TSTP Solution File: SWW469+5 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 : Fri Sep 1 00:17:52 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 40
% Syntax : Number of formulae : 48 ( 8 unt; 37 typ; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 28 >; 39 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 9 con; 0-7 aty)
% Number of variables : 10 ( 1 sgn; 7 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cl_HOL_Oequal: $i > $o ).
tff(decl_23,type,
bool: $i ).
tff(decl_24,type,
fun: ( $i * $i ) > $i ).
tff(decl_25,type,
equal_equal: $i > $i ).
tff(decl_26,type,
ti: ( $i * $i ) > $i ).
tff(decl_27,type,
induct_equal: $i > $i ).
tff(decl_28,type,
induct_false: $i ).
tff(decl_29,type,
induct_true: $i ).
tff(decl_30,type,
undefined: $i > $i ).
tff(decl_31,type,
com: $i ).
tff(decl_32,type,
state: $i ).
tff(decl_33,type,
sum_sum: ( $i * $i ) > $i ).
tff(decl_34,type,
node: ( $i * $i ) > $i ).
tff(decl_35,type,
hoare_509422987triple: $i > $i ).
tff(decl_36,type,
hoare_244953527triple: $i > $i ).
tff(decl_37,type,
hoare_2037801986triple: $i > $i ).
tff(decl_38,type,
hoare_1883395792gleton: $i ).
tff(decl_39,type,
hoare_1580379338ep_set: $i > $i ).
tff(decl_40,type,
collect: $i > $i ).
tff(decl_41,type,
type_definition: ( $i * $i ) > $i ).
tff(decl_42,type,
fequal: $i > $i ).
tff(decl_43,type,
hAPP: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
hBOOL: $i > $o ).
tff(decl_45,type,
member: $i > $i ).
tff(decl_46,type,
enum: $i > $o ).
tff(decl_47,type,
esk1_0: $i ).
tff(decl_48,type,
esk2_0: $i ).
tff(decl_49,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk7_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
esk9_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk10_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
esk12_0: $i ).
fof(conj_1,conjecture,
! [X6] :
~ ! [X5] : ti(state,X5) = ti(state,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_0_state__not__singleton__def,axiom,
( hBOOL(hoare_1883395792gleton)
<=> ? [X5,X6] : ti(state,X5) != ti(state,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
fof(conj_0,hypothesis,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_3,negated_conjecture,
~ ! [X6] :
~ ! [X5] : ti(state,X5) = ti(state,X6),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_4,plain,
! [X49,X50] :
( ( ~ hBOOL(hoare_1883395792gleton)
| ti(state,esk1_0) != ti(state,esk2_0) )
& ( ti(state,X49) = ti(state,X50)
| hBOOL(hoare_1883395792gleton) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_state__not__singleton__def])])])]) ).
fof(c_0_5,negated_conjecture,
! [X181] : ti(state,X181) = ti(state,esk12_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( ~ hBOOL(hoare_1883395792gleton)
| ti(state,esk1_0) != ti(state,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
ti(state,X1) = ti(state,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
hBOOL(hoare_1883395792gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_9,plain,
~ hBOOL(hoare_1883395792gleton),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7])]) ).
cnf(c_0_10,hypothesis,
$false,
inference(sr,[status(thm)],[c_0_8,c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 19:07:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.008000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.014000 s
%------------------------------------------------------------------------------