TSTP Solution File: SWW951+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW951+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 : Fri Sep 1 00:19:19 EDT 2023
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of formulae : 44 ( 8 unt; 21 typ; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 15 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 10 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 23 ( 8 sgn; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
constr_CONST_0x30: $i ).
tff(decl_23,type,
constr_CONST_1: $i ).
tff(decl_24,type,
constr_CONST_2: $i ).
tff(decl_25,type,
constr_CONST_3: $i ).
tff(decl_26,type,
constr_CONST_4: $i ).
tff(decl_27,type,
constr_ZERO: $i ).
tff(decl_28,type,
name_c: $i ).
tff(decl_29,type,
name_k: $i ).
tff(decl_30,type,
name_objective: $i ).
tff(decl_31,type,
constr_xor: ( $i * $i ) > $i ).
tff(decl_32,type,
pred_attacker: $i > $o ).
tff(decl_33,type,
tuple_true: $i ).
tff(decl_34,type,
constr_h: $i > $i ).
tff(decl_35,type,
tuple_false: $i ).
tff(decl_36,type,
tuple_T_out_4: $i > $i ).
tff(decl_37,type,
tuple_T_out_2: $i > $i ).
tff(decl_38,type,
tuple_T_in_3: $i > $i ).
tff(decl_39,type,
tuple_T_in_1: $i > $i ).
tff(decl_40,type,
pred_mess: ( $i * $i ) > $o ).
tff(decl_41,type,
pred_equal: ( $i * $i ) > $o ).
tff(decl_42,type,
name_new0x2Dname: $i > $i ).
fof(ax64,axiom,
! [X26,X27] :
( ( pred_attacker(tuple_T_in_3(X26))
& pred_attacker(tuple_T_in_1(X27)) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(ax49,axiom,
! [X15] :
( pred_attacker(X15)
=> pred_attacker(tuple_T_in_3(X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(ax51,axiom,
! [X17] :
( pred_attacker(X17)
=> pred_attacker(tuple_T_in_1(X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(ax62,axiom,
! [X24] : pred_attacker(name_new0x2Dname(X24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(ax46,axiom,
! [X12] :
( pred_attacker(tuple_T_out_4(X12))
=> pred_attacker(X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(c_0_6,plain,
! [X53,X54] :
( ~ pred_attacker(tuple_T_in_3(X53))
| ~ pred_attacker(tuple_T_in_1(X54))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax64])]) ).
fof(c_0_7,plain,
! [X42] :
( ~ pred_attacker(X42)
| pred_attacker(tuple_T_in_3(X42)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
cnf(c_0_8,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_3(X1))
| ~ pred_attacker(tuple_T_in_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( pred_attacker(tuple_T_in_3(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X44] :
( ~ pred_attacker(X44)
| pred_attacker(tuple_T_in_1(X44)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
cnf(c_0_11,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X51] : pred_attacker(name_new0x2Dname(X51)),
inference(variable_rename,[status(thm)],[ax62]) ).
cnf(c_0_14,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
pred_attacker(name_new0x2Dname(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X39] :
( ~ pred_attacker(tuple_T_out_4(X39))
| pred_attacker(X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])]) ).
cnf(c_0_17,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_18,negated_conjecture,
~ pred_attacker(name_objective),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
cnf(c_0_19,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_T_out_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
pred_attacker(tuple_T_out_4(name_objective)),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
~ pred_attacker(name_objective),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW951+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n004.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 : Sun Aug 27 21:01:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.008000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.011000 s
%------------------------------------------------------------------------------