TSTP Solution File: SYO611-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYO611-1 : 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 : 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 : Fri Sep 1 04:12:04 EDT 2023
% Result : Unsatisfiable 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 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 : 10 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
le: ( $i * $i ) > $o ).
tff(decl_23,type,
max: ( $i * $i ) > $i ).
tff(decl_24,type,
f: $i > $i ).
tff(decl_25,type,
a0: $i ).
tff(decl_26,type,
eq: ( $i * $i ) > $o ).
tff(decl_27,type,
s: $i > $i ).
cnf(sos_05,axiom,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ le(s(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
cnf(sos_04,axiom,
eq(f(X1),a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(sos_01,axiom,
le(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
cnf(c_0_3,axiom,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ le(s(X1),X2) ),
sos_05 ).
cnf(c_0_4,axiom,
eq(f(X1),a0),
sos_04 ).
cnf(c_0_5,plain,
~ le(s(X1),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4])]) ).
cnf(c_0_6,axiom,
le(X1,X1),
sos_01 ).
cnf(c_0_7,plain,
$false,
inference(spm,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO611-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n019.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 05:51:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.003000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.006000 s
%------------------------------------------------------------------------------