
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_194,c_0_27]) ).
cnf(c_0_198,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| program(esk10_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk8_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_31]),c_0_27])]) ).
cnf(c_0_199,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk10_1(esk3_0))
| program(esk4_1(X1))
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_192]),c_0_195]) ).
cnf(c_0_200,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk10_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_27])]),c_0_94]) ).
cnf(c_0_201,negated_conjecture,
( outputs(esk3_0,good)
| program(esk10_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk6_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_198]),c_0_76]) ).
cnf(c_0_202,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_27])]) ).
cnf(c_0_203,negated_conjecture,
( program(esk10_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_201]) ).
cnf(c_0_204,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(X1,X2)
| program(esk10_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_202]) ).
cnf(c_0_205,negated_conjecture,
( program(esk10_1(esk3_0))
| ~ outputs(esk3_0,bad)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_163])]) ).
cnf(c_0_206,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk3_0,X1)
| program(esk10_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_204,c_0_27]) ).
cnf(c_0_207,negated_conjecture,
( program(esk10_1(esk3_0))
| ~ outputs(esk3_0,good)
| ~ halts2(esk8_1(esk3_0),esk9_1(esk3_0))
| ~ program(esk4_1(esk3_0))
| ~ program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_31]),c_0_27])]) ).
cnf(c_0_208,negated_conjecture,
( halts2(esk3_0,X1)
| program(esk10_1(esk3_0))
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_202]) ).
cnf(c_0_209,negated_conjecture,
( program(esk10_1(esk3_0))
| ~ outputs(esk3_0,good)
| ~ halts2(esk8_1(esk3_0),esk9_1(esk3_0))
| ~ program(esk4_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_163])]) ).
cnf(c_0_210,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk8_1(esk3_0),X1)
| program(esk10_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_204,c_0_191]) ).
cnf(c_0_211,negated_conjecture,
( halts2(esk3_0,X1)
| program(esk10_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_208,c_0_191]) ).
cnf(c_0_212,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk10_1(esk3_0))
| ~ outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_202]) ).
cnf(c_0_213,negated_conjecture,
( outputs(esk3_0,good)
| program(esk10_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_211]),c_0_27])]),c_0_202]) ).
cnf(c_0_214,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk10_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_215,negated_conjecture,
( program(esk10_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_214]),c_0_202]) ).
cnf(c_0_216,negated_conjecture,
program(esk10_1(esk3_0)),
inference(spm,[status(thm)],[c_0_215,c_0_191]) ).
cnf(c_0_217,negated_conjecture,
( outputs(X1,bad)
| halts2(esk10_1(esk3_0),X2)
| program(esk4_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_216]) ).
cnf(c_0_218,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk4_1(esk3_0))
| ~ halts2(esk10_1(esk3_0),X1)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_197]),c_0_27])]),c_0_94]) ).
cnf(c_0_219,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk10_1(esk3_0),X1)
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_217,c_0_27]) ).
cnf(c_0_220,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_221,negated_conjecture,
( outputs(esk3_0,bad)
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_220,c_0_216]) ).
cnf(c_0_222,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),X1)
| program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_221]),c_0_27])]) ).
cnf(c_0_223,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_222,c_0_27]) ).
cnf(c_0_224,negated_conjecture,
( outputs(X1,good)
| halts2(esk10_1(esk3_0),esk3_0)
| program(esk4_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_223]),c_0_163])]) ).
cnf(c_0_225,negated_conjecture,
( outputs(esk3_0,good)
| halts2(esk10_1(esk3_0),esk3_0)
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_224,c_0_27]) ).
cnf(c_0_226,negated_conjecture,
( outputs(esk3_0,good)
| outputs(X1,good)
| program(esk4_1(esk3_0))
| program(esk4_1(X1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_225]),c_0_216])]) ).
cnf(c_0_227,negated_conjecture,
( outputs(esk3_0,good)
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_226,c_0_27]) ).
cnf(c_0_228,negated_conjecture,
( program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_227]),c_0_27])]),c_0_221]) ).
cnf(c_0_229,negated_conjecture,
program(esk4_1(esk3_0)),
inference(spm,[status(thm)],[c_0_228,c_0_216]) ).
cnf(c_0_230,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ halts2(esk8_1(esk3_0),esk9_1(esk3_0))
| ~ halts2(esk10_1(esk3_0),X1)
| ~ program(esk4_1(esk3_0))
| ~ program(esk6_1(esk3_0))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_31]),c_0_27])]),c_0_31]) ).
cnf(c_0_231,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(X1,X2)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_229])]) ).
cnf(c_0_232,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ halts2(esk8_1(esk3_0),esk9_1(esk3_0))
| ~ halts2(esk10_1(esk3_0),X1)
| ~ program(esk4_1(esk3_0))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_163])]) ).
cnf(c_0_233,negated_conjecture,
( outputs(esk3_0,good)
| ~ halts2(X1,X2)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_229])]) ).
cnf(c_0_234,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk10_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_216]) ).
cnf(c_0_235,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ halts2(esk8_1(esk3_0),esk9_1(esk3_0))
| ~ halts2(esk10_1(esk3_0),X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_229])]) ).
cnf(c_0_236,negated_conjecture,
( outputs(esk3_0,bad)
| halts2(esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_191]) ).
cnf(c_0_237,negated_conjecture,
( outputs(esk3_0,bad)
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_216])]) ).
cnf(c_0_238,negated_conjecture,
( outputs(esk3_0,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_234]),c_0_237]) ).
cnf(c_0_239,negated_conjecture,
outputs(esk3_0,bad),
inference(spm,[status(thm)],[c_0_238,c_0_216]) ).
cnf(c_0_240,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_229])]),c_0_239])]) ).
cnf(c_0_241,negated_conjecture,
( halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_240,c_0_27]) ).
cnf(c_0_242,negated_conjecture,
( outputs(esk6_1(esk3_0),good)
| program(esk4_1(esk6_1(esk3_0)))
| program(esk8_1(X1))
| program(esk10_1(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_163]) ).
cnf(c_0_243,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ outputs(esk3_0,bad)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_229])]) ).
cnf(c_0_244,negated_conjecture,
( outputs(esk3_0,good)
| halts2(esk10_1(esk3_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_241]),c_0_163])]) ).
cnf(c_0_245,negated_conjecture,
( outputs(esk6_1(esk3_0),good)
| program(esk10_1(esk6_1(esk3_0)))
| program(esk8_1(esk6_1(esk3_0)))
| program(esk4_1(esk6_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_242,c_0_163]) ).
cnf(c_0_246,negated_conjecture,
( ~ outputs(esk3_0,good)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_239])]) ).
cnf(c_0_247,negated_conjecture,
outputs(esk3_0,good),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_244]),c_0_216])]) ).
cnf(c_0_248,negated_conjecture,
( program(esk8_1(esk6_1(esk3_0)))
| program(esk10_1(esk6_1(esk3_0)))
| program(esk4_1(esk6_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_245]),c_0_163])]) ).
cnf(c_0_249,negated_conjecture,
~ program(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_247])]) ).
cnf(c_0_250,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_248,c_0_249]),c_0_249]),c_0_249]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM003+3 : TPTP v9.2.1. Released v2.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 16:19:35 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 1.73/1.87 % Version : CSE_E---1.7
% 1.73/1.87 % Problem : theBenchmark.p
% 1.73/1.87 % SZS status Theorem for theBenchmark.p
% 1.73/1.87 % SZS output start CNFRefutation
% See solution above
% 1.73/1.88 % Total time : 1.372s
%------------------------------------------------------------------------------