TSTP Solution File: SYN657-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN657-1 : 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 : n031.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 01:53:39 EDT 2023
% Result : Unsatisfiable 0.80s 0.85s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 43
% Syntax : Number of formulae : 57 ( 11 unt; 35 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 25 >; 20 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 35 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p17: ( $i * $i ) > $o ).
tff(decl_23,type,
p7: ( $i * $i ) > $o ).
tff(decl_24,type,
p6: ( $i * $i ) > $o ).
tff(decl_25,type,
p4: ( $i * $i ) > $o ).
tff(decl_26,type,
p3: ( $i * $i ) > $o ).
tff(decl_27,type,
p2: ( $i * $i ) > $o ).
tff(decl_28,type,
c32: $i ).
tff(decl_29,type,
c31: $i ).
tff(decl_30,type,
p24: ( $i * $i ) > $o ).
tff(decl_31,type,
p26: ( $i * $i ) > $o ).
tff(decl_32,type,
c35: $i ).
tff(decl_33,type,
c34: $i ).
tff(decl_34,type,
c28: $i ).
tff(decl_35,type,
c33: $i ).
tff(decl_36,type,
f10: $i > $i ).
tff(decl_37,type,
f12: $i > $i ).
tff(decl_38,type,
f11: $i > $i ).
tff(decl_39,type,
p23: ( $i * $i ) > $o ).
tff(decl_40,type,
c27: $i ).
tff(decl_41,type,
c29: $i ).
tff(decl_42,type,
f9: ( $i * $i ) > $i ).
tff(decl_43,type,
f8: ( $i * $i ) > $i ).
tff(decl_44,type,
f18: $i > $i ).
tff(decl_45,type,
p25: ( $i * $i ) > $o ).
tff(decl_46,type,
f21: $i > $i ).
tff(decl_47,type,
f19: $i > $i ).
tff(decl_48,type,
f15: $i > $i ).
tff(decl_49,type,
c30: $i ).
tff(decl_50,type,
f5: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
f16: ( $i * $i ) > $i ).
tff(decl_52,type,
f13: ( $i * $i ) > $i ).
tff(decl_53,type,
f20: ( $i * $i ) > $i ).
tff(decl_54,type,
f14: ( $i * $i ) > $i ).
tff(decl_55,type,
c36: $i ).
tff(decl_56,type,
f22: ( $i * $i * $i ) > $i ).
cnf(p6_49,negated_conjecture,
( p6(f21(X1),f10(c33))
| p4(f5(X1,c36,X2),f5(X1,c36,X3))
| ~ p24(f19(f20(X2,X3)),f19(f20(X2,f22(X1,X2,X3)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_49) ).
cnf(p24_45,negated_conjecture,
( p24(f19(f20(c31,c34)),f19(f20(c31,X1)))
| ~ p25(X1,f18(f8(c27,f9(c28,c29)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_45) ).
cnf(p6_25,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_25) ).
cnf(p6_15,negated_conjecture,
p6(f21(f8(X1,f9(X2,X3))),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_15) ).
cnf(p6_48,negated_conjecture,
( p6(f21(X1),f10(c33))
| p25(f22(X1,X2,X3),f18(X1))
| p4(f5(X1,c36,X2),f5(X1,c36,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_48) ).
cnf(not_p4_44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_44) ).
cnf(p6_3,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
cnf(not_p6_11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_11) ).
cnf(c_0_8,negated_conjecture,
( p6(f21(X1),f10(c33))
| p4(f5(X1,c36,X2),f5(X1,c36,X3))
| ~ p24(f19(f20(X2,X3)),f19(f20(X2,f22(X1,X2,X3)))) ),
p6_49 ).
cnf(c_0_9,negated_conjecture,
( p24(f19(f20(c31,c34)),f19(f20(c31,X1)))
| ~ p25(X1,f18(f8(c27,f9(c28,c29)))) ),
p24_45 ).
cnf(c_0_10,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
p6_25 ).
cnf(c_0_11,negated_conjecture,
p6(f21(f8(X1,f9(X2,X3))),X2),
p6_15 ).
cnf(c_0_12,negated_conjecture,
( p4(f5(X1,c36,c31),f5(X1,c36,c34))
| p6(f21(X1),f10(c33))
| ~ p25(f22(X1,c31,c34),f18(f8(c27,f9(c28,c29)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( p6(f21(X1),f10(c33))
| p25(f22(X1,X2,X3),f18(X1))
| p4(f5(X1,c36,X2),f5(X1,c36,X3)) ),
p6_48 ).
cnf(c_0_14,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
not_p4_44 ).
cnf(c_0_15,negated_conjecture,
p6(X1,X1),
p6_3 ).
cnf(c_0_16,negated_conjecture,
( p6(X1,X2)
| ~ p6(f21(f8(X3,f9(X2,X4))),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
p6(f21(f8(c27,f9(c28,c29))),f10(c33)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p6(X1,X2)
| ~ p6(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
p6(f10(c33),c28),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ p6(c28,f10(c33)),
not_p6_11 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN657-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.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 20:20:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.65 start to proof: theBenchmark
% 0.80/0.85 % Version : CSE_E---1.5
% 0.80/0.85 % Problem : theBenchmark.p
% 0.80/0.85 % Proof found
% 0.80/0.85 % SZS status Theorem for theBenchmark.p
% 0.80/0.85 % SZS output start Proof
% See solution above
% 0.80/0.86 % Total time : 0.198000 s
% 0.80/0.86 % SZS output end Proof
% 0.80/0.86 % Total time : 0.201000 s
%------------------------------------------------------------------------------