TSTP Solution File: SYN701-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN701-1 : 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 : n028.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 01:53:50 EDT 2023
% Result : Unsatisfiable 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 55
% Syntax : Number of formulae : 69 ( 13 unt; 47 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 32 >; 21 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c34: $i ).
tff(decl_23,type,
p25: $i > $o ).
tff(decl_24,type,
c36: $i ).
tff(decl_25,type,
p29: $i > $o ).
tff(decl_26,type,
c41: $i ).
tff(decl_27,type,
f18: $i > $i ).
tff(decl_28,type,
p30: $i > $o ).
tff(decl_29,type,
c38: $i ).
tff(decl_30,type,
f16: $i > $i ).
tff(decl_31,type,
p28: $i > $o ).
tff(decl_32,type,
c39: $i ).
tff(decl_33,type,
c40: $i ).
tff(decl_34,type,
p10: ( $i * $i ) > $o ).
tff(decl_35,type,
p7: ( $i * $i ) > $o ).
tff(decl_36,type,
p6: ( $i * $i ) > $o ).
tff(decl_37,type,
p3: ( $i * $i ) > $o ).
tff(decl_38,type,
p21: ( $i * $i ) > $o ).
tff(decl_39,type,
p2: ( $i * $i ) > $o ).
tff(decl_40,type,
p17: ( $i * $i ) > $o ).
tff(decl_41,type,
p14: ( $i * $i ) > $o ).
tff(decl_42,type,
p12: ( $i * $i ) > $o ).
tff(decl_43,type,
c44: $i ).
tff(decl_44,type,
c46: $i ).
tff(decl_45,type,
c47: $i ).
tff(decl_46,type,
c42: $i ).
tff(decl_47,type,
p31: ( $i * $i ) > $o ).
tff(decl_48,type,
f5: $i > $i ).
tff(decl_49,type,
c35: $i ).
tff(decl_50,type,
f8: $i > $i ).
tff(decl_51,type,
c45: $i ).
tff(decl_52,type,
f22: ( $i * $i ) > $i ).
tff(decl_53,type,
c48: $i ).
tff(decl_54,type,
p32: ( $i * $i ) > $o ).
tff(decl_55,type,
c43: $i ).
tff(decl_56,type,
c37: $i ).
tff(decl_57,type,
f20: $i > $i ).
tff(decl_58,type,
f9: $i > $i ).
tff(decl_59,type,
f23: ( $i * $i ) > $i ).
tff(decl_60,type,
f4: $i > $i ).
tff(decl_61,type,
p26: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
f24: $i > $i ).
tff(decl_63,type,
f11: ( $i * $i ) > $i ).
tff(decl_64,type,
p33: ( $i * $i ) > $o ).
tff(decl_65,type,
p27: ( $i * $i ) > $o ).
tff(decl_66,type,
f19: ( $i * $i ) > $i ).
tff(decl_67,type,
f13: ( $i * $i ) > $i ).
tff(decl_68,type,
f15: ( $i * $i ) > $i ).
cnf(p2_42,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_42) ).
cnf(p2_12,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_55,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_55) ).
cnf(not_p2_56,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_56) ).
cnf(p2_62,negated_conjecture,
( p2(f11(X1,X2),f11(X3,X4))
| ~ p10(X2,X4)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
cnf(p3_31,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_31) ).
cnf(p2_16,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
cnf(p10_7,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
cnf(c_0_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_42 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_12 ).
cnf(c_0_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
p2_55 ).
cnf(c_0_12,negated_conjecture,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
not_p2_56 ).
cnf(c_0_14,negated_conjecture,
( p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(c44),c43),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( p2(f11(X1,X2),f11(X3,X4))
| ~ p10(X2,X4)
| ~ p3(X1,X3) ),
p2_62 ).
cnf(c_0_16,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p3_31 ).
cnf(c_0_17,negated_conjecture,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p2(f11(f4(X1),X2),f11(f4(X3),X4))
| ~ p2(X1,X3)
| ~ p10(X2,X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
p2(c44,c46),
p2_16 ).
cnf(c_0_20,negated_conjecture,
p10(X1,X1),
p10_7 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN701-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n028.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 17:54:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.66 % Version : CSE_E---1.5
% 0.19/0.66 % Problem : theBenchmark.p
% 0.19/0.66 % Proof found
% 0.19/0.66 % SZS status Theorem for theBenchmark.p
% 0.19/0.66 % SZS output start Proof
% See solution above
% 0.19/0.66 % Total time : 0.085000 s
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time : 0.089000 s
%------------------------------------------------------------------------------