TSTP Solution File: SWV246-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV246-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 21:37:13 EDT 2023
% Result : Unsatisfiable 0.42s 0.62s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 35 ( 10 unt; 10 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 19 |; 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 : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 10 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_X: $i ).
tff(decl_23,type,
v_Y: $i ).
tff(decl_24,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_25,type,
v_G: $i ).
tff(decl_26,type,
v_H: $i ).
tff(decl_27,type,
tc_Message_Omsg: $i ).
tff(decl_28,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Message_Oanalz: $i > $i ).
tff(decl_30,type,
c_Message_Osynth: $i > $i ).
tff(decl_31,type,
c_in: ( $i * $i * $i ) > $o ).
cnf(cls_Set_OUnE_0,axiom,
( c_in(X1,X3,X4)
| c_in(X1,X2,X4)
| ~ c_in(X1,c_union(X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OUnCI_1,axiom,
( c_in(X1,c_union(X2,X4,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
cnf(cls_Message_Oanalz_OInj_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
cnf(cls_Set_OUnCI_0,axiom,
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
cnf(cls_Message_OMPair__synth_0,axiom,
( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).
cnf(c_0_8,axiom,
( c_in(X1,X3,X4)
| c_in(X1,X2,X4)
| ~ c_in(X1,c_union(X2,X3,X4),X4) ),
cls_Set_OUnE_0 ).
cnf(c_0_9,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
cls_conjecture_1 ).
cnf(c_0_10,negated_conjecture,
~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_11,axiom,
( c_in(X1,c_union(X2,X4,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OUnCI_1 ).
cnf(c_0_12,axiom,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_Message_OMPair__analz_0 ).
cnf(c_0_13,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_Message_Oanalz_OInj_0 ).
cnf(c_0_14,negated_conjecture,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,axiom,
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OUnCI_0 ).
cnf(c_0_17,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,axiom,
( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
cls_Message_OMPair__synth_0 ).
cnf(c_0_19,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_21,plain,
( c_in(X1,c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X4,X1),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_22,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
c_in(v_Y,c_Message_Oanalz(c_union(v_G,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV246-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 11:17:15 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.42/0.61 start to proof: theBenchmark
% 0.42/0.62 % Version : CSE_E---1.5
% 0.42/0.62 % Problem : theBenchmark.p
% 0.42/0.62 % Proof found
% 0.42/0.62 % SZS status Theorem for theBenchmark.p
% 0.42/0.62 % SZS output start Proof
% See solution above
% 0.60/0.63 % Total time : 0.007000 s
% 0.60/0.63 % SZS output end Proof
% 0.60/0.63 % Total time : 0.010000 s
%------------------------------------------------------------------------------