%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV006-2 : TPTP v9.2.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:28:53 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.74s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 53
% Syntax : Number of clauses : 198 ( 33 unt; 32 nHn; 198 RR)
% Number of literals : 470 ( 0 equ; 265 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 : 124 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(and_ok_or_abnormal,axiom,
( and_ok(X1)
| abnormal(X1)
| ~ logic_and(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).
cnf(halfadder_and1,axiom,
( logic_and(and1(X1))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).
cnf(fulladder_halfadder2,axiom,
( halfadder(h2(X1))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder2) ).
cnf(f_isa_fulladder,hypothesis,
fulladder(f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).
cnf(and_1_x1,axiom,
( one(in2(X1))
| ~ and_ok(X1)
| ~ one(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_1_x1) ).
cnf(value_propagation_one1,axiom,
( one(X2)
| ~ connection(X1,X2)
| ~ one(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).
cnf(halfadder_connection_outs_out1and1,axiom,
( connection(outs(X1),out1(and1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).
cnf(not_ok_or_abnormal,axiom,
( not_ok(X1)
| abnormal(X1)
| ~ logic_not(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).
cnf(halfadder_not1,axiom,
( logic_not(not1(X1))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).
cnf(fulladder_connection_outs_outsh2,axiom,
( connection(outs(X1),outs(h2(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outs_outsh2) ).
cnf(outs_1,hypothesis,
one(outs(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).
cnf(or_ok_or_abnormal,axiom,
( or_ok(X1)
| abnormal(X1)
| ~ logic_or(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).
cnf(halfadder_or1,axiom,
( logic_or(or1(X1))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).
cnf(value_propagation_one2,axiom,
( one(X1)
| ~ connection(X1,X2)
| ~ one(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).
cnf(halfadder_connection_out1not1_in2and1,axiom,
( connection(out1(not1(X1)),in2(and1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).
cnf(diagnosis_or1_and1h2,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(and1(h2(f))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
cnf(fulladder_halfadder1,axiom,
( halfadder(h1(X1))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder1) ).
cnf(halfadder_and2,axiom,
( logic_and(and2(X1))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and2) ).
cnf(not_1_0_bw,axiom,
( zero(in1(X1))
| ~ not_ok(X1)
| ~ one(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_1_0_bw) ).
cnf(fulladder_or1,axiom,
( logic_or(or1(X1))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_or1) ).
cnf(diagnosis_and1h1,negated_conjecture,
~ abnormal(and1(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1h1) ).
cnf(diagnosis_not1h1,negated_conjecture,
~ abnormal(not1(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1h1) ).
cnf(diagnosis_or1h1,negated_conjecture,
~ abnormal(or1(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1h1) ).
cnf(fulladder_connection_inc_in2h1,axiom,
( connection(inc(X1),in2(h1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_inc_in2h1) ).
cnf(value_propagation_zero2,axiom,
( zero(X1)
| ~ connection(X1,X2)
| ~ zero(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).
cnf(halfadder_connection_out1and2_in1not1,axiom,
( connection(out1(and2(X1)),in1(not1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).
cnf(diagnosis_or1_not1h2,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(not1(h2(f))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).
cnf(value_propagation_zero1,axiom,
( zero(X2)
| ~ connection(X1,X2)
| ~ zero(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( connection(outc(X1),out1(or1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outc_out1or1) ).
cnf(and_11_1,axiom,
( one(out1(X1))
| ~ and_ok(X1)
| ~ one(in1(X1))
| ~ one(in2(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_11_1) ).
cnf(not_0_1_fw,axiom,
( one(out1(X1))
| ~ not_ok(X1)
| ~ zero(in1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_0_1_fw) ).
cnf(or_x1_1,axiom,
( one(out1(X1))
| ~ or_ok(X1)
| ~ one(in2(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_x1_1) ).
cnf(halfadder_connection_in2_in2or1,axiom,
( connection(in2(X1),in2(or1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2or1) ).
cnf(inc_1,hypothesis,
one(inc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).
cnf(diagnosis_and2,negated_conjecture,
~ abnormal(and2(h2(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( connection(outc(X1),out1(and2(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).
cnf(or_0_0x,axiom,
( zero(in1(X1))
| ~ or_ok(X1)
| ~ zero(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_0_0x) ).
cnf(outc_0,hypothesis,
zero(outc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
cnf(halfadder_connection_in2_in2and2,axiom,
( connection(in2(X1),in2(and2(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2and2) ).
cnf(fulladder_connection_outch2_in1or1,axiom,
( connection(outc(h2(X1)),in1(or1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch2_in1or1) ).
cnf(or_1_11,axiom,
( one(in1(X1))
| one(in2(X1))
| ~ or_ok(X1)
| ~ one(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_1_11) ).
cnf(unique_value,axiom,
( ~ zero(X1)
| ~ one(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',unique_value) ).
cnf(or_1x_1,axiom,
( one(out1(X1))
| ~ or_ok(X1)
| ~ one(in1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_1x_1) ).
cnf(halfadder_connection_out1or1_in1_and1,axiom,
( connection(out1(or1(X1)),in1(and1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).
cnf(diagnosis_and2h1,negated_conjecture,
~ abnormal(and2(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( connection(in1(X1),in1(and2(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1and2) ).
cnf(fulladder_connection_outch1_in2or1,axiom,
( connection(outc(h1(X1)),in2(or1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch1_in2or1) ).
cnf(and_0x_0,axiom,
( zero(out1(X1))
| ~ and_ok(X1)
| ~ zero(in1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_0x_0) ).
cnf(fulladder_connection_outsh1_in2h2,axiom,
( connection(outs(h1(X1)),in2(h2(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outsh1_in2h2) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( connection(in2(X1),in1(h1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in2_in1h1) ).
cnf(in2_0,hypothesis,
zero(in2(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( connection(in1(X1),in1(h2(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in1_in1h2) ).
cnf(in1_1,hypothesis,
one(in1(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
cnf(c_0_53,axiom,
( and_ok(X1)
| abnormal(X1)
| ~ logic_and(X1) ),
and_ok_or_abnormal ).
cnf(c_0_54,axiom,
( logic_and(and1(X1))
| ~ halfadder(X1) ),
halfadder_and1 ).
cnf(c_0_55,plain,
( abnormal(and1(X1))
| and_ok(and1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,axiom,
( halfadder(h2(X1))
| ~ fulladder(X1) ),
fulladder_halfadder2 ).
cnf(c_0_57,plain,
( abnormal(and1(h2(X1)))
| and_ok(and1(h2(X1)))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,hypothesis,
fulladder(f),
f_isa_fulladder ).
cnf(c_0_59,axiom,
( one(in2(X1))
| ~ and_ok(X1)
| ~ one(out1(X1)) ),
and_1_x1 ).
cnf(c_0_60,hypothesis,
( abnormal(and1(h2(f)))
| and_ok(and1(h2(f))) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,axiom,
( one(X2)
| ~ connection(X1,X2)
| ~ one(X1) ),
value_propagation_one1 ).
cnf(c_0_62,axiom,
( connection(outs(X1),out1(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_outs_out1and1 ).
cnf(c_0_63,hypothesis,
( abnormal(and1(h2(f)))
| one(in2(and1(h2(f))))
| ~ one(out1(and1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( one(out1(and1(X1)))
| ~ halfadder(X1)
| ~ one(outs(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,axiom,
( not_ok(X1)
| abnormal(X1)
| ~ logic_not(X1) ),
not_ok_or_abnormal ).
cnf(c_0_66,axiom,
( logic_not(not1(X1))
| ~ halfadder(X1) ),
halfadder_not1 ).
cnf(c_0_67,hypothesis,
( abnormal(and1(h2(f)))
| one(in2(and1(h2(f))))
| ~ halfadder(h2(f))
| ~ one(outs(h2(f))) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,axiom,
( connection(outs(X1),outs(h2(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outs_outsh2 ).
cnf(c_0_69,plain,
( not_ok(not1(X1))
| abnormal(not1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,hypothesis,
( abnormal(and1(h2(f)))
| one(in2(and1(h2(f))))
| ~ one(outs(h2(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_56]),c_0_58])]) ).
cnf(c_0_71,plain,
( one(outs(h2(X1)))
| ~ fulladder(X1)
| ~ one(outs(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_68]) ).
cnf(c_0_72,hypothesis,
one(outs(f)),
outs_1 ).
cnf(c_0_73,axiom,
( or_ok(X1)
| abnormal(X1)
| ~ logic_or(X1) ),
or_ok_or_abnormal ).
cnf(c_0_74,axiom,
( logic_or(or1(X1))
| ~ halfadder(X1) ),
halfadder_or1 ).
cnf(c_0_75,plain,
( not_ok(not1(h2(X1)))
| abnormal(not1(h2(X1)))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_56]) ).
cnf(c_0_76,axiom,
( one(X1)
| ~ connection(X1,X2)
| ~ one(X2) ),
value_propagation_one2 ).
cnf(c_0_77,axiom,
( connection(out1(not1(X1)),in2(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1not1_in2and1 ).
cnf(c_0_78,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(and1(h2(f))) ),
diagnosis_or1_and1h2 ).
cnf(c_0_79,hypothesis,
( abnormal(and1(h2(f)))
| one(in2(and1(h2(f)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_58]),c_0_72])]) ).
cnf(c_0_80,axiom,
( halfadder(h1(X1))
| ~ fulladder(X1) ),
fulladder_halfadder1 ).
cnf(c_0_81,plain,
( or_ok(or1(X1))
| abnormal(or1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,axiom,
( logic_and(and2(X1))
| ~ halfadder(X1) ),
halfadder_and2 ).
cnf(c_0_83,axiom,
( zero(in1(X1))
| ~ not_ok(X1)
| ~ one(out1(X1)) ),
not_1_0_bw ).
cnf(c_0_84,hypothesis,
( not_ok(not1(h2(f)))
| abnormal(not1(h2(f))) ),
inference(spm,[status(thm)],[c_0_75,c_0_58]) ).
cnf(c_0_85,plain,
( one(out1(not1(X1)))
| ~ halfadder(X1)
| ~ one(in2(and1(X1))) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( one(in2(and1(h2(f))))
| ~ abnormal(or1(f)) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_87,axiom,
( logic_or(or1(X1))
| ~ fulladder(X1) ),
fulladder_or1 ).
cnf(c_0_88,plain,
( abnormal(and1(h1(X1)))
| and_ok(and1(h1(X1)))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_80]) ).
cnf(c_0_89,negated_conjecture,
~ abnormal(and1(h1(f))),
diagnosis_and1h1 ).
cnf(c_0_90,plain,
( not_ok(not1(h1(X1)))
| abnormal(not1(h1(X1)))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
~ abnormal(not1(h1(f))),
diagnosis_not1h1 ).
cnf(c_0_92,plain,
( or_ok(or1(h1(X1)))
| abnormal(or1(h1(X1)))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_80]) ).
cnf(c_0_93,negated_conjecture,
~ abnormal(or1(h1(f))),
diagnosis_or1h1 ).
cnf(c_0_94,axiom,
( connection(inc(X1),in2(h1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_inc_in2h1 ).
cnf(c_0_95,plain,
( abnormal(and2(X1))
| and_ok(and2(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_82]) ).
cnf(c_0_96,axiom,
( zero(X1)
| ~ connection(X1,X2)
| ~ zero(X2) ),
value_propagation_zero2 ).
cnf(c_0_97,axiom,
( connection(out1(and2(X1)),in1(not1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1and2_in1not1 ).
cnf(c_0_98,hypothesis,
( abnormal(not1(h2(f)))
| zero(in1(not1(h2(f))))
| ~ one(out1(not1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_99,negated_conjecture,
( one(out1(not1(h2(f))))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f)) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_100,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(not1(h2(f))) ),
diagnosis_or1_not1h2 ).
cnf(c_0_101,plain,
( or_ok(or1(X1))
| abnormal(or1(X1))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_87]) ).
cnf(c_0_102,axiom,
( zero(X2)
| ~ connection(X1,X2)
| ~ zero(X1) ),
value_propagation_zero1 ).
cnf(c_0_103,axiom,
( connection(outc(X1),out1(or1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outc_out1or1 ).
cnf(c_0_104,axiom,
( one(out1(X1))
| ~ and_ok(X1)
| ~ one(in1(X1))
| ~ one(in2(X1)) ),
and_11_1 ).
cnf(c_0_105,hypothesis,
and_ok(and1(h1(f))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_58]),c_0_89]) ).
cnf(c_0_106,axiom,
( one(out1(X1))
| ~ not_ok(X1)
| ~ zero(in1(X1)) ),
not_0_1_fw ).
cnf(c_0_107,hypothesis,
not_ok(not1(h1(f))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_58]),c_0_91]) ).
cnf(c_0_108,axiom,
( one(out1(X1))
| ~ or_ok(X1)
| ~ one(in2(X1)) ),
or_x1_1 ).
cnf(c_0_109,hypothesis,
or_ok(or1(h1(f))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_58]),c_0_93]) ).
cnf(c_0_110,axiom,
( connection(in2(X1),in2(or1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_in2_in2or1 ).
cnf(c_0_111,plain,
( one(in2(h1(X1)))
| ~ fulladder(X1)
| ~ one(inc(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_94]) ).
cnf(c_0_112,hypothesis,
one(inc(f)),
inc_1 ).
cnf(c_0_113,plain,
( abnormal(and2(h2(X1)))
| and_ok(and2(h2(X1)))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_56]) ).
cnf(c_0_114,negated_conjecture,
~ abnormal(and2(h2(f))),
diagnosis_and2 ).
cnf(c_0_115,axiom,
( connection(outc(X1),out1(and2(X1)))
| ~ halfadder(X1) ),
halfadder_connection_outc_out1and2 ).
cnf(c_0_116,plain,
( zero(out1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(in1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_117,hypothesis,
( zero(in1(not1(h2(f))))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_118,axiom,
( zero(in1(X1))
| ~ or_ok(X1)
| ~ zero(out1(X1)) ),
or_0_0x ).
cnf(c_0_119,hypothesis,
( or_ok(or1(f))
| abnormal(or1(f)) ),
inference(spm,[status(thm)],[c_0_101,c_0_58]) ).
cnf(c_0_120,plain,
( zero(out1(or1(X1)))
| ~ fulladder(X1)
| ~ zero(outc(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_121,hypothesis,
zero(outc(f)),
outc_0 ).
cnf(c_0_122,hypothesis,
( one(out1(and1(h1(f))))
| ~ one(in1(and1(h1(f))))
| ~ one(in2(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_123,plain,
( one(in2(and1(X1)))
| ~ halfadder(X1)
| ~ one(out1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_61,c_0_77]) ).
cnf(c_0_124,hypothesis,
( one(out1(not1(h1(f))))
| ~ zero(in1(not1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_125,plain,
( zero(in1(not1(X1)))
| ~ halfadder(X1)
| ~ zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_102,c_0_97]) ).
cnf(c_0_126,hypothesis,
( one(out1(or1(h1(f))))
| ~ one(in2(or1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_127,plain,
( one(in2(or1(X1)))
| ~ halfadder(X1)
| ~ one(in2(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_110]) ).
cnf(c_0_128,hypothesis,
one(in2(h1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_58])]) ).
cnf(c_0_129,hypothesis,
and_ok(and2(h2(f))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_58]),c_0_114]) ).
cnf(c_0_130,axiom,
( connection(in2(X1),in2(and2(X1)))
| ~ halfadder(X1) ),
halfadder_connection_in2_in2and2 ).
cnf(c_0_131,axiom,
( connection(outc(h2(X1)),in1(or1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outch2_in1or1 ).
cnf(c_0_132,plain,
( zero(outc(X1))
| ~ halfadder(X1)
| ~ zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_115]) ).
cnf(c_0_133,hypothesis,
( zero(out1(and2(h2(f))))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f)) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_134,hypothesis,
( abnormal(or1(f))
| zero(in1(or1(f)))
| ~ zero(out1(or1(f))) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_135,hypothesis,
zero(out1(or1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_58])]) ).
cnf(c_0_136,hypothesis,
( one(out1(and1(h1(f))))
| ~ halfadder(h1(f))
| ~ one(in1(and1(h1(f))))
| ~ one(out1(not1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_137,hypothesis,
( one(out1(not1(h1(f))))
| ~ halfadder(h1(f))
| ~ zero(out1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_138,axiom,
( one(in1(X1))
| one(in2(X1))
| ~ or_ok(X1)
| ~ one(out1(X1)) ),
or_1_11 ).
cnf(c_0_139,hypothesis,
( one(out1(or1(h1(f))))
| ~ halfadder(h1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).
cnf(c_0_140,axiom,
( ~ zero(X1)
| ~ one(X1) ),
unique_value ).
cnf(c_0_141,plain,
( zero(out1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(outc(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_115]) ).
cnf(c_0_142,hypothesis,
( one(out1(and2(h2(f))))
| ~ one(in1(and2(h2(f))))
| ~ one(in2(and2(h2(f)))) ),
inference(spm,[status(thm)],[c_0_104,c_0_129]) ).
cnf(c_0_143,plain,
( one(in2(and2(X1)))
| ~ halfadder(X1)
| ~ one(in2(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_130]) ).
cnf(c_0_144,plain,
( zero(in1(or1(X1)))
| ~ fulladder(X1)
| ~ zero(outc(h2(X1))) ),
inference(spm,[status(thm)],[c_0_102,c_0_131]) ).
cnf(c_0_145,hypothesis,
( zero(outc(h2(f)))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f)) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_146,hypothesis,
( abnormal(or1(f))
| zero(in1(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135])]) ).
cnf(c_0_147,hypothesis,
( one(out1(and1(h1(f))))
| ~ halfadder(h1(f))
| ~ one(in1(and1(h1(f))))
| ~ zero(out1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_148,hypothesis,
( one(in2(or1(h1(f))))
| one(in1(or1(h1(f))))
| ~ halfadder(h1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_109])]) ).
cnf(c_0_149,axiom,
( one(out1(X1))
| ~ or_ok(X1)
| ~ one(in1(X1)) ),
or_1x_1 ).
cnf(c_0_150,plain,
( ~ halfadder(X1)
| ~ one(out1(and2(X1)))
| ~ zero(outc(X1)) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_151,hypothesis,
( one(out1(and2(h2(f))))
| ~ halfadder(h2(f))
| ~ one(in1(and2(h2(f))))
| ~ one(in2(h2(f))) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_152,hypothesis,
( zero(in1(or1(f)))
| ~ halfadder(h2(f)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_58])]),c_0_146]) ).
cnf(c_0_153,plain,
( one(outs(X1))
| ~ halfadder(X1)
| ~ one(out1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_76,c_0_62]) ).
cnf(c_0_154,hypothesis,
( one(out1(and1(h1(f))))
| ~ halfadder(h1(f))
| ~ one(in1(and1(h1(f))))
| ~ zero(outc(h1(f))) ),
inference(spm,[status(thm)],[c_0_147,c_0_141]) ).
cnf(c_0_155,axiom,
( connection(out1(or1(X1)),in1(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1or1_in1_and1 ).
cnf(c_0_156,hypothesis,
( one(in1(or1(h1(f))))
| one(in2(or1(h1(f)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_80]),c_0_58])]) ).
cnf(c_0_157,hypothesis,
( one(out1(or1(h1(f))))
| ~ one(in1(or1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_149,c_0_109]) ).
cnf(c_0_158,plain,
( abnormal(and2(h1(X1)))
| and_ok(and2(h1(X1)))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_80]) ).
cnf(c_0_159,negated_conjecture,
~ abnormal(and2(h1(f))),
diagnosis_and2h1 ).
cnf(c_0_160,hypothesis,
( ~ halfadder(h2(f))
| ~ one(in1(and2(h2(f))))
| ~ one(in2(h2(f)))
| ~ zero(outc(h2(f))) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_161,plain,
( zero(outc(h2(X1)))
| ~ fulladder(X1)
| ~ zero(in1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_131]) ).
cnf(c_0_162,hypothesis,
zero(in1(or1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_56]),c_0_58])]) ).
cnf(c_0_163,axiom,
( connection(in1(X1),in1(and2(X1)))
| ~ halfadder(X1) ),
halfadder_connection_in1_in1and2 ).
cnf(c_0_164,hypothesis,
( one(outs(h1(f)))
| ~ halfadder(h1(f))
| ~ one(in1(and1(h1(f))))
| ~ zero(outc(h1(f))) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_165,plain,
( one(in1(and1(X1)))
| ~ halfadder(X1)
| ~ one(out1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_61,c_0_155]) ).
cnf(c_0_166,hypothesis,
one(out1(or1(h1(f)))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_156]),c_0_157]) ).
cnf(c_0_167,axiom,
( connection(outc(h1(X1)),in2(or1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outch1_in2or1 ).
cnf(c_0_168,axiom,
( zero(out1(X1))
| ~ and_ok(X1)
| ~ zero(in1(X1)) ),
and_0x_0 ).
cnf(c_0_169,hypothesis,
and_ok(and2(h1(f))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_58]),c_0_159]) ).
cnf(c_0_170,hypothesis,
( ~ halfadder(h2(f))
| ~ one(in1(and2(h2(f))))
| ~ one(in2(h2(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_58])]),c_0_162])]) ).
cnf(c_0_171,plain,
( one(in1(and2(X1)))
| ~ halfadder(X1)
| ~ one(in1(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_163]) ).
cnf(c_0_172,axiom,
( connection(outs(h1(X1)),in2(h2(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outsh1_in2h2 ).
cnf(c_0_173,hypothesis,
( one(outs(h1(f)))
| ~ halfadder(h1(f))
| ~ zero(outc(h1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166])]) ).
cnf(c_0_174,plain,
( zero(outc(h1(X1)))
| ~ fulladder(X1)
| ~ zero(in2(or1(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_167]) ).
cnf(c_0_175,hypothesis,
( zero(out1(and2(h1(f))))
| ~ zero(in1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_176,hypothesis,
( ~ halfadder(h2(f))
| ~ one(in2(h2(f)))
| ~ one(in1(h2(f))) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_177,plain,
( one(in2(h2(X1)))
| ~ fulladder(X1)
| ~ one(outs(h1(X1))) ),
inference(spm,[status(thm)],[c_0_61,c_0_172]) ).
cnf(c_0_178,hypothesis,
( one(outs(h1(f)))
| ~ halfadder(h1(f))
| ~ zero(in2(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_58])]) ).
cnf(c_0_179,hypothesis,
( zero(outc(h1(f)))
| ~ halfadder(h1(f))
| ~ zero(in1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_132,c_0_175]) ).
cnf(c_0_180,plain,
( zero(in1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(in1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_163]) ).
cnf(c_0_181,hypothesis,
( ~ one(in2(h2(f)))
| ~ one(in1(h2(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_56]),c_0_58])]) ).
cnf(c_0_182,hypothesis,
( one(in2(h2(f)))
| ~ halfadder(h1(f))
| ~ zero(in2(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_58])]) ).
cnf(c_0_183,plain,
( zero(in2(or1(X1)))
| ~ fulladder(X1)
| ~ zero(outc(h1(X1))) ),
inference(spm,[status(thm)],[c_0_102,c_0_167]) ).
cnf(c_0_184,hypothesis,
( zero(outc(h1(f)))
| ~ halfadder(h1(f))
| ~ zero(in1(h1(f))) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_185,hypothesis,
( ~ halfadder(h1(f))
| ~ one(in1(h2(f)))
| ~ zero(in2(or1(f))) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_186,hypothesis,
( zero(in2(or1(f)))
| ~ halfadder(h1(f))
| ~ zero(in1(h1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_58])]) ).
cnf(c_0_187,hypothesis,
( ~ one(in1(h2(f)))
| ~ zero(in2(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_80]),c_0_58])]) ).
cnf(c_0_188,hypothesis,
( zero(in2(or1(f)))
| ~ zero(in1(h1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_80]),c_0_58])]) ).
cnf(c_0_189,axiom,
( connection(in2(X1),in1(h1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_in2_in1h1 ).
cnf(c_0_190,hypothesis,
( ~ one(in1(h2(f)))
| ~ zero(in1(h1(f))) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_191,plain,
( zero(in1(h1(X1)))
| ~ fulladder(X1)
| ~ zero(in2(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_189]) ).
cnf(c_0_192,hypothesis,
zero(in2(f)),
in2_0 ).
cnf(c_0_193,axiom,
( connection(in1(X1),in1(h2(X1)))
| ~ fulladder(X1) ),
fulladder_connection_in1_in1h2 ).
cnf(c_0_194,hypothesis,
~ one(in1(h2(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_58]),c_0_192])]) ).
cnf(c_0_195,plain,
( one(in1(h2(X1)))
| ~ fulladder(X1)
| ~ one(in1(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_193]) ).
cnf(c_0_196,hypothesis,
one(in1(f)),
in1_1 ).
cnf(c_0_197,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_58]),c_0_196])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HWV006-2 : TPTP v9.2.1. Bugfixed v2.7.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n001.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon May 4 19:24:03 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.35 % start to proof: theBenchmark
% 1.26/1.74 % Version : CSE_E---1.7
% 1.26/1.74 % Problem : theBenchmark.p
% 1.26/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.74 % SZS output start CNFRefutation
% See solution above
% 1.26/1.74 % Total time : 1.373s
%------------------------------------------------------------------------------