%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : HWV006-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:48:43 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 51
% Syntax : Number of clauses : 227 ( 32 unt; 31 nHn; 227 RR)
% Number of literals : 568 ( 0 equ; 336 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 165 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_ok_or_abnormal,axiom,
( ~ logic_not(X1)
| abnormal(X1)
| not_ok(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).
cnf(halfadder_not1,axiom,
( ~ halfadder(X1)
| logic_not(not1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).
cnf(and_ok_or_abnormal,axiom,
( ~ logic_and(X1)
| abnormal(X1)
| and_ok(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).
cnf(halfadder_and1,axiom,
( ~ halfadder(X1)
| logic_and(and1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).
cnf(not_1_0_bw,axiom,
( ~ one(out1(X1))
| ~ not_ok(X1)
| zero(in1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_1_0_bw) ).
cnf(and_1_x1,axiom,
( ~ one(out1(X1))
| ~ and_ok(X1)
| one(in2(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_1_x1) ).
cnf(and_0_00,axiom,
( ~ zero(out1(X1))
| ~ and_ok(X1)
| zero(in2(X1))
| zero(in1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_0_00) ).
cnf(value_propagation_zero2,axiom,
( ~ zero(X2)
| ~ connection(X1,X2)
| zero(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).
cnf(halfadder_connection_out1and2_in1not1,axiom,
( ~ halfadder(X1)
| connection(out1(and2(X1)),in1(not1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).
cnf(diagnosis_or1_not1h2,negated_conjecture,
( ~ abnormal(not1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).
cnf(value_propagation_one2,axiom,
( ~ one(X2)
| ~ connection(X1,X2)
| one(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).
cnf(halfadder_connection_out1not1_in2and1,axiom,
( ~ halfadder(X1)
| connection(out1(not1(X1)),in2(and1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).
cnf(diagnosis_or1_and1h2,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
cnf(unique_value,axiom,
( ~ one(X1)
| ~ zero(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',unique_value) ).
cnf(diagnosis_and1h1,negated_conjecture,
~ abnormal(and1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1h1) ).
cnf(value_propagation_one1,axiom,
( ~ one(X1)
| ~ connection(X1,X2)
| one(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).
cnf(not_0_1_fw,axiom,
( ~ zero(in1(X1))
| ~ not_ok(X1)
| one(out1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_0_1_fw) ).
cnf(or_ok_or_abnormal,axiom,
( ~ logic_or(X1)
| abnormal(X1)
| or_ok(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).
cnf(halfadder_or1,axiom,
( ~ halfadder(X1)
| logic_or(or1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( ~ halfadder(X1)
| connection(outc(X1),out1(and2(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).
cnf(value_propagation_zero1,axiom,
( ~ zero(X1)
| ~ connection(X1,X2)
| zero(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).
cnf(halfadder_connection_outs_out1and1,axiom,
( ~ halfadder(X1)
| connection(outs(X1),out1(and1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).
cnf(diagnosis_not1h1,negated_conjecture,
~ abnormal(not1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1h1) ).
cnf(or_0_01,axiom,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in2(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_0_01) ).
cnf(halfadder_and2,axiom,
( ~ halfadder(X1)
| logic_and(and2(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_and2) ).
cnf(fulladder_connection_inc_in2h1,axiom,
( ~ fulladder(X1)
| connection(inc(X1),in2(h1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_inc_in2h1) ).
cnf(halfadder_connection_in2_in2and2,axiom,
( ~ halfadder(X1)
| connection(in2(X1),in2(and2(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2and2) ).
cnf(fulladder_connection_outch2_in1or1,axiom,
( ~ fulladder(X1)
| connection(outc(h2(X1)),in1(or1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch2_in1or1) ).
cnf(diagnosis_or1h1,negated_conjecture,
~ abnormal(or1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1h1) ).
cnf(halfadder_connection_in2_in2or1,axiom,
( ~ halfadder(X1)
| connection(in2(X1),in2(or1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2or1) ).
cnf(fulladder_connection_outs_outsh2,axiom,
( ~ fulladder(X1)
| connection(outs(X1),outs(h2(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outs_outsh2) ).
cnf(halfadder_connection_out1or1_in1_and1,axiom,
( ~ halfadder(X1)
| connection(out1(or1(X1)),in1(and1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).
cnf(inc_1,hypothesis,
one(inc(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).
cnf(f_isa_fulladder,hypothesis,
fulladder(f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).
cnf(diagnosis_and2,negated_conjecture,
~ abnormal(and2(h2(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2) ).
cnf(fulladder_or1,axiom,
( ~ fulladder(X1)
| logic_or(or1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_or1) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( ~ fulladder(X1)
| connection(outc(X1),out1(or1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outc_out1or1) ).
cnf(fulladder_connection_outsh1_in2h2,axiom,
( ~ fulladder(X1)
| connection(outs(h1(X1)),in2(h2(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outsh1_in2h2) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( ~ halfadder(X1)
| connection(in1(X1),in1(and2(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1and2) ).
cnf(outs_1,hypothesis,
one(outs(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).
cnf(fulladder_halfadder2,axiom,
( ~ fulladder(X1)
| halfadder(h2(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder2) ).
cnf(or_0_0x,axiom,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_0_0x) ).
cnf(and_0x_0,axiom,
( ~ zero(in1(X1))
| ~ and_ok(X1)
| zero(out1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_0x_0) ).
cnf(fulladder_connection_outch1_in2or1,axiom,
( ~ fulladder(X1)
| connection(outc(h1(X1)),in2(or1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch1_in2or1) ).
cnf(outc_0,hypothesis,
zero(outc(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
cnf(diagnosis_and2h1,negated_conjecture,
~ abnormal(and2(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1) ).
cnf(fulladder_halfadder1,axiom,
( ~ fulladder(X1)
| halfadder(h1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder1) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( ~ fulladder(X1)
| connection(in1(X1),in1(h2(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in1_in1h2) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( ~ fulladder(X1)
| connection(in2(X1),in1(h1(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in2_in1h1) ).
cnf(in2_0,hypothesis,
zero(in2(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).
cnf(in1_1,hypothesis,
one(in1(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
cnf(c_0_51,plain,
( ~ logic_not(X1)
| abnormal(X1)
| not_ok(X1) ),
inference(fof_simplification,[status(thm)],[not_ok_or_abnormal]) ).
cnf(c_0_52,plain,
( ~ halfadder(X1)
| logic_not(not1(X1)) ),
inference(fof_simplification,[status(thm)],[halfadder_not1]) ).
cnf(c_0_53,plain,
( ~ logic_and(X1)
| abnormal(X1)
| and_ok(X1) ),
inference(fof_simplification,[status(thm)],[and_ok_or_abnormal]) ).
cnf(c_0_54,plain,
( ~ halfadder(X1)
| logic_and(and1(X1)) ),
inference(fof_simplification,[status(thm)],[halfadder_and1]) ).
cnf(c_0_55,plain,
( ~ one(out1(X1))
| ~ not_ok(X1)
| zero(in1(X1)) ),
inference(fof_simplification,[status(thm)],[not_1_0_bw]) ).
cnf(c_0_56,plain,
( ~ logic_not(X1)
| abnormal(X1)
| not_ok(X1) ),
c_0_51 ).
cnf(c_0_57,plain,
( ~ halfadder(X1)
| logic_not(not1(X1)) ),
c_0_52 ).
cnf(c_0_58,plain,
( ~ one(out1(X1))
| ~ and_ok(X1)
| one(in2(X1)) ),
inference(fof_simplification,[status(thm)],[and_1_x1]) ).
cnf(c_0_59,plain,
( ~ logic_and(X1)
| abnormal(X1)
| and_ok(X1) ),
c_0_53 ).
cnf(c_0_60,plain,
( ~ halfadder(X1)
| logic_and(and1(X1)) ),
c_0_54 ).
cnf(c_0_61,plain,
( ~ zero(out1(X1))
| ~ and_ok(X1)
| zero(in2(X1))
| zero(in1(X1)) ),
inference(fof_simplification,[status(thm)],[and_0_00]) ).
cnf(c_0_62,plain,
( ~ zero(X2)
| ~ connection(X1,X2)
| zero(X1) ),
inference(fof_simplification,[status(thm)],[value_propagation_zero2]) ).
cnf(c_0_63,plain,
( ~ halfadder(X1)
| connection(out1(and2(X1)),in1(not1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_out1and2_in1not1]) ).
cnf(c_0_64,negated_conjecture,
( ~ abnormal(not1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(fof_simplification,[status(thm)],[diagnosis_or1_not1h2]) ).
cnf(c_0_65,plain,
( ~ one(out1(X1))
| ~ not_ok(X1)
| zero(in1(X1)) ),
c_0_55 ).
cnf(c_0_66,plain,
( ~ halfadder(X1)
| abnormal(not1(X1))
| not_ok(not1(X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,plain,
( ~ one(X2)
| ~ connection(X1,X2)
| one(X1) ),
inference(fof_simplification,[status(thm)],[value_propagation_one2]) ).
cnf(c_0_68,plain,
( ~ halfadder(X1)
| connection(out1(not1(X1)),in2(and1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_out1not1_in2and1]) ).
cnf(c_0_69,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(fof_simplification,[status(thm)],[diagnosis_or1_and1h2]) ).
cnf(c_0_70,plain,
( ~ one(out1(X1))
| ~ and_ok(X1)
| one(in2(X1)) ),
c_0_58 ).
cnf(c_0_71,plain,
( ~ halfadder(X1)
| and_ok(and1(X1))
| abnormal(and1(X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_72,plain,
( ~ one(X1)
| ~ zero(X1) ),
inference(fof_simplification,[status(thm)],[unique_value]) ).
cnf(c_0_73,plain,
( ~ zero(out1(X1))
| ~ and_ok(X1)
| zero(in2(X1))
| zero(in1(X1)) ),
c_0_61 ).
cnf(c_0_74,plain,
( ~ zero(X2)
| ~ connection(X1,X2)
| zero(X1) ),
c_0_62 ).
cnf(c_0_75,plain,
( ~ halfadder(X1)
| connection(out1(and2(X1)),in1(not1(X1))) ),
c_0_63 ).
cnf(c_0_76,negated_conjecture,
( ~ abnormal(not1(h2(f)))
| ~ abnormal(or1(f)) ),
c_0_64 ).
cnf(c_0_77,plain,
( ~ one(out1(not1(X1)))
| ~ halfadder(X1)
| zero(in1(not1(X1)))
| abnormal(not1(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_78,plain,
( ~ one(X2)
| ~ connection(X1,X2)
| one(X1) ),
c_0_67 ).
cnf(c_0_79,plain,
( ~ halfadder(X1)
| connection(out1(not1(X1)),in2(and1(X1))) ),
c_0_68 ).
cnf(c_0_80,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
c_0_69 ).
cnf(c_0_81,plain,
( ~ one(out1(and1(X1)))
| ~ halfadder(X1)
| one(in2(and1(X1)))
| abnormal(and1(X1)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,negated_conjecture,
~ abnormal(and1(h1(f))),
inference(fof_simplification,[status(thm)],[diagnosis_and1h1]) ).
cnf(c_0_83,plain,
( ~ one(X1)
| ~ zero(X1) ),
c_0_72 ).
cnf(c_0_84,plain,
( ~ zero(out1(and1(X1)))
| ~ halfadder(X1)
| zero(in2(and1(X1)))
| zero(in1(and1(X1)))
| abnormal(and1(X1)) ),
inference(spm,[status(thm)],[c_0_73,c_0_71]) ).
cnf(c_0_85,plain,
( ~ one(X1)
| ~ connection(X1,X2)
| one(X2) ),
inference(fof_simplification,[status(thm)],[value_propagation_one1]) ).
cnf(c_0_86,plain,
( ~ zero(in1(X1))
| ~ not_ok(X1)
| one(out1(X1)) ),
inference(fof_simplification,[status(thm)],[not_0_1_fw]) ).
cnf(c_0_87,plain,
( ~ logic_or(X1)
| abnormal(X1)
| or_ok(X1) ),
inference(fof_simplification,[status(thm)],[or_ok_or_abnormal]) ).
cnf(c_0_88,plain,
( ~ halfadder(X1)
| logic_or(or1(X1)) ),
inference(fof_simplification,[status(thm)],[halfadder_or1]) ).
cnf(c_0_89,plain,
( ~ halfadder(X1)
| connection(outc(X1),out1(and2(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_outc_out1and2]) ).
cnf(c_0_90,plain,
( ~ zero(in1(not1(X1)))
| ~ halfadder(X1)
| zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_91,negated_conjecture,
( ~ one(out1(not1(h2(f))))
| ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| zero(in1(not1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_92,plain,
( ~ one(in2(and1(X1)))
| ~ halfadder(X1)
| one(out1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_93,negated_conjecture,
( ~ one(out1(and1(h2(f))))
| ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| one(in2(and1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_94,negated_conjecture,
~ abnormal(and1(h1(f))),
c_0_82 ).
cnf(c_0_95,plain,
( ~ zero(out1(and1(X1)))
| ~ one(in2(and1(X1)))
| ~ halfadder(X1)
| zero(in1(and1(X1)))
| abnormal(and1(X1)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_96,plain,
( ~ one(X1)
| ~ connection(X1,X2)
| one(X2) ),
c_0_85 ).
cnf(c_0_97,plain,
( ~ zero(X1)
| ~ connection(X1,X2)
| zero(X2) ),
inference(fof_simplification,[status(thm)],[value_propagation_zero1]) ).
cnf(c_0_98,plain,
( ~ halfadder(X1)
| connection(outs(X1),out1(and1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_outs_out1and1]) ).
cnf(c_0_99,negated_conjecture,
~ abnormal(not1(h1(f))),
inference(fof_simplification,[status(thm)],[diagnosis_not1h1]) ).
cnf(c_0_100,plain,
( ~ zero(in1(X1))
| ~ not_ok(X1)
| one(out1(X1)) ),
c_0_86 ).
cnf(c_0_101,plain,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in2(X1)) ),
inference(fof_simplification,[status(thm)],[or_0_01]) ).
cnf(c_0_102,plain,
( ~ logic_or(X1)
| abnormal(X1)
| or_ok(X1) ),
c_0_87 ).
cnf(c_0_103,plain,
( ~ halfadder(X1)
| logic_or(or1(X1)) ),
c_0_88 ).
cnf(c_0_104,plain,
( ~ halfadder(X1)
| logic_and(and2(X1)) ),
inference(fof_simplification,[status(thm)],[halfadder_and2]) ).
cnf(c_0_105,plain,
( ~ halfadder(X1)
| connection(outc(X1),out1(and2(X1))) ),
c_0_89 ).
cnf(c_0_106,negated_conjecture,
( ~ one(out1(not1(h2(f))))
| ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| zero(out1(and2(h2(f)))) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_107,negated_conjecture,
( ~ one(out1(and1(h2(f))))
| ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| one(out1(not1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_108,negated_conjecture,
( ~ zero(out1(and1(h1(f))))
| ~ one(in2(and1(h1(f))))
| ~ halfadder(h1(f))
| zero(in1(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_109,plain,
( ~ one(out1(not1(X1)))
| ~ halfadder(X1)
| one(in2(and1(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_79]) ).
cnf(c_0_110,plain,
( ~ zero(X1)
| ~ connection(X1,X2)
| zero(X2) ),
c_0_97 ).
cnf(c_0_111,plain,
( ~ halfadder(X1)
| connection(outs(X1),out1(and1(X1))) ),
c_0_98 ).
cnf(c_0_112,negated_conjecture,
~ abnormal(not1(h1(f))),
c_0_99 ).
cnf(c_0_113,plain,
( ~ zero(in1(not1(X1)))
| ~ halfadder(X1)
| one(out1(not1(X1)))
| abnormal(not1(X1)) ),
inference(spm,[status(thm)],[c_0_100,c_0_66]) ).
cnf(c_0_114,plain,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in2(X1)) ),
c_0_101 ).
cnf(c_0_115,plain,
( ~ halfadder(X1)
| abnormal(or1(X1))
| or_ok(or1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_116,plain,
( ~ fulladder(X1)
| connection(inc(X1),in2(h1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_inc_in2h1]) ).
cnf(c_0_117,plain,
( ~ halfadder(X1)
| connection(in2(X1),in2(and2(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_in2_in2and2]) ).
cnf(c_0_118,plain,
( ~ halfadder(X1)
| logic_and(and2(X1)) ),
c_0_104 ).
cnf(c_0_119,plain,
( ~ fulladder(X1)
| connection(outc(h2(X1)),in1(or1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outch2_in1or1]) ).
cnf(c_0_120,plain,
( ~ zero(out1(and2(X1)))
| ~ halfadder(X1)
| zero(outc(X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_105]) ).
cnf(c_0_121,negated_conjecture,
( ~ one(out1(and1(h2(f))))
| ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| zero(out1(and2(h2(f)))) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_122,negated_conjecture,
( ~ zero(out1(and1(h1(f))))
| ~ one(out1(not1(h1(f))))
| ~ halfadder(h1(f))
| zero(in1(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_123,plain,
( ~ zero(outs(X1))
| ~ halfadder(X1)
| zero(out1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_124,negated_conjecture,
( ~ zero(in1(not1(h1(f))))
| ~ halfadder(h1(f))
| one(out1(not1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_125,plain,
( ~ zero(out1(and2(X1)))
| ~ halfadder(X1)
| zero(in1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_75]) ).
cnf(c_0_126,negated_conjecture,
~ abnormal(or1(h1(f))),
inference(fof_simplification,[status(thm)],[diagnosis_or1h1]) ).
cnf(c_0_127,plain,
( ~ zero(out1(or1(X1)))
| ~ halfadder(X1)
| zero(in2(or1(X1)))
| abnormal(or1(X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_128,plain,
( ~ halfadder(X1)
| connection(in2(X1),in2(or1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_in2_in2or1]) ).
cnf(c_0_129,plain,
( ~ fulladder(X1)
| connection(inc(X1),in2(h1(X1))) ),
c_0_116 ).
cnf(c_0_130,plain,
( ~ halfadder(X1)
| connection(in2(X1),in2(and2(X1))) ),
c_0_117 ).
cnf(c_0_131,plain,
( ~ halfadder(X1)
| and_ok(and2(X1))
| abnormal(and2(X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_118]) ).
cnf(c_0_132,plain,
( ~ fulladder(X1)
| connection(outc(h2(X1)),in1(or1(X1))) ),
c_0_119 ).
cnf(c_0_133,negated_conjecture,
( ~ one(out1(and1(h2(f))))
| ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| zero(outc(h2(f))) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_134,plain,
( ~ one(outs(X1))
| ~ halfadder(X1)
| one(out1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_111]) ).
cnf(c_0_135,plain,
( ~ fulladder(X1)
| connection(outs(X1),outs(h2(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outs_outsh2]) ).
cnf(c_0_136,plain,
( ~ halfadder(X1)
| connection(out1(or1(X1)),in1(and1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_out1or1_in1_and1]) ).
cnf(c_0_137,negated_conjecture,
( ~ zero(outs(h1(f)))
| ~ one(out1(not1(h1(f))))
| ~ halfadder(h1(f))
| zero(in1(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_138,negated_conjecture,
( ~ zero(out1(and2(h1(f))))
| ~ halfadder(h1(f))
| one(out1(not1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_139,negated_conjecture,
~ abnormal(or1(h1(f))),
c_0_126 ).
cnf(c_0_140,plain,
( ~ zero(out1(or1(X1)))
| ~ one(in2(or1(X1)))
| ~ halfadder(X1)
| abnormal(or1(X1)) ),
inference(spm,[status(thm)],[c_0_83,c_0_127]) ).
cnf(c_0_141,plain,
( ~ halfadder(X1)
| connection(in2(X1),in2(or1(X1))) ),
c_0_128 ).
cnf(c_0_142,plain,
( ~ one(inc(X1))
| ~ fulladder(X1)
| one(in2(h1(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_129]) ).
cnf(c_0_143,hypothesis,
one(inc(f)),
inc_1 ).
cnf(c_0_144,hypothesis,
fulladder(f),
f_isa_fulladder ).
cnf(c_0_145,negated_conjecture,
~ abnormal(and2(h2(f))),
inference(fof_simplification,[status(thm)],[diagnosis_and2]) ).
cnf(c_0_146,plain,
( ~ zero(in2(and2(X1)))
| ~ halfadder(X1)
| zero(in2(X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_130]) ).
cnf(c_0_147,plain,
( ~ zero(out1(and2(X1)))
| ~ halfadder(X1)
| zero(in2(and2(X1)))
| zero(in1(and2(X1)))
| abnormal(and2(X1)) ),
inference(spm,[status(thm)],[c_0_73,c_0_131]) ).
cnf(c_0_148,plain,
( ~ zero(outc(h2(X1)))
| ~ fulladder(X1)
| zero(in1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_132]) ).
cnf(c_0_149,negated_conjecture,
( ~ one(outs(h2(f)))
| ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| zero(outc(h2(f))) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_150,plain,
( ~ fulladder(X1)
| connection(outs(X1),outs(h2(X1))) ),
c_0_135 ).
cnf(c_0_151,plain,
( ~ fulladder(X1)
| logic_or(or1(X1)) ),
inference(fof_simplification,[status(thm)],[fulladder_or1]) ).
cnf(c_0_152,plain,
( ~ fulladder(X1)
| connection(outc(X1),out1(or1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outc_out1or1]) ).
cnf(c_0_153,plain,
( ~ halfadder(X1)
| connection(out1(or1(X1)),in1(and1(X1))) ),
c_0_136 ).
cnf(c_0_154,negated_conjecture,
( ~ zero(outs(h1(f)))
| ~ zero(out1(and2(h1(f))))
| ~ halfadder(h1(f))
| zero(in1(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_155,plain,
( ~ zero(outc(X1))
| ~ halfadder(X1)
| zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_105]) ).
cnf(c_0_156,negated_conjecture,
( ~ zero(out1(or1(h1(f))))
| ~ one(in2(or1(h1(f))))
| ~ halfadder(h1(f)) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_157,plain,
( ~ one(in2(X1))
| ~ halfadder(X1)
| one(in2(or1(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_141]) ).
cnf(c_0_158,hypothesis,
one(in2(h1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144])]) ).
cnf(c_0_159,plain,
( ~ fulladder(X1)
| connection(outs(h1(X1)),in2(h2(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outsh1_in2h2]) ).
cnf(c_0_160,plain,
( ~ halfadder(X1)
| connection(in1(X1),in1(and2(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_in1_in1and2]) ).
cnf(c_0_161,negated_conjecture,
~ abnormal(and2(h2(f))),
c_0_145 ).
cnf(c_0_162,plain,
( ~ zero(out1(and2(X1)))
| ~ halfadder(X1)
| zero(in2(X1))
| zero(in1(and2(X1)))
| abnormal(and2(X1)) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_163,negated_conjecture,
( ~ one(outs(h2(f)))
| ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| zero(in1(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_144])]) ).
cnf(c_0_164,plain,
( ~ one(outs(X1))
| ~ fulladder(X1)
| one(outs(h2(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_150]) ).
cnf(c_0_165,hypothesis,
one(outs(f)),
outs_1 ).
cnf(c_0_166,plain,
( ~ fulladder(X1)
| halfadder(h2(X1)) ),
inference(fof_simplification,[status(thm)],[fulladder_halfadder2]) ).
cnf(c_0_167,plain,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in1(X1)) ),
inference(fof_simplification,[status(thm)],[or_0_0x]) ).
cnf(c_0_168,plain,
( ~ fulladder(X1)
| logic_or(or1(X1)) ),
c_0_151 ).
cnf(c_0_169,plain,
( ~ fulladder(X1)
| connection(outc(X1),out1(or1(X1))) ),
c_0_152 ).
cnf(c_0_170,plain,
( ~ zero(in1(X1))
| ~ and_ok(X1)
| zero(out1(X1)) ),
inference(fof_simplification,[status(thm)],[and_0x_0]) ).
cnf(c_0_171,plain,
( ~ zero(in1(and1(X1)))
| ~ halfadder(X1)
| zero(out1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_74,c_0_153]) ).
cnf(c_0_172,negated_conjecture,
( ~ zero(outc(h1(f)))
| ~ zero(outs(h1(f)))
| ~ halfadder(h1(f))
| zero(in1(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_173,negated_conjecture,
( ~ zero(out1(or1(h1(f))))
| ~ halfadder(h1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158])]) ).
cnf(c_0_174,plain,
( ~ fulladder(X1)
| connection(outs(h1(X1)),in2(h2(X1))) ),
c_0_159 ).
cnf(c_0_175,plain,
( ~ fulladder(X1)
| connection(outc(h1(X1)),in2(or1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outch1_in2or1]) ).
cnf(c_0_176,plain,
( ~ halfadder(X1)
| connection(in1(X1),in1(and2(X1))) ),
c_0_160 ).
cnf(c_0_177,negated_conjecture,
( ~ zero(out1(and2(h2(f))))
| ~ halfadder(h2(f))
| zero(in2(h2(f)))
| zero(in1(and2(h2(f)))) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_178,negated_conjecture,
( ~ abnormal(or1(f))
| ~ halfadder(h2(f))
| zero(in1(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_144]),c_0_165])]) ).
cnf(c_0_179,plain,
( ~ fulladder(X1)
| halfadder(h2(X1)) ),
c_0_166 ).
cnf(c_0_180,plain,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in1(X1)) ),
c_0_167 ).
cnf(c_0_181,plain,
( ~ fulladder(X1)
| abnormal(or1(X1))
| or_ok(or1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_168]) ).
cnf(c_0_182,plain,
( ~ zero(outc(X1))
| ~ fulladder(X1)
| zero(out1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_169]) ).
cnf(c_0_183,hypothesis,
zero(outc(f)),
outc_0 ).
cnf(c_0_184,negated_conjecture,
~ abnormal(and2(h1(f))),
inference(fof_simplification,[status(thm)],[diagnosis_and2h1]) ).
cnf(c_0_185,plain,
( ~ zero(in1(X1))
| ~ and_ok(X1)
| zero(out1(X1)) ),
c_0_170 ).
cnf(c_0_186,negated_conjecture,
( ~ zero(outc(h1(f)))
| ~ zero(outs(h1(f)))
| ~ halfadder(h1(f)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).
cnf(c_0_187,plain,
( ~ zero(in2(h2(X1)))
| ~ fulladder(X1)
| zero(outs(h1(X1))) ),
inference(spm,[status(thm)],[c_0_74,c_0_174]) ).
cnf(c_0_188,plain,
( ~ fulladder(X1)
| connection(outc(h1(X1)),in2(or1(X1))) ),
c_0_175 ).
cnf(c_0_189,plain,
( ~ zero(in1(and2(X1)))
| ~ halfadder(X1)
| zero(in1(X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_176]) ).
cnf(c_0_190,negated_conjecture,
( ~ zero(outc(h2(f)))
| ~ halfadder(h2(f))
| zero(in2(h2(f)))
| zero(in1(and2(h2(f)))) ),
inference(spm,[status(thm)],[c_0_177,c_0_155]) ).
cnf(c_0_191,negated_conjecture,
( ~ abnormal(or1(f))
| zero(in1(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_144])]) ).
cnf(c_0_192,plain,
( ~ zero(out1(or1(X1)))
| ~ fulladder(X1)
| zero(in1(or1(X1)))
| abnormal(or1(X1)) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_193,hypothesis,
zero(out1(or1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_144])]) ).
cnf(c_0_194,negated_conjecture,
~ abnormal(and2(h1(f))),
c_0_184 ).
cnf(c_0_195,plain,
( ~ zero(in1(and2(X1)))
| ~ halfadder(X1)
| zero(out1(and2(X1)))
| abnormal(and2(X1)) ),
inference(spm,[status(thm)],[c_0_185,c_0_131]) ).
cnf(c_0_196,negated_conjecture,
( ~ zero(in2(h2(f)))
| ~ zero(outc(h1(f)))
| ~ halfadder(h1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_144])]) ).
cnf(c_0_197,plain,
( ~ zero(in2(or1(X1)))
| ~ fulladder(X1)
| zero(outc(h1(X1))) ),
inference(spm,[status(thm)],[c_0_74,c_0_188]) ).
cnf(c_0_198,negated_conjecture,
( ~ zero(outc(h2(f)))
| ~ halfadder(h2(f))
| zero(in1(h2(f)))
| zero(in2(h2(f))) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_199,plain,
( ~ zero(in1(or1(X1)))
| ~ fulladder(X1)
| zero(outc(h2(X1))) ),
inference(spm,[status(thm)],[c_0_74,c_0_132]) ).
cnf(c_0_200,negated_conjecture,
zero(in1(or1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_144]),c_0_193])]) ).
cnf(c_0_201,negated_conjecture,
( ~ zero(in1(and2(h1(f))))
| ~ halfadder(h1(f))
| zero(out1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_202,negated_conjecture,
( ~ zero(in2(or1(f)))
| ~ zero(in2(h2(f)))
| ~ halfadder(h1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_144])]) ).
cnf(c_0_203,negated_conjecture,
( ~ halfadder(h2(f))
| zero(in2(h2(f)))
| zero(in1(h2(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_144]),c_0_200])]) ).
cnf(c_0_204,negated_conjecture,
( ~ zero(in1(and2(h1(f))))
| ~ halfadder(h1(f))
| zero(outc(h1(f))) ),
inference(spm,[status(thm)],[c_0_120,c_0_201]) ).
cnf(c_0_205,plain,
( ~ zero(in1(X1))
| ~ halfadder(X1)
| zero(in1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_176]) ).
cnf(c_0_206,negated_conjecture,
( ~ zero(in2(or1(f)))
| ~ halfadder(h2(f))
| ~ halfadder(h1(f))
| zero(in1(h2(f))) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_207,plain,
( ~ fulladder(X1)
| halfadder(h1(X1)) ),
inference(fof_simplification,[status(thm)],[fulladder_halfadder1]) ).
cnf(c_0_208,plain,
( ~ zero(outc(h1(X1)))
| ~ fulladder(X1)
| zero(in2(or1(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_188]) ).
cnf(c_0_209,negated_conjecture,
( ~ zero(in1(h1(f)))
| ~ halfadder(h1(f))
| zero(outc(h1(f))) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_210,plain,
( ~ fulladder(X1)
| connection(in1(X1),in1(h2(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_in1_in1h2]) ).
cnf(c_0_211,negated_conjecture,
( ~ zero(in2(or1(f)))
| ~ halfadder(h1(f))
| zero(in1(h2(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_179]),c_0_144])]) ).
cnf(c_0_212,plain,
( ~ fulladder(X1)
| halfadder(h1(X1)) ),
c_0_207 ).
cnf(c_0_213,negated_conjecture,
( ~ zero(in1(h1(f)))
| ~ halfadder(h1(f))
| zero(in2(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_144])]) ).
cnf(c_0_214,plain,
( ~ fulladder(X1)
| connection(in1(X1),in1(h2(X1))) ),
c_0_210 ).
cnf(c_0_215,negated_conjecture,
( ~ zero(in2(or1(f)))
| zero(in1(h2(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_144])]) ).
cnf(c_0_216,negated_conjecture,
( ~ zero(in1(h1(f)))
| zero(in2(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_212]),c_0_144])]) ).
cnf(c_0_217,plain,
( ~ fulladder(X1)
| connection(in2(X1),in1(h1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_in2_in1h1]) ).
cnf(c_0_218,plain,
( ~ zero(in1(h2(X1)))
| ~ fulladder(X1)
| zero(in1(X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_214]) ).
cnf(c_0_219,negated_conjecture,
( ~ zero(in1(h1(f)))
| zero(in1(h2(f))) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_220,plain,
( ~ fulladder(X1)
| connection(in2(X1),in1(h1(X1))) ),
c_0_217 ).
cnf(c_0_221,negated_conjecture,
( ~ zero(in1(h1(f)))
| zero(in1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_144])]) ).
cnf(c_0_222,plain,
( ~ zero(in2(X1))
| ~ fulladder(X1)
| zero(in1(h1(X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_220]) ).
cnf(c_0_223,hypothesis,
zero(in2(f)),
in2_0 ).
cnf(c_0_224,negated_conjecture,
zero(in1(f)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_144]),c_0_223])]) ).
cnf(c_0_225,hypothesis,
one(in1(f)),
in1_1 ).
cnf(c_0_226,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_224]),c_0_225])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV006-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 20:48:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % Version: 3.5.1
% 0.18/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % Starting sh5l with 300s (1) cores
% 0.18/0.49 % sh5l with pid 903209 completed with status 0
% 0.18/0.49 % Result found by sh5l
% 0.18/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % Starting sh5l with 300s (1) cores
% 0.18/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/0.49 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.49 % Search class: FGHNF-FFMM11-SFFFFFNN
% 0.18/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.49 % SubtermCWHack with pid 903210 completed with status 0
% 0.18/0.49 % Result found by SubtermCWHack
% 0.18/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 % Starting sh5l with 300s (1) cores
% 0.18/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/0.49 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.49 % Search class: FGHNF-FFMM11-SFFFFFNN
% 0.18/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.49 % Preprocessing time : 0.002 s
% 0.18/0.49
% 0.18/0.49 % Proof found!
% 0.18/0.49 % SZS status Unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
% 0.18/0.49 % Parsed axioms : 64
% 0.18/0.49 % Removed by relevancy pruning/SinE : 0
% 0.18/0.49 % Initial clauses : 64
% 0.18/0.49 % Removed in clause preprocessing : 0
% 0.18/0.49 % Initial clauses in saturation : 64
% 0.18/0.49 % Processed clauses : 630
% 0.18/0.49 % ...of these trivial : 0
% 0.18/0.49 % ...subsumed : 160
% 0.18/0.49 % ...remaining for further processing : 470
% 0.18/0.49 % Other redundant clauses eliminated : 0
% 0.18/0.49 % Clauses deleted for lack of memory : 0
% 0.18/0.49 % Backward-subsumed : 80
% 0.18/0.49 % Backward-rewritten : 6
% 0.18/0.49 % Generated clauses : 725
% 0.18/0.49 % ...of the previous two non-redundant : 623
% 0.18/0.49 % ...aggressively subsumed : 0
% 0.18/0.49 % Contextual simplify-reflections : 11
% 0.18/0.49 % Paramodulations : 725
% 0.18/0.49 % Factorizations : 0
% 0.18/0.49 % NegExts : 0
% 0.18/0.49 % Equation resolutions : 0
% 0.18/0.49 % Disequality decompositions : 0
% 0.18/0.49 % Total rewrite steps : 166
% 0.18/0.49 % ...of those cached : 158
% 0.18/0.49 % Propositional unsat checks : 0
% 0.18/0.49 % Propositional check models : 0
% 0.18/0.49 % Propositional check unsatisfiable : 0
% 0.18/0.49 % Propositional clauses : 0
% 0.18/0.49 % Propositional clauses after purity: 0
% 0.18/0.49 % Propositional unsat core size : 0
% 0.18/0.49 % Propositional preprocessing time : 0.000
% 0.18/0.49 % Propositional encoding time : 0.000
% 0.18/0.49 % Propositional solver time : 0.000
% 0.18/0.49 % Success case prop preproc time : 0.000
% 0.18/0.49 % Success case prop encoding time : 0.000
% 0.18/0.49 % Success case prop solver time : 0.000
% 0.18/0.49 % Current number of processed clauses : 384
% 0.18/0.49 % Positive orientable unit clauses : 10
% 0.18/0.49 % Positive unorientable unit clauses: 0
% 0.18/0.49 % Negative unit clauses : 10
% 0.18/0.49 % Non-unit-clauses : 364
% 0.18/0.49 % Current number of unprocessed clauses: 29
% 0.18/0.49 % ...number of literals in the above : 126
% 0.18/0.49 % Current number of archived formulas : 0
% 0.18/0.49 % Current number of archived clauses : 86
% 0.18/0.49 % Clause-clause subsumption calls (NU) : 16215
% 0.18/0.49 % Rec. Clause-clause subsumption calls : 8818
% 0.18/0.49 % Non-unit clause-clause subsumptions : 222
% 0.18/0.49 % Unit Clause-clause subsumption calls : 294
% 0.18/0.49 % Rewrite failures with RHS unbound : 0
% 0.18/0.49 % BW rewrite match attempts : 6
% 0.18/0.49 % BW rewrite match successes : 2
% 0.18/0.49 % Condensation attempts : 0
% 0.18/0.49 % Condensation successes : 0
% 0.18/0.49 % Termbank termtop insertions : 13989
% 0.18/0.49 % Search garbage collected termcells : 115
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.045 s
% 0.18/0.49 % System time : 0.006 s
% 0.18/0.49 % Total time : 0.051 s
% 0.18/0.49 % Maximum resident set size: 3680 pages
% 0.18/0.49
% 0.18/0.49 % -------------------------------------------------
% 0.18/0.49 % User time : 0.046 s
% 0.18/0.49 % System time : 0.012 s
% 0.18/0.49 % Total time : 0.058 s
% 0.18/0.49 % Maximum resident set size: 4864 pages
% 0.18/0.49 % E exiting
%------------------------------------------------------------------------------