TSTP Solution File: SYO634-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 04:12:20 EDT 2023
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 45 ( 13 unt; 6 typ; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 290 ( 149 ~; 141 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 171 ( 163 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
f: $i > $i ).
tff(decl_23,type,
'0': $i ).
tff(decl_24,type,
s: $i > $i ).
tff(decl_25,type,
'E': ( $i * $i ) > $o ).
tff(decl_26,type,
'AP': ( $i * $i ) > $i ).
tff(decl_27,type,
'LEQ': ( $i * $i ) > $o ).
cnf(clause_21_01,axiom,
( 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21_01) ).
cnf(clause_17_09,axiom,
'E'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17_09) ).
cnf(clause_11_03,axiom,
'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_03) ).
cnf(clause_12_14,axiom,
( 'E'(f(X2),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s('0'))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_14) ).
cnf(clause_1_06,axiom,
( 'E'(f(X2),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X4),s(s(s(s(s(s(s('0')))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_06) ).
cnf(clause_15_20,axiom,
( 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X4),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X5),s(s(s(s(s(s('0'))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15_20) ).
cnf(clause_3_17,axiom,
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X4),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X9),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X10),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X11),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_17) ).
cnf(clause_10_22,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X11)),'0')
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X4),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X9),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X10),s(s(s(s(s(s('0'))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_22) ).
cnf(clause_8_11,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s(s(s(s('0')))))
| ~ 'E'(f(X5),s(s('0')))
| ~ 'E'(f(X6),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X7),s(s(s('0'))))
| ~ 'E'(f(X8),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0'))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_11) ).
cnf(clause_9_12,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X7)),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X5),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X6),s(s(s(s(s(s('0'))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9_12) ).
cnf(clause_18_15,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X8)),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s(s(s(s('0')))))
| ~ 'E'(f(X5),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X6),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X7),s(s(s(s(s(s('0'))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18_15) ).
cnf(clause_0_19,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X9)),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s(s(s(s('0')))))
| ~ 'E'(f(X5),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X6),s(s(s('0'))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X8),s(s(s(s(s(s('0'))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_19) ).
cnf(c_0_12,axiom,
( 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
clause_21_01 ).
cnf(c_0_13,axiom,
'E'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))),
clause_17_09 ).
cnf(c_0_14,axiom,
'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
clause_11_03 ).
cnf(c_0_15,axiom,
( 'E'(f(X2),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s('0'))))))))) ),
clause_12_14 ).
cnf(c_0_16,plain,
'E'(f(X1),s(s(s(s(s(s(s(s('0'))))))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,axiom,
( 'E'(f(X2),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X4),s(s(s(s(s(s(s('0')))))))) ),
clause_1_06 ).
cnf(c_0_18,plain,
'E'(f(X1),s(s(s(s(s(s(s('0')))))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_13]),c_0_14])]) ).
cnf(c_0_19,axiom,
( 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X4),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X5),s(s(s(s(s(s('0'))))))) ),
clause_15_20 ).
cnf(c_0_20,plain,
'E'(f(X1),s(s(s(s(s(s('0'))))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_16]),c_0_13]),c_0_14])]) ).
cnf(c_0_21,axiom,
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X4),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X9),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X10),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X11),'0') ),
clause_3_17 ).
cnf(c_0_22,plain,
'E'(f(X1),s(s(s(s(s('0')))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_18]),c_0_16]),c_0_13]),c_0_14])]) ).
cnf(c_0_23,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X11)),'0')
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s('0'))
| ~ 'E'(f(X4),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X9),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X10),s(s(s(s(s(s('0'))))))) ),
clause_10_22 ).
cnf(c_0_24,plain,
( ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X5),'0') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_20]),c_0_18]),c_0_16]),c_0_13]),c_0_14])]) ).
cnf(c_0_25,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s(s(s(s('0')))))
| ~ 'E'(f(X5),s(s('0')))
| ~ 'E'(f(X6),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X7),s(s(s('0'))))
| ~ 'E'(f(X8),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0'))))))) ),
clause_8_11 ).
cnf(c_0_26,plain,
( ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X3),s(s('0')))
| ~ 'E'(f(X4),s('0')) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_22]),c_0_20]),c_0_18]),c_0_16]),c_0_13]),c_0_14])]),c_0_24]) ).
cnf(c_0_27,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X7)),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X5),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X6),s(s(s(s(s(s('0'))))))) ),
clause_9_12 ).
cnf(c_0_28,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X8)),s(s(s('0'))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s(s(s(s('0')))))
| ~ 'E'(f(X5),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X6),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X7),s(s(s(s(s(s('0'))))))) ),
clause_18_15 ).
cnf(c_0_29,plain,
( ~ 'E'(f(X1),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s('0'))))
| ~ 'E'(f(X3),s(s('0'))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_22]),c_0_20]),c_0_18]),c_0_16]),c_0_13]),c_0_14])]),c_0_26]) ).
cnf(c_0_30,plain,
'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X1)),s(s(s(s('0'))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_22]),c_0_20]),c_0_18]),c_0_16]),c_0_13]),c_0_14])]) ).
cnf(c_0_31,plain,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X1)),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s('0'))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_22]),c_0_20]),c_0_18]),c_0_16]),c_0_13]),c_0_14])]) ).
cnf(c_0_32,axiom,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X9)),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X2),s(s(s(s(s('0'))))))
| ~ 'E'(f(X3),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s(s(s(s('0')))))
| ~ 'E'(f(X5),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X6),s(s(s('0'))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X8),s(s(s(s(s(s('0'))))))) ),
clause_0_19 ).
cnf(c_0_33,plain,
( ~ 'E'(f(X1),s(s(s('0'))))
| ~ 'E'(f(X2),s(s('0'))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X1)),s(s(s('0')))),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_35,plain,
( 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X1)),s(s('0')))
| ~ 'E'(f(X2),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s('0')))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_22]),c_0_20]),c_0_18]),c_0_16]),c_0_13]),c_0_14])]) ).
cnf(c_0_36,plain,
~ 'E'(f(X1),s(s('0'))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
~ 'E'(f(X1),s(s(s('0')))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_30]),c_0_36]) ).
cnf(c_0_38,plain,
$false,
inference(sr,[status(thm)],[c_0_34,c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 06:01:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.60 start to proof: theBenchmark
% 0.19/0.62 % Version : CSE_E---1.5
% 0.19/0.62 % Problem : theBenchmark.p
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark.p
% 0.19/0.62 % SZS output start Proof
% See solution above
% 0.19/0.62 % Total time : 0.007000 s
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time : 0.011000 s
%------------------------------------------------------------------------------