TSTP Solution File: SYN642-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN642-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 01:53:35 EDT 2023
% Result : Unsatisfiable 0.11s 0.66s
% Output : CNFRefutation 0.11s
% 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(p6_23,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_23) ).
cnf(p6_4,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
cnf(p6_33,negated_conjecture,
( p6(f9(X1,X2),f9(X3,X4))
| ~ p6(X2,X4)
| ~ p6(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_33) ).
cnf(p6_36,negated_conjecture,
( p6(f8(f10(X1,X2)),f9(f8(X1),f8(X2)))
| ~ p15(X1)
| ~ p15(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_36) ).
cnf(not_p6_28,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_28) ).
cnf(p6_14,negated_conjecture,
p6(f8(f3(c18)),f8(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
cnf(p6_9,negated_conjecture,
p6(f8(f3(c19)),f8(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
cnf(f3_is_p15_2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_2) ).
cnf(f3_is_p15_1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_1) ).
cnf(c_0_9,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
p6_23 ).
cnf(c_0_10,negated_conjecture,
p6(X1,X1),
p6_4 ).
cnf(c_0_11,negated_conjecture,
( p6(f9(X1,X2),f9(X3,X4))
| ~ p6(X2,X4)
| ~ p6(X1,X3) ),
p6_33 ).
cnf(c_0_12,negated_conjecture,
( p6(X1,X2)
| ~ p6(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( p6(f8(f10(X1,X2)),f9(f8(X1),f8(X2)))
| ~ p15(X1)
| ~ p15(X2) ),
p6_36 ).
cnf(c_0_14,negated_conjecture,
( p6(X1,f9(X2,X3))
| ~ p6(f9(X4,X5),X1)
| ~ p6(X5,X3)
| ~ p6(X4,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p6(f9(f8(X1),f8(X2)),f8(f10(X1,X2)))
| ~ p15(X2)
| ~ p15(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
not_p6_28 ).
cnf(c_0_17,negated_conjecture,
( p6(f8(f10(X1,X2)),f9(X3,X4))
| ~ p6(f8(X2),X4)
| ~ p6(f8(X1),X3)
| ~ p15(X2)
| ~ p15(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p6(f8(f3(c18)),f8(c18)),
p6_14 ).
cnf(c_0_19,negated_conjecture,
p6(f8(f3(c19)),f8(c19)),
p6_9 ).
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
% 0.06/0.06 % Problem : SYN642-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.07 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.06/0.25 % Computer : n017.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Sat Aug 26 18:42:56 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.11/0.48 start to proof: theBenchmark
% 0.11/0.66 % Version : CSE_E---1.5
% 0.11/0.66 % Problem : theBenchmark.p
% 0.11/0.66 % Proof found
% 0.11/0.66 % SZS status Theorem for theBenchmark.p
% 0.11/0.66 % SZS output start Proof
% See solution above
% 0.11/0.66 % Total time : 0.163000 s
% 0.11/0.66 % SZS output end Proof
% 0.11/0.66 % Total time : 0.167000 s
%------------------------------------------------------------------------------