TSTP Solution File: SYN688-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN688-1 : 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 : n005.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 01:53:47 EDT 2023
% Result : Unsatisfiable 1.19s 1.34s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 57
% Syntax : Number of formulae : 80 ( 14 unt; 45 typ; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 41 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 28 >; 17 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 17 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c34: $i ).
tff(decl_23,type,
p27: $i > $o ).
tff(decl_24,type,
c43: $i ).
tff(decl_25,type,
c35: $i ).
tff(decl_26,type,
p23: $i > $o ).
tff(decl_27,type,
p10: ( $i * $i ) > $o ).
tff(decl_28,type,
p9: ( $i * $i ) > $o ).
tff(decl_29,type,
p3: ( $i * $i ) > $o ).
tff(decl_30,type,
p21: ( $i * $i ) > $o ).
tff(decl_31,type,
p2: ( $i * $i ) > $o ).
tff(decl_32,type,
p18: ( $i * $i ) > $o ).
tff(decl_33,type,
p12: ( $i * $i ) > $o ).
tff(decl_34,type,
c41: $i ).
tff(decl_35,type,
c42: $i ).
tff(decl_36,type,
p22: ( $i * $i ) > $o ).
tff(decl_37,type,
c46: $i ).
tff(decl_38,type,
p24: ( $i * $i ) > $o ).
tff(decl_39,type,
c45: $i ).
tff(decl_40,type,
f17: $i > $i ).
tff(decl_41,type,
p26: ( $i * $i ) > $o ).
tff(decl_42,type,
p25: ( $i * $i ) > $o ).
tff(decl_43,type,
f19: $i > $i ).
tff(decl_44,type,
f20: $i > $i ).
tff(decl_45,type,
p28: ( $i * $i ) > $o ).
tff(decl_46,type,
c36: $i ).
tff(decl_47,type,
f16: ( $i * $i ) > $i ).
tff(decl_48,type,
f15: $i > $i ).
tff(decl_49,type,
c44: $i ).
tff(decl_50,type,
f4: $i > $i ).
tff(decl_51,type,
f11: $i > $i ).
tff(decl_52,type,
f5: $i > $i ).
tff(decl_53,type,
f6: $i > $i ).
tff(decl_54,type,
f7: $i > $i ).
tff(decl_55,type,
c30: $i ).
tff(decl_56,type,
c31: $i ).
tff(decl_57,type,
p29: ( $i * $i ) > $o ).
tff(decl_58,type,
f13: ( $i * $i ) > $i ).
tff(decl_59,type,
f14: ( $i * $i ) > $i ).
tff(decl_60,type,
f8: ( $i * $i ) > $i ).
tff(decl_61,type,
c32: $i ).
tff(decl_62,type,
c33: $i ).
tff(decl_63,type,
c39: $i ).
tff(decl_64,type,
c40: $i ).
tff(decl_65,type,
c37: $i ).
tff(decl_66,type,
c38: $i ).
cnf(p18_37,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X1)
| ~ p18(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_37) ).
cnf(p18_10,negated_conjecture,
p18(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
cnf(p28_44,negated_conjecture,
( p28(X1,X2)
| ~ p18(X3,X2)
| ~ p28(X4,X3)
| ~ p18(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_44) ).
cnf(p18_31,negated_conjecture,
( p18(f19(f17(X1)),f20(f19(X1)))
| ~ p27(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_31) ).
cnf(p18_25,negated_conjecture,
( p18(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_25) ).
cnf(p28_18,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_18) ).
cnf(c43_is_p27_2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43_is_p27_2) ).
cnf(p25_40,negated_conjecture,
( p25(X1,X2)
| ~ p27(X1)
| ~ p27(X2)
| ~ p28(f19(X1),f19(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_40) ).
cnf(not_p25_16,negated_conjecture,
~ p25(f17(c43),c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p25_16) ).
cnf(p10_5,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
cnf(c34_is_p27_1,negated_conjecture,
p27(c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c34_is_p27_1) ).
cnf(p27_17,negated_conjecture,
( p27(f17(X1))
| ~ p27(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
cnf(c_0_12,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X1)
| ~ p18(X3,X2) ),
p18_37 ).
cnf(c_0_13,negated_conjecture,
p18(X1,X1),
p18_10 ).
cnf(c_0_14,negated_conjecture,
( p28(X1,X2)
| ~ p18(X3,X2)
| ~ p28(X4,X3)
| ~ p18(X4,X1) ),
p28_44 ).
cnf(c_0_15,negated_conjecture,
( p18(X1,X2)
| ~ p18(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p18(f19(f17(X1)),f20(f19(X1)))
| ~ p27(X1) ),
p18_31 ).
cnf(c_0_17,negated_conjecture,
( p28(X1,X2)
| ~ p28(X1,X3)
| ~ p18(X3,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( p18(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
p18_25 ).
cnf(c_0_19,negated_conjecture,
( p18(f20(f19(X1)),f19(f17(X1)))
| ~ p27(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p28(X1,f19(X2))
| ~ p28(X1,f19(X3))
| ~ p10(X3,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
p28_18 ).
cnf(c_0_22,negated_conjecture,
( p28(f19(f17(X1)),X2)
| ~ p28(f20(f19(X1)),X3)
| ~ p18(X3,X2)
| ~ p27(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( p28(f20(f19(c43)),f19(X1))
| ~ p10(c34,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
p27(c43),
c43_is_p27_2 ).
cnf(c_0_25,negated_conjecture,
( p28(f19(f17(c43)),X1)
| ~ p18(f19(X2),X1)
| ~ p10(c34,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_26,negated_conjecture,
( p25(X1,X2)
| ~ p27(X1)
| ~ p27(X2)
| ~ p28(f19(X1),f19(X2)) ),
p25_40 ).
cnf(c_0_27,negated_conjecture,
( p28(f19(f17(c43)),f19(X1))
| ~ p10(c34,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_28,negated_conjecture,
~ p25(f17(c43),c34),
not_p25_16 ).
cnf(c_0_29,negated_conjecture,
( p25(f17(c43),X1)
| ~ p10(c34,X1)
| ~ p27(f17(c43))
| ~ p27(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
p10(X1,X1),
p10_5 ).
cnf(c_0_31,negated_conjecture,
p27(c34),
c34_is_p27_1 ).
cnf(c_0_32,negated_conjecture,
~ p27(f17(c43)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_33,negated_conjecture,
( p27(f17(X1))
| ~ p27(X1) ),
p27_17 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN688-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n005.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 17:03:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 1.19/1.34 % Version : CSE_E---1.5
% 1.19/1.34 % Problem : theBenchmark.p
% 1.19/1.34 % Proof found
% 1.19/1.34 % SZS status Theorem for theBenchmark.p
% 1.19/1.34 % SZS output start Proof
% See solution above
% 1.19/1.35 % Total time : 0.769000 s
% 1.19/1.35 % SZS output end Proof
% 1.19/1.35 % Total time : 0.773000 s
%------------------------------------------------------------------------------