TSTP Solution File: SYN710-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN710-1 : 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 : n029.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 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 60
% Syntax : Number of formulae : 70 ( 5 unt; 54 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 36 >; 36 *; 0 +; 0 <<)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 18 con; 0-2 aty)
% Number of variables : 23 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p8: ( $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,
p31: ( $i * $i ) > $o ).
tff(decl_28,type,
p3: ( $i * $i ) > $o ).
tff(decl_29,type,
p29: ( $i * $i ) > $o ).
tff(decl_30,type,
p28: ( $i * $i ) > $o ).
tff(decl_31,type,
p26: ( $i * $i ) > $o ).
tff(decl_32,type,
p24: ( $i * $i ) > $o ).
tff(decl_33,type,
p23: ( $i * $i ) > $o ).
tff(decl_34,type,
p21: ( $i * $i ) > $o ).
tff(decl_35,type,
p2: ( $i * $i ) > $o ).
tff(decl_36,type,
p19: ( $i * $i ) > $o ).
tff(decl_37,type,
p17: ( $i * $i ) > $o ).
tff(decl_38,type,
p15: ( $i * $i ) > $o ).
tff(decl_39,type,
p14: ( $i * $i ) > $o ).
tff(decl_40,type,
p12: ( $i * $i ) > $o ).
tff(decl_41,type,
c38: $i ).
tff(decl_42,type,
c39: $i ).
tff(decl_43,type,
p33: ( $i * $i ) > $o ).
tff(decl_44,type,
c43: $i ).
tff(decl_45,type,
c45: $i ).
tff(decl_46,type,
c44: $i ).
tff(decl_47,type,
c40: $i ).
tff(decl_48,type,
c41: $i ).
tff(decl_49,type,
c42: $i ).
tff(decl_50,type,
f5: ( $i * $i ) > $i ).
tff(decl_51,type,
p34: ( $i * $i ) > $o ).
tff(decl_52,type,
c46: $i ).
tff(decl_53,type,
f11: ( $i * $i ) > $i ).
tff(decl_54,type,
c47: $i ).
tff(decl_55,type,
f9: ( $i * $i ) > $i ).
tff(decl_56,type,
c50: $i ).
tff(decl_57,type,
p37: ( $i * $i ) > $o ).
tff(decl_58,type,
c53: $i ).
tff(decl_59,type,
f30: ( $i * $i ) > $i ).
tff(decl_60,type,
p35: ( $i * $i ) > $o ).
tff(decl_61,type,
p36: ( $i * $i ) > $o ).
tff(decl_62,type,
c51: $i ).
tff(decl_63,type,
f18: ( $i * $i ) > $i ).
tff(decl_64,type,
c55: $i ).
tff(decl_65,type,
f32: ( $i * $i ) > $i ).
tff(decl_66,type,
c48: $i ).
tff(decl_67,type,
c49: $i ).
tff(decl_68,type,
f16: ( $i * $i ) > $i ).
tff(decl_69,type,
f13: ( $i * $i ) > $i ).
tff(decl_70,type,
c54: $i ).
tff(decl_71,type,
f27: ( $i * $i ) > $i ).
tff(decl_72,type,
f25: ( $i * $i ) > $i ).
tff(decl_73,type,
f20: ( $i * $i ) > $i ).
tff(decl_74,type,
f22: ( $i * $i ) > $i ).
tff(decl_75,type,
c52: $i ).
cnf(p33_80,negated_conjecture,
( p33(f18(c51,X1),X2)
| ~ p33(f11(c46,X3),X2)
| ~ p33(f18(c51,X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_80) ).
cnf(p33_50,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_50) ).
cnf(p33_75,negated_conjecture,
( p33(f18(c51,X1),f13(f16(c48,X2),X3))
| ~ p33(f18(c51,X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_75) ).
cnf(p33_73,negated_conjecture,
( p33(f11(c46,X1),X2)
| ~ p33(f18(c51,f20(f22(c52,X1),X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_73) ).
cnf(p33_72,negated_conjecture,
( p33(f11(c46,X1),X2)
| p33(f18(c51,f20(f22(c52,X1),X2)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_72) ).
cnf(not_p33_25,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p33_25) ).
cnf(c_0_6,negated_conjecture,
( p33(f18(c51,X1),X2)
| ~ p33(f11(c46,X3),X2)
| ~ p33(f18(c51,X1),X3) ),
p33_80 ).
cnf(c_0_7,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
p33_50 ).
cnf(c_0_8,negated_conjecture,
( p33(f18(c51,X1),f9(c47,c43))
| ~ p33(f18(c51,X1),f13(f16(c48,c49),c50)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( p33(f18(c51,X1),f13(f16(c48,X2),X3))
| ~ p33(f18(c51,X1),X3) ),
p33_75 ).
cnf(c_0_10,negated_conjecture,
( p33(f11(c46,X1),X2)
| ~ p33(f18(c51,f20(f22(c52,X1),X2)),X2) ),
p33_73 ).
cnf(c_0_11,negated_conjecture,
( p33(f18(c51,X1),f9(c47,c43))
| ~ p33(f18(c51,X1),c50) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( p33(f11(c46,X1),f9(c47,c43))
| ~ p33(f18(c51,f20(f22(c52,X1),f9(c47,c43))),c50) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p33(f11(c46,X1),X2)
| p33(f18(c51,f20(f22(c52,X1),X2)),X1) ),
p33_72 ).
cnf(c_0_14,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
not_p33_25 ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN710-1 : 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
% 0.14/0.35 % Computer : n029.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 22:05:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.62 % Total time : 0.018000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.022000 s
%------------------------------------------------------------------------------