TSTP Solution File: SYN626-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN626-1 : 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 01:53:32 EDT 2023
% Result : Unsatisfiable 0.18s 0.61s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 31
% Syntax : Number of formulae : 45 ( 10 unt; 23 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 18 >; 14 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p11: ( $i * $i ) > $o ).
tff(decl_23,type,
p7: ( $i * $i ) > $o ).
tff(decl_24,type,
p6: ( $i * $i ) > $o ).
tff(decl_25,type,
p3: ( $i * $i ) > $o ).
tff(decl_26,type,
p2: ( $i * $i ) > $o ).
tff(decl_27,type,
f12: $i > $i ).
tff(decl_28,type,
f13: $i > $i ).
tff(decl_29,type,
c20: $i ).
tff(decl_30,type,
f5: $i > $i ).
tff(decl_31,type,
f4: $i > $i ).
tff(decl_32,type,
c21: $i ).
tff(decl_33,type,
p14: ( $i * $i ) > $o ).
tff(decl_34,type,
p16: ( $i * $i ) > $o ).
tff(decl_35,type,
p15: ( $i * $i ) > $o ).
tff(decl_36,type,
c22: $i ).
tff(decl_37,type,
c23: $i ).
tff(decl_38,type,
c24: $i ).
tff(decl_39,type,
f9: ( $i * $i ) > $i ).
tff(decl_40,type,
f8: ( $i * $i ) > $i ).
tff(decl_41,type,
p19: ( $i * $i ) > $o ).
tff(decl_42,type,
p18: ( $i * $i ) > $o ).
tff(decl_43,type,
p17: ( $i * $i ) > $o ).
tff(decl_44,type,
f10: ( $i * $i ) > $i ).
cnf(p7_17,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_17) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p15_31,negated_conjecture,
( p15(X1,X2)
| ~ p6(X3,X1)
| ~ p7(X4,X2)
| ~ p15(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_31) ).
cnf(p6_3,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).
cnf(p7_15,negated_conjecture,
( p7(f12(f13(X1)),X1)
| ~ p16(c22,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_15) ).
cnf(not_p15_24,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_24) ).
cnf(p15_9,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_9) ).
cnf(p16_8,negated_conjecture,
( p16(X1,X2)
| ~ p15(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_8) ).
cnf(c_0_8,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_17 ).
cnf(c_0_9,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_10,negated_conjecture,
( p15(X1,X2)
| ~ p6(X3,X1)
| ~ p7(X4,X2)
| ~ p15(X3,X4) ),
p15_31 ).
cnf(c_0_11,negated_conjecture,
p6(X1,X1),
p6_3 ).
cnf(c_0_12,negated_conjecture,
( p7(X1,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( p7(f12(f13(X1)),X1)
| ~ p16(c22,X1) ),
p7_15 ).
cnf(c_0_14,negated_conjecture,
( p15(X1,X2)
| ~ p15(X1,X3)
| ~ p7(X3,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p7(X1,f12(f13(X1)))
| ~ p16(c22,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
not_p15_24 ).
cnf(c_0_17,negated_conjecture,
( p15(X1,f12(f13(X2)))
| ~ p15(X1,X2)
| ~ p16(c22,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
p15_9 ).
cnf(c_0_19,negated_conjecture,
~ p16(c22,f8(f5(c20),f9(c23,c24))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_20,negated_conjecture,
( p16(X1,X2)
| ~ p15(X1,X2) ),
p16_8 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN626-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.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 : Sat Aug 26 17:52:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.57 start to proof: theBenchmark
% 0.18/0.61 % Version : CSE_E---1.5
% 0.18/0.61 % Problem : theBenchmark.p
% 0.18/0.61 % Proof found
% 0.18/0.61 % SZS status Theorem for theBenchmark.p
% 0.18/0.61 % SZS output start Proof
% See solution above
% 0.18/0.61 % Total time : 0.033000 s
% 0.18/0.61 % SZS output end Proof
% 0.18/0.61 % Total time : 0.036000 s
%------------------------------------------------------------------------------