%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : COM003+3 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:12:07 PM UTC 2026
% Result : Theorem 2.18s 0.77s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
~ ? [X6] :
( ! [X7] :
( program(X7)
=> ! [X8] : decides(X6,X7,X8) )
& algorithm(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(p1,axiom,
( ? [X1] :
( ! [X2] :
( program(X2)
=> ! [X3] : decides(X1,X2,X3) )
& algorithm(X1) )
=> ? [X4] :
( ! [X2] :
( program(X2)
=> ! [X3] : decides(X4,X2,X3) )
& program(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(p2,axiom,
! [X4] :
( ( ! [X2] :
( program(X2)
=> ! [X3] : decides(X4,X2,X3) )
& program(X4) )
=> ! [X2,X3] :
( ( ( ~ halts2(X2,X3)
& program(X2) )
=> ( outputs(X4,bad)
& halts3(X4,X2,X3) ) )
& ( ( halts2(X2,X3)
& program(X2) )
=> ( outputs(X4,good)
& halts3(X4,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(p3,axiom,
! [X4] :
( ( ! [X2,X3] :
( ( ( ~ halts2(X2,X3)
& program(X2) )
=> ( outputs(X4,bad)
& halts3(X4,X2,X3) ) )
& ( ( halts2(X2,X3)
& program(X2) )
=> ( outputs(X4,good)
& halts3(X4,X2,X3) ) ) )
& program(X4) )
=> ? [X5] :
( ! [X2] :
( ( ( outputs(X4,bad)
& halts3(X4,X2,X2)
& program(X2) )
=> ( outputs(X5,bad)
& halts2(X5,X2) ) )
& ( ( outputs(X4,good)
& halts3(X4,X2,X2)
& program(X2) )
=> ~ halts2(X5,X2) ) )
& program(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X6] :
( ! [X7] :
( program(X7)
=> ! [X8] : decides(X6,X7,X8) )
& algorithm(X6) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_5,plain,
! [X9,X13,X14] :
( ( ~ algorithm(X9)
| ~ decides(X9,esk1_1(X9),esk2_1(X9))
| decides(esk3_0,X13,X14)
| ~ program(X13) )
& ( ~ algorithm(X9)
| ~ decides(X9,esk1_1(X9),esk2_1(X9))
| program(esk3_0) )
& ( ~ algorithm(X9)
| program(esk1_1(X9))
| decides(esk3_0,X13,X14)
| ~ program(X13) )
& ( ~ algorithm(X9)
| program(esk1_1(X9))
| program(esk3_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_6,negated_conjecture,
! [X31,X32] :
( ( decides(esk11_0,X31,X32)
| ~ program(X31) )
& algorithm(esk11_0) ),
inference(fof_nnf,[status(thm)],[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_7,plain,
! [X4] :
( ( ! [X2] :
( program(X2)
=> ! [X3] : decides(X4,X2,X3) )
& program(X4) )
=> ! [X2,X3] :
( ( ( ~ halts2(X2,X3)
& program(X2) )
=> ( outputs(X4,bad)
& halts3(X4,X2,X3) ) )
& ( ( halts2(X2,X3)
& program(X2) )
=> ( outputs(X4,good)
& halts3(X4,X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[p2]) ).
cnf(c_0_8,plain,
( ~ algorithm(X1)
| ~ decides(X1,esk1_1(X1),esk2_1(X1))
| program(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( ~ program(X1)
| decides(esk11_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
algorithm(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,plain,
! [X15,X18,X19,X20,X21] :
( ( ~ program(X15)
| ~ decides(X15,esk4_1(X15),esk5_1(X15))
| halts2(X20,X21)
| ~ program(X20)
| outputs(X15,bad) )
& ( ~ program(X15)
| ~ decides(X15,esk4_1(X15),esk5_1(X15))
| halts2(X20,X21)
| ~ program(X20)
| halts3(X15,X20,X21) )
& ( ~ program(X15)
| ~ decides(X15,esk4_1(X15),esk5_1(X15))
| ~ halts2(X18,X19)
| ~ program(X18)
| outputs(X15,good) )
& ( ~ program(X15)
| ~ decides(X15,esk4_1(X15),esk5_1(X15))
| ~ halts2(X18,X19)
| ~ program(X18)
| halts3(X15,X18,X19) )
& ( ~ program(X15)
| program(esk4_1(X15))
| halts2(X20,X21)
| ~ program(X20)
| outputs(X15,bad) )
& ( ~ program(X15)
| program(esk4_1(X15))
| halts2(X20,X21)
| ~ program(X20)
| halts3(X15,X20,X21) )
& ( ~ program(X15)
| program(esk4_1(X15))
| ~ halts2(X18,X19)
| ~ program(X18)
| outputs(X15,good) )
& ( ~ program(X15)
| program(esk4_1(X15))
| ~ halts2(X18,X19)
| ~ program(X18)
| halts3(X15,X18,X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_7])])])])])])]) ).
cnf(c_0_12,plain,
( ~ algorithm(X3)
| ~ program(X1)
| program(esk1_1(X3))
| decides(esk3_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( ~ program(esk1_1(esk11_0))
| program(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_14,plain,
( ~ algorithm(X1)
| program(esk1_1(X1))
| program(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( ~ program(X1)
| ~ halts2(X2,X3)
| ~ program(X2)
| program(esk4_1(X1))
| halts3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( ~ program(X1)
| ~ program(X2)
| program(esk4_1(X1))
| halts2(X2,X3)
| halts3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( ~ algorithm(X3)
| ~ decides(X3,esk1_1(X3),esk2_1(X3))
| ~ program(X1)
| decides(esk3_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( ~ program(X1)
| program(esk1_1(esk11_0))
| decides(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_19,plain,
( ~ program(X1)
| ~ program(X2)
| program(esk4_1(X1))
| halts2(X2,X3)
| outputs(X1,bad) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
program(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_10])]) ).
cnf(c_0_21,plain,
( ~ program(X1)
| ~ program(X2)
| program(esk4_1(X1))
| halts3(X1,X2,X3) ),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( ~ program(X1)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ program(X2)
| halts2(X2,X3)
| outputs(X1,bad) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,negated_conjecture,
( ~ program(X1)
| decides(esk3_0,X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_9]),c_0_10])]),c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts2(esk3_0,X2)
| outputs(X1,bad) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( ~ program(X1)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ program(X2)
| halts2(X2,X3)
| halts3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts3(X1,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( ~ program(X1)
| ~ program(esk4_1(esk3_0))
| halts2(X1,X2)
| outputs(esk3_0,bad) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20])]) ).
cnf(c_0_28,negated_conjecture,
( program(esk4_1(esk3_0))
| halts2(esk3_0,X1)
| outputs(esk3_0,bad) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_29,plain,
( ~ program(X1)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ halts2(X2,X3)
| ~ program(X2)
| outputs(X1,good) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,negated_conjecture,
( ~ program(X1)
| ~ program(esk4_1(esk3_0))
| halts2(X1,X2)
| halts3(esk3_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_20])]) ).
cnf(c_0_31,negated_conjecture,
( program(esk4_1(esk3_0))
| halts3(esk3_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_32,negated_conjecture,
( ~ program(X2)
| halts2(X2,X3)
| halts2(esk3_0,X1)
| outputs(esk3_0,bad) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( ~ program(X1)
| ~ halts2(X2,X3)
| ~ program(X2)
| program(esk4_1(X1))
| outputs(X1,good) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,negated_conjecture,
( ~ program(X1)
| ~ program(esk4_1(esk3_0))
| ~ halts2(X1,X2)
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_23]),c_0_20])]) ).
cnf(c_0_35,negated_conjecture,
( ~ program(X2)
| halts2(X2,X3)
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( halts2(esk3_0,X2)
| halts2(esk3_0,X1)
| outputs(esk3_0,bad) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]) ).
cnf(c_0_37,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk4_1(esk3_0))
| outputs(X1,good)
| outputs(esk3_0,bad) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_20])]) ).
fof(c_0_38,plain,
! [X4] :
( ( ! [X2,X3] :
( ( ( ~ halts2(X2,X3)
& program(X2) )
=> ( outputs(X4,bad)
& halts3(X4,X2,X3) ) )
& ( ( halts2(X2,X3)
& program(X2) )
=> ( outputs(X4,good)
& halts3(X4,X2,X3) ) ) )
& program(X4) )
=> ? [X5] :
( ! [X2] :
( ( ( outputs(X4,bad)
& halts3(X4,X2,X2)
& program(X2) )
=> ( outputs(X5,bad)
& halts2(X5,X2) ) )
& ( ( outputs(X4,good)
& halts3(X4,X2,X2)
& program(X2) )
=> ~ halts2(X5,X2) ) )
& program(X5) ) ),
inference(fof_simplification,[status(thm)],[p3]) ).
cnf(c_0_39,negated_conjecture,
( ~ program(X2)
| ~ halts2(X2,X3)
| halts3(esk3_0,esk3_0,X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( halts2(esk3_0,X1)
| halts3(esk3_0,esk3_0,X2)
| halts3(esk3_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_20]) ).
cnf(c_0_41,negated_conjecture,
( halts2(esk3_0,X1)
| outputs(esk3_0,bad) ),
inference(ef,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( program(esk4_1(esk3_0))
| outputs(esk3_0,bad)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
fof(c_0_43,plain,
! [X22,X28,X29] :
( ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| program(esk10_1(X22)) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| program(esk10_1(X22)) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| program(esk8_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| program(esk8_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| program(esk8_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| ~ outputs(X22,good)
| ~ halts3(X22,esk6_1(X22),esk7_1(X22))
| program(esk8_1(X22))
| program(esk10_1(X22)) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| program(esk10_1(X22)) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| program(esk10_1(X22)) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| program(esk8_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| program(esk8_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| program(esk8_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| halts2(esk6_1(X22),esk7_1(X22))
| program(esk8_1(X22))
| program(esk10_1(X22)) )
& ( ~ program(X22)
| program(esk6_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| program(esk6_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| program(esk6_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| program(esk6_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,esk8_1(X22),esk9_1(X22))
| program(esk10_1(X22)) )
& ( ~ program(X22)
| program(esk6_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| program(esk6_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| program(esk6_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| program(esk6_1(X22))
| ~ halts2(esk8_1(X22),esk9_1(X22))
| program(esk10_1(X22)) )
& ( ~ program(X22)
| program(esk6_1(X22))
| program(esk8_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| outputs(esk10_1(X22),bad) )
& ( ~ program(X22)
| program(esk6_1(X22))
| program(esk8_1(X22))
| ~ outputs(X22,bad)
| ~ halts3(X22,X29,X29)
| ~ program(X29)
| halts2(esk10_1(X22),X29) )
& ( ~ program(X22)
| program(esk6_1(X22))
| program(esk8_1(X22))
| ~ halts2(esk10_1(X22),X28)
| ~ outputs(X22,good)
| ~ halts3(X22,X28,X28)
| ~ program(X28) )
& ( ~ program(X22)
| program(esk6_1(X22))
| program(esk8_1(X22))
| program(esk10_1(X22)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_38])])])])])])]) ).
cnf(c_0_44,negated_conjecture,
( halts3(esk3_0,esk3_0,X3)
| halts3(esk3_0,esk3_0,X2)
| halts3(esk3_0,esk3_0,X1)
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_20])]) ).
cnf(c_0_45,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| outputs(X1,good)
| outputs(esk3_0,bad) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_41]),c_0_20])]) ).
cnf(c_0_46,negated_conjecture,
( ~ program(X1)
| halts2(X1,X2)
| outputs(esk3_0,bad)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_27,c_0_42]) ).
cnf(c_0_47,plain,
( ~ program(X1)
| halts2(esk6_1(X1),esk7_1(X1))
| program(esk8_1(X1))
| program(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,plain,
( ~ program(X1)
| program(esk6_1(X1))
| program(esk8_1(X1))
| program(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( ~ program(X1)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| ~ halts2(X2,X3)
| ~ program(X2)
| halts3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_50,negated_conjecture,
( halts3(esk3_0,esk3_0,X2)
| halts3(esk3_0,esk3_0,X1)
| outputs(esk3_0,good) ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( ~ program(X1)
| outputs(esk3_0,good)
| outputs(esk3_0,bad) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_20])]),c_0_46]) ).
cnf(c_0_52,plain,
( ~ program(X2)
| ~ program(X1)
| program(esk4_1(X1))
| program(esk10_1(X2))
| program(esk8_1(X2))
| outputs(X1,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_47]),c_0_48]) ).
cnf(c_0_53,plain,
( ~ program(X1)
| ~ program(X2)
| ~ decides(X1,esk4_1(X1),esk5_1(X1))
| halts3(X1,X2,X3) ),
inference(csr,[status(thm)],[c_0_49,c_0_25]) ).
cnf(c_0_54,plain,
( ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ program(X2)
| program(esk6_1(X1))
| program(esk8_1(X1))
| halts2(esk10_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,negated_conjecture,
( halts3(esk3_0,esk3_0,X1)
| outputs(esk3_0,good) ),
inference(ef,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( outputs(esk3_0,bad)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_51,c_0_42]) ).
cnf(c_0_57,negated_conjecture,
( ~ program(X1)
| program(esk8_1(X1))
| program(esk10_1(X1))
| program(esk4_1(esk3_0))
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_52,c_0_20]) ).
cnf(c_0_58,negated_conjecture,
( ~ program(X1)
| ~ program(esk4_1(esk3_0))
| halts3(esk3_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_23]),c_0_20])]) ).
cnf(c_0_59,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_20])]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_57,c_0_20]) ).
cnf(c_0_61,negated_conjecture,
( ~ program(X2)
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_31]) ).
cnf(c_0_62,negated_conjecture,
( ~ program(X1)
| ~ program(esk10_1(esk3_0))
| program(esk4_1(X1))
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| outputs(X1,good)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_33,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( ~ program(X1)
| ~ halts2(X1,X2)
| program(esk8_1(esk3_0))
| program(esk10_1(esk3_0))
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_34,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( halts3(esk3_0,esk3_0,X2)
| halts3(esk3_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_20]) ).
cnf(c_0_65,negated_conjecture,
( ~ program(X1)
| ~ halts2(X1,X2)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_62]),c_0_20])]),c_0_63]) ).
cnf(c_0_66,plain,
( ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ program(X2)
| halts2(esk6_1(X1),esk7_1(X1))
| program(esk8_1(X1))
| halts2(esk10_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_67,negated_conjecture,
halts3(esk3_0,esk3_0,X1),
inference(ef,[status(thm)],[c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( ~ program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( ~ outputs(esk3_0,bad)
| program(esk8_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| halts2(esk6_1(esk3_0),esk7_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_20])]) ).
cnf(c_0_70,negated_conjecture,
( ~ outputs(esk3_0,bad)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_67]),c_0_20])]) ).
cnf(c_0_71,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_48]),c_0_20])]) ).
cnf(c_0_72,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk8_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| outputs(X1,good) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_69]),c_0_70]),c_0_45]) ).
cnf(c_0_73,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk6_1(esk3_0))
| halts3(X1,esk8_1(esk3_0),X2)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_21,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( ~ program(X1)
| ~ halts2(X1,X2)
| program(esk8_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_72]),c_0_20])]) ).
cnf(c_0_75,negated_conjecture,
( ~ program(X1)
| program(esk10_1(X1))
| program(esk8_1(X1))
| program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_47]),c_0_48]) ).
cnf(c_0_76,plain,
( ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| program(esk6_1(X1))
| program(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_77,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_73,c_0_20]) ).
cnf(c_0_78,negated_conjecture,
( program(esk8_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_69]),c_0_70]),c_0_56]) ).
cnf(c_0_79,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk10_1(esk3_0))
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_75,c_0_20]) ).
cnf(c_0_80,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_20])]),c_0_56]) ).
cnf(c_0_81,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk8_1(esk3_0))
| outputs(X1,good)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_78]),c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( ~ program(X1)
| program(esk6_1(esk3_0))
| program(esk10_1(esk3_0))
| halts3(esk3_0,X1,X2)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_58,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
( ~ program(X1)
| ~ halts2(X1,X2)
| program(esk8_1(esk3_0))
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_81]),c_0_20])]) ).
cnf(c_0_84,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_82,c_0_71]) ).
cnf(c_0_85,negated_conjecture,
( program(esk8_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_78]),c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( ~ program(X2)
| program(esk6_1(esk3_0))
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_58,c_0_77]) ).
cnf(c_0_87,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_84]),c_0_20])]),c_0_56]) ).
cnf(c_0_88,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts3(X1,esk8_1(esk3_0),X2)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_21,c_0_85]) ).
cnf(c_0_89,plain,
( ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ program(X2)
| program(esk6_1(X1))
| halts2(esk10_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_90,negated_conjecture,
( program(esk6_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X2)
| halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_86,c_0_71]) ).
cnf(c_0_91,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk6_1(esk3_0))
| halts3(X1,esk10_1(esk3_0),X2)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_21,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( program(esk4_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_88,c_0_20]) ).
cnf(c_0_93,plain,
( ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ program(X1)
| ~ program(X2)
| halts2(esk10_1(X1),X2)
| program(esk6_1(X1)) ),
inference(cn,[status(thm)],[c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( program(esk6_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(ef,[status(thm)],[c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| halts3(esk3_0,esk10_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_91,c_0_20]) ).
cnf(c_0_96,negated_conjecture,
( ~ program(X2)
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_58,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1)
| program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_20])]),c_0_56]) ).
cnf(c_0_98,negated_conjecture,
( ~ program(X2)
| program(esk6_1(esk3_0))
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk10_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_58,c_0_95]) ).
cnf(c_0_99,plain,
( ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ program(X2)
| halts2(esk6_1(X1),esk7_1(X1))
| halts2(esk10_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_100,negated_conjecture,
( halts3(esk3_0,esk8_1(esk3_0),X2)
| halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_96,c_0_85]) ).
cnf(c_0_101,negated_conjecture,
( program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),esk3_0)
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_67]),c_0_20])]) ).
cnf(c_0_102,negated_conjecture,
( program(esk6_1(esk3_0))
| halts3(esk3_0,esk10_1(esk3_0),X2)
| halts3(esk3_0,esk10_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(spm,[status(thm)],[c_0_98,c_0_87]) ).
cnf(c_0_103,plain,
( ~ program(X2)
| ~ program(X1)
| program(esk4_1(X1))
| program(esk8_1(X2))
| program(esk6_1(X2))
| halts3(X1,esk10_1(X2),X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_48]) ).
cnf(c_0_104,plain,
( ~ program(X2)
| ~ program(X1)
| program(esk4_1(X1))
| program(esk8_1(X2))
| program(esk6_1(X2))
| halts2(esk10_1(X2),X3)
| outputs(X1,bad) ),
inference(spm,[status(thm)],[c_0_19,c_0_48]) ).
cnf(c_0_105,plain,
( ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ program(X1)
| ~ program(X2)
| halts2(esk6_1(X1),esk7_1(X1))
| halts2(esk10_1(X1),X2) ),
inference(cn,[status(thm)],[c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( halts3(esk3_0,esk8_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(ef,[status(thm)],[c_0_100]) ).
cnf(c_0_107,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk6_1(esk3_0))
| outputs(X1,good)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_101]),c_0_87]) ).
cnf(c_0_108,negated_conjecture,
( program(esk6_1(esk3_0))
| halts3(esk3_0,esk10_1(esk3_0),X1)
| outputs(esk3_0,good) ),
inference(ef,[status(thm)],[c_0_102]) ).
cnf(c_0_109,negated_conjecture,
( ~ program(X1)
| program(esk6_1(X1))
| program(esk8_1(X1))
| program(esk4_1(esk3_0))
| halts3(esk3_0,esk10_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_20]) ).
cnf(c_0_110,negated_conjecture,
( ~ program(X1)
| program(esk6_1(X1))
| program(esk8_1(X1))
| program(esk4_1(esk3_0))
| halts2(esk10_1(X1),X2)
| outputs(esk3_0,bad) ),
inference(spm,[status(thm)],[c_0_104,c_0_20]) ).
cnf(c_0_111,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1)
| halts2(esk10_1(esk3_0),X1)
| halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_20])]),c_0_56]) ).
cnf(c_0_112,negated_conjecture,
( ~ program(X1)
| ~ halts2(X1,X2)
| program(esk6_1(esk3_0))
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_107]),c_0_20])]) ).
cnf(c_0_113,negated_conjecture,
( program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),esk10_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_108]),c_0_87]) ).
cnf(c_0_114,plain,
( ~ program(X1)
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| halts2(esk6_1(X1),esk7_1(X1))
| program(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_115,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| halts3(esk3_0,esk10_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_20]) ).
cnf(c_0_116,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),X1)
| outputs(esk3_0,bad) ),
inference(spm,[status(thm)],[c_0_110,c_0_20]) ).
cnf(c_0_117,negated_conjecture,
( halts2(esk10_1(esk3_0),esk3_0)
| halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_67]),c_0_20])]) ).
cnf(c_0_118,negated_conjecture,
( program(esk6_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_87]) ).
cnf(c_0_119,negated_conjecture,
( program(esk10_1(esk3_0))
| halts2(esk6_1(esk3_0),esk7_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_106]),c_0_20])]),c_0_56]) ).
cnf(c_0_120,plain,
( ~ program(X2)
| ~ halts2(esk10_1(X2),X1)
| ~ outputs(X2,good)
| ~ halts3(X2,X1,X1)
| ~ program(X1)
| program(esk6_1(X2))
| program(esk8_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_121,negated_conjecture,
( ~ program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| halts2(esk10_1(esk3_0),esk10_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_115]),c_0_20])]),c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts2(esk10_1(esk3_0),esk3_0)
| outputs(X1,good)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_117]),c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk10_1(esk3_0))
| outputs(X1,good)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_119]),c_0_118]) ).
cnf(c_0_124,negated_conjecture,
( ~ program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_20])]),c_0_115]),c_0_85]) ).
cnf(c_0_125,negated_conjecture,
( ~ program(X1)
| ~ halts2(X1,X2)
| halts2(esk10_1(esk3_0),esk3_0)
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_122]),c_0_20])]) ).
cnf(c_0_126,negated_conjecture,
( ~ program(X1)
| ~ halts2(X1,X2)
| program(esk10_1(esk3_0))
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_123]),c_0_20])]) ).
cnf(c_0_127,negated_conjecture,
( ~ program(X1)
| ~ program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| halts3(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_124]) ).
cnf(c_0_128,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| outputs(esk3_0,bad) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_116]),c_0_20])]),c_0_85]) ).
cnf(c_0_129,negated_conjecture,
( halts2(esk10_1(esk3_0),esk3_0)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_117]),c_0_118]) ).
cnf(c_0_130,negated_conjecture,
( program(esk10_1(esk3_0))
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_119]),c_0_118]) ).
cnf(c_0_131,negated_conjecture,
( ~ program(X1)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| halts3(esk3_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_48]),c_0_20])]) ).
cnf(c_0_132,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| outputs(esk3_0,bad) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_67]),c_0_20])]) ).
cnf(c_0_133,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| outputs(X1,good)
| outputs(esk3_0,good) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_129]),c_0_130]) ).
cnf(c_0_134,negated_conjecture,
( ~ program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk8_1(esk3_0))
| halts3(esk3_0,esk4_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_124]) ).
cnf(c_0_135,negated_conjecture,
( ~ program(X1)
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| halts2(X1,X2)
| outputs(esk3_0,bad) ),
inference(spm,[status(thm)],[c_0_27,c_0_132]) ).
cnf(c_0_136,negated_conjecture,
( ~ program(X1)
| ~ halts2(X1,X2)
| outputs(esk3_0,good) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_133]),c_0_20])]) ).
cnf(c_0_137,negated_conjecture,
( ~ program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),esk4_1(esk3_0)) ),
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_134]),c_0_20])]),c_0_124]),c_0_135]) ).
cnf(c_0_138,negated_conjecture,
outputs(esk3_0,good),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_129]),c_0_130]) ).
cnf(c_0_139,negated_conjecture,
( ~ program(esk10_1(esk3_0))
| program(esk8_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_137]),c_0_20])]),c_0_138])]),c_0_124]),c_0_134]) ).
cnf(c_0_140,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_48]),c_0_20])]) ).
cnf(c_0_141,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk6_1(esk3_0))
| halts3(X1,esk8_1(esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_140]) ).
cnf(c_0_142,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_20]) ).
cnf(c_0_143,negated_conjecture,
( ~ program(X2)
| program(esk6_1(esk3_0))
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_142]) ).
cnf(c_0_144,plain,
( ~ program(X2)
| ~ outputs(X2,bad)
| ~ halts3(X2,esk8_1(X2),esk9_1(X2))
| ~ halts2(esk10_1(X2),X1)
| ~ outputs(X2,good)
| ~ halts3(X2,X1,X1)
| ~ program(X1)
| program(esk6_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_145,negated_conjecture,
( program(esk6_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X2)
| halts3(esk3_0,esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_140]) ).
cnf(c_0_146,plain,
( ~ program(X2)
| ~ program(X1)
| ~ halts3(X1,X2,X2)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ outputs(X1,good)
| program(esk6_1(X1)) ),
inference(csr,[status(thm)],[c_0_144,c_0_93]) ).
cnf(c_0_147,negated_conjecture,
( program(esk6_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X1) ),
inference(ef,[status(thm)],[c_0_145]) ).
cnf(c_0_148,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1)
| ~ outputs(esk3_0,bad)
| program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_138]),c_0_20])]) ).
cnf(c_0_149,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk6_1(esk3_0))
| halts2(esk8_1(esk3_0),X2)
| outputs(X1,bad) ),
inference(spm,[status(thm)],[c_0_19,c_0_140]) ).
cnf(c_0_150,negated_conjecture,
( ~ outputs(esk3_0,bad)
| program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_67]),c_0_20])]) ).
cnf(c_0_151,plain,
( ~ program(X1)
| ~ halts2(esk8_1(X1),esk9_1(X1))
| program(esk6_1(X1))
| program(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_152,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| halts2(esk8_1(esk3_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_20]),c_0_150]) ).
cnf(c_0_153,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_20])]) ).
cnf(c_0_154,negated_conjecture,
( ~ program(X1)
| program(esk6_1(esk3_0))
| program(esk10_1(esk3_0))
| halts2(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_153]),c_0_150]) ).
cnf(c_0_155,negated_conjecture,
( ~ program(X2)
| program(esk6_1(esk3_0))
| halts2(X2,X3)
| halts2(esk8_1(esk3_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_152]),c_0_150]) ).
cnf(c_0_156,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk6_1(esk3_0))
| halts2(esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_140]) ).
cnf(c_0_157,negated_conjecture,
( program(esk6_1(esk3_0))
| halts2(esk8_1(esk3_0),X2)
| halts2(esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_140]) ).
cnf(c_0_158,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_156]),c_0_20])]) ).
cnf(c_0_159,plain,
( ~ program(X2)
| ~ halts2(esk8_1(X2),esk9_1(X2))
| ~ halts2(esk10_1(X2),X1)
| ~ outputs(X2,good)
| ~ halts3(X2,X1,X1)
| ~ program(X1)
| program(esk6_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_160,negated_conjecture,
( program(esk6_1(esk3_0))
| halts2(esk8_1(esk3_0),X1) ),
inference(ef,[status(thm)],[c_0_157]) ).
cnf(c_0_161,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),X2)
| outputs(X1,bad) ),
inference(spm,[status(thm)],[c_0_19,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
( ~ program(X1)
| ~ halts2(esk10_1(esk3_0),X1)
| ~ halts3(esk3_0,X1,X1)
| program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_138]),c_0_20])]) ).
cnf(c_0_163,negated_conjecture,
( program(esk6_1(esk3_0))
| program(esk4_1(esk3_0))
| halts2(esk10_1(esk3_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_20]),c_0_150]) ).
cnf(c_0_164,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1)
| program(esk6_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_165,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk6_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_67]),c_0_20])]) ).
cnf(c_0_166,negated_conjecture,
( ~ program(X1)
| program(esk6_1(esk3_0))
| halts2(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_165]),c_0_150]) ).
cnf(c_0_167,negated_conjecture,
( program(esk6_1(esk3_0))
| halts2(esk10_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_158]) ).
cnf(c_0_168,negated_conjecture,
( ~ program(X1)
| program(esk6_1(esk3_0))
| halts3(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_165]) ).
cnf(c_0_169,negated_conjecture,
( ~ program(X1)
| program(esk6_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_167]),c_0_168]) ).
cnf(c_0_170,negated_conjecture,
program(esk6_1(esk3_0)),
inference(spm,[status(thm)],[c_0_169,c_0_158]) ).
cnf(c_0_171,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts3(X1,esk6_1(esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_170]) ).
cnf(c_0_172,negated_conjecture,
( program(esk4_1(esk3_0))
| halts3(esk3_0,esk6_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_171,c_0_20]) ).
cnf(c_0_173,negated_conjecture,
( ~ program(X2)
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk6_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_172]) ).
cnf(c_0_174,plain,
( ~ program(X2)
| ~ outputs(X2,good)
| ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ halts2(esk10_1(X2),X1)
| ~ outputs(X2,good)
| ~ halts3(X2,X1,X1)
| ~ program(X1)
| program(esk8_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_175,negated_conjecture,
( halts3(esk3_0,esk6_1(esk3_0),X2)
| halts3(esk3_0,esk6_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_170]) ).
cnf(c_0_176,plain,
( ~ program(X1)
| ~ outputs(X1,good)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ program(X2)
| program(esk8_1(X1))
| halts2(esk10_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_177,plain,
( ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ halts2(esk10_1(X2),X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,good)
| ~ program(X1)
| ~ program(X2)
| program(esk8_1(X2)) ),
inference(cn,[status(thm)],[c_0_174]) ).
cnf(c_0_178,plain,
( ~ program(X1)
| ~ outputs(X1,good)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| program(esk8_1(X1))
| program(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_179,negated_conjecture,
halts3(esk3_0,esk6_1(esk3_0),X1),
inference(ef,[status(thm)],[c_0_175]) ).
cnf(c_0_180,plain,
( ~ program(X1)
| ~ program(X2)
| ~ halts3(X1,X2,X2)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,bad)
| ~ outputs(X1,good)
| program(esk8_1(X1)) ),
inference(csr,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_181,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_138]),c_0_20])]) ).
cnf(c_0_182,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1)
| ~ outputs(esk3_0,bad)
| program(esk8_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_179]),c_0_138]),c_0_20])]) ).
cnf(c_0_183,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| program(esk8_1(esk3_0))
| halts2(esk10_1(esk3_0),X2)
| outputs(X1,bad) ),
inference(spm,[status(thm)],[c_0_19,c_0_181]) ).
cnf(c_0_184,negated_conjecture,
( ~ outputs(esk3_0,bad)
| program(esk8_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_179]),c_0_170])]) ).
cnf(c_0_185,negated_conjecture,
( ~ program(X1)
| ~ halts2(esk10_1(esk3_0),X1)
| ~ halts3(esk3_0,X1,X1)
| program(esk8_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_179]),c_0_138]),c_0_20])]) ).
cnf(c_0_186,negated_conjecture,
( program(esk8_1(esk3_0))
| program(esk4_1(esk3_0))
| halts2(esk10_1(esk3_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_20]),c_0_184]) ).
cnf(c_0_187,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1)
| program(esk8_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_188,negated_conjecture,
( program(esk4_1(esk3_0))
| program(esk8_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_179]),c_0_170])]) ).
cnf(c_0_189,negated_conjecture,
( ~ program(X1)
| program(esk8_1(esk3_0))
| halts2(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_188]),c_0_184]) ).
cnf(c_0_190,negated_conjecture,
( program(esk8_1(esk3_0))
| halts2(esk10_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_181]) ).
cnf(c_0_191,negated_conjecture,
( ~ program(X1)
| program(esk8_1(esk3_0))
| halts3(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_188]) ).
cnf(c_0_192,negated_conjecture,
( ~ program(X1)
| program(esk8_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_190]),c_0_191]) ).
cnf(c_0_193,negated_conjecture,
program(esk8_1(esk3_0)),
inference(spm,[status(thm)],[c_0_192,c_0_181]) ).
cnf(c_0_194,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts3(X1,esk8_1(esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_193]) ).
cnf(c_0_195,negated_conjecture,
( program(esk4_1(esk3_0))
| halts3(esk3_0,esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_194,c_0_20]) ).
cnf(c_0_196,plain,
( ~ program(X2)
| ~ outputs(X2,good)
| ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ outputs(X2,bad)
| ~ halts3(X2,esk8_1(X2),esk9_1(X2))
| ~ halts2(esk10_1(X2),X1)
| ~ outputs(X2,good)
| ~ halts3(X2,X1,X1)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_197,plain,
( ~ program(X1)
| ~ outputs(X1,good)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,bad)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ outputs(X1,bad)
| ~ halts3(X1,X2,X2)
| ~ program(X2)
| halts2(esk10_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_198,negated_conjecture,
( ~ program(X2)
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_195]) ).
cnf(c_0_199,plain,
( ~ halts3(X2,esk8_1(X2),esk9_1(X2))
| ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ halts2(esk10_1(X2),X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,bad)
| ~ outputs(X2,good)
| ~ program(X1)
| ~ program(X2) ),
inference(cn,[status(thm)],[c_0_196]) ).
cnf(c_0_200,plain,
( ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ halts3(X1,X2,X2)
| ~ outputs(X1,bad)
| ~ outputs(X1,good)
| ~ program(X1)
| ~ program(X2)
| halts2(esk10_1(X1),X2) ),
inference(cn,[status(thm)],[c_0_197]) ).
cnf(c_0_201,negated_conjecture,
( halts3(esk3_0,esk8_1(esk3_0),X2)
| halts3(esk3_0,esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_193]) ).
cnf(c_0_202,plain,
( ~ program(X2)
| ~ program(X1)
| ~ halts3(X1,X2,X2)
| ~ halts3(X1,esk8_1(X1),esk9_1(X1))
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ outputs(X1,bad)
| ~ outputs(X1,good) ),
inference(csr,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_203,negated_conjecture,
halts3(esk3_0,esk8_1(esk3_0),X1),
inference(ef,[status(thm)],[c_0_201]) ).
cnf(c_0_204,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1)
| ~ outputs(esk3_0,bad) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_138]),c_0_179]),c_0_20])]) ).
cnf(c_0_205,plain,
( ~ program(X1)
| ~ outputs(X1,good)
| ~ halts3(X1,esk6_1(X1),esk7_1(X1))
| ~ halts2(esk8_1(X1),esk9_1(X1))
| program(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_206,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts2(esk8_1(esk3_0),X2)
| outputs(X1,bad) ),
inference(spm,[status(thm)],[c_0_19,c_0_193]) ).
cnf(c_0_207,negated_conjecture,
~ outputs(esk3_0,bad),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_203]),c_0_193])]) ).
cnf(c_0_208,negated_conjecture,
( ~ halts2(esk8_1(esk3_0),esk9_1(esk3_0))
| program(esk10_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_179]),c_0_138]),c_0_20])]) ).
cnf(c_0_209,negated_conjecture,
( program(esk4_1(esk3_0))
| halts2(esk8_1(esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_20]),c_0_207]) ).
cnf(c_0_210,negated_conjecture,
( program(esk10_1(esk3_0))
| program(esk4_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_211,negated_conjecture,
( ~ program(X1)
| program(esk10_1(esk3_0))
| halts2(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_210]),c_0_207]) ).
cnf(c_0_212,negated_conjecture,
( program(esk10_1(esk3_0))
| halts2(esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_211,c_0_193]) ).
cnf(c_0_213,negated_conjecture,
program(esk10_1(esk3_0)),
inference(spm,[status(thm)],[c_0_208,c_0_212]) ).
cnf(c_0_214,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts2(esk10_1(esk3_0),X2)
| outputs(X1,bad) ),
inference(spm,[status(thm)],[c_0_19,c_0_213]) ).
cnf(c_0_215,plain,
( ~ program(X2)
| ~ outputs(X2,good)
| ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ halts2(esk8_1(X2),esk9_1(X2))
| ~ halts2(esk10_1(X2),X1)
| ~ outputs(X2,good)
| ~ halts3(X2,X1,X1)
| ~ program(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_216,negated_conjecture,
( ~ program(X2)
| halts2(X2,X3)
| halts2(esk8_1(esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_209]),c_0_207]) ).
cnf(c_0_217,negated_conjecture,
( program(esk4_1(esk3_0))
| halts2(esk10_1(esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_20]),c_0_207]) ).
cnf(c_0_218,negated_conjecture,
( ~ program(X1)
| program(esk4_1(X1))
| halts3(X1,esk10_1(esk3_0),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_213]) ).
cnf(c_0_219,plain,
( ~ halts3(X2,esk6_1(X2),esk7_1(X2))
| ~ halts2(esk8_1(X2),esk9_1(X2))
| ~ halts2(esk10_1(X2),X1)
| ~ halts3(X2,X1,X1)
| ~ outputs(X2,good)
| ~ program(X1)
| ~ program(X2) ),
inference(cn,[status(thm)],[c_0_215]) ).
cnf(c_0_220,negated_conjecture,
( halts2(esk8_1(esk3_0),X2)
| halts2(esk8_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_216,c_0_193]) ).
cnf(c_0_221,negated_conjecture,
( ~ program(X2)
| halts2(X2,X3)
| halts2(esk10_1(esk3_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_217]),c_0_207]) ).
cnf(c_0_222,negated_conjecture,
( program(esk4_1(esk3_0))
| halts3(esk3_0,esk10_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_20]) ).
cnf(c_0_223,negated_conjecture,
( ~ program(X1)
| ~ halts2(esk10_1(esk3_0),X1)
| ~ halts2(esk8_1(esk3_0),esk9_1(esk3_0))
| ~ halts3(esk3_0,X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_179]),c_0_138]),c_0_20])]) ).
cnf(c_0_224,negated_conjecture,
halts2(esk8_1(esk3_0),X1),
inference(ef,[status(thm)],[c_0_220]) ).
cnf(c_0_225,negated_conjecture,
( halts2(esk10_1(esk3_0),X2)
| halts2(esk10_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_221,c_0_213]) ).
cnf(c_0_226,negated_conjecture,
( ~ program(X2)
| halts3(esk3_0,X2,X3)
| halts3(esk3_0,esk10_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_222]) ).
cnf(c_0_227,negated_conjecture,
( ~ program(X1)
| ~ halts2(esk10_1(esk3_0),X1)
| ~ halts3(esk3_0,X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224])]) ).
cnf(c_0_228,negated_conjecture,
halts2(esk10_1(esk3_0),X1),
inference(ef,[status(thm)],[c_0_225]) ).
cnf(c_0_229,negated_conjecture,
( halts3(esk3_0,esk10_1(esk3_0),X2)
| halts3(esk3_0,esk10_1(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_213]) ).
cnf(c_0_230,negated_conjecture,
( ~ program(X1)
| ~ halts3(esk3_0,X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228])]) ).
cnf(c_0_231,negated_conjecture,
halts3(esk3_0,esk10_1(esk3_0),X1),
inference(ef,[status(thm)],[c_0_229]) ).
cnf(c_0_232,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_213])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM003+3 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:18:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.18/0.77 % Version: 3.5.1
% 2.18/0.77 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.18/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.77 % Starting new_bool_3 with 300s (1) cores
% 2.18/0.77 % Starting new_bool_1 with 300s (1) cores
% 2.18/0.77 % Starting sh5l with 300s (1) cores
% 2.18/0.77 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2636764 completed with status 0
% 2.18/0.77 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.18/0.77 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.18/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.18/0.77 % No SInE strategy applied
% 2.18/0.77 % Search class: FGHNF-FFMF11-SFFFFFNN
% 2.18/0.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.18/0.77 % Starting SubtermCWHack with 136s (1) cores
% 2.18/0.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.18/0.77 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 2.18/0.77 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.18/0.77 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 2.18/0.77 % SubtermCWHack with pid 2636768 completed with status 0
% 2.18/0.77 % Result found by SubtermCWHack
% 2.18/0.77 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.18/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.77 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.18/0.77 % No SInE strategy applied
% 2.18/0.77 % Search class: FGHNF-FFMF11-SFFFFFNN
% 2.18/0.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.18/0.77 % Starting SubtermCWHack with 136s (1) cores
% 2.18/0.77 % Preprocessing time : 0.001 s
% 2.18/0.77
% 2.18/0.77 % Proof found!
% 2.18/0.77 % SZS status Theorem
% 2.18/0.77 % SZS output start CNFRefutation
% See solution above
% 2.18/0.77 % Parsed axioms : 4
% 2.18/0.77 % Removed by relevancy pruning/SinE : 0
% 2.18/0.77 % Initial clauses : 50
% 2.18/0.77 % Removed in clause preprocessing : 0
% 2.18/0.77 % Initial clauses in saturation : 50
% 2.18/0.77 % Processed clauses : 1461
% 2.18/0.77 % ...of these trivial : 2
% 2.18/0.77 % ...subsumed : 388
% 2.18/0.77 % ...remaining for further processing : 1071
% 2.18/0.77 % Other redundant clauses eliminated : 0
% 2.18/0.77 % Clauses deleted for lack of memory : 0
% 2.18/0.77 % Backward-subsumed : 590
% 2.18/0.77 % Backward-rewritten : 304
% 2.18/0.77 % Generated clauses : 27130
% 2.18/0.77 % ...of the previous two non-redundant : 26343
% 2.18/0.77 % ...aggressively subsumed : 0
% 2.18/0.77 % Contextual simplify-reflections : 197
% 2.18/0.77 % Paramodulations : 27060
% 2.18/0.77 % Factorizations : 64
% 2.18/0.77 % NegExts : 0
% 2.18/0.77 % Equation resolutions : 0
% 2.18/0.77 % Disequality decompositions : 0
% 2.18/0.77 % Total rewrite steps : 2912
% 2.18/0.77 % ...of those cached : 2884
% 2.18/0.77 % Propositional unsat checks : 0
% 2.18/0.77 % Propositional check models : 0
% 2.18/0.77 % Propositional check unsatisfiable : 0
% 2.18/0.77 % Propositional clauses : 0
% 2.18/0.77 % Propositional clauses after purity: 0
% 2.18/0.77 % Propositional unsat core size : 0
% 2.18/0.77 % Propositional preprocessing time : 0.000
% 2.18/0.77 % Propositional encoding time : 0.000
% 2.18/0.77 % Propositional solver time : 0.000
% 2.18/0.77 % Success case prop preproc time : 0.000
% 2.18/0.77 % Success case prop encoding time : 0.000
% 2.18/0.77 % Success case prop solver time : 0.000
% 2.18/0.77 % Current number of processed clauses : 171
% 2.18/0.77 % Positive orientable unit clauses : 14
% 2.18/0.77 % Positive unorientable unit clauses: 0
% 2.18/0.77 % Negative unit clauses : 1
% 2.18/0.77 % Non-unit-clauses : 156
% 2.18/0.77 % Current number of unprocessed clauses: 23205
% 2.18/0.77 % ...number of literals in the above : 174120
% 2.18/0.77 % Current number of archived formulas : 0
% 2.18/0.77 % Current number of archived clauses : 900
% 2.18/0.77 % Clause-clause subsumption calls (NU) : 147753
% 2.18/0.77 % Rec. Clause-clause subsumption calls : 6803
% 2.18/0.77 % Non-unit clause-clause subsumptions : 1136
% 2.18/0.77 % Unit Clause-clause subsumption calls : 1368
% 2.18/0.77 % Rewrite failures with RHS unbound : 0
% 2.18/0.77 % BW rewrite match attempts : 24
% 2.18/0.77 % BW rewrite match successes : 24
% 2.18/0.77 % Condensation attempts : 0
% 2.18/0.77 % Condensation successes : 0
% 2.18/0.77 % Termbank termtop insertions : 709819
% 2.18/0.77 % Search garbage collected termcells : 521
% 2.18/0.77
% 2.18/0.77 % -------------------------------------------------
% 2.18/0.77 % User time : 0.315 s
% 2.18/0.77 % System time : 0.019 s
% 2.18/0.77 % Total time : 0.334 s
% 2.18/0.77 % Maximum resident set size: 3636 pages
% 2.18/0.77
% 2.18/0.77 % -------------------------------------------------
% 2.18/0.77 % User time : 1.501 s
% 2.18/0.77 % System time : 0.080 s
% 2.18/0.77 % Total time : 1.581 s
% 2.18/0.77 % Maximum resident set size: 4864 pages
% 2.18/0.77 % E exiting
%------------------------------------------------------------------------------