%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWC003-2 : TPTP v9.2.1. Released v1.1.0.
% 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 : n004.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 04:28:41 PM UTC 2026
% Result : Unsatisfiable 1.23s 1.67s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 29 unt; 0 nHn; 19 RR)
% Number of literals : 55 ( 11 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-10 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-8 aty)
% Number of variables : 107 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(inverter_test,axiom,
( test(not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),not(X8),add_inverter(X9,inverter_table(not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),not(X8))),make_reverse_list(list(inverter_table(not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),not(X8)),X9)))
| ~ output(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverter_test) ).
cnf(make_reverse_list_definition2,axiom,
make_reverse_list(X1) = end,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_reverse_list_definition2) ).
cnf(add_inverter_definition2,axiom,
add_inverter(X1,X2) = list(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_inverter_definition2) ).
cnf(input3,negated_conjecture,
output(n0,n1,n0,n1,n0,n1,n0,n1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input3) ).
cnf(not_definition1,axiom,
not(n0) = n1,
file('/export/starexec/sandbox/benchmark/Axioms/HWC002-0.ax',not_definition1) ).
cnf(not_definition2,axiom,
not(n1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/HWC002-0.ax',not_definition2) ).
cnf(create_test,axiom,
( basic_output(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ test(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',create_test) ).
cnf(basic_output_definition,axiom,
( output(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ basic_output(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basic_output_definition) ).
cnf(prove_cannot_construct_this,negated_conjecture,
( ~ output(n1,n1,n1,n1,n0,n0,n0,n0,X1)
| ~ output(n1,n1,n0,n0,n1,n1,n0,n0,X1)
| ~ output(n1,n0,n1,n0,n1,n0,n1,n0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cannot_construct_this) ).
cnf(add_inverter_definition1,axiom,
add_inverter(list(X1,X2),X3) = list(X1,add_inverter(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_inverter_definition1) ).
cnf(input2,negated_conjecture,
output(n0,n0,n1,n1,n0,n0,n1,n1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input2) ).
cnf(input1,negated_conjecture,
output(n0,n0,n0,n0,n1,n1,n1,n1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input1) ).
cnf(c_0_12,axiom,
( test(not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),not(X8),add_inverter(X9,inverter_table(not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),not(X8))),make_reverse_list(list(inverter_table(not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),not(X8)),X9)))
| ~ output(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inverter_test ).
cnf(c_0_13,axiom,
make_reverse_list(X1) = end,
make_reverse_list_definition2 ).
cnf(c_0_14,axiom,
add_inverter(X1,X2) = list(X2,X1),
add_inverter_definition2 ).
cnf(c_0_15,plain,
( test(not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),not(X8),list(inverter_table(not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),not(X8)),X9),end)
| ~ output(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_16,negated_conjecture,
output(n0,n1,n0,n1,n0,n1,n0,n1,X1),
input3 ).
cnf(c_0_17,axiom,
not(n0) = n1,
not_definition1 ).
cnf(c_0_18,axiom,
not(n1) = n0,
not_definition2 ).
cnf(c_0_19,axiom,
( basic_output(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ test(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) ),
create_test ).
cnf(c_0_20,negated_conjecture,
test(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X1),end),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_17]),c_0_18]),c_0_17]),c_0_18]),c_0_17]),c_0_18]),c_0_17]),c_0_18]),c_0_17]),c_0_18]),c_0_17]),c_0_18]),c_0_17]),c_0_18]) ).
cnf(c_0_21,axiom,
( output(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ basic_output(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
basic_output_definition ).
cnf(c_0_22,negated_conjecture,
basic_output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( ~ output(n1,n1,n1,n1,n0,n0,n0,n0,X1)
| ~ output(n1,n1,n0,n0,n1,n1,n0,n0,X1)
| ~ output(n1,n0,n1,n0,n1,n0,n1,n0,X1) ),
prove_cannot_construct_this ).
cnf(c_0_24,negated_conjecture,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X1)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,axiom,
add_inverter(list(X1,X2),X3) = list(X1,add_inverter(X2,X3)),
add_inverter_definition1 ).
cnf(c_0_26,negated_conjecture,
output(n0,n0,n1,n1,n0,n0,n1,n1,X1),
input2 ).
cnf(c_0_27,negated_conjecture,
( ~ output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X1))
| ~ output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
list(X1,list(X3,X2)) = list(X3,list(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_14]),c_0_14]) ).
cnf(c_0_29,negated_conjecture,
test(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X1),end),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_26]),c_0_17]),c_0_17]),c_0_18]),c_0_18]),c_0_17]),c_0_17]),c_0_18]),c_0_18]),c_0_17]),c_0_17]),c_0_18]),c_0_18]),c_0_17]),c_0_17]),c_0_18]),c_0_18]) ).
cnf(c_0_30,negated_conjecture,
( ~ output(n1,n1,n0,n0,n1,n1,n0,n0,list(X1,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X2)))
| ~ output(n1,n1,n1,n1,n0,n0,n0,n0,list(X1,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X2))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
basic_output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
output(n0,n0,n0,n0,n1,n1,n1,n1,X1),
input1 ).
cnf(c_0_33,negated_conjecture,
( ~ output(n1,n1,n0,n0,n1,n1,n0,n0,list(X1,list(X2,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X3))))
| ~ output(n1,n1,n1,n1,n0,n0,n0,n0,list(X1,list(X2,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X3)))) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X1)),
inference(spm,[status(thm)],[c_0_21,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
test(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),X1),end),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_32]),c_0_17]),c_0_17]),c_0_17]),c_0_17]),c_0_18]),c_0_18]),c_0_18]),c_0_18]),c_0_17]),c_0_17]),c_0_17]),c_0_17]),c_0_18]),c_0_18]),c_0_18]),c_0_18]) ).
cnf(c_0_36,negated_conjecture,
~ output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),list(X1,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X2)))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
basic_output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
~ output(n1,n1,n1,n1,n0,n0,n0,n0,list(X1,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_28]) ).
cnf(c_0_39,negated_conjecture,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),X1)),
inference(spm,[status(thm)],[c_0_21,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : HWC003-2 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.08 % 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
% 0.09/0.27 % Computer : n004.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon May 4 19:10:02 EDT 2026
% 0.09/0.27 % CPUTime :
% 0.09/0.28 % start to proof: theBenchmark
% 1.23/1.67 % Version : CSE_E---1.7
% 1.23/1.67 % Problem : theBenchmark.p
% 1.23/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.67 % SZS output start CNFRefutation
% See solution above
% 1.23/1.67 % Total time : 1.370s
%------------------------------------------------------------------------------