TSTP Solution File: SWV252-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV252-2 : 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 : n029.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 21:37:16 EDT 2023
% Result : Unsatisfiable 0.58s 0.65s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 73 ( 35 unt; 13 typ; 0 def)
% Number of atoms : 91 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 34 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 10 >; 10 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 126 ( 15 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_X: $i ).
tff(decl_23,type,
v_H: $i ).
tff(decl_24,type,
c_Message_Oanalz: $i > $i ).
tff(decl_25,type,
c_Message_Osynth: $i > $i ).
tff(decl_26,type,
tc_Message_Omsg: $i ).
tff(decl_27,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Message_Oparts: $i > $i ).
tff(decl_30,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
tc_set: $i > $i ).
tff(decl_32,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_34,type,
c_minus: ( $i * $i * $i ) > $i ).
cnf(cls_Message_Oanalz__subset__iff_0,axiom,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__iff_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(clsarity_set_2,axiom,
class_Orderings_Oorder(tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_2) ).
cnf(cls_Set_OUn__subset__iff_0,axiom,
( c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
cnf(cls_Message_Oparts__synth_0,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(cls_Set_Oinsert__subset_2,axiom,
( c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
cnf(cls_Set_OUn__subset__iff_1,axiom,
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
cnf(cls_Message_Oanalz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
cnf(cls_Message_Oparts__subset__iff_0,axiom,
( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_Oinsert__subset_1,axiom,
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_1) ).
cnf(cls_Set_OUn__subset__iff_2,axiom,
( c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).
cnf(cls_Set_OUn__Diff__cancel2_0,axiom,
c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
cnf(cls_Set_Oinsert__subset_0,axiom,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_0) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_Set_OUn__Diff__cancel_0,axiom,
c_union(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_union(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oparts__subset__iff_1,axiom,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
cnf(c_0_19,axiom,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
cls_Message_Oanalz__subset__iff_0 ).
cnf(c_0_20,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0 ).
cnf(c_0_21,axiom,
class_Orderings_Oorder(tc_set(X1)),
clsarity_set_2 ).
cnf(c_0_22,axiom,
( c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
cls_Set_OUn__subset__iff_0 ).
cnf(c_0_23,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg),
cls_Message_Oparts__synth_0 ).
cnf(c_0_25,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_Message_Oparts__analz_0 ).
cnf(c_0_26,axiom,
( c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
cls_Set_Oinsert__subset_2 ).
cnf(c_0_27,axiom,
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
cls_Set_OUn__subset__iff_1 ).
cnf(c_0_28,plain,
c_lessequals(X1,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))) = c_union(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_Message_Oanalz__parts_0 ).
cnf(c_0_31,axiom,
( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
cls_Message_Oparts__subset__iff_0 ).
cnf(c_0_32,plain,
( c_lessequals(c_insert(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21])]) ).
cnf(c_0_33,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
cls_conjecture_0 ).
cnf(c_0_34,axiom,
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
cls_Set_Oinsert__subset_1 ).
cnf(c_0_35,axiom,
( c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
cls_Set_OUn__subset__iff_2 ).
cnf(c_0_36,plain,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_21])]) ).
cnf(c_0_37,plain,
c_lessequals(X1,c_union(X1,X2,X3),tc_set(X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_21])]) ).
cnf(c_0_38,axiom,
c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
cls_Set_OUn__Diff__cancel2_0 ).
cnf(c_0_39,plain,
c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_set(tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_40,axiom,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
cls_Set_Oinsert__subset_0 ).
cnf(c_0_41,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_21])]) ).
cnf(c_0_42,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
cls_Set_Osubset__antisym_0 ).
cnf(c_0_43,negated_conjecture,
c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_H)),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,plain,
c_lessequals(X1,c_insert(X2,X1,X3),tc_set(X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_20]),c_0_21])]) ).
cnf(c_0_45,plain,
( c_lessequals(c_union(X1,X2,X3),c_union(X4,X1,X3),tc_set(X3))
| ~ c_lessequals(X2,c_union(X4,X1,X3),tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
c_lessequals(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,axiom,
c_union(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_union(X1,X2,X3),
cls_Set_OUn__Diff__cancel_0 ).
cnf(c_0_48,plain,
c_lessequals(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_49,plain,
c_in(X1,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oanalz(v_H)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_51,plain,
c_lessequals(c_union(X1,X2,X3),c_union(X2,X1,X3),tc_set(X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_52,plain,
( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_set(tc_Message_Omsg))
| ~ c_in(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_26,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_55,plain,
c_union(X1,X2,X3) = c_union(X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_51]),c_0_51])]) ).
cnf(c_0_56,axiom,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
cls_Message_Oparts__subset__iff_1 ).
cnf(c_0_57,negated_conjecture,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_29]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWV252-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.29 % Computer : n029.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Aug 29 05:18:56 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.13/0.50 start to proof: theBenchmark
% 0.58/0.65 % Version : CSE_E---1.5
% 0.58/0.65 % Problem : theBenchmark.p
% 0.58/0.65 % Proof found
% 0.58/0.65 % SZS status Theorem for theBenchmark.p
% 0.58/0.65 % SZS output start Proof
% See solution above
% 0.58/0.65 % Total time : 0.142000 s
% 0.58/0.65 % SZS output end Proof
% 0.58/0.65 % Total time : 0.144000 s
%------------------------------------------------------------------------------