%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV006-1 : TPTP v9.2.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.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 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 48
% Syntax : Number of clauses : 198 ( 82 unt; 15 nHn; 198 RR)
% Number of literals : 361 ( 0 equ; 164 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 111 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(fulladder_halfadder2,axiom,
( type(h2(X1),halfadder)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder2) ).
cnf(f_isa_fulladder,hypothesis,
type(f,fulladder),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).
cnf(fulladder_connection_outs_outsh2,axiom,
( connection(out(s,X1),out(s,h2(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outs_outsh2) ).
cnf(fulladder_halfadder1,axiom,
( type(h1(X1),halfadder)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder1) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( connection(in(n2,X1),in(n1,h1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in2_in1h1) ).
cnf(halfadder_connection_outs_out1and1,axiom,
( connection(out(s,X1),out(n1,and1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outs_out1and1) ).
cnf(value_propagation1,axiom,
( value(X2,X3)
| ~ connection(X1,X2)
| ~ value(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation1) ).
cnf(fulladder_or1,axiom,
( type(or1(X1),or)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_or1) ).
cnf(fulladder_connection_inc_in2h1,axiom,
( connection(in(c,X1),in(n2,h1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_inc_in2h1) ).
cnf(halfadder_and2,axiom,
( type(and2(X1),and)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_and2) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( connection(in(n1,X1),in(n1,and2(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1and2) ).
cnf(outs_1,hypothesis,
value(out(s,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).
cnf(ok_or_abnormal,axiom,
( mode(X1,ok)
| mode(X1,abnormal)
| ~ type(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',ok_or_abnormal) ).
cnf(halfadder_and1,axiom,
( type(and1(X1),and)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_and1) ).
cnf(halfadder_or1,axiom,
( type(or1(X1),or)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_or1) ).
cnf(halfadder_connection_in2_in2or1,axiom,
( connection(in(n2,X1),in(n2,or1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2or1) ).
cnf(diagnosis_and2h1,negated_conjecture,
~ mode(and2(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1) ).
cnf(in2_0,hypothesis,
value(in(n2,f),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).
cnf(diagnosis_or1_and1h2,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h2(f)),abnormal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
cnf(diagnosis_or1h1,negated_conjecture,
~ mode(or1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1h1) ).
cnf(inc_1,hypothesis,
value(in(c,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).
cnf(halfadder_connection_out1and2_in1not1,axiom,
( connection(out(n1,and2(X1)),in(n1,not1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1and2_in1not1) ).
cnf(and_0x_0,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(X2,X1),n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_0x_0) ).
cnf(halfadder_not1,axiom,
( type(not1(X1),not)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_not1) ).
cnf(halfadder_connection_out1not1_in2and1,axiom,
( connection(out(n1,not1(X1)),in(n2,and1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1not1_in2and1) ).
cnf(and_1_x1,axiom,
( value(in(n2,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_1_x1) ).
cnf(halfadder_connection_out1or1_in1_and1,axiom,
( connection(out(n1,or1(X1)),in(n1,and1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1or1_in1_and1) ).
cnf(or_1x_1,axiom,
( value(out(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(in(X2,X1),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',or_1x_1) ).
cnf(diagnosis_or1_not1h2,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(not1(h2(f)),abnormal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).
cnf(value_propagation2,axiom,
( value(X1,X3)
| ~ connection(X1,X2)
| ~ value(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).
cnf(diagnosis_and1h1,negated_conjecture,
~ mode(and1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1h1) ).
cnf(diagnosis_not1h1,negated_conjecture,
~ mode(not1(h1(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1h1) ).
cnf(not_1_0_bw,axiom,
( value(in(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,not)
| ~ value(out(n1,X1),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',not_1_0_bw) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( connection(out(c,X1),out(n1,or1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outc_out1or1) ).
cnf(and_11_1,axiom,
( value(out(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(n1,X1),n1)
| ~ value(in(n2,X1),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_11_1) ).
cnf(not_0_1_fw,axiom,
( value(out(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,not)
| ~ value(in(n1,X1),n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',not_0_1_fw) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( connection(out(c,X1),out(n1,and2(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outc_out1and2) ).
cnf(fulladder_connection_outch2_in1or1,axiom,
( connection(out(c,h2(X1)),in(n1,or1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch2_in1or1) ).
cnf(or_0_0x,axiom,
( value(in(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(out(n1,X1),n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',or_0_0x) ).
cnf(outc_0,hypothesis,
value(out(c,f),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
cnf(fulladder_connection_outsh1_in2h2,axiom,
( connection(out(s,h1(X1)),in(n2,h2(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outsh1_in2h2) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( connection(in(n1,X1),in(n1,h2(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in1_in1h2) ).
cnf(halfadder_connection_in2_in2and2,axiom,
( connection(in(n2,X1),in(n2,and2(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2and2) ).
cnf(in1_1,hypothesis,
value(in(n1,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
cnf(diagnosis_and2,negated_conjecture,
~ mode(and2(h2(f)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2) ).
cnf(unique_value,axiom,
( equal_value(X2,X3)
| ~ value(X1,X2)
| ~ value(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',unique_value) ).
cnf(and_0_00,axiom,
( value(in(n1,X1),n0)
| value(in(n2,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_0_00) ).
cnf(equal_value1,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',equal_value1) ).
cnf(c_0_48,axiom,
( type(h2(X1),halfadder)
| ~ type(X1,fulladder) ),
fulladder_halfadder2 ).
cnf(c_0_49,hypothesis,
type(f,fulladder),
f_isa_fulladder ).
cnf(c_0_50,axiom,
( connection(out(s,X1),out(s,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outs_outsh2 ).
cnf(c_0_51,axiom,
( type(h1(X1),halfadder)
| ~ type(X1,fulladder) ),
fulladder_halfadder1 ).
cnf(c_0_52,axiom,
( connection(in(n2,X1),in(n1,h1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_in2_in1h1 ).
cnf(c_0_53,axiom,
( connection(out(s,X1),out(n1,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_outs_out1and1 ).
cnf(c_0_54,hypothesis,
type(h2(f),halfadder),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,axiom,
( value(X2,X3)
| ~ connection(X1,X2)
| ~ value(X1,X3) ),
value_propagation1 ).
cnf(c_0_56,hypothesis,
connection(out(s,f),out(s,h2(f))),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_57,axiom,
( type(or1(X1),or)
| ~ type(X1,fulladder) ),
fulladder_or1 ).
cnf(c_0_58,axiom,
( connection(in(c,X1),in(n2,h1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_inc_in2h1 ).
cnf(c_0_59,axiom,
( type(and2(X1),and)
| ~ type(X1,halfadder) ),
halfadder_and2 ).
cnf(c_0_60,hypothesis,
type(h1(f),halfadder),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_61,axiom,
( connection(in(n1,X1),in(n1,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in1_in1and2 ).
cnf(c_0_62,hypothesis,
connection(in(n2,f),in(n1,h1(f))),
inference(spm,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_63,hypothesis,
connection(out(s,h2(f)),out(n1,and1(h2(f)))),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_64,hypothesis,
( value(out(s,h2(f)),X1)
| ~ value(out(s,f),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,hypothesis,
value(out(s,f),n1),
outs_1 ).
cnf(c_0_66,axiom,
( mode(X1,ok)
| mode(X1,abnormal)
| ~ type(X1,X2) ),
ok_or_abnormal ).
cnf(c_0_67,hypothesis,
type(or1(f),or),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_68,axiom,
( type(and1(X1),and)
| ~ type(X1,halfadder) ),
halfadder_and1 ).
cnf(c_0_69,axiom,
( type(or1(X1),or)
| ~ type(X1,halfadder) ),
halfadder_or1 ).
cnf(c_0_70,axiom,
( connection(in(n2,X1),in(n2,or1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in2_in2or1 ).
cnf(c_0_71,hypothesis,
connection(in(c,f),in(n2,h1(f))),
inference(spm,[status(thm)],[c_0_58,c_0_49]) ).
cnf(c_0_72,hypothesis,
type(and2(h1(f)),and),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_73,negated_conjecture,
~ mode(and2(h1(f)),abnormal),
diagnosis_and2h1 ).
cnf(c_0_74,hypothesis,
connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_75,hypothesis,
( value(in(n1,h1(f)),X1)
| ~ value(in(n2,f),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_62]) ).
cnf(c_0_76,hypothesis,
value(in(n2,f),n0),
in2_0 ).
cnf(c_0_77,hypothesis,
( value(out(n1,and1(h2(f))),X1)
| ~ value(out(s,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_63]) ).
cnf(c_0_78,hypothesis,
value(out(s,h2(f)),n1),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_79,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h2(f)),abnormal) ),
diagnosis_or1_and1h2 ).
cnf(c_0_80,hypothesis,
( mode(or1(f),abnormal)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_81,hypothesis,
type(and1(h2(f)),and),
inference(spm,[status(thm)],[c_0_68,c_0_54]) ).
cnf(c_0_82,hypothesis,
type(or1(h1(f)),or),
inference(spm,[status(thm)],[c_0_69,c_0_60]) ).
cnf(c_0_83,negated_conjecture,
~ mode(or1(h1(f)),abnormal),
diagnosis_or1h1 ).
cnf(c_0_84,hypothesis,
connection(in(n2,h1(f)),in(n2,or1(h1(f)))),
inference(spm,[status(thm)],[c_0_70,c_0_60]) ).
cnf(c_0_85,hypothesis,
( value(in(n2,h1(f)),X1)
| ~ value(in(c,f),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_71]) ).
cnf(c_0_86,hypothesis,
value(in(c,f),n1),
inc_1 ).
cnf(c_0_87,axiom,
( connection(out(n1,and2(X1)),in(n1,not1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1and2_in1not1 ).
cnf(c_0_88,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(X2,X1),n0) ),
and_0x_0 ).
cnf(c_0_89,hypothesis,
mode(and2(h1(f)),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_72]),c_0_73]) ).
cnf(c_0_90,hypothesis,
( value(in(n1,and2(h1(f))),X1)
| ~ value(in(n1,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_74]) ).
cnf(c_0_91,hypothesis,
value(in(n1,h1(f)),n0),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_92,axiom,
( type(not1(X1),not)
| ~ type(X1,halfadder) ),
halfadder_not1 ).
cnf(c_0_93,axiom,
( connection(out(n1,not1(X1)),in(n2,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1not1_in2and1 ).
cnf(c_0_94,axiom,
( value(in(n2,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n1) ),
and_1_x1 ).
cnf(c_0_95,hypothesis,
value(out(n1,and1(h2(f))),n1),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_96,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(and1(h2(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_97,hypothesis,
( mode(and1(h2(f)),abnormal)
| mode(and1(h2(f)),ok) ),
inference(spm,[status(thm)],[c_0_66,c_0_81]) ).
cnf(c_0_98,axiom,
( connection(out(n1,or1(X1)),in(n1,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1or1_in1_and1 ).
cnf(c_0_99,axiom,
( value(out(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(in(X2,X1),n1) ),
or_1x_1 ).
cnf(c_0_100,hypothesis,
mode(or1(h1(f)),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_82]),c_0_83]) ).
cnf(c_0_101,hypothesis,
( value(in(n2,or1(h1(f))),X1)
| ~ value(in(n2,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_84]) ).
cnf(c_0_102,hypothesis,
value(in(n2,h1(f)),n1),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_103,hypothesis,
connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
inference(spm,[status(thm)],[c_0_87,c_0_60]) ).
cnf(c_0_104,hypothesis,
( value(out(n1,and2(h1(f))),n0)
| ~ value(in(X1,and2(h1(f))),n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_72]),c_0_89])]) ).
cnf(c_0_105,hypothesis,
value(in(n1,and2(h1(f))),n0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_106,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(not1(h2(f)),abnormal) ),
diagnosis_or1_not1h2 ).
cnf(c_0_107,hypothesis,
type(not1(h2(f)),not),
inference(spm,[status(thm)],[c_0_92,c_0_54]) ).
cnf(c_0_108,axiom,
( value(X1,X3)
| ~ connection(X1,X2)
| ~ value(X2,X3) ),
value_propagation2 ).
cnf(c_0_109,hypothesis,
connection(out(n1,not1(h2(f))),in(n2,and1(h2(f)))),
inference(spm,[status(thm)],[c_0_93,c_0_54]) ).
cnf(c_0_110,hypothesis,
( value(in(n2,and1(h2(f))),n1)
| ~ mode(and1(h2(f)),ok) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_81]),c_0_95])]) ).
cnf(c_0_111,negated_conjecture,
( mode(and1(h2(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_112,hypothesis,
type(and1(h1(f)),and),
inference(spm,[status(thm)],[c_0_68,c_0_60]) ).
cnf(c_0_113,negated_conjecture,
~ mode(and1(h1(f)),abnormal),
diagnosis_and1h1 ).
cnf(c_0_114,hypothesis,
connection(out(n1,or1(h1(f))),in(n1,and1(h1(f)))),
inference(spm,[status(thm)],[c_0_98,c_0_60]) ).
cnf(c_0_115,hypothesis,
( value(out(n1,or1(h1(f))),n1)
| ~ value(in(X1,or1(h1(f))),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_82]),c_0_100])]) ).
cnf(c_0_116,hypothesis,
value(in(n2,or1(h1(f))),n1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_117,hypothesis,
type(not1(h1(f)),not),
inference(spm,[status(thm)],[c_0_92,c_0_60]) ).
cnf(c_0_118,negated_conjecture,
~ mode(not1(h1(f)),abnormal),
diagnosis_not1h1 ).
cnf(c_0_119,hypothesis,
( value(in(n1,not1(h1(f))),X1)
| ~ value(out(n1,and2(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_103]) ).
cnf(c_0_120,hypothesis,
value(out(n1,and2(h1(f))),n0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_121,axiom,
( value(in(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,not)
| ~ value(out(n1,X1),n1) ),
not_1_0_bw ).
cnf(c_0_122,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(not1(h2(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_106,c_0_80]) ).
cnf(c_0_123,hypothesis,
( mode(not1(h2(f)),abnormal)
| mode(not1(h2(f)),ok) ),
inference(spm,[status(thm)],[c_0_66,c_0_107]) ).
cnf(c_0_124,hypothesis,
( value(out(n1,not1(h2(f))),X1)
| ~ value(in(n2,and1(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_125,negated_conjecture,
( mode(or1(f),ok)
| value(in(n2,and1(h2(f))),n1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_126,axiom,
( connection(out(c,X1),out(n1,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outc_out1or1 ).
cnf(c_0_127,axiom,
( value(out(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(n1,X1),n1)
| ~ value(in(n2,X1),n1) ),
and_11_1 ).
cnf(c_0_128,hypothesis,
mode(and1(h1(f)),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_112]),c_0_113]) ).
cnf(c_0_129,hypothesis,
( value(in(n1,and1(h1(f))),X1)
| ~ value(out(n1,or1(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_114]) ).
cnf(c_0_130,hypothesis,
value(out(n1,or1(h1(f))),n1),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_131,hypothesis,
connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
inference(spm,[status(thm)],[c_0_93,c_0_60]) ).
cnf(c_0_132,axiom,
( value(out(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,not)
| ~ value(in(n1,X1),n0) ),
not_0_1_fw ).
cnf(c_0_133,hypothesis,
mode(not1(h1(f)),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_117]),c_0_118]) ).
cnf(c_0_134,hypothesis,
value(in(n1,not1(h1(f))),n0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_135,axiom,
( connection(out(c,X1),out(n1,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_outc_out1and2 ).
cnf(c_0_136,hypothesis,
connection(out(n1,and2(h2(f))),in(n1,not1(h2(f)))),
inference(spm,[status(thm)],[c_0_87,c_0_54]) ).
cnf(c_0_137,hypothesis,
( value(in(n1,not1(h2(f))),n0)
| ~ mode(not1(h2(f)),ok)
| ~ value(out(n1,not1(h2(f))),n1) ),
inference(spm,[status(thm)],[c_0_121,c_0_107]) ).
cnf(c_0_138,negated_conjecture,
( mode(not1(h2(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_139,hypothesis,
( mode(or1(f),ok)
| value(out(n1,not1(h2(f))),n1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_140,hypothesis,
connection(out(c,f),out(n1,or1(f))),
inference(spm,[status(thm)],[c_0_126,c_0_49]) ).
cnf(c_0_141,hypothesis,
( value(out(n1,and1(h1(f))),n1)
| ~ value(in(n1,and1(h1(f))),n1)
| ~ value(in(n2,and1(h1(f))),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_112]),c_0_128])]) ).
cnf(c_0_142,hypothesis,
value(in(n1,and1(h1(f))),n1),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_143,hypothesis,
( value(in(n2,and1(h1(f))),X1)
| ~ value(out(n1,not1(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_131]) ).
cnf(c_0_144,hypothesis,
value(out(n1,not1(h1(f))),n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_117]),c_0_133]),c_0_134])]) ).
cnf(c_0_145,axiom,
( connection(out(c,h2(X1)),in(n1,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outch2_in1or1 ).
cnf(c_0_146,hypothesis,
connection(out(c,h2(f)),out(n1,and2(h2(f)))),
inference(spm,[status(thm)],[c_0_135,c_0_54]) ).
cnf(c_0_147,hypothesis,
( value(out(n1,and2(h2(f))),X1)
| ~ value(in(n1,not1(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_136]) ).
cnf(c_0_148,negated_conjecture,
( mode(or1(f),ok)
| value(in(n1,not1(h2(f))),n0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_149,axiom,
( value(in(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(out(n1,X1),n0) ),
or_0_0x ).
cnf(c_0_150,hypothesis,
( value(out(n1,or1(f)),X1)
| ~ value(out(c,f),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_140]) ).
cnf(c_0_151,hypothesis,
value(out(c,f),n0),
outc_0 ).
cnf(c_0_152,axiom,
( connection(out(s,h1(X1)),in(n2,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outsh1_in2h2 ).
cnf(c_0_153,hypothesis,
connection(out(s,h1(f)),out(n1,and1(h1(f)))),
inference(spm,[status(thm)],[c_0_53,c_0_60]) ).
cnf(c_0_154,hypothesis,
( value(out(n1,and1(h1(f))),n1)
| ~ value(in(n2,and1(h1(f))),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).
cnf(c_0_155,hypothesis,
value(in(n2,and1(h1(f))),n1),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_156,hypothesis,
connection(out(c,h2(f)),in(n1,or1(f))),
inference(spm,[status(thm)],[c_0_145,c_0_49]) ).
cnf(c_0_157,hypothesis,
( value(out(c,h2(f)),X1)
| ~ value(out(n1,and2(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_146]) ).
cnf(c_0_158,hypothesis,
( mode(or1(f),ok)
| value(out(n1,and2(h2(f))),n0) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_159,hypothesis,
( value(in(n1,or1(f)),n0)
| ~ mode(or1(f),ok)
| ~ value(out(n1,or1(f)),n0) ),
inference(spm,[status(thm)],[c_0_149,c_0_67]) ).
cnf(c_0_160,hypothesis,
value(out(n1,or1(f)),n0),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_161,axiom,
( connection(in(n1,X1),in(n1,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_in1_in1h2 ).
cnf(c_0_162,axiom,
( connection(in(n2,X1),in(n2,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in2_in2and2 ).
cnf(c_0_163,hypothesis,
connection(out(s,h1(f)),in(n2,h2(f))),
inference(spm,[status(thm)],[c_0_152,c_0_49]) ).
cnf(c_0_164,hypothesis,
( value(out(s,h1(f)),X1)
| ~ value(out(n1,and1(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_153]) ).
cnf(c_0_165,hypothesis,
value(out(n1,and1(h1(f))),n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]) ).
cnf(c_0_166,hypothesis,
( value(in(n1,or1(f)),X1)
| ~ value(out(c,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_156]) ).
cnf(c_0_167,hypothesis,
( mode(or1(f),ok)
| value(out(c,h2(f)),n0) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_168,hypothesis,
( value(in(n1,or1(f)),n0)
| ~ mode(or1(f),ok) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]) ).
cnf(c_0_169,hypothesis,
connection(in(n1,f),in(n1,h2(f))),
inference(spm,[status(thm)],[c_0_161,c_0_49]) ).
cnf(c_0_170,hypothesis,
connection(in(n2,h2(f)),in(n2,and2(h2(f)))),
inference(spm,[status(thm)],[c_0_162,c_0_54]) ).
cnf(c_0_171,hypothesis,
( value(in(n2,h2(f)),X1)
| ~ value(out(s,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_163]) ).
cnf(c_0_172,hypothesis,
value(out(s,h1(f)),n1),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_173,hypothesis,
( value(out(c,h2(f)),X1)
| ~ value(in(n1,or1(f)),X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_156]) ).
cnf(c_0_174,hypothesis,
value(in(n1,or1(f)),n0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).
cnf(c_0_175,hypothesis,
connection(in(n1,h2(f)),in(n1,and2(h2(f)))),
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_176,hypothesis,
( value(in(n1,h2(f)),X1)
| ~ value(in(n1,f),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_169]) ).
cnf(c_0_177,hypothesis,
value(in(n1,f),n1),
in1_1 ).
cnf(c_0_178,hypothesis,
( value(in(n2,and2(h2(f))),X1)
| ~ value(in(n2,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_170]) ).
cnf(c_0_179,hypothesis,
value(in(n2,h2(f)),n1),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_180,hypothesis,
type(and2(h2(f)),and),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_181,negated_conjecture,
~ mode(and2(h2(f)),abnormal),
diagnosis_and2 ).
cnf(c_0_182,hypothesis,
( value(out(n1,and2(h2(f))),X1)
| ~ value(out(c,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_146]) ).
cnf(c_0_183,hypothesis,
value(out(c,h2(f)),n0),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_184,hypothesis,
( value(in(n1,and2(h2(f))),X1)
| ~ value(in(n1,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_175]) ).
cnf(c_0_185,hypothesis,
value(in(n1,h2(f)),n1),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_186,axiom,
( equal_value(X2,X3)
| ~ value(X1,X2)
| ~ value(X1,X3) ),
unique_value ).
cnf(c_0_187,hypothesis,
value(in(n2,and2(h2(f))),n1),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_188,axiom,
( value(in(n1,X1),n0)
| value(in(n2,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n0) ),
and_0_00 ).
cnf(c_0_189,hypothesis,
mode(and2(h2(f)),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_180]),c_0_181]) ).
cnf(c_0_190,hypothesis,
value(out(n1,and2(h2(f))),n0),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_191,hypothesis,
value(in(n1,and2(h2(f))),n1),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_192,hypothesis,
( equal_value(X1,n1)
| ~ value(in(n2,and2(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_193,hypothesis,
( value(in(n2,and2(h2(f))),n0)
| value(in(n1,and2(h2(f))),n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_180]),c_0_189]),c_0_190])]) ).
cnf(c_0_194,axiom,
~ equal_value(n0,n1),
equal_value1 ).
cnf(c_0_195,hypothesis,
( equal_value(X1,n1)
| ~ value(in(n1,and2(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_191]) ).
cnf(c_0_196,hypothesis,
value(in(n1,and2(h2(f))),n0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
cnf(c_0_197,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_194]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV006-1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n022.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 19:11:51 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------