TSTP Solution File: SET865-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 14:36:04 EDT 2023
% Result : Unsatisfiable 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of formulae : 32 ( 6 unt; 10 typ; 0 def)
% Number of atoms : 45 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 27 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 8 >; 8 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
t_a: $i ).
tff(decl_23,type,
c_Union: ( $i * $i ) > $i ).
tff(decl_24,type,
v_S: $i ).
tff(decl_25,type,
tc_set: $i > $i ).
tff(decl_26,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_Zorn_Ochain: ( $i * $i ) > $i ).
tff(decl_28,type,
v_x: $i > $i ).
tff(decl_29,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
c_Zorn_OHausdorff__1: ( $i * $i ) > $i ).
tff(decl_31,type,
c_Zorn_Omaxchain: ( $i * $i ) > $i ).
cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
( c_Union(X4,X3) = X1
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Omaxchain(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Union(X4,X3),X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
cnf(cls_Zorn_OHausdorff_0,axiom,
c_in(c_Zorn_OHausdorff__1(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_lessequals(X1,v_x(X1),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( X1 != v_x(X1)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Zorn_Omaxchain__subset__chain_0,axiom,
c_lessequals(c_Zorn_Omaxchain(X1,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(tc_set(X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_in(v_x(X1),v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
( c_in(c_Union(X1,t_a),v_S,tc_set(t_a))
| ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_8,axiom,
( c_Union(X4,X3) = X1
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Omaxchain(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Union(X4,X3),X1,tc_set(X3)) ),
cls_Zorn_Omaxchain__Zorn_0 ).
cnf(c_0_9,axiom,
c_in(c_Zorn_OHausdorff__1(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))),
cls_Zorn_OHausdorff_0 ).
cnf(c_0_10,plain,
( c_Union(c_Zorn_OHausdorff__1(X1,X2),X2) = X3
| ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X1,X2),X2),X3,tc_set(X2))
| ~ c_in(X3,X1,tc_set(X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( c_lessequals(X1,v_x(X1),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
cls_conjecture_2 ).
cnf(c_0_12,negated_conjecture,
( X1 != v_x(X1)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
cls_conjecture_3 ).
cnf(c_0_13,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
cls_Set_OsubsetD_0 ).
cnf(c_0_14,axiom,
c_lessequals(c_Zorn_Omaxchain(X1,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(tc_set(X2)))),
cls_Zorn_Omaxchain__subset__chain_0 ).
cnf(c_0_15,negated_conjecture,
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X1,t_a),t_a)),X1,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X1,t_a),t_a),v_S,tc_set(t_a)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( c_in(v_x(X1),v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
cls_conjecture_1 ).
cnf(c_0_17,negated_conjecture,
( c_in(c_Union(X1,t_a),v_S,tc_set(t_a))
| ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
cls_conjecture_0 ).
cnf(c_0_18,plain,
( c_in(X1,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_Omaxchain(X2,X3),tc_set(tc_set(X3))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( c_in(c_Union(X1,t_a),v_S,tc_set(t_a))
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n013.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 : Sat Aug 26 08:30:02 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.62 start to proof: theBenchmark
% 0.20/0.63 % Version : CSE_E---1.5
% 0.20/0.63 % Problem : theBenchmark.p
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark.p
% 0.20/0.63 % SZS output start Proof
% See solution above
% 0.20/0.64 % Total time : 0.005000 s
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time : 0.007000 s
%------------------------------------------------------------------------------