TSTP Solution File: SWV009-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 21:36:06 EDT 2023
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 17
% Syntax : Number of formulae : 30 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 27 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
less_or_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
less: ( $i * $i ) > $o ).
tff(decl_24,type,
j: $i ).
tff(decl_25,type,
i: $i ).
tff(decl_26,type,
m: $i ).
tff(decl_27,type,
p: $i ).
tff(decl_28,type,
q: $i ).
tff(decl_29,type,
n: $i ).
tff(decl_30,type,
a: $i > $i ).
cnf(clause_9,negated_conjecture,
~ less_or_equal(a(p),a(q)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_6,negated_conjecture,
( less_or_equal(a(X1),a(X2))
| ~ less_or_equal(m,X1)
| ~ less(X1,i)
| ~ less(j,X2)
| ~ less_or_equal(X2,n) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_5,negated_conjecture,
less_or_equal(q,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_3,negated_conjecture,
less_or_equal(m,p),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_7,negated_conjecture,
( less_or_equal(a(X1),a(X2))
| ~ less_or_equal(m,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,j) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_4,negated_conjecture,
less_or_equal(p,q),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_1,negated_conjecture,
( less_or_equal(X1,X2)
| less(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_8,negated_conjecture,
( less_or_equal(a(X1),a(X2))
| ~ less_or_equal(i,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,n) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(c_0_8,negated_conjecture,
~ less_or_equal(a(p),a(q)),
clause_9 ).
cnf(c_0_9,negated_conjecture,
( less_or_equal(a(X1),a(X2))
| ~ less_or_equal(m,X1)
| ~ less(X1,i)
| ~ less(j,X2)
| ~ less_or_equal(X2,n) ),
clause_6 ).
cnf(c_0_10,negated_conjecture,
less_or_equal(q,n),
clause_5 ).
cnf(c_0_11,negated_conjecture,
less_or_equal(m,p),
clause_3 ).
cnf(c_0_12,negated_conjecture,
( less_or_equal(a(X1),a(X2))
| ~ less_or_equal(m,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,j) ),
clause_7 ).
cnf(c_0_13,negated_conjecture,
less_or_equal(p,q),
clause_4 ).
cnf(c_0_14,negated_conjecture,
( ~ less(p,i)
| ~ less(j,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_15,negated_conjecture,
( less_or_equal(X1,X2)
| less(X2,X1) ),
clause_1 ).
cnf(c_0_16,negated_conjecture,
~ less_or_equal(q,j),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_12]),c_0_11]),c_0_13])]) ).
cnf(c_0_17,negated_conjecture,
( less_or_equal(a(X1),a(X2))
| ~ less_or_equal(i,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,n) ),
clause_8 ).
cnf(c_0_18,negated_conjecture,
~ less(p,i),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
~ less_or_equal(i,p),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_17]),c_0_10]),c_0_13])]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.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 : Tue Aug 29 09:32:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.004000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.006000 s
%------------------------------------------------------------------------------