TSTP Solution File: HWV023-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : HWV023-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 02:00:07 EDT 2023
% Result : Unsatisfiable 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 35
% Syntax : Number of formulae : 55 ( 21 unt; 23 typ; 0 def)
% Number of atoms : 54 ( 21 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 22 |; 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 : 27 ( 19 >; 8 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
n1: $i ).
tff(decl_23,type,
plus: ( $i * $i ) > $i ).
tff(decl_24,type,
n0: $i ).
tff(decl_25,type,
gt: ( $i * $i ) > $o ).
tff(decl_26,type,
minus: ( $i * $i ) > $i ).
tff(decl_27,type,
def_10: ( $i * $i ) > $o ).
tff(decl_28,type,
y_27: $i > $i ).
tff(decl_29,type,
level: $i > $i ).
tff(decl_30,type,
int_level: $i > $i ).
tff(decl_31,type,
fifo_length: $i ).
tff(decl_32,type,
p_Full: $i > $o ).
tff(decl_33,type,
p_Empty: $i > $o ).
tff(decl_34,type,
p_Reset: $i > $o ).
tff(decl_35,type,
wr_level: $i > $i ).
tff(decl_36,type,
rd_level: $i > $i ).
tff(decl_37,type,
p_Wr_error: $i > $o ).
tff(decl_38,type,
p_Rd_error: $i > $o ).
tff(decl_39,type,
p_Mem: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
p_Data_out: ( $i * $i ) > $o ).
tff(decl_41,type,
p_Wr: $i > $o ).
tff(decl_42,type,
p_Rd: $i > $o ).
tff(decl_43,type,
p_Data_in: ( $i * $i ) > $o ).
tff(decl_44,type,
t_139: $i ).
cnf(axiom_5,axiom,
( minus(X1,X2) = X3
| def_10(X2,X1)
| plus(X3,X2) != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_5) ).
cnf(axiom_7,axiom,
( ~ def_10(X1,X2)
| X2 != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_7) ).
cnf(axiom_24,axiom,
( p_Empty(X1)
| int_level(X1) != n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_24) ).
cnf(axiom_21,axiom,
level(X1) = int_level(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
cnf(axiom_71,axiom,
( p_Reset(X1)
| p_Wr(X1)
| int_level(plus(X1,n1)) = minus(int_level(X1),n1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_71) ).
cnf(axiom_19,axiom,
plus(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
cnf(axiom_2,axiom,
gt(plus(X1,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
cnf(quest_5,negated_conjecture,
~ p_Empty(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
cnf(quest_1,negated_conjecture,
level(t_139) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
cnf(quest_3,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
cnf(quest_2,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_4,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
cnf(c_0_12,axiom,
( minus(X1,X2) = X3
| def_10(X2,X1)
| plus(X3,X2) != X1 ),
axiom_5 ).
cnf(c_0_13,axiom,
( ~ def_10(X1,X2)
| X2 != X1 ),
axiom_7 ).
cnf(c_0_14,axiom,
( p_Empty(X1)
| int_level(X1) != n0 ),
axiom_24 ).
cnf(c_0_15,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_16,axiom,
( p_Reset(X1)
| p_Wr(X1)
| int_level(plus(X1,n1)) = minus(int_level(X1),n1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
axiom_71 ).
cnf(c_0_17,plain,
( minus(plus(X1,X2),X2) = X1
| def_10(X2,plus(X1,X2)) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_18,axiom,
plus(n0,X1) = X1,
axiom_19 ).
cnf(c_0_19,plain,
~ def_10(X1,X1),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_20,axiom,
gt(plus(X1,n1),n0),
axiom_2 ).
cnf(c_0_21,negated_conjecture,
~ p_Empty(plus(t_139,n1)),
quest_5 ).
cnf(c_0_22,plain,
( p_Empty(X1)
| level(X1) != n0 ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,plain,
( level(plus(X1,n1)) = minus(level(X1),n1)
| p_Reset(X1)
| p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(level(X1),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_24,negated_conjecture,
level(t_139) = n1,
quest_1 ).
cnf(c_0_25,plain,
minus(X1,X1) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_26,negated_conjecture,
p_Rd(t_139),
quest_3 ).
cnf(c_0_27,plain,
gt(n1,n0),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_28,negated_conjecture,
level(plus(t_139,n1)) != n0,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
~ p_Wr(t_139),
quest_2 ).
cnf(c_0_30,negated_conjecture,
~ p_Reset(t_139),
quest_4 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV023-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.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 14:37:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.61 % Total time : 0.030000 s
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time : 0.035000 s
%------------------------------------------------------------------------------