TSTP Solution File: SYN673-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN673-1 : 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 : n001.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 01:53:43 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 56
% Syntax : Number of formulae : 80 ( 13 unt; 42 typ; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 42 ~; 39 |; 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 : 56 ( 28 >; 28 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p7: ( $i * $i ) > $o ).
tff(decl_25,type,
p6: ( $i * $i ) > $o ).
tff(decl_26,type,
p4: ( $i * $i ) > $o ).
tff(decl_27,type,
p3: ( $i * $i ) > $o ).
tff(decl_28,type,
p25: ( $i * $i ) > $o ).
tff(decl_29,type,
p23: ( $i * $i ) > $o ).
tff(decl_30,type,
p20: ( $i * $i ) > $o ).
tff(decl_31,type,
p2: ( $i * $i ) > $o ).
tff(decl_32,type,
p18: ( $i * $i ) > $o ).
tff(decl_33,type,
p16: ( $i * $i ) > $o ).
tff(decl_34,type,
p15: ( $i * $i ) > $o ).
tff(decl_35,type,
p13: ( $i * $i ) > $o ).
tff(decl_36,type,
p11: ( $i * $i ) > $o ).
tff(decl_37,type,
c35: $i ).
tff(decl_38,type,
f19: ( $i * $i ) > $i ).
tff(decl_39,type,
c41: $i ).
tff(decl_40,type,
f14: ( $i * $i ) > $i ).
tff(decl_41,type,
c33: $i ).
tff(decl_42,type,
c34: $i ).
tff(decl_43,type,
c30: $i ).
tff(decl_44,type,
f8: ( $i * $i ) > $i ).
tff(decl_45,type,
f5: ( $i * $i ) > $i ).
tff(decl_46,type,
c38: $i ).
tff(decl_47,type,
p29: ( $i * $i ) > $o ).
tff(decl_48,type,
c32: $i ).
tff(decl_49,type,
f12: ( $i * $i ) > $i ).
tff(decl_50,type,
p27: ( $i * $i ) > $o ).
tff(decl_51,type,
f21: ( $i * $i ) > $i ).
tff(decl_52,type,
c31: $i ).
tff(decl_53,type,
p28: ( $i * $i ) > $o ).
tff(decl_54,type,
c40: $i ).
tff(decl_55,type,
c37: $i ).
tff(decl_56,type,
c42: $i ).
tff(decl_57,type,
f24: ( $i * $i ) > $i ).
tff(decl_58,type,
c39: $i ).
tff(decl_59,type,
c36: $i ).
tff(decl_60,type,
f17: ( $i * $i ) > $i ).
tff(decl_61,type,
f26: ( $i * $i ) > $i ).
tff(decl_62,type,
f22: ( $i * $i ) > $i ).
tff(decl_63,type,
c43: $i ).
cnf(p10_22,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_22) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(p29_38,negated_conjecture,
( p29(X1,X2)
| ~ p29(X3,X4)
| ~ p4(X3,X1)
| ~ p10(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_38) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p10_41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_41) ).
cnf(p29_18,negated_conjecture,
( p29(X1,X2)
| ~ p27(f12(c32,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_18) ).
cnf(p27_55,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X1),f17(c36,X2))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_55) ).
cnf(not_p29_17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p29_17) ).
cnf(p27_19,negated_conjecture,
( p27(f12(c32,X1),X2)
| ~ p29(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_19) ).
cnf(p29_53,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X1)),c31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_53) ).
cnf(p28_37,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p29(f24(c42,X1),c39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_37) ).
cnf(p29_52,negated_conjecture,
( p29(f24(c42,f26(c43,X1)),c39)
| p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_52) ).
cnf(p28_20,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p16(X1,c40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_20) ).
cnf(p16_12,negated_conjecture,
p16(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_12) ).
cnf(c_0_14,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_22 ).
cnf(c_0_15,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_16,negated_conjecture,
( p29(X1,X2)
| ~ p29(X3,X4)
| ~ p4(X3,X1)
| ~ p10(X4,X2) ),
p29_38 ).
cnf(c_0_17,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_18,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
p10_41 ).
cnf(c_0_20,negated_conjecture,
( p29(X1,X2)
| ~ p29(X1,X3)
| ~ p10(X3,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( p29(X1,X2)
| ~ p27(f12(c32,X2),X1) ),
p29_18 ).
cnf(c_0_23,negated_conjecture,
( p27(f12(c32,f14(f19(c35,X1),f17(c36,X2))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X2),c31)
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30))) ),
p27_55 ).
cnf(c_0_24,negated_conjecture,
( p29(X1,c38)
| ~ p29(X1,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,X1),f17(c36,X2)))
| ~ p28(f21(c30,X2),c31)
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
not_p29_17 ).
cnf(c_0_27,negated_conjecture,
( ~ p28(f21(c30,c40),c31)
| ~ p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( p27(f12(c32,X1),X2)
| ~ p29(X2,X1) ),
p27_19 ).
cnf(c_0_29,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X1)),c31) ),
p29_53 ).
cnf(c_0_30,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p29(f24(c42,X1),c39) ),
p28_37 ).
cnf(c_0_31,negated_conjecture,
( p29(f24(c42,f26(c43,X1)),c39)
| p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39)) ),
p29_52 ).
cnf(c_0_32,negated_conjecture,
( ~ p28(f21(c30,c40),c31)
| ~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( p29(f5(c33,f8(c34,c30)),X1)
| ~ p10(X1,f14(f19(c35,c37),c39)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_34,negated_conjecture,
~ p28(f21(c30,c40),c31),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_15])]) ).
cnf(c_0_35,negated_conjecture,
( p28(f21(c30,X1),c31)
| ~ p16(X1,c40) ),
p28_20 ).
cnf(c_0_36,negated_conjecture,
p16(X1,X1),
p16_12 ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN673-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 19:27:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.021000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.024000 s
%------------------------------------------------------------------------------