TSTP Solution File: SYN711-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN711-1 : 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 : 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 01:53:53 EDT 2023
% Result : Unsatisfiable 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 67
% Syntax : Number of formulae : 75 ( 8 unt; 62 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 75 ( 43 >; 32 *; 0 +; 0 <<)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 19 con; 0-4 aty)
% Number of variables : 11 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c46: $i ).
tff(decl_23,type,
p39: $i > $o ).
tff(decl_24,type,
c56: $i ).
tff(decl_25,type,
c47: $i ).
tff(decl_26,type,
c58: $i ).
tff(decl_27,type,
p45: $i > $o ).
tff(decl_28,type,
c55: $i ).
tff(decl_29,type,
c57: $i ).
tff(decl_30,type,
p17: ( $i * $i ) > $o ).
tff(decl_31,type,
p9: ( $i * $i ) > $o ).
tff(decl_32,type,
p6: ( $i * $i ) > $o ).
tff(decl_33,type,
p5: ( $i * $i ) > $o ).
tff(decl_34,type,
p33: ( $i * $i ) > $o ).
tff(decl_35,type,
p3: ( $i * $i ) > $o ).
tff(decl_36,type,
p28: ( $i * $i ) > $o ).
tff(decl_37,type,
p26: ( $i * $i ) > $o ).
tff(decl_38,type,
p24: ( $i * $i ) > $o ).
tff(decl_39,type,
p22: ( $i * $i ) > $o ).
tff(decl_40,type,
p2: ( $i * $i ) > $o ).
tff(decl_41,type,
p19: ( $i * $i ) > $o ).
tff(decl_42,type,
c52: $i ).
tff(decl_43,type,
f34: $i > $i ).
tff(decl_44,type,
p44: ( $i * $i ) > $o ).
tff(decl_45,type,
f7: $i > $i ).
tff(decl_46,type,
c48: $i ).
tff(decl_47,type,
f4: $i > $i ).
tff(decl_48,type,
p40: ( $i * $i ) > $o ).
tff(decl_49,type,
c62: $i ).
tff(decl_50,type,
f16: $i > $i ).
tff(decl_51,type,
p42: ( $i * $i ) > $o ).
tff(decl_52,type,
p41: ( $i * $i ) > $o ).
tff(decl_53,type,
c49: $i ).
tff(decl_54,type,
f12: $i > $i ).
tff(decl_55,type,
f11: $i > $i ).
tff(decl_56,type,
f10: $i > $i ).
tff(decl_57,type,
f8: $i > $i ).
tff(decl_58,type,
f15: $i > $i ).
tff(decl_59,type,
f18: $i > $i ).
tff(decl_60,type,
f23: $i > $i ).
tff(decl_61,type,
f13: $i > $i ).
tff(decl_62,type,
f38: $i > $i ).
tff(decl_63,type,
c50: $i ).
tff(decl_64,type,
f35: ( $i * $i ) > $i ).
tff(decl_65,type,
f37: ( $i * $i ) > $i ).
tff(decl_66,type,
c53: $i ).
tff(decl_67,type,
c1: $i ).
tff(decl_68,type,
f30: ( $i * $i ) > $i ).
tff(decl_69,type,
f27: ( $i * $i ) > $i ).
tff(decl_70,type,
f31: ( $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
c54: $i ).
tff(decl_72,type,
f25: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
c51: $i ).
tff(decl_74,type,
p43: ( $i * $i ) > $o ).
tff(decl_75,type,
f20: ( $i * $i ) > $i ).
tff(decl_76,type,
f36: ( $i * $i ) > $i ).
tff(decl_77,type,
f32: ( $i * $i ) > $i ).
tff(decl_78,type,
f14: ( $i * $i ) > $i ).
tff(decl_79,type,
f21: ( $i * $i ) > $i ).
tff(decl_80,type,
c59: $i ).
tff(decl_81,type,
c61: $i ).
tff(decl_82,type,
c60: $i ).
tff(decl_83,type,
c63: $i ).
cnf(p42_26,negated_conjecture,
( p42(X1,X2)
| ~ p41(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p42_26) ).
cnf(p41_80,negated_conjecture,
p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p41_80) ).
cnf(p42_47,negated_conjecture,
( p42(X1,X2)
| ~ p42(X1,X3)
| ~ p42(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p42_47) ).
cnf(not_p42_78,negated_conjecture,
~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p42_78) ).
cnf(p42_25,negated_conjecture,
p42(f16(c62),f16(f7(c46))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p42_25) ).
cnf(c_0_5,negated_conjecture,
( p42(X1,X2)
| ~ p41(X1,X2) ),
p42_26 ).
cnf(c_0_6,negated_conjecture,
p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
p41_80 ).
cnf(c_0_7,negated_conjecture,
( p42(X1,X2)
| ~ p42(X1,X3)
| ~ p42(X3,X2) ),
p42_47 ).
cnf(c_0_8,negated_conjecture,
p42(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
not_p42_78 ).
cnf(c_0_10,negated_conjecture,
( p42(X1,f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49)))))))))))
| ~ p42(X1,f16(f7(c46))) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
p42(f16(c62),f16(f7(c46))),
p42_25 ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN711-1 : 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 : n001.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 19:53:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.20/0.72 % Version : CSE_E---1.5
% 0.20/0.72 % Problem : theBenchmark.p
% 0.20/0.72 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark.p
% 0.20/0.72 % SZS output start Proof
% See solution above
% 0.20/0.73 % Total time : 0.124000 s
% 0.20/0.73 % SZS output end Proof
% 0.20/0.73 % Total time : 0.130000 s
%------------------------------------------------------------------------------