TSTP Solution File: SYN009-4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN009-4 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 01:48:36 EDT 2023
% Result : Unsatisfiable 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 26 ( 6 unt; 9 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 6 >; 10 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 33 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
m: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
q: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
r: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
a: $i ).
tff(decl_27,type,
s: $i > $o ).
tff(decl_28,type,
b: $i ).
tff(decl_29,type,
c: $i ).
tff(decl_30,type,
n: ( $i * $i * $i ) > $o ).
cnf(clause_3,negated_conjecture,
( ~ r(X1,X2,X3)
| ~ m(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_8,negated_conjecture,
( p(X1,X2,X3)
| q(X1,X2,X3)
| r(X1,X2,X3)
| ~ s(X1)
| ~ s(X2)
| ~ s(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_1,negated_conjecture,
( ~ p(X1,X2,X3)
| ~ m(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,negated_conjecture,
( ~ q(X1,X2,X3)
| ~ m(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_7,negated_conjecture,
~ n(c,c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_9,negated_conjecture,
( m(X1,X2,X3)
| n(X1,X2,X3)
| ~ s(X1)
| ~ s(X2)
| ~ s(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_6,negated_conjecture,
s(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(c_0_7,negated_conjecture,
( ~ r(X1,X2,X3)
| ~ m(X1,X2,X3) ),
clause_3 ).
cnf(c_0_8,negated_conjecture,
( p(X1,X2,X3)
| q(X1,X2,X3)
| r(X1,X2,X3)
| ~ s(X1)
| ~ s(X2)
| ~ s(X3) ),
clause_8 ).
cnf(c_0_9,negated_conjecture,
( ~ p(X1,X2,X3)
| ~ m(X1,X2,X3) ),
clause_1 ).
cnf(c_0_10,negated_conjecture,
( ~ q(X1,X2,X3)
| ~ m(X1,X2,X3) ),
clause_2 ).
cnf(c_0_11,negated_conjecture,
~ n(c,c,c),
clause_7 ).
cnf(c_0_12,negated_conjecture,
( m(X1,X2,X3)
| n(X1,X2,X3)
| ~ s(X1)
| ~ s(X2)
| ~ s(X3) ),
clause_9 ).
cnf(c_0_13,negated_conjecture,
s(c),
clause_6 ).
cnf(c_0_14,negated_conjecture,
( ~ s(X1)
| ~ s(X2)
| ~ s(X3)
| ~ m(X3,X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]) ).
cnf(c_0_15,negated_conjecture,
m(c,c,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN009-4 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 21:18:11 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.004000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.007000 s
%------------------------------------------------------------------------------