%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV008-1.001 : TPTP v9.2.1. Released v2.1.0.
% 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 : n011.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 1.36s 1.73s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 30
% Syntax : Number of clauses : 112 ( 24 unt; 28 nHn; 112 RR)
% Number of literals : 249 ( 0 equ; 118 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 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 : 81 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(value_propagation1,axiom,
( value(X2,X3)
| ~ connection(X1,X2)
| ~ value(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',value_propagation1) ).
cnf(outc_0,hypothesis,
value(out(c,a),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
cnf(nbit_adder_connection_outc_outcv1,axiom,
( connection(out(c,X1),out(c,v(n1,X1)))
| ~ type(X1,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcv1) ).
cnf(a_isa_1bit_adder,hypothesis,
type(a,nbit_adder(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_isa_1bit_adder) ).
cnf(ok_or_abnormal,axiom,
( mode(X1,ok)
| mode(X1,abnormal)
| ~ type(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',ok_or_abnormal) ).
cnf(fulladder_or1,axiom,
( type(or1(X1),or)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_or1) ).
cnf(nbit_adder_fulladder1,axiom,
( type(v(n1,X1),fulladder)
| ~ type(X1,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_fulladder1) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( connection(out(c,X1),out(n1,or1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outc_out1or1) ).
cnf(diagnosis_or1v1,negated_conjecture,
~ mode(or1(v(n1,a)),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1v1) ).
cnf(or_1_11,axiom,
( value(in(n1,X1),n1)
| value(in(n2,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(out(n1,X1),n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_1_11) ).
cnf(value_propagation2,axiom,
( value(X1,X3)
| ~ connection(X1,X2)
| ~ value(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).
cnf(fulladder_connection_outch1_in2or1,axiom,
( connection(out(c,h1(X1)),in(n2,or1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch1_in2or1) ).
cnf(ina1_0,hypothesis,
value(in(a1,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ina1_0) ).
cnf(halfadder_and2,axiom,
( type(and2(X1),and)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_and2) ).
cnf(nbit_adder_connection_ina1_in1v1,axiom,
( connection(in(a1,X1),in(n1,v(n1,X1)))
| ~ type(X1,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_ina1_in1v1) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( connection(out(c,X1),out(n1,and2(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outc_out1and2) ).
cnf(fulladder_halfadder1,axiom,
( type(h1(X1),halfadder)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder1) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( connection(in(n1,X1),in(n1,h2(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in1_in1h2) ).
cnf(fulladder_halfadder2,axiom,
( type(h2(X1),halfadder)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder2) ).
cnf(diagnosis_and2h1v1,negated_conjecture,
~ mode(and2(h1(v(n1,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1v1) ).
cnf(and_1_1x,axiom,
( value(in(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_1_1x) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( connection(in(n1,X1),in(n1,and2(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1and2) ).
cnf(diagnosis_and2h2v1,negated_conjecture,
~ mode(and2(h2(v(n1,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h2v1) ).
cnf(and_0x_0,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(X2,X1),n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_0x_0) ).
cnf(inb1_0,hypothesis,
value(in(b1,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inb1_0) ).
cnf(nbit_adder_connection_inb1_in2v1,axiom,
( connection(in(b1,X1),in(n2,v(n1,X1)))
| ~ type(X1,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_inb1_in2v1) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( connection(in(n2,X1),in(n1,h1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in2_in1h1) ).
cnf(fulladder_connection_outch2_in1or1,axiom,
( connection(out(c,h2(X1)),in(n1,or1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch2_in1or1) ).
cnf(unique_value,axiom,
( equal_value(X2,X3)
| ~ value(X1,X2)
| ~ value(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',unique_value) ).
cnf(equal_value2,axiom,
~ equal_value(n1,n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',equal_value2) ).
cnf(c_0_30,axiom,
( value(X2,X3)
| ~ connection(X1,X2)
| ~ value(X1,X3) ),
value_propagation1 ).
cnf(c_0_31,hypothesis,
value(out(c,a),n1),
outc_0 ).
cnf(c_0_32,hypothesis,
( value(X1,n1)
| ~ connection(out(c,a),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,axiom,
( connection(out(c,X1),out(c,v(n1,X1)))
| ~ type(X1,nbit_adder(n1)) ),
nbit_adder_connection_outc_outcv1 ).
cnf(c_0_34,hypothesis,
type(a,nbit_adder(n1)),
a_isa_1bit_adder ).
cnf(c_0_35,axiom,
( mode(X1,ok)
| mode(X1,abnormal)
| ~ type(X1,X2) ),
ok_or_abnormal ).
cnf(c_0_36,axiom,
( type(or1(X1),or)
| ~ type(X1,fulladder) ),
fulladder_or1 ).
cnf(c_0_37,hypothesis,
value(out(c,v(n1,a)),n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_38,plain,
( mode(or1(X1),abnormal)
| mode(or1(X1),ok)
| ~ type(X1,fulladder) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,axiom,
( type(v(n1,X1),fulladder)
| ~ type(X1,nbit_adder(n1)) ),
nbit_adder_fulladder1 ).
cnf(c_0_40,hypothesis,
( value(X1,n1)
| ~ connection(out(c,v(n1,a)),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_41,axiom,
( connection(out(c,X1),out(n1,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outc_out1or1 ).
cnf(c_0_42,plain,
( mode(or1(v(n1,X1)),ok)
| mode(or1(v(n1,X1)),abnormal)
| ~ type(X1,nbit_adder(n1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
~ mode(or1(v(n1,a)),abnormal),
diagnosis_or1v1 ).
cnf(c_0_44,axiom,
( value(in(n1,X1),n1)
| value(in(n2,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(out(n1,X1),n1) ),
or_1_11 ).
cnf(c_0_45,hypothesis,
( value(out(n1,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,hypothesis,
mode(or1(v(n1,a)),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_34]),c_0_43]) ).
cnf(c_0_47,hypothesis,
( value(in(n2,or1(v(n1,a))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),c_0_36]) ).
cnf(c_0_48,axiom,
( value(X1,X3)
| ~ connection(X1,X2)
| ~ value(X2,X3) ),
value_propagation2 ).
cnf(c_0_49,hypothesis,
( value(in(n1,or1(v(n1,a))),n1)
| value(in(n2,or1(v(n1,a))),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_39]),c_0_34])]) ).
cnf(c_0_50,hypothesis,
( value(in(n1,or1(v(n1,a))),n1)
| value(X1,n1)
| ~ connection(X1,in(n2,or1(v(n1,a)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,axiom,
( connection(out(c,h1(X1)),in(n2,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outch1_in2or1 ).
cnf(c_0_52,hypothesis,
( value(out(c,h1(v(n1,a))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,hypothesis,
value(in(a1,a),n0),
ina1_0 ).
cnf(c_0_54,hypothesis,
( value(in(n1,or1(v(n1,a))),n1)
| value(out(c,h1(v(n1,a))),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_39]),c_0_34])]) ).
cnf(c_0_55,axiom,
( type(and2(X1),and)
| ~ type(X1,halfadder) ),
halfadder_and2 ).
cnf(c_0_56,hypothesis,
( value(X1,n0)
| ~ connection(in(a1,a),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_53]) ).
cnf(c_0_57,axiom,
( connection(in(a1,X1),in(n1,v(n1,X1)))
| ~ type(X1,nbit_adder(n1)) ),
nbit_adder_connection_ina1_in1v1 ).
cnf(c_0_58,hypothesis,
( value(in(n1,or1(v(n1,a))),n1)
| value(X1,n1)
| ~ connection(out(c,h1(v(n1,a))),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_54]) ).
cnf(c_0_59,axiom,
( connection(out(c,X1),out(n1,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_outc_out1and2 ).
cnf(c_0_60,plain,
( mode(and2(X1),abnormal)
| mode(and2(X1),ok)
| ~ type(X1,halfadder) ),
inference(spm,[status(thm)],[c_0_35,c_0_55]) ).
cnf(c_0_61,axiom,
( type(h1(X1),halfadder)
| ~ type(X1,fulladder) ),
fulladder_halfadder1 ).
cnf(c_0_62,hypothesis,
value(in(n1,v(n1,a)),n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_34])]) ).
cnf(c_0_63,hypothesis,
( value(out(n1,and2(h1(v(n1,a)))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(h1(v(n1,a)),halfadder) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( mode(and2(h1(X1)),ok)
| mode(and2(h1(X1)),abnormal)
| ~ type(X1,fulladder) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,hypothesis,
( value(X1,n0)
| ~ connection(in(n1,v(n1,a)),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_62]) ).
cnf(c_0_66,axiom,
( connection(in(n1,X1),in(n1,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_in1_in1h2 ).
cnf(c_0_67,axiom,
( type(h2(X1),halfadder)
| ~ type(X1,fulladder) ),
fulladder_halfadder2 ).
cnf(c_0_68,hypothesis,
( value(out(n1,and2(h1(v(n1,a)))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder) ),
inference(spm,[status(thm)],[c_0_63,c_0_61]) ).
cnf(c_0_69,plain,
( mode(and2(h1(v(n1,X1))),abnormal)
| mode(and2(h1(v(n1,X1))),ok)
| ~ type(X1,nbit_adder(n1)) ),
inference(spm,[status(thm)],[c_0_64,c_0_39]) ).
cnf(c_0_70,negated_conjecture,
~ mode(and2(h1(v(n1,a))),abnormal),
diagnosis_and2h1v1 ).
cnf(c_0_71,hypothesis,
( value(in(n1,h2(v(n1,a))),n0)
| ~ type(v(n1,a),fulladder) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( mode(and2(h2(X1)),ok)
| mode(and2(h2(X1)),abnormal)
| ~ type(X1,fulladder) ),
inference(spm,[status(thm)],[c_0_60,c_0_67]) ).
cnf(c_0_73,axiom,
( value(in(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n1) ),
and_1_1x ).
cnf(c_0_74,hypothesis,
( value(out(n1,and2(h1(v(n1,a)))),n1)
| value(in(n1,or1(v(n1,a))),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_39]),c_0_34])]) ).
cnf(c_0_75,hypothesis,
mode(and2(h1(v(n1,a))),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_34]),c_0_70]) ).
cnf(c_0_76,hypothesis,
( value(X1,n0)
| ~ type(v(n1,a),fulladder)
| ~ connection(in(n1,h2(v(n1,a))),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_71]) ).
cnf(c_0_77,axiom,
( connection(in(n1,X1),in(n1,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in1_in1and2 ).
cnf(c_0_78,plain,
( mode(and2(h2(v(n1,X1))),abnormal)
| mode(and2(h2(v(n1,X1))),ok)
| ~ type(X1,nbit_adder(n1)) ),
inference(spm,[status(thm)],[c_0_72,c_0_39]) ).
cnf(c_0_79,negated_conjecture,
~ mode(and2(h2(v(n1,a))),abnormal),
diagnosis_and2h2v1 ).
cnf(c_0_80,hypothesis,
( value(in(n1,and2(h1(v(n1,a)))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(and2(h1(v(n1,a))),and) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_81,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(X2,X1),n0) ),
and_0x_0 ).
cnf(c_0_82,hypothesis,
( value(in(n1,and2(h2(v(n1,a)))),n0)
| ~ type(v(n1,a),fulladder) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_67]) ).
cnf(c_0_83,hypothesis,
mode(and2(h2(v(n1,a))),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_34]),c_0_79]) ).
cnf(c_0_84,hypothesis,
( value(in(n1,and2(h1(v(n1,a)))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(h1(v(n1,a)),halfadder) ),
inference(spm,[status(thm)],[c_0_80,c_0_55]) ).
cnf(c_0_85,hypothesis,
( value(out(n1,and2(h2(v(n1,a)))),n0)
| ~ type(and2(h2(v(n1,a))),and)
| ~ type(v(n1,a),fulladder) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_86,hypothesis,
value(in(b1,a),n0),
inb1_0 ).
cnf(c_0_87,hypothesis,
( value(in(n1,and2(h1(v(n1,a)))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder) ),
inference(spm,[status(thm)],[c_0_84,c_0_61]) ).
cnf(c_0_88,hypothesis,
( value(X1,n0)
| ~ type(and2(h2(v(n1,a))),and)
| ~ type(v(n1,a),fulladder)
| ~ connection(X1,out(n1,and2(h2(v(n1,a))))) ),
inference(spm,[status(thm)],[c_0_48,c_0_85]) ).
cnf(c_0_89,hypothesis,
( value(X1,n0)
| ~ connection(in(b1,a),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_86]) ).
cnf(c_0_90,axiom,
( connection(in(b1,X1),in(n2,v(n1,X1)))
| ~ type(X1,nbit_adder(n1)) ),
nbit_adder_connection_inb1_in2v1 ).
cnf(c_0_91,hypothesis,
( value(in(n1,and2(h1(v(n1,a)))),n1)
| value(in(n1,or1(v(n1,a))),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_39]),c_0_34])]) ).
cnf(c_0_92,hypothesis,
( value(out(c,h2(v(n1,a))),n0)
| ~ type(and2(h2(v(n1,a))),and)
| ~ type(v(n1,a),fulladder) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_59]),c_0_67]) ).
cnf(c_0_93,hypothesis,
value(in(n2,v(n1,a)),n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_34])]) ).
cnf(c_0_94,hypothesis,
( value(in(n1,or1(v(n1,a))),n1)
| value(X1,n1)
| ~ connection(X1,in(n1,and2(h1(v(n1,a))))) ),
inference(spm,[status(thm)],[c_0_48,c_0_91]) ).
cnf(c_0_95,hypothesis,
( value(out(c,h2(v(n1,a))),n0)
| ~ type(v(n1,a),fulladder) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_55]),c_0_67]) ).
cnf(c_0_96,hypothesis,
( value(X1,n0)
| ~ connection(in(n2,v(n1,a)),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_93]) ).
cnf(c_0_97,axiom,
( connection(in(n2,X1),in(n1,h1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_in2_in1h1 ).
cnf(c_0_98,hypothesis,
( value(in(n1,h1(v(n1,a))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(h1(v(n1,a)),halfadder) ),
inference(spm,[status(thm)],[c_0_94,c_0_77]) ).
cnf(c_0_99,hypothesis,
( value(X1,n0)
| ~ type(v(n1,a),fulladder)
| ~ connection(out(c,h2(v(n1,a))),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_95]) ).
cnf(c_0_100,axiom,
( connection(out(c,h2(X1)),in(n1,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outch2_in1or1 ).
cnf(c_0_101,axiom,
( equal_value(X2,X3)
| ~ value(X1,X2)
| ~ value(X1,X3) ),
unique_value ).
cnf(c_0_102,hypothesis,
( value(in(n1,h1(v(n1,a))),n0)
| ~ type(v(n1,a),fulladder) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,hypothesis,
( value(in(n1,or1(v(n1,a))),n1)
| value(in(n1,h1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder) ),
inference(spm,[status(thm)],[c_0_98,c_0_61]) ).
cnf(c_0_104,hypothesis,
( value(in(n1,or1(v(n1,a))),n0)
| ~ type(v(n1,a),fulladder) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,hypothesis,
( equal_value(X1,n0)
| ~ type(v(n1,a),fulladder)
| ~ value(in(n1,h1(v(n1,a))),X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,hypothesis,
( value(in(n1,h1(v(n1,a))),n1)
| value(in(n1,or1(v(n1,a))),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_39]),c_0_34])]) ).
cnf(c_0_107,axiom,
~ equal_value(n1,n0),
equal_value2 ).
cnf(c_0_108,hypothesis,
( equal_value(X1,n0)
| ~ type(v(n1,a),fulladder)
| ~ value(in(n1,or1(v(n1,a))),X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_104]) ).
cnf(c_0_109,hypothesis,
( value(in(n1,or1(v(n1,a))),n1)
| ~ type(v(n1,a),fulladder) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_110,hypothesis,
~ type(v(n1,a),fulladder),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_107]) ).
cnf(c_0_111,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_39]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV008-1.001 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12 % 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
% 0.15/0.32 % Computer : n011.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 19:10:32 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.36/1.73 % Version : CSE_E---1.7
% 1.36/1.73 % Problem : theBenchmark.p
% 1.36/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.36/1.73 % SZS output start CNFRefutation
% See solution above
% 1.36/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------