TSTP Solution File: LCL897-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 07:00:07 EDT 2023
% Result : Unsatisfiable 191.49s 191.60s
% Output : CNFRefutation 191.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 40 unt; 6 typ; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
'+': ( $i * $i ) > $i ).
tff(decl_23,type,
'0': $i ).
tff(decl_24,type,
' = =>': ( $i * $i ) > $i ).
tff(decl_25,type,
a: $i ).
tff(decl_26,type,
b: $i ).
tff(decl_27,type,
c: $i ).
cnf(sos_07,axiom,
' = =>'('+'(X1,X2),X3) = ' = =>'(X1,' = =>'(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
cnf(sos_02,axiom,
'+'(X1,X2) = '+'(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(sos_04,axiom,
' = =>'(X1,X1) = '0',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
cnf(sos_05,axiom,
' = =>'(X1,'0') = '0',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
cnf(sos_08,axiom,
'+'(X1,' = =>'(X1,X2)) = '+'(X2,' = =>'(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
cnf(sos_01,axiom,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
cnf(sos_03,axiom,
'+'(X1,'0') = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
cnf(goals_09,negated_conjecture,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_09) ).
cnf(c_0_8,axiom,
' = =>'('+'(X1,X2),X3) = ' = =>'(X1,' = =>'(X2,X3)),
sos_07 ).
cnf(c_0_9,axiom,
'+'(X1,X2) = '+'(X2,X1),
sos_02 ).
cnf(c_0_10,plain,
' = =>'(X1,' = =>'(X2,X3)) = ' = =>'(X2,' = =>'(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_8]) ).
cnf(c_0_11,axiom,
' = =>'(X1,X1) = '0',
sos_04 ).
cnf(c_0_12,axiom,
' = =>'(X1,'0') = '0',
sos_05 ).
cnf(c_0_13,axiom,
'+'(X1,' = =>'(X1,X2)) = '+'(X2,' = =>'(X2,X1)),
sos_08 ).
cnf(c_0_14,axiom,
'+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
sos_01 ).
cnf(c_0_15,plain,
' = =>'(X1,' = =>'(X2,X1)) = '0',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,plain,
'+'(X1,'+'(X2,' = =>'(X1,' = =>'(X2,X3)))) = '+'(X3,' = =>'(X3,'+'(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_8]) ).
cnf(c_0_17,plain,
' = =>'(X1,' = =>'(X2,' = =>'(X3,X1))) = '0',
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_12]) ).
cnf(c_0_18,plain,
' = =>'(X1,' = =>'(X2,' = =>'(' = =>'(X1,' = =>'(X2,X3)),X4))) = ' = =>'(X3,' = =>'(' = =>'(X3,'+'(X1,X2)),X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_8]),c_0_8]) ).
cnf(c_0_19,plain,
'+'(X1,' = =>'(X2,' = =>'(X1,X3))) = '+'(' = =>'(X2,X3),' = =>'(' = =>'(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_20,plain,
' = =>'(X1,' = =>'(' = =>'(X1,'+'(X2,X3)),X2)) = '0',
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,axiom,
'+'(X1,'0') = X1,
sos_03 ).
cnf(c_0_22,plain,
' = =>'(X1,' = =>'(X2,'+'(X1,X2))) = '0',
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_23,plain,
'+'(' = =>'(X1,X2),' = =>'(X1,' = =>'(' = =>'(X1,X2),'+'(X2,X3)))) = ' = =>'(X1,'+'(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_10]) ).
cnf(c_0_24,plain,
' = =>'(X1,' = =>'(' = =>'(X1,X2),'+'(X2,' = =>'(X2,X1)))) = '0',
inference(spm,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_25,plain,
' = =>'(X1,'+'(X2,' = =>'(X2,X1))) = ' = =>'(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]) ).
cnf(c_0_26,plain,
' = =>'(X1,'+'(X1,' = =>'(X1,X2))) = ' = =>'(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_27,plain,
' = =>'(X1,' = =>'(' = =>'(X1,X2),X3)) = ' = =>'(X2,' = =>'(' = =>'(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_8]) ).
cnf(c_0_28,plain,
' = =>'(X1,' = =>'(X2,'+'(X1,' = =>'(X1,X3)))) = ' = =>'(X2,' = =>'(X1,X3)),
inference(spm,[status(thm)],[c_0_10,c_0_26]) ).
cnf(c_0_29,plain,
'+'(X1,'+'(' = =>'(X1,X2),X3)) = '+'(X2,'+'(' = =>'(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_14]) ).
cnf(c_0_30,plain,
' = =>'(X1,' = =>'(' = =>'(X1,X2),'+'(X2,' = =>'(X2,X3)))) = ' = =>'(X2,' = =>'(' = =>'(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_10]) ).
cnf(c_0_31,negated_conjecture,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
goals_09 ).
cnf(c_0_32,plain,
'+'(X1,'+'(' = =>'(X1,X2),' = =>'(X2,' = =>'(' = =>'(X2,X1),X3)))) = '+'(X3,' = =>'(X3,'+'(X2,' = =>'(X2,X1)))),
inference(spm,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_33,plain,
'+'(' = =>'(X1,X2),' = =>'(X2,' = =>'(' = =>'(X2,X1),X3))) = ' = =>'(X1,'+'(X2,' = =>'(X2,X3))),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
'+'(c,' = =>'(c,'+'(a,' = =>'(a,b)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(rw,[status(thm)],[c_0_31,c_0_13]) ).
cnf(c_0_35,plain,
'+'(X1,' = =>'(X1,'+'(X2,' = =>'(X2,X3)))) = '+'(X3,' = =>'(X3,'+'(X2,' = =>'(X2,X1)))),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
'+'(X1,'+'(' = =>'(X1,X2),' = =>'(X2,' = =>'(' = =>'(X2,X1),X3)))) = '+'(X3,' = =>'(X3,'+'(X1,' = =>'(X1,X2)))),
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_37,negated_conjecture,
'+'(b,' = =>'(b,'+'(a,' = =>'(a,c)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
'+'(X1,' = =>'(X1,'+'(X2,' = =>'(X2,X3)))) = '+'(X3,' = =>'(X3,'+'(X1,' = =>'(X1,X2)))),
inference(rw,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.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 : Fri Aug 25 05:56:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 191.49/191.60 % Version : CSE_E---1.5
% 191.49/191.60 % Problem : theBenchmark.p
% 191.49/191.60 % Proof found
% 191.49/191.60 % SZS status Theorem for theBenchmark.p
% 191.49/191.60 % SZS output start Proof
% See solution above
% 191.49/191.61 % Total time : 190.930000 s
% 191.49/191.61 % SZS output end Proof
% 191.49/191.61 % Total time : 190.941000 s
%------------------------------------------------------------------------------