TSTP Solution File: SYN643-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN643-1 : 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 : n029.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 01:53:36 EDT 2023
% Result : Unsatisfiable 0.66s 0.86s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 28
% Syntax : Number of formulae : 42 ( 13 unt; 19 typ; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 16 >; 11 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c19: $i ).
tff(decl_23,type,
f3: $i > $i ).
tff(decl_24,type,
p15: $i > $o ).
tff(decl_25,type,
c18: $i ).
tff(decl_26,type,
p11: ( $i * $i ) > $o ).
tff(decl_27,type,
p6: ( $i * $i ) > $o ).
tff(decl_28,type,
p4: ( $i * $i ) > $o ).
tff(decl_29,type,
p2: ( $i * $i ) > $o ).
tff(decl_30,type,
p16: ( $i * $i ) > $o ).
tff(decl_31,type,
p12: ( $i * $i ) > $o ).
tff(decl_32,type,
f8: $i > $i ).
tff(decl_33,type,
f5: $i > $i ).
tff(decl_34,type,
f7: $i > $i ).
tff(decl_35,type,
f13: $i > $i ).
tff(decl_36,type,
f10: ( $i * $i ) > $i ).
tff(decl_37,type,
f9: ( $i * $i ) > $i ).
tff(decl_38,type,
c20: $i ).
tff(decl_39,type,
p17: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
f14: ( $i * $i ) > $i ).
cnf(p4_24,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_24) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(p4_35,negated_conjecture,
( p4(f9(X1,X2),f9(X3,X4))
| ~ p4(X2,X4)
| ~ p4(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_35) ).
cnf(p4_37,negated_conjecture,
( p4(f5(f10(X1,X2)),f9(f5(X1),f5(X2)))
| ~ p15(X1)
| ~ p15(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_37) ).
cnf(not_p4_28,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_28) ).
cnf(p4_10,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_10) ).
cnf(p4_11,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_11) ).
cnf(f3_is_p15_2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_2) ).
cnf(f3_is_p15_1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_1) ).
cnf(c_0_9,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_24 ).
cnf(c_0_10,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_11,negated_conjecture,
( p4(f9(X1,X2),f9(X3,X4))
| ~ p4(X2,X4)
| ~ p4(X1,X3) ),
p4_35 ).
cnf(c_0_12,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( p4(f5(f10(X1,X2)),f9(f5(X1),f5(X2)))
| ~ p15(X1)
| ~ p15(X2) ),
p4_37 ).
cnf(c_0_14,negated_conjecture,
( p4(X1,f9(X2,X3))
| ~ p4(f9(X4,X5),X1)
| ~ p4(X5,X3)
| ~ p4(X4,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p4(f9(f5(X1),f5(X2)),f5(f10(X1,X2)))
| ~ p15(X2)
| ~ p15(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
not_p4_28 ).
cnf(c_0_17,negated_conjecture,
( p4(f5(f10(X1,X2)),f9(X3,X4))
| ~ p4(f5(X2),X4)
| ~ p4(f5(X1),X3)
| ~ p15(X2)
| ~ p15(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
p4_10 ).
cnf(c_0_19,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
p4_11 ).
cnf(c_0_20,negated_conjecture,
p15(f3(c18)),
f3_is_p15_2 ).
cnf(c_0_21,negated_conjecture,
p15(f3(c19)),
f3_is_p15_1 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN643-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 20:29:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.66/0.86 % Version : CSE_E---1.5
% 0.66/0.86 % Problem : theBenchmark.p
% 0.66/0.86 % Proof found
% 0.66/0.86 % SZS status Theorem for theBenchmark.p
% 0.66/0.86 % SZS output start Proof
% See solution above
% 0.66/0.86 % Total time : 0.223000 s
% 0.66/0.86 % SZS output end Proof
% 0.66/0.86 % Total time : 0.226000 s
%------------------------------------------------------------------------------