TSTP Solution File: SWV249-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV249-2 : 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 : 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 : Thu Aug 31 21:37:15 EDT 2023
% Result : Unsatisfiable 2.13s 2.27s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 60 ( 29 unt; 13 typ; 0 def)
% Number of atoms : 71 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 9 >; 10 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 110 ( 11 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_X: $i ).
tff(decl_23,type,
v_G: $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,
v_H: $i ).
tff(decl_29,type,
c_insert: ( $i * $i * $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_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_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_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_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_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_Set_OUn__insert__left_0,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
cnf(cls_Set_OUn__insert__right_0,axiom,
c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__right_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__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__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_Oanalz__synth__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
cnf(cls_Message_Oanalz__analz__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
cnf(cls_Message_Oanalz__mono_0,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_15,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_16,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
cls_conjecture_0 ).
cnf(c_0_17,negated_conjecture,
( c_lessequals(c_insert(v_X,X1,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0 ).
cnf(c_0_19,axiom,
class_Orderings_Oorder(tc_set(X1)),
clsarity_set_2 ).
cnf(c_0_20,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_21,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_22,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
cls_Set_OUn__insert__left_0 ).
cnf(c_0_23,axiom,
c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
cls_Set_OUn__insert__right_0 ).
cnf(c_0_24,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_25,negated_conjecture,
c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_26,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_20,c_0_18]),c_0_19])]) ).
cnf(c_0_27,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_28,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_21,c_0_18]),c_0_19])]) ).
cnf(c_0_29,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_30,plain,
c_union(c_insert(X1,X2,X3),X4,X3) = c_union(X2,c_insert(X1,X4,X3),X3),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oanalz(v_G)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_32,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_27,c_0_28]) ).
cnf(c_0_33,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_29,c_0_18]),c_0_19])]) ).
cnf(c_0_34,negated_conjecture,
c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,X1,tc_Message_Omsg),tc_Message_Omsg) = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X1,tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
c_lessequals(c_union(X1,X2,X3),c_union(X2,X1,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg),
cls_Message_Oanalz__synth__Un_0 ).
cnf(c_0_37,axiom,
c_Message_Oanalz(c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),
cls_Message_Oanalz__analz__Un_0 ).
cnf(c_0_38,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
cls_Message_Oanalz__mono_0 ).
cnf(c_0_39,negated_conjecture,
c_lessequals(c_insert(v_X,X1,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X1,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_41,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_24,c_0_35]),c_0_35])]) ).
cnf(c_0_42,plain,
c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X1)),X2,tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
c_lessequals(c_Message_Oanalz(c_insert(v_X,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_41]) ).
cnf(c_0_45,negated_conjecture,
c_lessequals(c_Message_Oanalz(c_insert(v_X,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X1,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV249-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 04:25:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 2.13/2.27 % Version : CSE_E---1.5
% 2.13/2.27 % Problem : theBenchmark.p
% 2.13/2.27 % Proof found
% 2.13/2.27 % SZS status Theorem for theBenchmark.p
% 2.13/2.27 % SZS output start Proof
% See solution above
% 2.13/2.28 % Total time : 1.665000 s
% 2.13/2.28 % SZS output end Proof
% 2.13/2.28 % Total time : 1.668000 s
%------------------------------------------------------------------------------