TSTP Solution File: SYN013-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 01:48:37 EDT 2023
% Result : Unsatisfiable 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 52 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 129 ( 70 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 128 ( 45 ~; 83 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 31 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
m: $i ).
tff(decl_23,type,
n: $i ).
tff(decl_24,type,
k: $i ).
tff(decl_25,type,
element: ( $i * $i ) > $o ).
tff(decl_26,type,
f: $i > $i ).
tff(decl_27,type,
g: $i > $i ).
cnf(c_16,negated_conjecture,
( X1 = k
| X1 = m
| X1 = n
| ~ element(X1,k) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).
cnf(c_7,negated_conjecture,
( X1 = m
| element(f(X1),X1)
| ~ element(X1,m) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_7) ).
cnf(c_3,negated_conjecture,
k != m,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_3) ).
cnf(c_12,negated_conjecture,
( X1 = n
| element(X1,n)
| element(g(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_12) ).
cnf(c_2,negated_conjecture,
n != k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_2) ).
cnf(c_15,negated_conjecture,
( X1 = k
| element(X1,k)
| X1 != n ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_15) ).
cnf(c_5,negated_conjecture,
( X1 = m
| ~ element(X1,m)
| f(X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_5) ).
cnf(c_10,negated_conjecture,
( X1 = n
| element(X1,n)
| g(X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_10) ).
cnf(c_8,negated_conjecture,
( X1 = m
| element(X1,m)
| X2 = m
| X2 = X1
| ~ element(X1,X2)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_8) ).
cnf(c_1,negated_conjecture,
m != n,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_1) ).
cnf(c_4,negated_conjecture,
( X1 = m
| ~ element(X1,m)
| f(X1) != m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_4) ).
cnf(c_11,negated_conjecture,
( X1 = n
| element(X1,n)
| element(X1,g(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_11) ).
cnf(c_6,negated_conjecture,
( X1 = m
| element(X1,f(X1))
| ~ element(X1,m) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_6) ).
cnf(c_9,negated_conjecture,
( X1 = n
| element(X1,n)
| g(X1) != n ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_9) ).
cnf(c_13,negated_conjecture,
( X1 = n
| X2 = n
| X2 = X1
| ~ element(X1,n)
| ~ element(X1,X2)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_13) ).
cnf(c_14,negated_conjecture,
( X1 = k
| element(X1,k)
| X1 != m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_14) ).
cnf(c_0_16,negated_conjecture,
( X1 = k
| X1 = m
| X1 = n
| ~ element(X1,k) ),
c_16 ).
cnf(c_0_17,negated_conjecture,
( X1 = m
| element(f(X1),X1)
| ~ element(X1,m) ),
c_7 ).
cnf(c_0_18,negated_conjecture,
k != m,
c_3 ).
cnf(c_0_19,negated_conjecture,
( X1 = n
| element(X1,n)
| element(g(X1),X1) ),
c_12 ).
cnf(c_0_20,negated_conjecture,
n != k,
c_2 ).
cnf(c_0_21,negated_conjecture,
( X1 = k
| element(X1,k)
| X1 != n ),
c_15 ).
cnf(c_0_22,negated_conjecture,
( X1 = m
| ~ element(X1,m)
| f(X1) != X1 ),
c_5 ).
cnf(c_0_23,negated_conjecture,
( f(k) = k
| f(k) = n
| f(k) = m
| ~ element(k,m) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( X1 = n
| element(X1,n)
| g(X1) != X1 ),
c_10 ).
cnf(c_0_25,negated_conjecture,
( g(k) = k
| g(k) = n
| g(k) = m
| element(k,n) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( X1 = m
| element(X1,m)
| X2 = m
| X2 = X1
| ~ element(X1,X2)
| ~ element(X2,X1) ),
c_8 ).
cnf(c_0_27,negated_conjecture,
element(n,k),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_21]),c_0_20]) ).
cnf(c_0_28,negated_conjecture,
m != n,
c_1 ).
cnf(c_0_29,negated_conjecture,
( X1 = m
| ~ element(X1,m)
| f(X1) != m ),
c_4 ).
cnf(c_0_30,negated_conjecture,
( f(k) = m
| f(k) = n
| ~ element(k,m) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( X1 = n
| element(X1,n)
| element(X1,g(X1)) ),
c_11 ).
cnf(c_0_32,negated_conjecture,
( g(k) = m
| g(k) = n
| element(k,n) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20]) ).
cnf(c_0_33,negated_conjecture,
( element(k,m)
| ~ element(k,n) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_18]),c_0_20]) ).
cnf(c_0_34,negated_conjecture,
( X1 = m
| element(X1,f(X1))
| ~ element(X1,m) ),
c_6 ).
cnf(c_0_35,negated_conjecture,
( f(k) = n
| ~ element(k,m) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_18]) ).
cnf(c_0_36,negated_conjecture,
( X1 = n
| element(X1,n)
| g(X1) != n ),
c_9 ).
cnf(c_0_37,negated_conjecture,
( g(k) = n
| element(k,m) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20]),c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( element(k,n)
| ~ element(k,m) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_18]) ).
cnf(c_0_39,negated_conjecture,
( X1 = n
| X2 = n
| X2 = X1
| ~ element(X1,n)
| ~ element(X1,X2)
| ~ element(X2,X1) ),
c_13 ).
cnf(c_0_40,negated_conjecture,
element(k,n),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_20]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( X1 = k
| element(X1,k)
| X1 != m ),
c_14 ).
cnf(c_0_42,negated_conjecture,
( k = X1
| X1 = n
| ~ element(X1,k)
| ~ element(k,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_20]) ).
cnf(c_0_43,negated_conjecture,
element(m,k),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_18]) ).
cnf(c_0_44,negated_conjecture,
element(k,m),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_40])]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),c_0_18]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.07 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.06/0.26 % Computer : n031.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sat Aug 26 18:34:23 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.10/0.41 start to proof: theBenchmark
% 0.10/0.43 % Version : CSE_E---1.5
% 0.10/0.43 % Problem : theBenchmark.p
% 0.10/0.43 % Proof found
% 0.10/0.43 % SZS status Theorem for theBenchmark.p
% 0.10/0.43 % SZS output start Proof
% See solution above
% 0.10/0.43 % Total time : 0.006000 s
% 0.10/0.43 % SZS output end Proof
% 0.10/0.43 % Total time : 0.009000 s
%------------------------------------------------------------------------------