%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HWV007-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:47:18 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 48
% Syntax : Number of clauses : 212 ( 44 unt; 21 nHn; 212 RR)
% Number of literals : 448 ( 0 equ; 241 neg)
% Maximal clause size : 4 ( 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 : 145 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(value_propagation_one1,axiom,
( ~ one(X1)
| ~ connection(X1,X2)
| one(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( ~ fulladder(X1)
| connection(in2(X1),in1(h1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in2_in1h1) ).
cnf(fulladder_connection_inc_in2h1,axiom,
( ~ fulladder(X1)
| connection(inc(X1),in2(h1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_inc_in2h1) ).
cnf(value_propagation_zero1,axiom,
( ~ zero(X1)
| ~ connection(X1,X2)
| zero(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( ~ fulladder(X1)
| connection(outc(X1),out1(or1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outc_out1or1) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( ~ halfadder(X1)
| connection(in1(X1),in1(and2(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1and2) ).
cnf(halfadder_connection_in2_in2and2,axiom,
( ~ halfadder(X1)
| connection(in2(X1),in2(and2(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2and2) ).
cnf(in2_0,hypothesis,
one(in2(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).
cnf(f_isa_fulladder,hypothesis,
fulladder(f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).
cnf(inc_1,hypothesis,
one(inc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).
cnf(or_0_01,axiom,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in2(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_0_01) ).
cnf(outc_0,hypothesis,
zero(outc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
cnf(or_ok_or_abnormal,axiom,
( ~ logic_or(X1)
| abnormal(X1)
| or_ok(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).
cnf(fulladder_or1,axiom,
( ~ fulladder(X1)
| logic_or(or1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_or1) ).
cnf(fulladder_halfadder1,axiom,
( ~ fulladder(X1)
| halfadder(h1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder1) ).
cnf(value_propagation_zero2,axiom,
( ~ zero(X2)
| ~ connection(X1,X2)
| zero(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).
cnf(fulladder_connection_outch1_in2or1,axiom,
( ~ fulladder(X1)
| connection(outc(h1(X1)),in2(or1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch1_in2or1) ).
cnf(and_11_1,axiom,
( ~ one(in2(X1))
| ~ one(in1(X1))
| ~ and_ok(X1)
| one(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_11_1) ).
cnf(and_ok_or_abnormal,axiom,
( ~ logic_and(X1)
| abnormal(X1)
| and_ok(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).
cnf(halfadder_and2,axiom,
( ~ halfadder(X1)
| logic_and(and2(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and2) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( ~ halfadder(X1)
| connection(outc(X1),out1(and2(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).
cnf(diagnosis_and2h1,negated_conjecture,
~ abnormal(and2(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).
cnf(halfadder_connection_out1and2_in1not1,axiom,
( ~ halfadder(X1)
| connection(out1(and2(X1)),in1(not1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).
cnf(unique_value,axiom,
( ~ one(X1)
| ~ zero(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',unique_value) ).
cnf(not_1_0_fw,axiom,
( ~ one(in1(X1))
| ~ not_ok(X1)
| zero(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_1_0_fw) ).
cnf(not_ok_or_abnormal,axiom,
( ~ logic_not(X1)
| abnormal(X1)
| not_ok(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).
cnf(halfadder_not1,axiom,
( ~ halfadder(X1)
| logic_not(not1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).
cnf(diagnosis_or1_not1h1,negated_conjecture,
( ~ abnormal(not1(h1(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h1) ).
cnf(halfadder_connection_out1not1_in2and1,axiom,
( ~ halfadder(X1)
| connection(out1(not1(X1)),in2(and1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).
cnf(fulladder_connection_outs_outsh2,axiom,
( ~ fulladder(X1)
| connection(outs(X1),outs(h2(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outs_outsh2) ).
cnf(and_x0_0,axiom,
( ~ zero(in2(X1))
| ~ and_ok(X1)
| zero(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_x0_0) ).
cnf(halfadder_and1,axiom,
( ~ halfadder(X1)
| logic_and(and1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).
cnf(diagnosis_or1_and1h1,negated_conjecture,
( ~ abnormal(and1(h1(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h1) ).
cnf(halfadder_connection_outs_out1and1,axiom,
( ~ halfadder(X1)
| connection(outs(X1),out1(and1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).
cnf(outs_1,hypothesis,
one(outs(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).
cnf(fulladder_halfadder2,axiom,
( ~ fulladder(X1)
| halfadder(h2(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder2) ).
cnf(and_1_1x,axiom,
( ~ one(out1(X1))
| ~ and_ok(X1)
| one(in1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_1_1x) ).
cnf(diagnosis_or1_and1h2,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( ~ fulladder(X1)
| connection(in1(X1),in1(h2(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in1_in1h2) ).
cnf(fulladder_connection_outsh1_in2h2,axiom,
( ~ fulladder(X1)
| connection(outs(h1(X1)),in2(h2(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outsh1_in2h2) ).
cnf(halfadder_connection_in1_in1or1,axiom,
( ~ halfadder(X1)
| connection(in1(X1),in1(or1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1or1) ).
cnf(halfadder_connection_in2_in2or1,axiom,
( ~ halfadder(X1)
| connection(in2(X1),in2(or1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2or1) ).
cnf(value_propagation_one2,axiom,
( ~ one(X2)
| ~ connection(X1,X2)
| one(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).
cnf(halfadder_connection_out1or1_in1_and1,axiom,
( ~ halfadder(X1)
| connection(out1(or1(X1)),in1(and1(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).
cnf(in1_1,hypothesis,
zero(in1(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
cnf(or_1_11,axiom,
( ~ one(out1(X1))
| ~ or_ok(X1)
| one(in2(X1))
| one(in1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_1_11) ).
cnf(halfadder_or1,axiom,
( ~ halfadder(X1)
| logic_or(or1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).
cnf(diagnosis_or1_or1h2,negated_conjecture,
( ~ abnormal(or1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_or1h2) ).
cnf(c_0_48,plain,
( ~ one(X1)
| ~ connection(X1,X2)
| one(X2) ),
inference(fof_simplification,[status(thm)],[value_propagation_one1]) ).
cnf(c_0_49,plain,
( ~ fulladder(X1)
| connection(in2(X1),in1(h1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_in2_in1h1]) ).
cnf(c_0_50,plain,
( ~ fulladder(X1)
| connection(inc(X1),in2(h1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_inc_in2h1]) ).
cnf(c_0_51,plain,
( ~ zero(X1)
| ~ connection(X1,X2)
| zero(X2) ),
inference(fof_simplification,[status(thm)],[value_propagation_zero1]) ).
cnf(c_0_52,plain,
( ~ fulladder(X1)
| connection(outc(X1),out1(or1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outc_out1or1]) ).
cnf(c_0_53,plain,
( ~ halfadder(X1)
| connection(in1(X1),in1(and2(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_in1_in1and2]) ).
cnf(c_0_54,plain,
( ~ one(X1)
| ~ connection(X1,X2)
| one(X2) ),
c_0_48 ).
cnf(c_0_55,plain,
( ~ fulladder(X1)
| connection(in2(X1),in1(h1(X1))) ),
c_0_49 ).
cnf(c_0_56,plain,
( ~ halfadder(X1)
| connection(in2(X1),in2(and2(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_in2_in2and2]) ).
cnf(c_0_57,plain,
( ~ fulladder(X1)
| connection(inc(X1),in2(h1(X1))) ),
c_0_50 ).
cnf(c_0_58,plain,
( ~ zero(X1)
| ~ connection(X1,X2)
| zero(X2) ),
c_0_51 ).
cnf(c_0_59,plain,
( ~ fulladder(X1)
| connection(outc(X1),out1(or1(X1))) ),
c_0_52 ).
cnf(c_0_60,plain,
( ~ halfadder(X1)
| connection(in1(X1),in1(and2(X1))) ),
c_0_53 ).
cnf(c_0_61,plain,
( ~ one(in2(X1))
| ~ fulladder(X1)
| one(in1(h1(X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,hypothesis,
one(in2(f)),
in2_0 ).
cnf(c_0_63,hypothesis,
fulladder(f),
f_isa_fulladder ).
cnf(c_0_64,plain,
( ~ halfadder(X1)
| connection(in2(X1),in2(and2(X1))) ),
c_0_56 ).
cnf(c_0_65,plain,
( ~ one(inc(X1))
| ~ fulladder(X1)
| one(in2(h1(X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_57]) ).
cnf(c_0_66,hypothesis,
one(inc(f)),
inc_1 ).
cnf(c_0_67,plain,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in2(X1)) ),
inference(fof_simplification,[status(thm)],[or_0_01]) ).
cnf(c_0_68,plain,
( ~ zero(outc(X1))
| ~ fulladder(X1)
| zero(out1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,hypothesis,
zero(outc(f)),
outc_0 ).
cnf(c_0_70,plain,
( ~ logic_or(X1)
| abnormal(X1)
| or_ok(X1) ),
inference(fof_simplification,[status(thm)],[or_ok_or_abnormal]) ).
cnf(c_0_71,plain,
( ~ fulladder(X1)
| logic_or(or1(X1)) ),
inference(fof_simplification,[status(thm)],[fulladder_or1]) ).
cnf(c_0_72,plain,
( ~ one(in1(X1))
| ~ halfadder(X1)
| one(in1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_60]) ).
cnf(c_0_73,hypothesis,
one(in1(h1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_74,plain,
( ~ fulladder(X1)
| halfadder(h1(X1)) ),
inference(fof_simplification,[status(thm)],[fulladder_halfadder1]) ).
cnf(c_0_75,plain,
( ~ one(in2(X1))
| ~ halfadder(X1)
| one(in2(and2(X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_64]) ).
cnf(c_0_76,hypothesis,
one(in2(h1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_63])]) ).
cnf(c_0_77,plain,
( ~ zero(X2)
| ~ connection(X1,X2)
| zero(X1) ),
inference(fof_simplification,[status(thm)],[value_propagation_zero2]) ).
cnf(c_0_78,plain,
( ~ fulladder(X1)
| connection(outc(h1(X1)),in2(or1(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outch1_in2or1]) ).
cnf(c_0_79,plain,
( ~ zero(out1(X1))
| ~ or_ok(X1)
| zero(in2(X1)) ),
c_0_67 ).
cnf(c_0_80,hypothesis,
zero(out1(or1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_63])]) ).
cnf(c_0_81,plain,
( ~ logic_or(X1)
| abnormal(X1)
| or_ok(X1) ),
c_0_70 ).
cnf(c_0_82,plain,
( ~ fulladder(X1)
| logic_or(or1(X1)) ),
c_0_71 ).
cnf(c_0_83,plain,
( ~ one(in2(X1))
| ~ one(in1(X1))
| ~ and_ok(X1)
| one(out1(X1)) ),
inference(fof_simplification,[status(thm)],[and_11_1]) ).
cnf(c_0_84,hypothesis,
( ~ halfadder(h1(f))
| one(in1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_85,plain,
( ~ fulladder(X1)
| halfadder(h1(X1)) ),
c_0_74 ).
cnf(c_0_86,hypothesis,
( ~ halfadder(h1(f))
| one(in2(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_87,plain,
( ~ logic_and(X1)
| abnormal(X1)
| and_ok(X1) ),
inference(fof_simplification,[status(thm)],[and_ok_or_abnormal]) ).
cnf(c_0_88,plain,
( ~ halfadder(X1)
| logic_and(and2(X1)) ),
inference(fof_simplification,[status(thm)],[halfadder_and2]) ).
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(X2)
| ~ connection(X1,X2)
| zero(X1) ),
c_0_77 ).
cnf(c_0_91,plain,
( ~ fulladder(X1)
| connection(outc(h1(X1)),in2(or1(X1))) ),
c_0_78 ).
cnf(c_0_92,hypothesis,
( ~ or_ok(or1(f))
| zero(in2(or1(f))) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_93,plain,
( ~ fulladder(X1)
| abnormal(or1(X1))
| or_ok(or1(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_94,plain,
( ~ one(in2(X1))
| ~ one(in1(X1))
| ~ and_ok(X1)
| one(out1(X1)) ),
c_0_83 ).
cnf(c_0_95,hypothesis,
one(in1(and2(h1(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_63])]) ).
cnf(c_0_96,hypothesis,
one(in2(and2(h1(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_85]),c_0_63])]) ).
cnf(c_0_97,plain,
( ~ logic_and(X1)
| abnormal(X1)
| and_ok(X1) ),
c_0_87 ).
cnf(c_0_98,plain,
( ~ halfadder(X1)
| logic_and(and2(X1)) ),
c_0_88 ).
cnf(c_0_99,negated_conjecture,
~ abnormal(and2(h1(f))),
inference(fof_simplification,[status(thm)],[diagnosis_and2h1]) ).
cnf(c_0_100,plain,
( ~ halfadder(X1)
| connection(outc(X1),out1(and2(X1))) ),
c_0_89 ).
cnf(c_0_101,plain,
( ~ zero(in2(or1(X1)))
| ~ fulladder(X1)
| zero(outc(h1(X1))) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,hypothesis,
( zero(in2(or1(f)))
| abnormal(or1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_63])]) ).
cnf(c_0_103,plain,
( ~ halfadder(X1)
| connection(out1(and2(X1)),in1(not1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_out1and2_in1not1]) ).
cnf(c_0_104,hypothesis,
( ~ and_ok(and2(h1(f)))
| one(out1(and2(h1(f)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).
cnf(c_0_105,plain,
( ~ halfadder(X1)
| and_ok(and2(X1))
| abnormal(and2(X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
~ abnormal(and2(h1(f))),
c_0_99 ).
cnf(c_0_107,plain,
( ~ zero(outc(X1))
| ~ halfadder(X1)
| zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_58,c_0_100]) ).
cnf(c_0_108,hypothesis,
( zero(outc(h1(f)))
| abnormal(or1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_63])]) ).
cnf(c_0_109,plain,
( ~ halfadder(X1)
| connection(out1(and2(X1)),in1(not1(X1))) ),
c_0_103 ).
cnf(c_0_110,hypothesis,
( ~ halfadder(h1(f))
| one(out1(and2(h1(f)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
cnf(c_0_111,plain,
( ~ one(X1)
| ~ zero(X1) ),
inference(fof_simplification,[status(thm)],[unique_value]) ).
cnf(c_0_112,hypothesis,
( ~ halfadder(h1(f))
| zero(out1(and2(h1(f))))
| abnormal(or1(f)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,plain,
( ~ one(out1(and2(X1)))
| ~ halfadder(X1)
| one(in1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_109]) ).
cnf(c_0_114,hypothesis,
one(out1(and2(h1(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_85]),c_0_63])]) ).
cnf(c_0_115,plain,
( ~ one(X1)
| ~ zero(X1) ),
c_0_111 ).
cnf(c_0_116,hypothesis,
( zero(out1(and2(h1(f))))
| abnormal(or1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_85]),c_0_63])]) ).
cnf(c_0_117,plain,
( ~ one(in1(X1))
| ~ not_ok(X1)
| zero(out1(X1)) ),
inference(fof_simplification,[status(thm)],[not_1_0_fw]) ).
cnf(c_0_118,hypothesis,
( ~ halfadder(h1(f))
| one(in1(not1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,plain,
( ~ logic_not(X1)
| abnormal(X1)
| not_ok(X1) ),
inference(fof_simplification,[status(thm)],[not_ok_or_abnormal]) ).
cnf(c_0_120,plain,
( ~ halfadder(X1)
| logic_not(not1(X1)) ),
inference(fof_simplification,[status(thm)],[halfadder_not1]) ).
cnf(c_0_121,negated_conjecture,
( ~ abnormal(not1(h1(f)))
| ~ abnormal(or1(f)) ),
inference(fof_simplification,[status(thm)],[diagnosis_or1_not1h1]) ).
cnf(c_0_122,hypothesis,
( ~ one(out1(and2(h1(f))))
| abnormal(or1(f)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,plain,
( ~ one(in1(X1))
| ~ not_ok(X1)
| zero(out1(X1)) ),
c_0_117 ).
cnf(c_0_124,hypothesis,
one(in1(not1(h1(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_85]),c_0_63])]) ).
cnf(c_0_125,plain,
( ~ logic_not(X1)
| abnormal(X1)
| not_ok(X1) ),
c_0_119 ).
cnf(c_0_126,plain,
( ~ halfadder(X1)
| logic_not(not1(X1)) ),
c_0_120 ).
cnf(c_0_127,negated_conjecture,
( ~ abnormal(not1(h1(f)))
| ~ abnormal(or1(f)) ),
c_0_121 ).
cnf(c_0_128,hypothesis,
abnormal(or1(f)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_114])]) ).
cnf(c_0_129,plain,
( ~ halfadder(X1)
| connection(out1(not1(X1)),in2(and1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_out1not1_in2and1]) ).
cnf(c_0_130,hypothesis,
( ~ not_ok(not1(h1(f)))
| zero(out1(not1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_131,plain,
( ~ halfadder(X1)
| abnormal(not1(X1))
| not_ok(not1(X1)) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
~ abnormal(not1(h1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).
cnf(c_0_133,plain,
( ~ halfadder(X1)
| connection(out1(not1(X1)),in2(and1(X1))) ),
c_0_129 ).
cnf(c_0_134,hypothesis,
( ~ halfadder(h1(f))
| zero(out1(not1(h1(f)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_135,plain,
( ~ zero(out1(not1(X1)))
| ~ halfadder(X1)
| zero(in2(and1(X1))) ),
inference(spm,[status(thm)],[c_0_58,c_0_133]) ).
cnf(c_0_136,hypothesis,
zero(out1(not1(h1(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_85]),c_0_63])]) ).
cnf(c_0_137,plain,
( ~ fulladder(X1)
| connection(outs(X1),outs(h2(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outs_outsh2]) ).
cnf(c_0_138,plain,
( ~ zero(in2(X1))
| ~ and_ok(X1)
| zero(out1(X1)) ),
inference(fof_simplification,[status(thm)],[and_x0_0]) ).
cnf(c_0_139,hypothesis,
( ~ halfadder(h1(f))
| zero(in2(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_140,plain,
( ~ halfadder(X1)
| logic_and(and1(X1)) ),
inference(fof_simplification,[status(thm)],[halfadder_and1]) ).
cnf(c_0_141,negated_conjecture,
( ~ abnormal(and1(h1(f)))
| ~ abnormal(or1(f)) ),
inference(fof_simplification,[status(thm)],[diagnosis_or1_and1h1]) ).
cnf(c_0_142,plain,
( ~ halfadder(X1)
| connection(outs(X1),out1(and1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_outs_out1and1]) ).
cnf(c_0_143,plain,
( ~ fulladder(X1)
| connection(outs(X1),outs(h2(X1))) ),
c_0_137 ).
cnf(c_0_144,plain,
( ~ zero(in2(X1))
| ~ and_ok(X1)
| zero(out1(X1)) ),
c_0_138 ).
cnf(c_0_145,hypothesis,
zero(in2(and1(h1(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_85]),c_0_63])]) ).
cnf(c_0_146,plain,
( ~ halfadder(X1)
| logic_and(and1(X1)) ),
c_0_140 ).
cnf(c_0_147,negated_conjecture,
( ~ abnormal(and1(h1(f)))
| ~ abnormal(or1(f)) ),
c_0_141 ).
cnf(c_0_148,plain,
( ~ halfadder(X1)
| connection(outs(X1),out1(and1(X1))) ),
c_0_142 ).
cnf(c_0_149,plain,
( ~ one(outs(X1))
| ~ fulladder(X1)
| one(outs(h2(X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_143]) ).
cnf(c_0_150,hypothesis,
one(outs(f)),
outs_1 ).
cnf(c_0_151,hypothesis,
( ~ and_ok(and1(h1(f)))
| zero(out1(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_152,plain,
( ~ halfadder(X1)
| and_ok(and1(X1))
| abnormal(and1(X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_146]) ).
cnf(c_0_153,negated_conjecture,
~ abnormal(and1(h1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_128])]) ).
cnf(c_0_154,plain,
( ~ one(outs(X1))
| ~ halfadder(X1)
| one(out1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_54,c_0_148]) ).
cnf(c_0_155,hypothesis,
one(outs(h2(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_63])]) ).
cnf(c_0_156,plain,
( ~ fulladder(X1)
| halfadder(h2(X1)) ),
inference(fof_simplification,[status(thm)],[fulladder_halfadder2]) ).
cnf(c_0_157,hypothesis,
( ~ halfadder(h1(f))
| zero(out1(and1(h1(f)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_158,plain,
( ~ one(out1(X1))
| ~ and_ok(X1)
| one(in1(X1)) ),
inference(fof_simplification,[status(thm)],[and_1_1x]) ).
cnf(c_0_159,hypothesis,
( ~ halfadder(h2(f))
| one(out1(and1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_160,plain,
( ~ fulladder(X1)
| halfadder(h2(X1)) ),
c_0_156 ).
cnf(c_0_161,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(fof_simplification,[status(thm)],[diagnosis_or1_and1h2]) ).
cnf(c_0_162,plain,
( ~ fulladder(X1)
| connection(in1(X1),in1(h2(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_in1_in1h2]) ).
cnf(c_0_163,plain,
( ~ fulladder(X1)
| connection(outs(h1(X1)),in2(h2(X1))) ),
inference(fof_simplification,[status(thm)],[fulladder_connection_outsh1_in2h2]) ).
cnf(c_0_164,plain,
( ~ zero(out1(and1(X1)))
| ~ halfadder(X1)
| zero(outs(X1)) ),
inference(spm,[status(thm)],[c_0_90,c_0_148]) ).
cnf(c_0_165,hypothesis,
zero(out1(and1(h1(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_85]),c_0_63])]) ).
cnf(c_0_166,plain,
( ~ one(out1(X1))
| ~ and_ok(X1)
| one(in1(X1)) ),
c_0_158 ).
cnf(c_0_167,hypothesis,
one(out1(and1(h2(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_63])]) ).
cnf(c_0_168,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
c_0_161 ).
cnf(c_0_169,plain,
( ~ halfadder(X1)
| connection(in1(X1),in1(or1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_in1_in1or1]) ).
cnf(c_0_170,plain,
( ~ fulladder(X1)
| connection(in1(X1),in1(h2(X1))) ),
c_0_162 ).
cnf(c_0_171,plain,
( ~ halfadder(X1)
| connection(in2(X1),in2(or1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_in2_in2or1]) ).
cnf(c_0_172,plain,
( ~ fulladder(X1)
| connection(outs(h1(X1)),in2(h2(X1))) ),
c_0_163 ).
cnf(c_0_173,hypothesis,
( ~ halfadder(h1(f))
| zero(outs(h1(f))) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_174,plain,
( ~ one(X2)
| ~ connection(X1,X2)
| one(X1) ),
inference(fof_simplification,[status(thm)],[value_propagation_one2]) ).
cnf(c_0_175,plain,
( ~ halfadder(X1)
| connection(out1(or1(X1)),in1(and1(X1))) ),
inference(fof_simplification,[status(thm)],[halfadder_connection_out1or1_in1_and1]) ).
cnf(c_0_176,hypothesis,
( ~ and_ok(and1(h2(f)))
| one(in1(and1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_177,negated_conjecture,
~ abnormal(and1(h2(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_128])]) ).
cnf(c_0_178,plain,
( ~ halfadder(X1)
| connection(in1(X1),in1(or1(X1))) ),
c_0_169 ).
cnf(c_0_179,plain,
( ~ zero(in1(X1))
| ~ fulladder(X1)
| zero(in1(h2(X1))) ),
inference(spm,[status(thm)],[c_0_58,c_0_170]) ).
cnf(c_0_180,hypothesis,
zero(in1(f)),
in1_1 ).
cnf(c_0_181,plain,
( ~ halfadder(X1)
| connection(in2(X1),in2(or1(X1))) ),
c_0_171 ).
cnf(c_0_182,plain,
( ~ zero(outs(h1(X1)))
| ~ fulladder(X1)
| zero(in2(h2(X1))) ),
inference(spm,[status(thm)],[c_0_58,c_0_172]) ).
cnf(c_0_183,hypothesis,
zero(outs(h1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_85]),c_0_63])]) ).
cnf(c_0_184,plain,
( ~ one(X2)
| ~ connection(X1,X2)
| one(X1) ),
c_0_174 ).
cnf(c_0_185,plain,
( ~ halfadder(X1)
| connection(out1(or1(X1)),in1(and1(X1))) ),
c_0_175 ).
cnf(c_0_186,hypothesis,
( ~ halfadder(h2(f))
| one(in1(and1(h2(f)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_152]),c_0_177]) ).
cnf(c_0_187,plain,
( ~ zero(in1(X1))
| ~ halfadder(X1)
| zero(in1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_58,c_0_178]) ).
cnf(c_0_188,hypothesis,
zero(in1(h2(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_63])]) ).
cnf(c_0_189,plain,
( ~ zero(in2(X1))
| ~ halfadder(X1)
| zero(in2(or1(X1))) ),
inference(spm,[status(thm)],[c_0_58,c_0_181]) ).
cnf(c_0_190,hypothesis,
zero(in2(h2(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_63])]) ).
cnf(c_0_191,plain,
( ~ one(in1(and1(X1)))
| ~ halfadder(X1)
| one(out1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_192,hypothesis,
one(in1(and1(h2(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_160]),c_0_63])]) ).
cnf(c_0_193,hypothesis,
( ~ halfadder(h2(f))
| zero(in1(or1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_194,hypothesis,
( ~ halfadder(h2(f))
| zero(in2(or1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_195,plain,
( ~ one(out1(X1))
| ~ or_ok(X1)
| one(in2(X1))
| one(in1(X1)) ),
inference(fof_simplification,[status(thm)],[or_1_11]) ).
cnf(c_0_196,hypothesis,
( ~ halfadder(h2(f))
| one(out1(or1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_197,hypothesis,
zero(in1(or1(h2(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_160]),c_0_63])]) ).
cnf(c_0_198,hypothesis,
zero(in2(or1(h2(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_160]),c_0_63])]) ).
cnf(c_0_199,plain,
( ~ halfadder(X1)
| logic_or(or1(X1)) ),
inference(fof_simplification,[status(thm)],[halfadder_or1]) ).
cnf(c_0_200,negated_conjecture,
( ~ abnormal(or1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(fof_simplification,[status(thm)],[diagnosis_or1_or1h2]) ).
cnf(c_0_201,plain,
( ~ one(out1(X1))
| ~ or_ok(X1)
| one(in2(X1))
| one(in1(X1)) ),
c_0_195 ).
cnf(c_0_202,hypothesis,
one(out1(or1(h2(f)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_160]),c_0_63])]) ).
cnf(c_0_203,hypothesis,
~ one(in1(or1(h2(f)))),
inference(spm,[status(thm)],[c_0_115,c_0_197]) ).
cnf(c_0_204,hypothesis,
~ one(in2(or1(h2(f)))),
inference(spm,[status(thm)],[c_0_115,c_0_198]) ).
cnf(c_0_205,plain,
( ~ halfadder(X1)
| logic_or(or1(X1)) ),
c_0_199 ).
cnf(c_0_206,negated_conjecture,
( ~ abnormal(or1(h2(f)))
| ~ abnormal(or1(f)) ),
c_0_200 ).
cnf(c_0_207,hypothesis,
~ or_ok(or1(h2(f))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]),c_0_204]) ).
cnf(c_0_208,plain,
( ~ halfadder(X1)
| abnormal(or1(X1))
| or_ok(or1(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_205]) ).
cnf(c_0_209,negated_conjecture,
~ abnormal(or1(h2(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_128])]) ).
cnf(c_0_210,hypothesis,
~ halfadder(h2(f)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).
cnf(c_0_211,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_160]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV007-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.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
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:49:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46 % Version: 3.5.1
% 0.10/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.46 % Starting sh5l with 300s (1) cores
% 0.10/0.46 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2582289 completed with status 0
% 0.10/0.46 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.46 % No SInE strategy applied
% 0.10/0.46 % Search class: FGHNF-FFMM11-SFFFFFNN
% 0.10/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.46 % Starting new_bool_1 with 136s (1) cores
% 0.10/0.46 % new_bool_3 with pid 2582300 completed with status 0
% 0.10/0.46 % Result found by new_bool_3
% 0.10/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.46 % No SInE strategy applied
% 0.10/0.46 % Search class: FGHNF-FFMM11-SFFFFFNN
% 0.10/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.46 % Preprocessing time : 0.002 s
% 0.10/0.46 % Presaturation interreduction done
% 0.10/0.46
% 0.10/0.46 % Proof found!
% 0.10/0.46 % SZS status Unsatisfiable
% 0.10/0.46 % SZS output start CNFRefutation
% See solution above
% 0.10/0.46 % Parsed axioms : 62
% 0.10/0.46 % Removed by relevancy pruning/SinE : 0
% 0.10/0.46 % Initial clauses : 62
% 0.10/0.46 % Removed in clause preprocessing : 0
% 0.10/0.46 % Initial clauses in saturation : 62
% 0.10/0.46 % Processed clauses : 374
% 0.10/0.46 % ...of these trivial : 0
% 0.10/0.46 % ...subsumed : 13
% 0.10/0.46 % ...remaining for further processing : 361
% 0.10/0.46 % Other redundant clauses eliminated : 0
% 0.10/0.46 % Clauses deleted for lack of memory : 0
% 0.10/0.46 % Backward-subsumed : 12
% 0.10/0.46 % Backward-rewritten : 46
% 0.10/0.46 % Generated clauses : 320
% 0.10/0.46 % ...of the previous two non-redundant : 287
% 0.10/0.46 % ...aggressively subsumed : 0
% 0.10/0.46 % Contextual simplify-reflections : 0
% 0.10/0.46 % Paramodulations : 320
% 0.10/0.46 % Factorizations : 0
% 0.10/0.46 % NegExts : 0
% 0.10/0.46 % Equation resolutions : 0
% 0.10/0.46 % Disequality decompositions : 0
% 0.10/0.46 % Total rewrite steps : 127
% 0.10/0.46 % ...of those cached : 95
% 0.10/0.46 % Propositional unsat checks : 0
% 0.10/0.46 % Propositional check models : 0
% 0.10/0.46 % Propositional check unsatisfiable : 0
% 0.10/0.46 % Propositional clauses : 0
% 0.10/0.46 % Propositional clauses after purity: 0
% 0.10/0.46 % Propositional unsat core size : 0
% 0.10/0.46 % Propositional preprocessing time : 0.000
% 0.10/0.46 % Propositional encoding time : 0.000
% 0.10/0.46 % Propositional solver time : 0.000
% 0.10/0.46 % Success case prop preproc time : 0.000
% 0.10/0.46 % Success case prop encoding time : 0.000
% 0.10/0.46 % Success case prop solver time : 0.000
% 0.10/0.46 % Current number of processed clauses : 241
% 0.10/0.46 % Positive orientable unit clauses : 32
% 0.10/0.46 % Positive unorientable unit clauses: 0
% 0.10/0.46 % Negative unit clauses : 23
% 0.10/0.46 % Non-unit-clauses : 186
% 0.10/0.46 % Current number of unprocessed clauses: 37
% 0.10/0.46 % ...number of literals in the above : 91
% 0.10/0.46 % Current number of archived formulas : 0
% 0.10/0.46 % Current number of archived clauses : 120
% 0.10/0.46 % Clause-clause subsumption calls (NU) : 2471
% 0.10/0.46 % Rec. Clause-clause subsumption calls : 2352
% 0.10/0.46 % Non-unit clause-clause subsumptions : 14
% 0.10/0.46 % Unit Clause-clause subsumption calls : 348
% 0.10/0.46 % Rewrite failures with RHS unbound : 0
% 0.10/0.46 % BW rewrite match attempts : 63
% 0.10/0.46 % BW rewrite match successes : 21
% 0.10/0.46 % Condensation attempts : 0
% 0.10/0.46 % Condensation successes : 0
% 0.10/0.46 % Termbank termtop insertions : 7580
% 0.10/0.46 % Search garbage collected termcells : 113
% 0.10/0.46
% 0.10/0.46 % -------------------------------------------------
% 0.10/0.46 % User time : 0.019 s
% 0.10/0.46 % System time : 0.010 s
% 0.10/0.46 % Total time : 0.029 s
% 0.10/0.46 % Maximum resident set size: 3624 pages
% 0.10/0.46
% 0.10/0.46 % -------------------------------------------------
% 0.10/0.46 % User time : 0.107 s
% 0.10/0.46 % System time : 0.022 s
% 0.10/0.46 % Total time : 0.129 s
% 0.10/0.46 % Maximum resident set size: 4608 pages
% 0.10/0.46 % E exiting
%------------------------------------------------------------------------------