TSTP Solution File: SWV251-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV251-2 : 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 : n010.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 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 22
% Syntax : Number of formulae : 38 ( 12 unt; 13 typ; 0 def)
% Number of atoms : 42 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 8 >; 10 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 56 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_Message_Omsg: $i ).
tff(decl_23,type,
tc_set: $i > $i ).
tff(decl_24,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_Message_Oanalz: $i > $i ).
tff(decl_26,type,
c_minus: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
v_X: $i ).
tff(decl_31,type,
v_G: $i ).
tff(decl_32,type,
c_Message_Osynth: $i > $i ).
tff(decl_33,type,
v_x: $i ).
tff(decl_34,type,
v_H: $i ).
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_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_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_Osubset__refl_0,axiom,
c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_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_Set_Oinsert__Diff1_0,axiom,
( c_minus(c_insert(X1,X4,X3),X2,tc_set(X3)) = c_minus(X4,X2,tc_set(X3))
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_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(c_0_9,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_10,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_11,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_12,axiom,
c_lessequals(X1,X1,tc_set(X2)),
cls_Set_Osubset__refl_0 ).
cnf(c_0_13,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_lessequals(X3,X2,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,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_16,axiom,
( c_minus(c_insert(X1,X4,X3),X2,tc_set(X3)) = c_minus(X4,X2,tc_set(X3))
| ~ c_in(X1,X2,X3) ),
cls_Set_Oinsert__Diff1_0 ).
cnf(c_0_17,plain,
( c_in(X1,c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( c_union(X1,c_insert(X2,X3,X4),X4) = c_union(X1,X3,X4)
| ~ c_in(X2,X1,X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_15]) ).
cnf(c_0_19,plain,
( c_in(X1,c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_insert(X4,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X4,X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_1 ).
cnf(c_0_21,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_22,negated_conjecture,
( c_in(v_x,c_Message_Oanalz(c_union(X1,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,X1,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
cls_conjecture_0 ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV251-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n010.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 05:16:04 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 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 : 0.020000 s
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time : 0.023000 s
%------------------------------------------------------------------------------