TSTP Solution File: LCL431-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL431-2 : 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 : n019.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 06:54:00 EDT 2023
% Result : Unsatisfiable 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 20 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 7 >; 9 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_emptyset: $i ).
tff(decl_23,type,
v_p: $i ).
tff(decl_24,type,
t_a: $i ).
tff(decl_25,type,
c_PropLog_Osat: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
c_PropLog_Othms: ( $i * $i ) > $i ).
tff(decl_27,type,
tc_PropLog_Opl: $i > $i ).
tff(decl_28,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
c_PropLog_Ohyps: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
tc_set: $i > $i ).
tff(decl_31,type,
c_minus: ( $i * $i * $i ) > $i ).
cnf(cls_PropLog_Ocompleteness__0__lemma__dest_0,axiom,
( c_in(X1,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X1,X3,X2),c_PropLog_Ohyps(X1,X4,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2))
| ~ c_PropLog_Osat(c_emptyset,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).
cnf(cls_Set_ODiff__cancel_0,axiom,
c_minus(X1,X1,tc_set(X2)) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_4,axiom,
( c_in(X1,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X1,X3,X2),c_PropLog_Ohyps(X1,X4,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2))
| ~ c_PropLog_Osat(c_emptyset,X1,X2) ),
cls_PropLog_Ocompleteness__0__lemma__dest_0 ).
cnf(c_0_5,axiom,
c_minus(X1,X1,tc_set(X2)) = c_emptyset,
cls_Set_ODiff__cancel_0 ).
cnf(c_0_6,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
cls_conjecture_1 ).
cnf(c_0_7,plain,
( c_in(X1,c_PropLog_Othms(c_emptyset,X2),tc_PropLog_Opl(X2))
| ~ c_PropLog_Osat(c_emptyset,X1,X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a),
cls_conjecture_0 ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL431-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.32 % Computer : n019.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Thu Aug 24 23:27:28 EDT 2023
% 0.15/0.32 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.56 % Version : CSE_E---1.5
% 0.19/0.56 % Problem : theBenchmark.p
% 0.19/0.56 % Proof found
% 0.19/0.56 % SZS status Theorem for theBenchmark.p
% 0.19/0.56 % SZS output start Proof
% See solution above
% 0.19/0.56 % Total time : 0.003000 s
% 0.19/0.56 % SZS output end Proof
% 0.19/0.56 % Total time : 0.005000 s
%------------------------------------------------------------------------------