TSTP Solution File: COM003-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM003-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Wed Aug 30 18:35:42 EDT 2023
% Result : Unsatisfiable 16.95s 17.13s
% Output : CNFRefutation 16.95s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
algorithm: $i > $o ).
tff(decl_23,type,
f2: $i > $i ).
tff(decl_24,type,
program: $i > $o ).
tff(decl_25,type,
c1: $i ).
tff(decl_26,type,
decides: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
f1: $i > $i ).
tff(decl_28,type,
f4: $i > $i ).
tff(decl_29,type,
halts2: ( $i * $i ) > $o ).
tff(decl_30,type,
halts3: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
good: $i ).
tff(decl_32,type,
outputs: ( $i * $i ) > $o ).
tff(decl_33,type,
bad: $i ).
tff(decl_34,type,
f3: $i > $i ).
tff(decl_35,type,
f5: $i > $i ).
tff(decl_36,type,
c2: $i ).
tff(decl_37,type,
f6: $i > $i ).
tff(decl_38,type,
c3: $i ).
tff(decl_39,type,
c4: $i ).
cnf(hypothesis_1_3,hypothesis,
( program(c1)
| ~ algorithm(X1)
| ~ decides(X1,f2(X1),f1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_1_3) ).
cnf(prove_the_algorithm_doesnt_exist,negated_conjecture,
( decides(c4,X1,X2)
| ~ program(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_algorithm_doesnt_exist) ).
cnf(a_deciding_algorithm,negated_conjecture,
algorithm(c4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_deciding_algorithm) ).
cnf(hypothesis_1_1,hypothesis,
( program(f2(X1))
| program(c1)
| ~ algorithm(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_1_1) ).
cnf(hypothesis_2_4,hypothesis,
( program(f4(X1))
| halts2(X2,X3)
| outputs(X1,bad)
| ~ program(X1)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_4) ).
cnf(hypothesis_3_4,hypothesis,
( program(f5(X1))
| halts2(X2,X2)
| halts2(c2,X2)
| ~ program(X1)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_4) ).
cnf(hypothesis_3_2,hypothesis,
( program(f5(X1))
| halts2(c2,X2)
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_2) ).
cnf(hypothesis_2_3,hypothesis,
( program(f4(X1))
| halts2(X2,X3)
| halts3(X1,X2,X3)
| ~ program(X1)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_3) ).
cnf(hypothesis_2_1,hypothesis,
( program(f4(X1))
| halts3(X1,X2,X3)
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_1) ).
cnf(hypothesis_3_1,hypothesis,
( program(f5(X1))
| program(c2)
| ~ program(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_1) ).
cnf(hypothesis_4_1,hypothesis,
( program(f6(X1))
| program(c3)
| ~ program(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_1) ).
cnf(hypothesis_3_11,hypothesis,
( program(c2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ halts2(f5(X1),f5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_11) ).
cnf(hypothesis_2_2,hypothesis,
( program(f4(X1))
| outputs(X1,good)
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_2) ).
cnf(hypothesis_3_3,hypothesis,
( program(f5(X1))
| outputs(c2,good)
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_3) ).
cnf(hypothesis_4_5,hypothesis,
( halts2(f6(X1),f6(X1))
| program(c3)
| ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_5) ).
cnf(hypothesis_3_5,hypothesis,
( program(f5(X1))
| halts2(X2,X2)
| outputs(c2,bad)
| ~ program(X1)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_5) ).
cnf(hypothesis_1_2,hypothesis,
( program(f2(X1))
| decides(c1,X2,X3)
| ~ algorithm(X1)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_1_2) ).
cnf(hypothesis_3_6,hypothesis,
( halts2(f5(X1),f5(X1))
| program(c2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_6) ).
cnf(hypothesis_2_7,hypothesis,
( halts2(X2,X3)
| halts3(X1,X2,X3)
| ~ program(X1)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_7) ).
cnf(hypothesis_2_5,hypothesis,
( halts3(X1,X2,X3)
| ~ program(X1)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2)
| ~ halts2(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_5) ).
cnf(hypothesis_1_4,hypothesis,
( decides(c1,X2,X3)
| ~ algorithm(X1)
| ~ decides(X1,f2(X1),f1(X1))
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_1_4) ).
cnf(hypothesis_2_6,hypothesis,
( outputs(X1,good)
| ~ program(X1)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2)
| ~ halts2(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_6) ).
cnf(hypothesis_3_16,hypothesis,
( program(c2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_16) ).
cnf(hypothesis_4_13,hypothesis,
( program(c3)
| ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_13) ).
cnf(hypothesis_2_8,hypothesis,
( halts2(X2,X3)
| outputs(X1,bad)
| ~ program(X1)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_2_8) ).
cnf(hypothesis_3_14,hypothesis,
( halts2(X2,X2)
| halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ halts2(f5(X1),f5(X1))
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_14) ).
cnf(hypothesis_3_12,hypothesis,
( halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ halts2(f5(X1),f5(X1))
| ~ program(X2)
| ~ halts2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_12) ).
cnf(hypothesis_3_9,hypothesis,
( halts2(f5(X1),f5(X1))
| halts2(X2,X2)
| halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,bad)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_9) ).
cnf(hypothesis_3_7,hypothesis,
( halts2(f5(X1),f5(X1))
| halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ halts2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_7) ).
cnf(hypothesis_4_9,hypothesis,
( program(c3)
| ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ halts2(f6(X1),f6(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_9) ).
cnf(hypothesis_3_19,hypothesis,
( halts2(X2,X2)
| halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_19) ).
cnf(hypothesis_3_17,hypothesis,
( halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ halts2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_17) ).
cnf(hypothesis_3_18,hypothesis,
( outputs(c2,good)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ halts2(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_18) ).
cnf(hypothesis_3_20,hypothesis,
( halts2(X2,X2)
| outputs(c2,bad)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_3_20) ).
cnf(hypothesis_4_3,hypothesis,
( program(f6(X1))
| halts2(X2,X2)
| halts2(c3,X2)
| ~ program(X1)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_3) ).
cnf(hypothesis_4_2,hypothesis,
( program(f6(X1))
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X2)
| ~ halts2(c3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_2) ).
cnf(hypothesis_4_10,hypothesis,
( ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ halts2(f6(X1),f6(X1))
| ~ program(X2)
| ~ halts2(X2,X2)
| ~ halts2(c3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_10) ).
cnf(hypothesis_4_15,hypothesis,
( halts2(X2,X2)
| halts2(c3,X2)
| ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_15) ).
cnf(hypothesis_4_14,hypothesis,
( ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ halts2(X2,X2)
| ~ halts2(c3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_4_14) ).
cnf(c_0_39,hypothesis,
( program(c1)
| ~ algorithm(X1)
| ~ decides(X1,f2(X1),f1(X1)) ),
hypothesis_1_3 ).
cnf(c_0_40,negated_conjecture,
( decides(c4,X1,X2)
| ~ program(X1) ),
prove_the_algorithm_doesnt_exist ).
cnf(c_0_41,negated_conjecture,
algorithm(c4),
a_deciding_algorithm ).
cnf(c_0_42,negated_conjecture,
( program(c1)
| ~ program(f2(c4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_43,hypothesis,
( program(f2(X1))
| program(c1)
| ~ algorithm(X1) ),
hypothesis_1_1 ).
cnf(c_0_44,hypothesis,
( program(f4(X1))
| halts2(X2,X3)
| outputs(X1,bad)
| ~ program(X1)
| ~ program(X2) ),
hypothesis_2_4 ).
cnf(c_0_45,hypothesis,
program(c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_41])]) ).
cnf(c_0_46,hypothesis,
( program(f5(X1))
| halts2(X2,X2)
| halts2(c2,X2)
| ~ program(X1)
| ~ program(X2) ),
hypothesis_3_4 ).
cnf(c_0_47,hypothesis,
( program(f5(X1))
| halts2(c2,X2)
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X2) ),
hypothesis_3_2 ).
cnf(c_0_48,hypothesis,
( program(f4(X1))
| halts2(X2,X3)
| halts3(X1,X2,X3)
| ~ program(X1)
| ~ program(X2) ),
hypothesis_2_3 ).
cnf(c_0_49,hypothesis,
( program(f4(X1))
| halts3(X1,X2,X3)
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X3) ),
hypothesis_2_1 ).
cnf(c_0_50,hypothesis,
( program(f5(X1))
| program(c2)
| ~ program(X1) ),
hypothesis_3_1 ).
cnf(c_0_51,hypothesis,
( outputs(X1,bad)
| halts2(c1,X2)
| program(f4(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,hypothesis,
( halts2(c2,X1)
| program(f5(X2))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,hypothesis,
( program(f6(X1))
| program(c3)
| ~ program(X1) ),
hypothesis_4_1 ).
cnf(c_0_54,hypothesis,
( program(c2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ halts2(f5(X1),f5(X1)) ),
hypothesis_3_11 ).
cnf(c_0_55,hypothesis,
( halts3(X1,X2,X3)
| program(f4(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,hypothesis,
( outputs(X1,bad)
| halts2(f5(X2),X3)
| program(f4(X1))
| program(c2)
| ~ program(X1)
| ~ program(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_50]) ).
cnf(c_0_57,hypothesis,
( program(f4(X1))
| outputs(X1,good)
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X3) ),
hypothesis_2_2 ).
cnf(c_0_58,hypothesis,
( outputs(c1,bad)
| halts2(c1,X1)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_45]) ).
cnf(c_0_59,hypothesis,
( program(f5(X1))
| outputs(c2,good)
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X2) ),
hypothesis_3_3 ).
cnf(c_0_60,hypothesis,
( halts2(f6(X1),f6(X1))
| program(c3)
| ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,bad) ),
hypothesis_4_5 ).
cnf(c_0_61,hypothesis,
( halts2(c2,f6(X1))
| program(f5(X2))
| program(c3)
| ~ program(X2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,hypothesis,
( program(f5(X1))
| halts2(X2,X2)
| outputs(c2,bad)
| ~ program(X1)
| ~ program(X2) ),
hypothesis_3_5 ).
cnf(c_0_63,hypothesis,
( program(f2(X1))
| decides(c1,X2,X3)
| ~ algorithm(X1)
| ~ program(X2) ),
hypothesis_1_2 ).
cnf(c_0_64,hypothesis,
( halts2(f5(X1),f5(X1))
| program(c2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,bad) ),
hypothesis_3_6 ).
cnf(c_0_65,hypothesis,
( program(f4(X1))
| program(c2)
| ~ outputs(X1,good)
| ~ halts2(f5(X1),f5(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_50]) ).
cnf(c_0_66,hypothesis,
( outputs(c1,bad)
| halts2(f5(X1),X2)
| program(f4(c1))
| program(c2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_45]) ).
cnf(c_0_67,hypothesis,
( outputs(c1,bad)
| outputs(X1,good)
| program(f4(c1))
| program(f4(X1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_45])]) ).
cnf(c_0_68,hypothesis,
( outputs(c2,good)
| program(f5(X1))
| program(c3)
| ~ outputs(X2,bad)
| ~ halts2(X2,f6(X2))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_53]) ).
cnf(c_0_69,hypothesis,
( halts2(c2,f6(X1))
| program(f5(c1))
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_45]) ).
cnf(c_0_70,hypothesis,
( outputs(c2,bad)
| halts2(c1,c1)
| program(f5(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_45]) ).
cnf(c_0_71,hypothesis,
( halts2(X2,X3)
| halts3(X1,X2,X3)
| ~ program(X1)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2) ),
hypothesis_2_7 ).
cnf(c_0_72,hypothesis,
( halts3(X1,X2,X3)
| ~ program(X1)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2)
| ~ halts2(X2,X3) ),
hypothesis_2_5 ).
cnf(c_0_73,hypothesis,
( decides(c1,X2,X3)
| ~ algorithm(X1)
| ~ decides(X1,f2(X1),f1(X1))
| ~ program(X2) ),
hypothesis_1_4 ).
cnf(c_0_74,negated_conjecture,
( decides(c1,X1,X2)
| program(f2(c4))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_41]) ).
cnf(c_0_75,hypothesis,
( halts2(f5(X1),f5(X1))
| program(f4(X1))
| program(c2)
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_55]),c_0_50]) ).
cnf(c_0_76,hypothesis,
( outputs(c1,bad)
| program(f4(c1))
| program(f4(X1))
| program(c2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_77,hypothesis,
( outputs(c2,good)
| program(f5(c1))
| program(f5(X1))
| program(c3)
| ~ outputs(c2,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_50]) ).
cnf(c_0_78,hypothesis,
( outputs(c2,bad)
| halts2(c1,c1)
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_70,c_0_45]) ).
cnf(c_0_79,hypothesis,
( halts3(X1,X2,X3)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( decides(c1,X1,X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_40]),c_0_41])]),c_0_74]) ).
cnf(c_0_81,hypothesis,
( outputs(X1,good)
| ~ program(X1)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2)
| ~ halts2(X2,X3) ),
hypothesis_2_6 ).
cnf(c_0_82,hypothesis,
( program(c2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad) ),
hypothesis_3_16 ).
cnf(c_0_83,hypothesis,
( outputs(X1,good)
| program(f4(X2))
| program(f4(X1))
| program(c2)
| ~ outputs(X2,bad)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_75]),c_0_50]) ).
cnf(c_0_84,hypothesis,
( outputs(c1,bad)
| program(f4(c1))
| program(c2) ),
inference(spm,[status(thm)],[c_0_76,c_0_45]) ).
cnf(c_0_85,hypothesis,
( program(c3)
| ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad) ),
hypothesis_4_13 ).
cnf(c_0_86,hypothesis,
( outputs(c2,good)
| halts2(c1,c1)
| program(f5(c1))
| program(f5(X1))
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_87,hypothesis,
( halts2(X2,X3)
| outputs(X1,bad)
| ~ program(X1)
| ~ decides(X1,f4(X1),f3(X1))
| ~ program(X2) ),
hypothesis_2_8 ).
cnf(c_0_88,negated_conjecture,
( halts3(c1,X1,X2)
| ~ program(f4(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_45])]) ).
cnf(c_0_89,hypothesis,
( outputs(c1,good)
| ~ halts2(X1,X2)
| ~ program(f4(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_80]),c_0_45])]) ).
cnf(c_0_90,hypothesis,
( program(f4(X1))
| program(c2)
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_55]),c_0_50]) ).
cnf(c_0_91,hypothesis,
( outputs(X1,good)
| program(f4(c1))
| program(f4(X1))
| program(c2)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_45])]) ).
cnf(c_0_92,hypothesis,
( program(f5(c1))
| program(c3)
| ~ outputs(c2,good)
| ~ outputs(c2,bad)
| ~ program(c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_69]) ).
cnf(c_0_93,hypothesis,
( outputs(c2,good)
| halts2(c1,c1)
| program(f5(c1))
| program(c3) ),
inference(spm,[status(thm)],[c_0_86,c_0_45]) ).
cnf(c_0_94,negated_conjecture,
( outputs(c1,bad)
| halts2(X1,X2)
| ~ program(f4(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_80]),c_0_45])]) ).
cnf(c_0_95,hypothesis,
( program(c2)
| ~ halts2(f5(c1),f5(c1))
| ~ program(f4(c1))
| ~ program(f5(c1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_88]),c_0_45])]),c_0_89]) ).
cnf(c_0_96,hypothesis,
( program(f4(c1))
| program(f4(X1))
| program(c2)
| ~ outputs(X1,bad)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,hypothesis,
( halts2(c1,c1)
| program(f5(c1))
| program(c3)
| ~ program(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_78]) ).
cnf(c_0_98,hypothesis,
( program(c2)
| ~ program(f4(c1))
| ~ program(f5(c1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_88]),c_0_45])]),c_0_94]),c_0_95]) ).
cnf(c_0_99,hypothesis,
( program(f4(c1))
| program(c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_84]),c_0_45])]) ).
cnf(c_0_100,hypothesis,
( outputs(c2,good)
| program(f5(c1))
| program(f5(X1))
| program(c3)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_97]),c_0_45])]),c_0_50]) ).
cnf(c_0_101,hypothesis,
( program(c2)
| ~ program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,hypothesis,
( halts2(X2,X2)
| halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ halts2(f5(X1),f5(X1))
| ~ program(X2) ),
hypothesis_3_14 ).
cnf(c_0_103,hypothesis,
( halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ halts2(f5(X1),f5(X1))
| ~ program(X2)
| ~ halts2(X2,X2) ),
hypothesis_3_12 ).
cnf(c_0_104,hypothesis,
( outputs(X1,bad)
| halts2(f6(X2),X3)
| program(f4(X1))
| program(c3)
| ~ program(X1)
| ~ program(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_53]) ).
cnf(c_0_105,hypothesis,
( outputs(c2,good)
| program(f5(c1))
| program(c3) ),
inference(spm,[status(thm)],[c_0_100,c_0_45]) ).
cnf(c_0_106,hypothesis,
program(c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_50]),c_0_45])]) ).
cnf(c_0_107,hypothesis,
( halts2(f5(X1),f5(X1))
| halts2(X2,X2)
| halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,bad)
| ~ program(X2) ),
hypothesis_3_9 ).
cnf(c_0_108,hypothesis,
( halts2(f5(X1),f5(X1))
| halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ halts2(X2,X2) ),
hypothesis_3_7 ).
cnf(c_0_109,hypothesis,
( halts2(c2,X1)
| ~ outputs(X2,good)
| ~ halts3(X2,f5(X2),f5(X2))
| ~ halts2(f5(X2),f5(X2))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,hypothesis,
( halts2(c2,c1)
| program(f5(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_45]) ).
cnf(c_0_111,hypothesis,
( program(c3)
| ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ halts2(f6(X1),f6(X1)) ),
hypothesis_4_9 ).
cnf(c_0_112,hypothesis,
( outputs(c1,bad)
| halts2(f6(X1),X2)
| program(f4(c1))
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_45]) ).
cnf(c_0_113,hypothesis,
( program(f5(c1))
| program(c3)
| ~ outputs(c2,bad)
| ~ program(c2) ),
inference(spm,[status(thm)],[c_0_92,c_0_105]) ).
cnf(c_0_114,hypothesis,
( halts2(c2,c2)
| program(f5(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_106]) ).
cnf(c_0_115,hypothesis,
( halts2(f5(X1),f5(X1))
| halts2(c2,X2)
| ~ outputs(X1,bad)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
( halts2(c2,X1)
| ~ halts2(f5(c1),f5(c1))
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_88]),c_0_45])]),c_0_89]) ).
cnf(c_0_117,hypothesis,
( halts2(c2,c1)
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_110,c_0_45]) ).
cnf(c_0_118,hypothesis,
( outputs(c1,bad)
| program(f4(c1))
| program(c3)
| ~ outputs(X1,good)
| ~ halts2(X1,f6(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,hypothesis,
( outputs(c1,good)
| outputs(c1,bad)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_45]) ).
cnf(c_0_120,hypothesis,
( outputs(c2,bad)
| halts2(f6(X1),f6(X1))
| program(f5(X2))
| program(c3)
| ~ program(X2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_53]) ).
cnf(c_0_121,hypothesis,
( program(f5(c1))
| program(c3)
| ~ outputs(c2,bad) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_106])]) ).
cnf(c_0_122,hypothesis,
( halts2(c2,c2)
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_45]) ).
cnf(c_0_123,negated_conjecture,
( halts2(c2,X1)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_88]),c_0_45])]),c_0_94]),c_0_116]) ).
cnf(c_0_124,hypothesis,
( outputs(X1,good)
| program(f5(c1))
| program(f4(X1))
| ~ program(c2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_117]) ).
cnf(c_0_125,hypothesis,
( halts2(f5(X1),f5(X1))
| halts2(c2,X2)
| program(f4(X1))
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_55]),c_0_52]) ).
cnf(c_0_126,hypothesis,
( outputs(c1,bad)
| program(f4(c1))
| program(c3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_58]),c_0_45])]),c_0_119]) ).
cnf(c_0_127,hypothesis,
( halts2(f6(X1),f6(X1))
| program(f5(c1))
| program(c3)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_45]),c_0_121]) ).
cnf(c_0_128,hypothesis,
( outputs(c2,good)
| program(f5(c1))
| program(f5(X1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_122]),c_0_106])]) ).
cnf(c_0_129,hypothesis,
( outputs(X1,good)
| program(f4(X1))
| ~ program(f4(c1))
| ~ program(c2)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_123]),c_0_124]) ).
cnf(c_0_130,hypothesis,
( halts2(f5(c1),f5(c1))
| halts2(c2,X1)
| program(f4(c1))
| program(c3)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_45])]) ).
cnf(c_0_131,hypothesis,
( program(f5(c1))
| program(c3)
| ~ outputs(X1,good)
| ~ halts2(X1,f6(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_127]) ).
cnf(c_0_132,hypothesis,
( outputs(c2,good)
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_45]) ).
cnf(c_0_133,hypothesis,
( outputs(X1,good)
| program(f4(X1))
| ~ program(f4(c1))
| ~ program(c2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_45]) ).
cnf(c_0_134,hypothesis,
( halts2(c2,X1)
| program(f4(X2))
| ~ outputs(X2,good)
| ~ halts2(f5(X2),f5(X2))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_55]),c_0_52]) ).
cnf(c_0_135,hypothesis,
( halts2(f5(c1),f5(c1))
| halts2(c2,c1)
| program(f4(c1))
| program(c3) ),
inference(spm,[status(thm)],[c_0_130,c_0_45]) ).
cnf(c_0_136,hypothesis,
( program(f5(c1))
| program(c3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_69]),c_0_106])]),c_0_132]) ).
cnf(c_0_137,hypothesis,
( outputs(X1,good)
| program(f4(X1))
| ~ program(f4(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_106])]) ).
cnf(c_0_138,hypothesis,
( halts2(c2,c1)
| halts2(c2,X1)
| program(f4(c1))
| program(c3)
| ~ outputs(c1,good)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_45])]) ).
cnf(c_0_139,hypothesis,
( outputs(X1,good)
| halts2(c2,c1)
| program(f4(X1))
| program(c3)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_135]),c_0_136]),c_0_137]) ).
cnf(c_0_140,hypothesis,
( halts2(X2,X2)
| halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2) ),
hypothesis_3_19 ).
cnf(c_0_141,hypothesis,
( halts2(c2,X2)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ halts2(X2,X2) ),
hypothesis_3_17 ).
cnf(c_0_142,hypothesis,
( halts2(c2,c1)
| halts2(c2,X1)
| program(f4(c1))
| program(c3)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_45])]) ).
cnf(c_0_143,hypothesis,
( halts2(c2,X1)
| ~ outputs(X2,good)
| ~ outputs(X2,bad)
| ~ halts3(X2,f5(X2),f5(X2))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_144,hypothesis,
( halts2(c2,c1)
| program(f4(c1))
| program(c3) ),
inference(spm,[status(thm)],[c_0_142,c_0_45]) ).
cnf(c_0_145,hypothesis,
( halts2(f5(c1),f5(c1))
| halts2(c2,c2)
| program(f4(c1))
| program(c3) ),
inference(spm,[status(thm)],[c_0_130,c_0_106]) ).
cnf(c_0_146,hypothesis,
( halts2(c2,X1)
| program(f4(X2))
| ~ outputs(X2,good)
| ~ outputs(X2,bad)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_55]),c_0_52]) ).
cnf(c_0_147,hypothesis,
( outputs(X1,good)
| program(f4(X1))
| program(c3)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_144]),c_0_106])]),c_0_137]) ).
cnf(c_0_148,hypothesis,
( outputs(X1,bad)
| halts2(c2,X2)
| program(f4(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_106]) ).
cnf(c_0_149,hypothesis,
( outputs(c2,good)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ halts2(X2,X2) ),
hypothesis_3_18 ).
cnf(c_0_150,hypothesis,
( halts2(c2,c2)
| halts2(c2,X1)
| program(f4(c1))
| program(c3)
| ~ outputs(c1,good)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_145]),c_0_45])]) ).
cnf(c_0_151,hypothesis,
( halts2(X2,X2)
| outputs(c2,bad)
| ~ program(X1)
| ~ halts3(X1,f5(X1),f5(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2) ),
hypothesis_3_20 ).
cnf(c_0_152,hypothesis,
( halts2(c2,X1)
| program(f4(X2))
| program(c3)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_153,hypothesis,
( outputs(c2,good)
| program(f4(X1))
| ~ outputs(X1,bad)
| ~ halts2(X2,X2)
| ~ program(X2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_55]),c_0_59]),c_0_57]) ).
cnf(c_0_154,hypothesis,
( halts2(c2,c2)
| halts2(c2,X1)
| program(f4(c1))
| program(c3)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_147]),c_0_45])]) ).
cnf(c_0_155,hypothesis,
( outputs(c2,bad)
| halts2(X1,X1)
| program(f4(X2))
| ~ outputs(X2,good)
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_55]),c_0_62]),c_0_44]) ).
cnf(c_0_156,hypothesis,
( halts2(c2,f6(X1))
| program(f4(X2))
| program(c3)
| ~ program(X2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_53]) ).
cnf(c_0_157,hypothesis,
( outputs(c2,good)
| program(f4(c1))
| program(c3)
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_126]),c_0_45])]) ).
cnf(c_0_158,hypothesis,
( halts2(c2,c2)
| program(f4(c1))
| program(c3) ),
inference(spm,[status(thm)],[c_0_154,c_0_106]) ).
cnf(c_0_159,hypothesis,
( outputs(c2,bad)
| halts2(X1,X1)
| program(f4(X2))
| program(c3)
| ~ program(X1)
| ~ program(X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_147]) ).
cnf(c_0_160,hypothesis,
( halts2(c2,f6(X1))
| program(f4(c1))
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_45]) ).
cnf(c_0_161,hypothesis,
( outputs(c2,good)
| program(f4(c1))
| program(c3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_106])]) ).
cnf(c_0_162,hypothesis,
( outputs(c2,bad)
| halts2(f6(X1),f6(X1))
| program(f4(X2))
| program(c3)
| ~ program(X2)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_53]) ).
cnf(c_0_163,hypothesis,
( program(f4(c1))
| program(c3)
| ~ outputs(c2,bad) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_160]),c_0_106])]),c_0_161]) ).
cnf(c_0_164,hypothesis,
( halts2(f6(X1),f6(X1))
| program(f4(c1))
| program(c3)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_45]),c_0_163]) ).
cnf(c_0_165,hypothesis,
( outputs(c1,good)
| program(f5(c1))
| ~ program(f4(c1))
| ~ program(c2) ),
inference(spm,[status(thm)],[c_0_89,c_0_117]) ).
cnf(c_0_166,hypothesis,
( program(f4(c1))
| program(c3)
| ~ outputs(X1,good)
| ~ halts2(X1,f6(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_164]) ).
cnf(c_0_167,hypothesis,
( outputs(c1,good)
| ~ program(f4(c1))
| ~ program(c2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_123]),c_0_165]) ).
cnf(c_0_168,hypothesis,
( program(f4(c1))
| program(c3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_160]),c_0_106])]),c_0_161]) ).
cnf(c_0_169,hypothesis,
( halts2(f5(c1),f5(c1))
| halts2(c2,f6(X1))
| program(f4(c1))
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_53]) ).
cnf(c_0_170,negated_conjecture,
( outputs(c2,bad)
| halts2(X1,X1)
| ~ outputs(c1,good)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_88]),c_0_45])]),c_0_94]) ).
cnf(c_0_171,hypothesis,
( outputs(c1,good)
| ~ program(f4(c1))
| ~ program(c2) ),
inference(spm,[status(thm)],[c_0_167,c_0_45]) ).
cnf(c_0_172,hypothesis,
( outputs(c1,bad)
| outputs(c2,bad)
| halts2(X1,X1)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_119]),c_0_45])]),c_0_94]) ).
cnf(c_0_173,negated_conjecture,
( outputs(c1,bad)
| halts2(X1,X2)
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_168]) ).
cnf(c_0_174,hypothesis,
( halts2(f5(c1),f5(c1))
| halts2(c2,f6(c1))
| program(f4(c1))
| program(c3) ),
inference(spm,[status(thm)],[c_0_169,c_0_45]) ).
cnf(c_0_175,negated_conjecture,
( outputs(c2,bad)
| halts2(X1,X1)
| program(c3)
| ~ outputs(c1,good)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_168]),c_0_136]) ).
cnf(c_0_176,hypothesis,
( outputs(c1,good)
| ~ program(f4(c1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_106])]) ).
cnf(c_0_177,hypothesis,
( outputs(c2,bad)
| outputs(c1,bad)
| halts2(f6(X1),f6(X1))
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_53]) ).
cnf(c_0_178,hypothesis,
( outputs(c1,bad)
| halts2(c2,X1)
| program(c3) ),
inference(spm,[status(thm)],[c_0_173,c_0_106]) ).
cnf(c_0_179,hypothesis,
( outputs(c2,good)
| halts2(c2,f6(c1))
| program(f4(c1))
| program(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_174]),c_0_136]) ).
cnf(c_0_180,hypothesis,
( outputs(c2,bad)
| halts2(X1,X1)
| program(c3)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_168]) ).
cnf(c_0_181,hypothesis,
( outputs(c1,bad)
| outputs(c2,bad)
| program(c3)
| ~ outputs(X1,good)
| ~ halts2(X1,f6(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_177]) ).
cnf(c_0_182,hypothesis,
( outputs(c1,bad)
| program(c3)
| ~ outputs(c2,good)
| ~ outputs(c2,bad) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_178]),c_0_106])]) ).
cnf(c_0_183,hypothesis,
( outputs(c2,good)
| outputs(X1,good)
| program(f4(X1))
| program(c3)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_179]),c_0_106])]),c_0_137]) ).
cnf(c_0_184,hypothesis,
( outputs(c2,good)
| ~ outputs(c1,bad)
| ~ halts2(X1,X1)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_88]),c_0_45])]),c_0_89]) ).
cnf(c_0_185,hypothesis,
( outputs(c2,bad)
| halts2(f6(X1),f6(X1))
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_180,c_0_53]) ).
cnf(c_0_186,hypothesis,
( outputs(c1,bad)
| halts2(f6(X1),X2)
| program(c3)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_53]) ).
cnf(c_0_187,hypothesis,
( outputs(c1,bad)
| program(c3)
| ~ outputs(c2,good) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_178]),c_0_106])]),c_0_182]) ).
cnf(c_0_188,hypothesis,
( outputs(c1,good)
| outputs(c2,good)
| program(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_45]),c_0_176]) ).
cnf(c_0_189,hypothesis,
( program(c3)
| ~ outputs(c2,good)
| ~ outputs(c2,bad)
| ~ program(f4(c1))
| ~ program(c2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_123]),c_0_53]),c_0_92]) ).
cnf(c_0_190,hypothesis,
( outputs(c2,good)
| ~ outputs(c1,bad)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(c2) ),
inference(spm,[status(thm)],[c_0_184,c_0_123]) ).
cnf(c_0_191,hypothesis,
( outputs(c2,bad)
| program(c3)
| ~ outputs(X1,good)
| ~ halts2(X1,f6(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_185]) ).
cnf(c_0_192,hypothesis,
( outputs(c1,bad)
| program(c3)
| ~ outputs(X1,good)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_186]),c_0_173]) ).
cnf(c_0_193,hypothesis,
( outputs(c1,good)
| outputs(c1,bad)
| program(c3) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_194,hypothesis,
( program(c3)
| ~ outputs(c2,bad)
| ~ outputs(c1,bad)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(c2) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_195,negated_conjecture,
( outputs(c2,bad)
| program(c3)
| ~ outputs(c2,good)
| ~ program(f6(c2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_123]),c_0_106])]),c_0_136]),c_0_168]) ).
cnf(c_0_196,hypothesis,
( outputs(c2,good)
| ~ outputs(c1,bad)
| ~ program(f4(c1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_106])]),c_0_132]) ).
cnf(c_0_197,hypothesis,
( outputs(c1,bad)
| program(c3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_45])]) ).
cnf(c_0_198,hypothesis,
( program(c3)
| ~ outputs(c2,bad)
| ~ outputs(c1,bad)
| ~ program(f4(c1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_106])]),c_0_121]) ).
cnf(c_0_199,hypothesis,
( outputs(c2,bad)
| program(c3)
| ~ program(f6(c2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_168]),c_0_197]) ).
cnf(c_0_200,hypothesis,
( program(c3)
| ~ program(f6(c2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_168]),c_0_197]) ).
cnf(c_0_201,hypothesis,
( program(f6(X1))
| halts2(X2,X2)
| halts2(c3,X2)
| ~ program(X1)
| ~ program(X2) ),
hypothesis_4_3 ).
cnf(c_0_202,hypothesis,
program(c3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_53]),c_0_106])]) ).
cnf(c_0_203,hypothesis,
( halts2(c3,c3)
| program(f6(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_204,hypothesis,
( program(f6(X1))
| ~ program(X1)
| ~ program(X2)
| ~ halts2(X2,X2)
| ~ halts2(c3,X2) ),
hypothesis_4_2 ).
cnf(c_0_205,hypothesis,
( halts2(c3,c3)
| program(f6(c1)) ),
inference(spm,[status(thm)],[c_0_203,c_0_45]) ).
cnf(c_0_206,hypothesis,
( program(f6(c1))
| program(f6(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_202])]),c_0_205]) ).
cnf(c_0_207,hypothesis,
( halts2(c3,c3)
| program(f6(c3)) ),
inference(spm,[status(thm)],[c_0_203,c_0_202]) ).
cnf(c_0_208,hypothesis,
program(f6(c1)),
inference(spm,[status(thm)],[c_0_206,c_0_45]) ).
cnf(c_0_209,hypothesis,
( program(f6(c3))
| program(f6(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_207]),c_0_202])]),c_0_207]) ).
cnf(c_0_210,hypothesis,
( outputs(X1,bad)
| halts2(f6(c1),X2)
| program(f4(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_208]) ).
cnf(c_0_211,hypothesis,
( outputs(X1,bad)
| halts2(c3,X2)
| program(f4(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_202]) ).
cnf(c_0_212,hypothesis,
program(f6(c3)),
inference(spm,[status(thm)],[c_0_209,c_0_202]) ).
cnf(c_0_213,hypothesis,
( ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ halts2(f6(X1),f6(X1))
| ~ program(X2)
| ~ halts2(X2,X2)
| ~ halts2(c3,X2) ),
hypothesis_4_10 ).
cnf(c_0_214,hypothesis,
( outputs(c1,bad)
| halts2(f6(c1),X1)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_210,c_0_45]) ).
cnf(c_0_215,hypothesis,
( outputs(c1,bad)
| halts2(c3,X1)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_211,c_0_45]) ).
cnf(c_0_216,hypothesis,
( outputs(X1,bad)
| halts2(f6(c3),X2)
| program(f4(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_212]) ).
cnf(c_0_217,hypothesis,
( outputs(c1,bad)
| program(f4(c1))
| ~ halts2(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_213,c_0_214]),c_0_45])]),c_0_215]),c_0_58]),c_0_119]) ).
cnf(c_0_218,hypothesis,
( outputs(c1,bad)
| halts2(f6(c3),X1)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_216,c_0_45]) ).
cnf(c_0_219,hypothesis,
( outputs(c1,bad)
| program(f4(c1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_212])]) ).
cnf(c_0_220,hypothesis,
( halts2(f5(c1),f5(c1))
| halts2(c2,X1)
| program(f4(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_219]),c_0_45])]) ).
cnf(c_0_221,hypothesis,
( halts2(c2,c3)
| program(f5(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_202]) ).
cnf(c_0_222,hypothesis,
( halts2(f5(c1),f5(c1))
| halts2(c2,c3)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_220,c_0_202]) ).
cnf(c_0_223,hypothesis,
( halts2(c2,c3)
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_221,c_0_45]) ).
cnf(c_0_224,hypothesis,
( halts2(c2,c3)
| halts2(c2,X1)
| program(f4(c1))
| ~ outputs(c1,good)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_222]),c_0_45])]) ).
cnf(c_0_225,hypothesis,
( outputs(X1,good)
| halts2(c2,c3)
| program(f4(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_222]),c_0_223]),c_0_137]) ).
cnf(c_0_226,hypothesis,
( halts2(c2,c3)
| halts2(c2,X1)
| program(f4(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_45])]) ).
cnf(c_0_227,hypothesis,
( halts2(c2,c3)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_226,c_0_202]) ).
cnf(c_0_228,hypothesis,
( halts2(c3,c3)
| program(f6(c2)) ),
inference(spm,[status(thm)],[c_0_203,c_0_106]) ).
cnf(c_0_229,hypothesis,
( halts2(f5(c1),f5(c1))
| halts2(c2,c2)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_220,c_0_106]) ).
cnf(c_0_230,hypothesis,
( outputs(X1,good)
| program(f4(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_227]),c_0_106])]),c_0_137]) ).
cnf(c_0_231,hypothesis,
( program(f6(c2))
| program(f6(X1))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_228]),c_0_202])]),c_0_203]) ).
cnf(c_0_232,hypothesis,
( halts2(c2,c2)
| halts2(c2,X1)
| program(f4(c1))
| ~ outputs(c1,good)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_229]),c_0_45])]) ).
cnf(c_0_233,hypothesis,
( halts2(c2,X1)
| program(f4(X2))
| ~ program(X1)
| ~ program(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_230]),c_0_148]) ).
cnf(c_0_234,hypothesis,
program(f6(c2)),
inference(spm,[status(thm)],[c_0_231,c_0_106]) ).
cnf(c_0_235,hypothesis,
( halts2(c2,c2)
| halts2(c2,X1)
| program(f4(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_230]),c_0_45])]) ).
cnf(c_0_236,hypothesis,
( halts2(c2,f6(c2))
| program(f4(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_237,hypothesis,
( outputs(c2,good)
| program(f4(c1))
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_219]),c_0_45])]) ).
cnf(c_0_238,hypothesis,
( halts2(c2,c2)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_235,c_0_106]) ).
cnf(c_0_239,hypothesis,
( outputs(c2,bad)
| halts2(X1,X1)
| program(f4(X2))
| ~ program(X1)
| ~ program(X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_230]) ).
cnf(c_0_240,hypothesis,
( halts2(X2,X2)
| halts2(c3,X2)
| ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2) ),
hypothesis_4_15 ).
cnf(c_0_241,hypothesis,
( halts2(c2,f6(c2))
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_236,c_0_45]) ).
cnf(c_0_242,hypothesis,
( outputs(c2,good)
| program(f4(c1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_106])]) ).
cnf(c_0_243,hypothesis,
( outputs(c2,bad)
| halts2(c3,c3)
| program(f4(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_202]) ).
cnf(c_0_244,hypothesis,
( outputs(c2,bad)
| halts2(f6(c2),f6(c2))
| program(f4(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_234]) ).
cnf(c_0_245,hypothesis,
( ~ program(X1)
| ~ halts2(X1,f6(X1))
| ~ outputs(X1,good)
| ~ outputs(X1,bad)
| ~ program(X2)
| ~ halts2(X2,X2)
| ~ halts2(c3,X2) ),
hypothesis_4_14 ).
cnf(c_0_246,hypothesis,
( halts2(c3,X1)
| halts2(X1,X1)
| program(f4(c1))
| ~ outputs(c2,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_106])]),c_0_242]) ).
cnf(c_0_247,hypothesis,
( outputs(c2,bad)
| halts2(c3,c3)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_243,c_0_45]) ).
cnf(c_0_248,hypothesis,
( halts2(c3,X1)
| halts2(X1,X1)
| ~ outputs(c2,good)
| ~ outputs(c2,bad)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(f6(c2))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_123]),c_0_106])]) ).
cnf(c_0_249,hypothesis,
( outputs(c2,bad)
| halts2(f6(c2),f6(c2))
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_244,c_0_45]) ).
cnf(c_0_250,hypothesis,
( program(f4(c1))
| ~ outputs(c2,bad)
| ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_241]),c_0_106])]),c_0_242]) ).
cnf(c_0_251,hypothesis,
( halts2(c3,c3)
| halts2(c3,X1)
| halts2(X1,X1)
| program(f4(c1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_252,hypothesis,
( halts2(c2,f6(c2))
| program(f5(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_234]) ).
cnf(c_0_253,hypothesis,
( halts2(c3,X1)
| halts2(X1,X1)
| ~ outputs(c2,bad)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(f6(c2))
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_196]),c_0_94]) ).
cnf(c_0_254,hypothesis,
( program(f4(c1))
| ~ halts2(c3,X1)
| ~ halts2(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_213,c_0_249]),c_0_106])]),c_0_241]),c_0_242]),c_0_250]) ).
cnf(c_0_255,hypothesis,
( halts2(c3,c3)
| program(f4(c1)) ),
inference(spm,[status(thm)],[c_0_251,c_0_202]) ).
cnf(c_0_256,hypothesis,
( halts2(c2,f6(c2))
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_252,c_0_45]) ).
cnf(c_0_257,hypothesis,
( halts2(c3,X1)
| halts2(X1,X1)
| ~ outputs(c2,bad)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_234])]) ).
cnf(c_0_258,hypothesis,
program(f4(c1)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_202])]),c_0_255]) ).
cnf(c_0_259,hypothesis,
( halts2(c3,X1)
| halts2(X1,X1)
| program(f5(c1))
| ~ outputs(c2,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_256]),c_0_106])]),c_0_132]) ).
cnf(c_0_260,hypothesis,
( outputs(c2,bad)
| halts2(c3,c3)
| program(f5(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_202]) ).
cnf(c_0_261,hypothesis,
( outputs(c2,bad)
| halts2(f6(c2),f6(c2))
| program(f5(X1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_234]) ).
cnf(c_0_262,hypothesis,
( halts2(c3,X1)
| halts2(X1,X1)
| ~ outputs(c2,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_258])]),c_0_259]) ).
cnf(c_0_263,hypothesis,
( outputs(c2,bad)
| halts2(c3,c3)
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_260,c_0_45]) ).
cnf(c_0_264,hypothesis,
( outputs(c2,bad)
| halts2(f6(c2),f6(c2))
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_261,c_0_45]) ).
cnf(c_0_265,hypothesis,
( program(f5(c1))
| ~ outputs(c2,bad)
| ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_256]),c_0_106])]),c_0_132]) ).
cnf(c_0_266,hypothesis,
( halts2(c3,c3)
| halts2(c3,X1)
| halts2(X1,X1)
| program(f5(c1))
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_267,negated_conjecture,
( outputs(c1,bad)
| halts2(X1,X2)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_258])]) ).
cnf(c_0_268,hypothesis,
outputs(c1,good),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_258])]) ).
cnf(c_0_269,hypothesis,
( program(f5(c1))
| ~ halts2(c3,X1)
| ~ halts2(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_213,c_0_264]),c_0_106])]),c_0_256]),c_0_132]),c_0_265]) ).
cnf(c_0_270,hypothesis,
( halts2(c3,c3)
| program(f5(c1)) ),
inference(spm,[status(thm)],[c_0_266,c_0_202]) ).
cnf(c_0_271,hypothesis,
( outputs(c1,bad)
| halts2(f6(c1),X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_208]) ).
cnf(c_0_272,hypothesis,
( outputs(c1,bad)
| halts2(c3,X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_202]) ).
cnf(c_0_273,hypothesis,
( outputs(c1,bad)
| halts2(c1,X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_45]) ).
cnf(c_0_274,negated_conjecture,
( outputs(c2,bad)
| halts2(X1,X1)
| ~ program(f5(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_258])]),c_0_268])]) ).
cnf(c_0_275,hypothesis,
program(f5(c1)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_202])]),c_0_270]) ).
cnf(c_0_276,hypothesis,
( outputs(c1,bad)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_271]),c_0_268]),c_0_45])]),c_0_267]),c_0_272]),c_0_273]) ).
cnf(c_0_277,hypothesis,
( ~ outputs(c2,good)
| ~ outputs(c2,bad)
| ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(c2)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_123]),c_0_204]) ).
cnf(c_0_278,negated_conjecture,
( outputs(c2,bad)
| halts2(X1,X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_275])]) ).
cnf(c_0_279,hypothesis,
( outputs(c2,good)
| ~ outputs(c1,bad) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_258])]) ).
cnf(c_0_280,hypothesis,
outputs(c1,bad),
inference(spm,[status(thm)],[c_0_276,c_0_202]) ).
cnf(c_0_281,hypothesis,
( ~ outputs(c2,good)
| ~ outputs(c2,bad)
| ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(f4(c1))
| ~ program(f5(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_106])]) ).
cnf(c_0_282,hypothesis,
( outputs(c2,bad)
| halts2(f6(c2),f6(c2)) ),
inference(spm,[status(thm)],[c_0_278,c_0_234]) ).
cnf(c_0_283,hypothesis,
outputs(c2,good),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_280])]) ).
cnf(c_0_284,negated_conjecture,
( halts2(c2,X1)
| ~ program(f5(c1))
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_258])]) ).
cnf(c_0_285,hypothesis,
( outputs(c2,bad)
| halts2(c3,c3) ),
inference(spm,[status(thm)],[c_0_278,c_0_202]) ).
cnf(c_0_286,hypothesis,
( ~ outputs(c2,good)
| ~ outputs(c2,bad)
| ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_258])]),c_0_269]) ).
cnf(c_0_287,hypothesis,
( outputs(c2,bad)
| ~ halts2(c2,f6(c2))
| ~ halts2(c3,X1)
| ~ program(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_282]),c_0_283]),c_0_106])]),c_0_278]) ).
cnf(c_0_288,negated_conjecture,
( halts2(c2,X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_275])]) ).
cnf(c_0_289,hypothesis,
( halts2(c3,c3)
| halts2(c3,X1)
| halts2(X1,X1)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_262,c_0_285]) ).
cnf(c_0_290,hypothesis,
( ~ outputs(c2,bad)
| ~ outputs(c1,bad)
| ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(spm,[status(thm)],[c_0_286,c_0_279]) ).
cnf(c_0_291,negated_conjecture,
( outputs(c2,bad)
| ~ halts2(c3,X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_234])]) ).
cnf(c_0_292,hypothesis,
halts2(c3,c3),
inference(spm,[status(thm)],[c_0_289,c_0_202]) ).
cnf(c_0_293,hypothesis,
( ~ outputs(c2,bad)
| ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_280])]) ).
cnf(c_0_294,hypothesis,
outputs(c2,bad),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_202])]) ).
cnf(c_0_295,hypothesis,
( ~ halts2(c3,X1)
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_294])]) ).
cnf(c_0_296,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_292]),c_0_292]),c_0_202])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COM003-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.34 % Computer : n027.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Aug 29 13:11:23 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.17/0.54 start to proof: theBenchmark
% 16.95/17.13 % Version : CSE_E---1.5
% 16.95/17.13 % Problem : theBenchmark.p
% 16.95/17.13 % Proof found
% 16.95/17.13 % SZS status Theorem for theBenchmark.p
% 16.95/17.13 % SZS output start Proof
% See solution above
% 16.95/17.15 % Total time : 16.576000 s
% 16.95/17.15 % SZS output end Proof
% 16.95/17.15 % Total time : 16.580000 s
%------------------------------------------------------------------------------