TSTP Solution File: HWV007-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:55:08 EDT 2023
% Result : Unsatisfiable 0.83s 0.99s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 45
% Syntax : Number of clauses : 181 ( 58 unt; 22 nHn; 181 RR)
% Number of literals : 346 ( 0 equ; 155 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 : 103 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(fulladder_halfadder1,axiom,
( type(h1(X1),halfadder)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_halfadder1) ).
cnf(f_isa_fulladder,hypothesis,
type(f,fulladder),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',f_isa_fulladder) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( connection(in(n2,X1),in(n1,h1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_connection_in2_in1h1) ).
cnf(fulladder_connection_inc_in2h1,axiom,
( connection(in(c,X1),in(n2,h1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_connection_inc_in2h1) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( connection(in(n1,X1),in(n1,and2(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_in1_in1and2) ).
cnf(value_propagation1,axiom,
( value(X2,X3)
| ~ connection(X1,X2)
| ~ value(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',value_propagation1) ).
cnf(halfadder_connection_in2_in2and2,axiom,
( connection(in(n2,X1),in(n2,and2(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_in2_in2and2) ).
cnf(halfadder_and2,axiom,
( type(and2(X1),and)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_and2) ).
cnf(in2_0,hypothesis,
value(in(n2,f),n1),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',in2_0) ).
cnf(inc_1,hypothesis,
value(in(c,f),n1),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.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/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_out1and2_in1not1) ).
cnf(ok_or_abnormal,axiom,
( mode(X1,ok)
| mode(X1,abnormal)
| ~ type(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',ok_or_abnormal) ).
cnf(diagnosis_and2h1,negated_conjecture,
~ mode(and2(h1(f)),abnormal),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',diagnosis_and2h1) ).
cnf(fulladder_or1,axiom,
( type(or1(X1),or)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_or1) ).
cnf(halfadder_not1,axiom,
( type(not1(X1),not)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_not1) ).
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/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',and_11_1) ).
cnf(halfadder_and1,axiom,
( type(and1(X1),and)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_and1) ).
cnf(not_1_0_fw,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,not)
| ~ value(in(n1,X1),n1) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',not_1_0_fw) ).
cnf(diagnosis_or1_not1h1,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(not1(h1(f)),abnormal) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',diagnosis_or1_not1h1) ).
cnf(fulladder_halfadder2,axiom,
( type(h2(X1),halfadder)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_halfadder2) ).
cnf(fulladder_connection_outs_outsh2,axiom,
( connection(out(s,X1),out(s,h2(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_connection_outs_outsh2) ).
cnf(diagnosis_or1_and1h1,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h1(f)),abnormal) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',diagnosis_or1_and1h1) ).
cnf(halfadder_connection_out1not1_in2and1,axiom,
( connection(out(n1,not1(X1)),in(n2,and1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_out1not1_in2and1) ).
cnf(halfadder_connection_outs_out1and1,axiom,
( connection(out(s,X1),out(n1,and1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_outs_out1and1) ).
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/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',and_0x_0) ).
cnf(outs_1,hypothesis,
value(out(s,f),n1),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',outs_1) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( connection(in(n1,X1),in(n1,h2(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_connection_in1_in1h2) ).
cnf(diagnosis_or1_and1h2,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h2(f)),abnormal) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',diagnosis_or1_and1h2) ).
cnf(halfadder_connection_in1_in1or1,axiom,
( connection(in(n1,X1),in(n1,or1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_in1_in1or1) ).
cnf(fulladder_connection_outsh1_in2h2,axiom,
( connection(out(s,h1(X1)),in(n2,h2(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_connection_outsh1_in2h2) ).
cnf(value_propagation2,axiom,
( value(X1,X3)
| ~ connection(X1,X2)
| ~ value(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',value_propagation2) ).
cnf(halfadder_connection_out1or1_in1_and1,axiom,
( connection(out(n1,or1(X1)),in(n1,and1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_out1or1_in1_and1) ).
cnf(and_1_1x,axiom,
( value(in(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n1) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',and_1_1x) ).
cnf(in1_1,hypothesis,
value(in(n1,f),n0),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',in1_1) ).
cnf(halfadder_or1,axiom,
( type(or1(X1),or)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_or1) ).
cnf(halfadder_connection_in2_in2or1,axiom,
( connection(in(n2,X1),in(n2,or1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_in2_in2or1) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( connection(out(c,X1),out(n1,and2(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',halfadder_connection_outc_out1and2) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( connection(out(c,X1),out(n1,or1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_connection_outc_out1or1) ).
cnf(diagnosis_or1_or1h2,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(or1(h2(f)),abnormal) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',diagnosis_or1_or1h2) ).
cnf(fulladder_connection_outch1_in2or1,axiom,
( connection(out(c,h1(X1)),in(n2,or1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',fulladder_connection_outch1_in2or1) ).
cnf(or_00_0,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(in(n1,X1),n0)
| ~ value(in(n2,X1),n0) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',or_00_0) ).
cnf(or_0_01,axiom,
( value(in(n2,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(out(n1,X1),n0) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',or_0_01) ).
cnf(outc_0,hypothesis,
value(out(c,f),n0),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',outc_0) ).
cnf(unique_value,axiom,
( equal_value(X2,X3)
| ~ value(X1,X2)
| ~ value(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',unique_value) ).
cnf(equal_value1,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p',equal_value1) ).
cnf(c_0_45,axiom,
( type(h1(X1),halfadder)
| ~ type(X1,fulladder) ),
fulladder_halfadder1 ).
cnf(c_0_46,hypothesis,
type(f,fulladder),
f_isa_fulladder ).
cnf(c_0_47,axiom,
( connection(in(n2,X1),in(n1,h1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_in2_in1h1 ).
cnf(c_0_48,axiom,
( connection(in(c,X1),in(n2,h1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_inc_in2h1 ).
cnf(c_0_49,axiom,
( connection(in(n1,X1),in(n1,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in1_in1and2 ).
cnf(c_0_50,hypothesis,
type(h1(f),halfadder),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,axiom,
( value(X2,X3)
| ~ connection(X1,X2)
| ~ value(X1,X3) ),
value_propagation1 ).
cnf(c_0_52,hypothesis,
connection(in(n2,f),in(n1,h1(f))),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_53,axiom,
( connection(in(n2,X1),in(n2,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in2_in2and2 ).
cnf(c_0_54,hypothesis,
connection(in(c,f),in(n2,h1(f))),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_55,axiom,
( type(and2(X1),and)
| ~ type(X1,halfadder) ),
halfadder_and2 ).
cnf(c_0_56,hypothesis,
connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,hypothesis,
( value(in(n1,h1(f)),X1)
| ~ value(in(n2,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,hypothesis,
value(in(n2,f),n1),
in2_0 ).
cnf(c_0_59,hypothesis,
connection(in(n2,h1(f)),in(n2,and2(h1(f)))),
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_60,hypothesis,
( value(in(n2,h1(f)),X1)
| ~ value(in(c,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_54]) ).
cnf(c_0_61,hypothesis,
value(in(c,f),n1),
inc_1 ).
cnf(c_0_62,axiom,
( connection(out(n1,and2(X1)),in(n1,not1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1and2_in1not1 ).
cnf(c_0_63,axiom,
( mode(X1,ok)
| mode(X1,abnormal)
| ~ type(X1,X2) ),
ok_or_abnormal ).
cnf(c_0_64,hypothesis,
type(and2(h1(f)),and),
inference(spm,[status(thm)],[c_0_55,c_0_50]) ).
cnf(c_0_65,negated_conjecture,
~ mode(and2(h1(f)),abnormal),
diagnosis_and2h1 ).
cnf(c_0_66,hypothesis,
( value(in(n1,and2(h1(f))),X1)
| ~ value(in(n1,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_56]) ).
cnf(c_0_67,hypothesis,
value(in(n1,h1(f)),n1),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,hypothesis,
( value(in(n2,and2(h1(f))),X1)
| ~ value(in(n2,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_59]) ).
cnf(c_0_69,hypothesis,
value(in(n2,h1(f)),n1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,axiom,
( type(or1(X1),or)
| ~ type(X1,fulladder) ),
fulladder_or1 ).
cnf(c_0_71,axiom,
( type(not1(X1),not)
| ~ type(X1,halfadder) ),
halfadder_not1 ).
cnf(c_0_72,hypothesis,
connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
inference(spm,[status(thm)],[c_0_62,c_0_50]) ).
cnf(c_0_73,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_74,hypothesis,
mode(and2(h1(f)),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_75,hypothesis,
value(in(n1,and2(h1(f))),n1),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,hypothesis,
value(in(n2,and2(h1(f))),n1),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,hypothesis,
type(or1(f),or),
inference(spm,[status(thm)],[c_0_70,c_0_46]) ).
cnf(c_0_78,axiom,
( type(and1(X1),and)
| ~ type(X1,halfadder) ),
halfadder_and1 ).
cnf(c_0_79,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,not)
| ~ value(in(n1,X1),n1) ),
not_1_0_fw ).
cnf(c_0_80,hypothesis,
type(not1(h1(f)),not),
inference(spm,[status(thm)],[c_0_71,c_0_50]) ).
cnf(c_0_81,hypothesis,
( value(in(n1,not1(h1(f))),X1)
| ~ value(out(n1,and2(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_72]) ).
cnf(c_0_82,hypothesis,
value(out(n1,and2(h1(f))),n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_64]),c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_83,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(not1(h1(f)),abnormal) ),
diagnosis_or1_not1h1 ).
cnf(c_0_84,hypothesis,
( mode(or1(f),abnormal)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_77]) ).
cnf(c_0_85,axiom,
( type(h2(X1),halfadder)
| ~ type(X1,fulladder) ),
fulladder_halfadder2 ).
cnf(c_0_86,axiom,
( connection(out(s,X1),out(s,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outs_outsh2 ).
cnf(c_0_87,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h1(f)),abnormal) ),
diagnosis_or1_and1h1 ).
cnf(c_0_88,hypothesis,
type(and1(h1(f)),and),
inference(spm,[status(thm)],[c_0_78,c_0_50]) ).
cnf(c_0_89,axiom,
( connection(out(n1,not1(X1)),in(n2,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1not1_in2and1 ).
cnf(c_0_90,hypothesis,
( value(out(n1,not1(h1(f))),n0)
| ~ mode(not1(h1(f)),ok)
| ~ value(in(n1,not1(h1(f))),n1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,hypothesis,
value(in(n1,not1(h1(f))),n1),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(not1(h1(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,hypothesis,
( mode(not1(h1(f)),abnormal)
| mode(not1(h1(f)),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_80]) ).
cnf(c_0_94,axiom,
( connection(out(s,X1),out(n1,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_outs_out1and1 ).
cnf(c_0_95,hypothesis,
type(h2(f),halfadder),
inference(spm,[status(thm)],[c_0_85,c_0_46]) ).
cnf(c_0_96,hypothesis,
connection(out(s,f),out(s,h2(f))),
inference(spm,[status(thm)],[c_0_86,c_0_46]) ).
cnf(c_0_97,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(X2,X1),n0) ),
and_0x_0 ).
cnf(c_0_98,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(and1(h1(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_87,c_0_84]) ).
cnf(c_0_99,hypothesis,
( mode(and1(h1(f)),abnormal)
| mode(and1(h1(f)),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_88]) ).
cnf(c_0_100,hypothesis,
connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
inference(spm,[status(thm)],[c_0_89,c_0_50]) ).
cnf(c_0_101,hypothesis,
( value(out(n1,not1(h1(f))),n0)
| ~ mode(not1(h1(f)),ok) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]) ).
cnf(c_0_102,negated_conjecture,
( mode(not1(h1(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_103,hypothesis,
connection(out(s,h2(f)),out(n1,and1(h2(f)))),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_104,hypothesis,
( value(out(s,h2(f)),X1)
| ~ value(out(s,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_96]) ).
cnf(c_0_105,hypothesis,
value(out(s,f),n1),
outs_1 ).
cnf(c_0_106,axiom,
( connection(in(n1,X1),in(n1,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_in1_in1h2 ).
cnf(c_0_107,hypothesis,
( value(out(n1,and1(h1(f))),n0)
| ~ mode(and1(h1(f)),ok)
| ~ value(in(X1,and1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_97,c_0_88]) ).
cnf(c_0_108,negated_conjecture,
( mode(and1(h1(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,hypothesis,
( value(in(n2,and1(h1(f))),X1)
| ~ value(out(n1,not1(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( mode(or1(f),ok)
| value(out(n1,not1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,hypothesis,
( value(out(n1,and1(h2(f))),X1)
| ~ value(out(s,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_103]) ).
cnf(c_0_112,hypothesis,
value(out(s,h2(f)),n1),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_113,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h2(f)),abnormal) ),
diagnosis_or1_and1h2 ).
cnf(c_0_114,hypothesis,
type(and1(h2(f)),and),
inference(spm,[status(thm)],[c_0_78,c_0_95]) ).
cnf(c_0_115,axiom,
( connection(in(n1,X1),in(n1,or1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in1_in1or1 ).
cnf(c_0_116,hypothesis,
connection(in(n1,f),in(n1,h2(f))),
inference(spm,[status(thm)],[c_0_106,c_0_46]) ).
cnf(c_0_117,axiom,
( connection(out(s,h1(X1)),in(n2,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outsh1_in2h2 ).
cnf(c_0_118,axiom,
( value(X1,X3)
| ~ connection(X1,X2)
| ~ value(X2,X3) ),
value_propagation2 ).
cnf(c_0_119,hypothesis,
connection(out(s,h1(f)),out(n1,and1(h1(f)))),
inference(spm,[status(thm)],[c_0_94,c_0_50]) ).
cnf(c_0_120,negated_conjecture,
( mode(or1(f),ok)
| value(out(n1,and1(h1(f))),n0)
| ~ value(in(X1,and1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_121,hypothesis,
( mode(or1(f),ok)
| value(in(n2,and1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_122,axiom,
( connection(out(n1,or1(X1)),in(n1,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1or1_in1_and1 ).
cnf(c_0_123,axiom,
( value(in(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n1) ),
and_1_1x ).
cnf(c_0_124,hypothesis,
value(out(n1,and1(h2(f))),n1),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_125,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(and1(h2(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_113,c_0_84]) ).
cnf(c_0_126,hypothesis,
( mode(and1(h2(f)),abnormal)
| mode(and1(h2(f)),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_114]) ).
cnf(c_0_127,hypothesis,
connection(in(n1,h2(f)),in(n1,or1(h2(f)))),
inference(spm,[status(thm)],[c_0_115,c_0_95]) ).
cnf(c_0_128,hypothesis,
( value(in(n1,h2(f)),X1)
| ~ value(in(n1,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_116]) ).
cnf(c_0_129,hypothesis,
value(in(n1,f),n0),
in1_1 ).
cnf(c_0_130,axiom,
( type(or1(X1),or)
| ~ type(X1,halfadder) ),
halfadder_or1 ).
cnf(c_0_131,axiom,
( connection(in(n2,X1),in(n2,or1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in2_in2or1 ).
cnf(c_0_132,hypothesis,
connection(out(s,h1(f)),in(n2,h2(f))),
inference(spm,[status(thm)],[c_0_117,c_0_46]) ).
cnf(c_0_133,hypothesis,
( value(out(s,h1(f)),X1)
| ~ value(out(n1,and1(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_134,negated_conjecture,
( mode(or1(f),ok)
| value(out(n1,and1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_135,axiom,
( connection(out(c,X1),out(n1,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_outc_out1and2 ).
cnf(c_0_136,axiom,
( connection(out(c,X1),out(n1,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outc_out1or1 ).
cnf(c_0_137,hypothesis,
connection(out(n1,or1(h2(f))),in(n1,and1(h2(f)))),
inference(spm,[status(thm)],[c_0_122,c_0_95]) ).
cnf(c_0_138,hypothesis,
( value(in(n1,and1(h2(f))),n1)
| ~ mode(and1(h2(f)),ok) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_114]),c_0_124])]) ).
cnf(c_0_139,negated_conjecture,
( mode(and1(h2(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_140,hypothesis,
( value(in(n1,or1(h2(f))),X1)
| ~ value(in(n1,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_127]) ).
cnf(c_0_141,hypothesis,
value(in(n1,h2(f)),n0),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_142,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(or1(h2(f)),abnormal) ),
diagnosis_or1_or1h2 ).
cnf(c_0_143,hypothesis,
type(or1(h2(f)),or),
inference(spm,[status(thm)],[c_0_130,c_0_95]) ).
cnf(c_0_144,hypothesis,
connection(in(n2,h2(f)),in(n2,or1(h2(f)))),
inference(spm,[status(thm)],[c_0_131,c_0_95]) ).
cnf(c_0_145,hypothesis,
( value(in(n2,h2(f)),X1)
| ~ value(out(s,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_132]) ).
cnf(c_0_146,hypothesis,
( mode(or1(f),ok)
| value(out(s,h1(f)),n0) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_147,axiom,
( connection(out(c,h1(X1)),in(n2,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outch1_in2or1 ).
cnf(c_0_148,hypothesis,
connection(out(c,h1(f)),out(n1,and2(h1(f)))),
inference(spm,[status(thm)],[c_0_135,c_0_50]) ).
cnf(c_0_149,hypothesis,
connection(out(c,f),out(n1,or1(f))),
inference(spm,[status(thm)],[c_0_136,c_0_46]) ).
cnf(c_0_150,hypothesis,
( value(out(n1,or1(h2(f))),X1)
| ~ value(in(n1,and1(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_137]) ).
cnf(c_0_151,negated_conjecture,
( mode(or1(f),ok)
| value(in(n1,and1(h2(f))),n1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_152,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(in(n1,X1),n0)
| ~ value(in(n2,X1),n0) ),
or_00_0 ).
cnf(c_0_153,hypothesis,
value(in(n1,or1(h2(f))),n0),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_154,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(or1(h2(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_142,c_0_84]) ).
cnf(c_0_155,hypothesis,
( mode(or1(h2(f)),abnormal)
| mode(or1(h2(f)),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_143]) ).
cnf(c_0_156,hypothesis,
( value(in(n2,or1(h2(f))),X1)
| ~ value(in(n2,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_144]) ).
cnf(c_0_157,hypothesis,
( mode(or1(f),ok)
| value(in(n2,h2(f)),n0) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_158,hypothesis,
connection(out(c,h1(f)),in(n2,or1(f))),
inference(spm,[status(thm)],[c_0_147,c_0_46]) ).
cnf(c_0_159,hypothesis,
( value(out(c,h1(f)),X1)
| ~ value(out(n1,and2(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_148]) ).
cnf(c_0_160,axiom,
( value(in(n2,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(out(n1,X1),n0) ),
or_0_01 ).
cnf(c_0_161,hypothesis,
( value(out(n1,or1(f)),X1)
| ~ value(out(c,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_149]) ).
cnf(c_0_162,hypothesis,
value(out(c,f),n0),
outc_0 ).
cnf(c_0_163,axiom,
( equal_value(X2,X3)
| ~ value(X1,X2)
| ~ value(X1,X3) ),
unique_value ).
cnf(c_0_164,hypothesis,
( mode(or1(f),ok)
| value(out(n1,or1(h2(f))),n1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_165,hypothesis,
( value(out(n1,or1(h2(f))),n0)
| ~ mode(or1(h2(f)),ok)
| ~ value(in(n2,or1(h2(f))),n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_143]),c_0_153])]) ).
cnf(c_0_166,negated_conjecture,
( mode(or1(h2(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_167,hypothesis,
( mode(or1(f),ok)
| value(in(n2,or1(h2(f))),n0) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_168,hypothesis,
( value(in(n2,or1(f)),X1)
| ~ value(out(c,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_158]) ).
cnf(c_0_169,hypothesis,
value(out(c,h1(f)),n1),
inference(spm,[status(thm)],[c_0_159,c_0_82]) ).
cnf(c_0_170,hypothesis,
( value(in(n2,or1(f)),n0)
| ~ mode(or1(f),ok)
| ~ value(out(n1,or1(f)),n0) ),
inference(spm,[status(thm)],[c_0_160,c_0_77]) ).
cnf(c_0_171,hypothesis,
value(out(n1,or1(f)),n0),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_172,hypothesis,
( mode(or1(f),ok)
| equal_value(X1,n1)
| ~ value(out(n1,or1(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_173,negated_conjecture,
( mode(or1(f),ok)
| value(out(n1,or1(h2(f))),n0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).
cnf(c_0_174,axiom,
~ equal_value(n0,n1),
equal_value1 ).
cnf(c_0_175,hypothesis,
value(in(n2,or1(f)),n1),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_176,hypothesis,
( value(in(n2,or1(f)),n0)
| ~ mode(or1(f),ok) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_177,hypothesis,
mode(or1(f),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).
cnf(c_0_178,hypothesis,
( equal_value(X1,n1)
| ~ value(in(n2,or1(f)),X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_175]) ).
cnf(c_0_179,hypothesis,
value(in(n2,or1(f)),n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177])]) ).
cnf(c_0_180,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_174]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% 0.02/0.14 % Command : run_E %s %d THM
% 0.10/0.35 % Computer : n012.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 2400
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Tue Oct 3 05:05:35 EDT 2023
% 0.10/0.35 % CPUTime :
% 0.15/0.46 Running first-order model finding
% 0.15/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.b7snfTM3RP/E---3.1_23004.p
% 0.83/0.99 # Version: 3.1pre001
% 0.83/0.99 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.83/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.99 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.83/0.99 # Starting new_bool_3 with 300s (1) cores
% 0.83/0.99 # Starting new_bool_1 with 300s (1) cores
% 0.83/0.99 # Starting sh5l with 300s (1) cores
% 0.83/0.99 # sh5l with pid 23206 completed with status 0
% 0.83/0.99 # Result found by sh5l
% 0.83/0.99 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.83/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.99 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.83/0.99 # Starting new_bool_3 with 300s (1) cores
% 0.83/0.99 # Starting new_bool_1 with 300s (1) cores
% 0.83/0.99 # Starting sh5l with 300s (1) cores
% 0.83/0.99 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.83/0.99 # Search class: FGHNF-FFMM21-SFFFFFNN
% 0.83/0.99 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.83/0.99 # Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 131s (1) cores
% 0.83/0.99 # G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 23216 completed with status 0
% 0.83/0.99 # Result found by G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S
% 0.83/0.99 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.83/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.99 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.83/0.99 # Starting new_bool_3 with 300s (1) cores
% 0.83/0.99 # Starting new_bool_1 with 300s (1) cores
% 0.83/0.99 # Starting sh5l with 300s (1) cores
% 0.83/0.99 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.83/0.99 # Search class: FGHNF-FFMM21-SFFFFFNN
% 0.83/0.99 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.83/0.99 # Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 131s (1) cores
% 0.83/0.99 # Preprocessing time : 0.001 s
% 0.83/0.99 # Presaturation interreduction done
% 0.83/0.99
% 0.83/0.99 # Proof found!
% 0.83/0.99 # SZS status Unsatisfiable
% 0.83/0.99 # SZS output start CNFRefutation
% See solution above
% 0.83/0.99 # Parsed axioms : 56
% 0.83/0.99 # Removed by relevancy pruning/SinE : 0
% 0.83/0.99 # Initial clauses : 56
% 0.83/0.99 # Removed in clause preprocessing : 0
% 0.83/0.99 # Initial clauses in saturation : 56
% 0.83/0.99 # Processed clauses : 356
% 0.83/0.99 # ...of these trivial : 7
% 0.83/0.99 # ...subsumed : 14
% 0.83/0.99 # ...remaining for further processing : 335
% 0.83/0.99 # Other redundant clauses eliminated : 0
% 0.83/0.99 # Clauses deleted for lack of memory : 0
% 0.83/0.99 # Backward-subsumed : 6
% 0.83/0.99 # Backward-rewritten : 48
% 0.83/0.99 # Generated clauses : 293
% 0.83/0.99 # ...of the previous two non-redundant : 253
% 0.83/0.99 # ...aggressively subsumed : 0
% 0.83/0.99 # Contextual simplify-reflections : 1
% 0.83/0.99 # Paramodulations : 293
% 0.83/0.99 # Factorizations : 0
% 0.83/0.99 # NegExts : 0
% 0.83/0.99 # Equation resolutions : 0
% 0.83/0.99 # Total rewrite steps : 111
% 0.83/0.99 # Propositional unsat checks : 0
% 0.83/0.99 # Propositional check models : 0
% 0.83/0.99 # Propositional check unsatisfiable : 0
% 0.83/0.99 # Propositional clauses : 0
% 0.83/0.99 # Propositional clauses after purity: 0
% 0.83/0.99 # Propositional unsat core size : 0
% 0.83/0.99 # Propositional preprocessing time : 0.000
% 0.83/0.99 # Propositional encoding time : 0.000
% 0.83/0.99 # Propositional solver time : 0.000
% 0.83/0.99 # Success case prop preproc time : 0.000
% 0.83/0.99 # Success case prop encoding time : 0.000
% 0.83/0.99 # Success case prop solver time : 0.000
% 0.83/0.99 # Current number of processed clauses : 225
% 0.83/0.99 # Positive orientable unit clauses : 65
% 0.83/0.99 # Positive unorientable unit clauses: 0
% 0.83/0.99 # Negative unit clauses : 4
% 0.83/0.99 # Non-unit-clauses : 156
% 0.83/0.99 # Current number of unprocessed clauses: 6
% 0.83/0.99 # ...number of literals in the above : 14
% 0.83/0.99 # Current number of archived formulas : 0
% 0.83/0.99 # Current number of archived clauses : 110
% 0.83/0.99 # Clause-clause subsumption calls (NU) : 8406
% 0.83/0.99 # Rec. Clause-clause subsumption calls : 6735
% 0.83/0.99 # Non-unit clause-clause subsumptions : 16
% 0.83/0.99 # Unit Clause-clause subsumption calls : 204
% 0.83/0.99 # Rewrite failures with RHS unbound : 0
% 0.83/0.99 # BW rewrite match attempts : 25
% 0.83/0.99 # BW rewrite match successes : 4
% 0.83/0.99 # Condensation attempts : 0
% 0.83/0.99 # Condensation successes : 0
% 0.83/0.99 # Termbank termtop insertions : 8178
% 0.83/0.99
% 0.83/0.99 # -------------------------------------------------
% 0.83/0.99 # User time : 0.021 s
% 0.83/0.99 # System time : 0.002 s
% 0.83/0.99 # Total time : 0.023 s
% 0.83/0.99 # Maximum resident set size: 1808 pages
% 0.83/0.99
% 0.83/0.99 # -------------------------------------------------
% 0.83/0.99 # User time : 0.024 s
% 0.83/0.99 # System time : 0.003 s
% 0.83/0.99 # Total time : 0.027 s
% 0.83/0.99 # Maximum resident set size: 1720 pages
% 0.83/0.99 % E---3.1 exiting
%------------------------------------------------------------------------------