TSTP Solution File: SYN328-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN328-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 01:51:08 EDT 2023
% Result : Unsatisfiable 0.18s 0.57s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 4 unt; 5 typ; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 73 ( 36 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 28 ( 3 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
y: $i > $i ).
tff(decl_23,type,
f: $i > $o ).
tff(decl_24,type,
g: $i > $o ).
tff(decl_25,type,
h: $i > $o ).
tff(decl_26,type,
z: $i > $i ).
cnf(clause3,negated_conjecture,
( f(X1)
| ~ g(y(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(clause9,negated_conjecture,
( g(y(X1))
| h(X1)
| ~ f(y(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
cnf(clause2,negated_conjecture,
( f(y(X1))
| f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(clause4,negated_conjecture,
( h(y(X1))
| ~ f(y(X1))
| ~ g(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(clause1,negated_conjecture,
( g(y(X1))
| ~ f(y(X1))
| ~ f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause10,negated_conjecture,
( h(X1)
| ~ h(y(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(clause6,negated_conjecture,
( g(X1)
| ~ h(y(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(clause8,negated_conjecture,
( h(y(X1))
| ~ g(y(X1))
| ~ h(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(clause11,negated_conjecture,
( ~ f(z(X1))
| ~ g(z(X1))
| ~ h(z(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
cnf(c_0_9,negated_conjecture,
( f(X1)
| ~ g(y(X1)) ),
clause3 ).
cnf(c_0_10,negated_conjecture,
( g(y(X1))
| h(X1)
| ~ f(y(X1)) ),
clause9 ).
cnf(c_0_11,negated_conjecture,
( f(y(X1))
| f(X1) ),
clause2 ).
cnf(c_0_12,negated_conjecture,
( h(y(X1))
| ~ f(y(X1))
| ~ g(X1) ),
clause4 ).
cnf(c_0_13,negated_conjecture,
( g(y(X1))
| ~ f(y(X1))
| ~ f(X1) ),
clause1 ).
cnf(c_0_14,negated_conjecture,
( h(X1)
| f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( h(X1)
| ~ h(y(X1)) ),
clause10 ).
cnf(c_0_16,negated_conjecture,
( h(y(y(X1)))
| ~ f(y(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( g(X1)
| ~ h(y(X1)) ),
clause6 ).
cnf(c_0_18,negated_conjecture,
( h(y(X1))
| ~ g(y(X1))
| ~ h(X1) ),
clause8 ).
cnf(c_0_19,negated_conjecture,
( ~ f(z(X1))
| ~ g(z(X1))
| ~ h(z(X1)) ),
clause11 ).
cnf(c_0_20,negated_conjecture,
( h(y(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( f(X1)
| ~ h(y(y(X1))) ),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( h(y(X1))
| ~ h(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_14]) ).
cnf(c_0_23,negated_conjecture,
( ~ h(y(z(X1)))
| ~ f(z(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_15]) ).
cnf(c_0_24,negated_conjecture,
h(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_14]) ).
cnf(c_0_25,negated_conjecture,
( f(X1)
| ~ h(y(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_11]) ).
cnf(c_0_26,negated_conjecture,
~ f(z(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
f(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_24])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN328-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 19:36:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 0.18/0.57 % Version : CSE_E---1.5
% 0.18/0.57 % Problem : theBenchmark.p
% 0.18/0.57 % Proof found
% 0.18/0.57 % SZS status Theorem for theBenchmark.p
% 0.18/0.57 % SZS output start Proof
% See solution above
% 0.18/0.57 % Total time : 0.005000 s
% 0.18/0.57 % SZS output end Proof
% 0.18/0.57 % Total time : 0.007000 s
%------------------------------------------------------------------------------