%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV005-2 : 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 : n027.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 04:28:52 PM UTC 2026
% Result : Unsatisfiable 1.30s 1.74s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of clauses : 76 ( 25 unt; 13 nHn; 76 RR)
% Number of literals : 156 ( 0 equ; 77 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(outs_0,hypothesis,
zero(outs(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_0) ).
cnf(h_isa_halfadder,hypothesis,
halfadder(h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_isa_halfadder) ).
cnf(diagnosis_and1,negated_conjecture,
~ abnormal(and1(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1) ).
cnf(diagnosis_or1,negated_conjecture,
~ abnormal(or1(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1) ).
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(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_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(and_0_00,axiom,
( zero(in1(X1))
| zero(in2(X1))
| ~ and_ok(X1)
| ~ zero(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_0_00) ).
cnf(halfadder_connection_in1_in1or1,axiom,
( connection(in1(X1),in1(or1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1or1) ).
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(unique_value,axiom,
( ~ zero(X1)
| ~ one(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',unique_value) ).
cnf(in1_1,hypothesis,
one(in1(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
cnf(diagnosis_not1,negated_conjecture,
~ abnormal(not1(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1) ).
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(not_0_1_bw,axiom,
( one(in1(X1))
| ~ not_ok(X1)
| ~ zero(out1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_0_1_bw) ).
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_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(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(outc_0,hypothesis,
zero(outc(h)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
cnf(c_0_26,axiom,
( zero(X2)
| ~ connection(X1,X2)
| ~ zero(X1) ),
value_propagation_zero1 ).
cnf(c_0_27,axiom,
( connection(outs(X1),out1(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_outs_out1and1 ).
cnf(c_0_28,axiom,
( and_ok(X1)
| abnormal(X1)
| ~ logic_and(X1) ),
and_ok_or_abnormal ).
cnf(c_0_29,axiom,
( logic_and(and1(X1))
| ~ halfadder(X1) ),
halfadder_and1 ).
cnf(c_0_30,axiom,
( or_ok(X1)
| abnormal(X1)
| ~ logic_or(X1) ),
or_ok_or_abnormal ).
cnf(c_0_31,axiom,
( logic_or(or1(X1))
| ~ halfadder(X1) ),
halfadder_or1 ).
cnf(c_0_32,plain,
( zero(out1(and1(X1)))
| ~ halfadder(X1)
| ~ zero(outs(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,hypothesis,
zero(outs(h)),
outs_0 ).
cnf(c_0_34,hypothesis,
halfadder(h),
h_isa_halfadder ).
cnf(c_0_35,plain,
( abnormal(and1(X1))
| and_ok(and1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
~ abnormal(and1(h)),
diagnosis_and1 ).
cnf(c_0_37,plain,
( or_ok(or1(X1))
| abnormal(or1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
~ abnormal(or1(h)),
diagnosis_or1 ).
cnf(c_0_39,axiom,
( not_ok(X1)
| abnormal(X1)
| ~ logic_not(X1) ),
not_ok_or_abnormal ).
cnf(c_0_40,axiom,
( logic_not(not1(X1))
| ~ halfadder(X1) ),
halfadder_not1 ).
cnf(c_0_41,axiom,
( zero(X1)
| ~ connection(X1,X2)
| ~ zero(X2) ),
value_propagation_zero2 ).
cnf(c_0_42,axiom,
( connection(out1(not1(X1)),in2(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1not1_in2and1 ).
cnf(c_0_43,axiom,
( zero(in1(X1))
| zero(in2(X1))
| ~ and_ok(X1)
| ~ zero(out1(X1)) ),
and_0_00 ).
cnf(c_0_44,hypothesis,
zero(out1(and1(h))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_45,hypothesis,
and_ok(and1(h)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_34]),c_0_36]) ).
cnf(c_0_46,axiom,
( connection(in1(X1),in1(or1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_in1_in1or1 ).
cnf(c_0_47,axiom,
( zero(in1(X1))
| ~ or_ok(X1)
| ~ zero(out1(X1)) ),
or_0_0x ).
cnf(c_0_48,hypothesis,
or_ok(or1(h)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_34]),c_0_38]) ).
cnf(c_0_49,axiom,
( ~ zero(X1)
| ~ one(X1) ),
unique_value ).
cnf(c_0_50,hypothesis,
one(in1(h)),
in1_1 ).
cnf(c_0_51,plain,
( not_ok(not1(X1))
| abnormal(not1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_52,negated_conjecture,
~ abnormal(not1(h)),
diagnosis_not1 ).
cnf(c_0_53,axiom,
( connection(out1(or1(X1)),in1(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1or1_in1_and1 ).
cnf(c_0_54,plain,
( zero(out1(not1(X1)))
| ~ halfadder(X1)
| ~ zero(in2(and1(X1))) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_55,hypothesis,
( zero(in2(and1(h)))
| zero(in1(and1(h))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_56,plain,
( zero(in1(X1))
| ~ halfadder(X1)
| ~ zero(in1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_41,c_0_46]) ).
cnf(c_0_57,hypothesis,
( zero(in1(or1(h)))
| ~ zero(out1(or1(h))) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,hypothesis,
~ zero(in1(h)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,axiom,
( one(in1(X1))
| ~ not_ok(X1)
| ~ zero(out1(X1)) ),
not_0_1_bw ).
cnf(c_0_60,hypothesis,
not_ok(not1(h)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_34]),c_0_52]) ).
cnf(c_0_61,plain,
( zero(out1(or1(X1)))
| ~ halfadder(X1)
| ~ zero(in1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_41,c_0_53]) ).
cnf(c_0_62,hypothesis,
( zero(in1(and1(h)))
| zero(out1(not1(h))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_34])]) ).
cnf(c_0_63,hypothesis,
~ zero(out1(or1(h))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_34])]),c_0_58]) ).
cnf(c_0_64,axiom,
( one(X1)
| ~ connection(X1,X2)
| ~ one(X2) ),
value_propagation_one2 ).
cnf(c_0_65,axiom,
( connection(out1(and2(X1)),in1(not1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1and2_in1not1 ).
cnf(c_0_66,hypothesis,
( one(in1(not1(h)))
| ~ zero(out1(not1(h))) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,hypothesis,
zero(out1(not1(h))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_34])]),c_0_63]) ).
cnf(c_0_68,axiom,
( connection(outc(X1),out1(and2(X1)))
| ~ halfadder(X1) ),
halfadder_connection_outc_out1and2 ).
cnf(c_0_69,plain,
( one(out1(and2(X1)))
| ~ halfadder(X1)
| ~ one(in1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,hypothesis,
one(in1(not1(h))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).
cnf(c_0_71,plain,
( zero(out1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(outc(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_68]) ).
cnf(c_0_72,hypothesis,
zero(outc(h)),
outc_0 ).
cnf(c_0_73,hypothesis,
one(out1(and2(h))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_34])]) ).
cnf(c_0_74,hypothesis,
zero(out1(and2(h))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_34])]) ).
cnf(c_0_75,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_73]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HWV005-2 : TPTP v9.2.1. Bugfixed v2.7.0.
% 0.00/0.13 % 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
% 0.18/0.34 % Computer : n027.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Mon May 4 19:10:19 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.18/0.36 % start to proof: theBenchmark
% 1.30/1.74 % Version : CSE_E---1.7
% 1.30/1.74 % Problem : theBenchmark.p
% 1.30/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.74 % SZS output start CNFRefutation
% See solution above
% 1.30/1.74 % Total time : 1.379s
%------------------------------------------------------------------------------