TSTP Solution File: SWV242-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV242-2 : 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 : n025.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 21:37:11 EDT 2023
% Result : Unsatisfiable 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 29 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 28 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_G: $i ).
tff(decl_23,type,
v_G_H: $i ).
tff(decl_24,type,
c_Message_Oanalz: $i > $i ).
tff(decl_25,type,
tc_Message_Omsg: $i ).
tff(decl_26,type,
tc_set: $i > $i ).
tff(decl_27,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
v_H: $i ).
tff(decl_29,type,
v_H_H: $i ).
tff(decl_30,type,
c_union: ( $i * $i * $i ) > $i ).
cnf(cls_Set_Osubset__trans_0,axiom,
( c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
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_0,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OUn__upper2_0,axiom,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).
cnf(cls_Set_OUn__upper1_0,axiom,
c_lessequals(X1,c_union(X1,X2,X3),tc_set(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).
cnf(c_0_7,axiom,
( c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X1,tc_set(X3)) ),
cls_Set_Osubset__trans_0 ).
cnf(c_0_8,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_9,negated_conjecture,
( c_lessequals(v_H,X1,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_H_H),X1,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
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,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
cls_conjecture_0 ).
cnf(c_0_12,negated_conjecture,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
cls_conjecture_2 ).
cnf(c_0_13,negated_conjecture,
( c_lessequals(v_H,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H_H,X1,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,axiom,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
cls_Set_OUn__upper2_0 ).
cnf(c_0_15,negated_conjecture,
( c_lessequals(v_G,X1,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_G_H),X1,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
( c_lessequals(v_G,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G_H,X1,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_18,axiom,
c_lessequals(X1,c_union(X1,X2,X3),tc_set(X3)),
cls_Set_OUn__upper1_0 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV242-2 : 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
% 0.16/0.34 % Computer : n025.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Aug 29 09:18:40 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.55 % Version : CSE_E---1.5
% 0.19/0.55 % Problem : theBenchmark.p
% 0.19/0.55 % Proof found
% 0.19/0.55 % SZS status Theorem for theBenchmark.p
% 0.19/0.55 % SZS output start Proof
% See solution above
% 0.19/0.55 % Total time : 0.005000 s
% 0.19/0.56 % SZS output end Proof
% 0.19/0.56 % Total time : 0.007000 s
%------------------------------------------------------------------------------