TSTP Solution File: HWV023-2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : HWV023-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 : Thu Aug 31 02:00:08 EDT 2023
% Result : Unsatisfiable 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 61
% Syntax : Number of formulae : 81 ( 22 unt; 49 typ; 0 def)
% Number of atoms : 53 ( 21 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 41 >; 22 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 8 con; 0-3 aty)
% Number of variables : 24 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
fwork_DOTfifo_DOTrtl_DOTmem_: $i > $i ).
tff(decl_23,type,
f__length_: $i > $i ).
tff(decl_24,type,
fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i ).
tff(decl_25,type,
n1: $i ).
tff(decl_26,type,
f_SUB_: ( $i * $i ) > $i ).
tff(decl_27,type,
f_ADD_: ( $i * $i ) > $i ).
tff(decl_28,type,
fwork_DOTfifo_DOTrtl_DOTdata__out_: $i > $i ).
tff(decl_29,type,
fwork_DOTfifo_DOTrtl_DOTfifo__width_: $i ).
tff(decl_30,type,
fwork_DOTfifo_DOTrtl_DOTdata__in_: $i > $i ).
tff(decl_31,type,
fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).
tff(decl_32,type,
fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).
tff(decl_33,type,
fwork_DOTfifo_DOTrtl_DOTfull_: $i > $i ).
tff(decl_34,type,
p__pred_: $i > $o ).
tff(decl_35,type,
fwork_DOTfifo_DOTrtl_DOTempty_: $i > $i ).
tff(decl_36,type,
n0: $i ).
tff(decl_37,type,
fwork_DOTfifo_DOTrtl_DOTrd__level_: $i > $i ).
tff(decl_38,type,
fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).
tff(decl_39,type,
fwork_DOTfifo_DOTrtl_DOTwr__level_: $i > $i ).
tff(decl_40,type,
fwork_DOTfifo_DOTrtl_DOTwr__error_: $i > $i ).
tff(decl_41,type,
fwork_DOTfifo_DOTrtl_DOTrd__error_: $i > $i ).
tff(decl_42,type,
f__index_: ( $i * $i ) > $i ).
tff(decl_43,type,
p_LES_EQU_: ( $i * $i ) > $o ).
tff(decl_44,type,
fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i ).
tff(decl_45,type,
fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i ).
tff(decl_46,type,
fstd_DOTstandard_DOTmod_: ( $i * $i ) > $i ).
tff(decl_47,type,
def_89: ( $i * $i ) > $o ).
tff(decl_48,type,
y_105: $i > $i ).
tff(decl_49,type,
f__cons_: ( $i * $i ) > $i ).
tff(decl_50,type,
f__empty_: $i ).
tff(decl_51,type,
f__concat_: ( $i * $i ) > $i ).
tff(decl_52,type,
f__slice_: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
f__others_: $i > $i ).
tff(decl_54,type,
length: $i > $i ).
tff(decl_55,type,
f__and_: ( $i * $i ) > $i ).
tff(decl_56,type,
f__or_: ( $i * $i ) > $i ).
tff(decl_57,type,
f__xor_: ( $i * $i ) > $i ).
tff(decl_58,type,
f__nand_: ( $i * $i ) > $i ).
tff(decl_59,type,
f__nor_: ( $i * $i ) > $i ).
tff(decl_60,type,
f__xnor_: ( $i * $i ) > $i ).
tff(decl_61,type,
f__not_: $i > $i ).
tff(decl_62,type,
f__true_: $i ).
tff(decl_63,type,
f__false_: $i ).
tff(decl_64,type,
f__equiv_: ( $i * $i ) > $i ).
tff(decl_65,type,
f__equal_: ( $i * $i ) > $i ).
tff(decl_66,type,
f__lt_: ( $i * $i ) > $i ).
tff(decl_67,type,
f__leq_: ( $i * $i ) > $i ).
tff(decl_68,type,
f__gt_: ( $i * $i ) > $i ).
tff(decl_69,type,
f__geq_: ( $i * $i ) > $i ).
tff(decl_70,type,
t_206: $i ).
cnf(axiom_43,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_43) ).
cnf(axiom_5,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
cnf(axiom_60,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
cnf(axiom_77,axiom,
f_ADD_(n0,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
cnf(axiom_8,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_8) ).
cnf(quest_2,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_1,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
cnf(quest_3,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(quest_4,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
cnf(axiom_64,axiom,
( X1 != X2
| ~ def_89(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_64) ).
cnf(quest_5,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
cnf(axiom_63,axiom,
( def_89(X1,X2)
| f_SUB_(X2,X1) = X3
| f_ADD_(X3,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_63) ).
cnf(c_0_12,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
axiom_43 ).
cnf(c_0_13,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
axiom_5 ).
cnf(c_0_14,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
axiom_60 ).
cnf(c_0_15,axiom,
f_ADD_(n0,X1) = X1,
axiom_77 ).
cnf(c_0_16,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
axiom_8 ).
cnf(c_0_17,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
quest_2 ).
cnf(c_0_19,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
quest_1 ).
cnf(c_0_20,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
quest_3 ).
cnf(c_0_21,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
quest_4 ).
cnf(c_0_22,plain,
~ p_LES_EQU_(n1,n0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,axiom,
( X1 != X2
| ~ def_89(X2,X1) ),
axiom_64 ).
cnf(c_0_24,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(X1) != n0 ),
inference(rw,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_25,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_19]),c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
quest_5 ).
cnf(c_0_27,axiom,
( def_89(X1,X2)
| f_SUB_(X2,X1) = X3
| f_ADD_(X3,X1) != X2 ),
axiom_63 ).
cnf(c_0_28,plain,
~ def_89(X1,X1),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
f_SUB_(n1,n1) != n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,plain,
f_SUB_(X1,X1) = n0,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_15])]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV023-2 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 16:04:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.19/0.61 % Version : CSE_E---1.5
% 0.19/0.61 % Problem : theBenchmark.p
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark.p
% 0.19/0.61 % SZS output start Proof
% See solution above
% 0.19/0.62 % Total time : 0.020000 s
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time : 0.025000 s
%------------------------------------------------------------------------------