TSTP Solution File: SYN691-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN691-1 : 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 01:53:48 EDT 2023
% Result : Unsatisfiable 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 58
% Syntax : Number of formulae : 75 ( 13 unt; 48 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 76 ( 38 >; 38 *; 0 +; 0 <<)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 10 con; 0-2 aty)
% Number of variables : 61 ( 12 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p11: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p8: ( $i * $i ) > $o ).
tff(decl_25,type,
p6: ( $i * $i ) > $o ).
tff(decl_26,type,
p4: ( $i * $i ) > $o ).
tff(decl_27,type,
p37: ( $i * $i ) > $o ).
tff(decl_28,type,
p35: ( $i * $i ) > $o ).
tff(decl_29,type,
p33: ( $i * $i ) > $o ).
tff(decl_30,type,
p31: ( $i * $i ) > $o ).
tff(decl_31,type,
p3: ( $i * $i ) > $o ).
tff(decl_32,type,
p29: ( $i * $i ) > $o ).
tff(decl_33,type,
p27: ( $i * $i ) > $o ).
tff(decl_34,type,
p25: ( $i * $i ) > $o ).
tff(decl_35,type,
p23: ( $i * $i ) > $o ).
tff(decl_36,type,
p22: ( $i * $i ) > $o ).
tff(decl_37,type,
p20: ( $i * $i ) > $o ).
tff(decl_38,type,
p2: ( $i * $i ) > $o ).
tff(decl_39,type,
p18: ( $i * $i ) > $o ).
tff(decl_40,type,
p16: ( $i * $i ) > $o ).
tff(decl_41,type,
p14: ( $i * $i ) > $o ).
tff(decl_42,type,
p12: ( $i * $i ) > $o ).
tff(decl_43,type,
c40: $i ).
tff(decl_44,type,
c42: $i ).
tff(decl_45,type,
c43: $i ).
tff(decl_46,type,
f15: ( $i * $i ) > $i ).
tff(decl_47,type,
c44: $i ).
tff(decl_48,type,
f13: ( $i * $i ) > $i ).
tff(decl_49,type,
c45: $i ).
tff(decl_50,type,
f10: ( $i * $i ) > $i ).
tff(decl_51,type,
f5: ( $i * $i ) > $i ).
tff(decl_52,type,
c46: $i ).
tff(decl_53,type,
p39: ( $i * $i ) > $o ).
tff(decl_54,type,
c47: $i ).
tff(decl_55,type,
f21: ( $i * $i ) > $i ).
tff(decl_56,type,
f19: ( $i * $i ) > $i ).
tff(decl_57,type,
f17: ( $i * $i ) > $i ).
tff(decl_58,type,
c41: $i ).
tff(decl_59,type,
f7: ( $i * $i ) > $i ).
tff(decl_60,type,
f34: ( $i * $i ) > $i ).
tff(decl_61,type,
f38: ( $i * $i ) > $i ).
tff(decl_62,type,
f36: ( $i * $i ) > $i ).
tff(decl_63,type,
f32: ( $i * $i ) > $i ).
tff(decl_64,type,
f30: ( $i * $i ) > $i ).
tff(decl_65,type,
f28: ( $i * $i ) > $i ).
tff(decl_66,type,
f24: ( $i * $i ) > $i ).
tff(decl_67,type,
f26: ( $i * $i ) > $i ).
tff(decl_68,type,
c48: $i ).
tff(decl_69,type,
c49: $i ).
cnf(p39_45,negated_conjecture,
( p39(X1,X2)
| ~ p39(X3,X4)
| ~ p4(X3,X1)
| ~ p22(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_45) ).
cnf(p22_15,negated_conjecture,
p22(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_15) ).
cnf(p4_50,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
cnf(p39_46,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_46) ).
cnf(p3_67,negated_conjecture,
p3(f7(c41,f10(f13(f15(c42,X1),X2),X3)),f10(f13(f15(c42,f17(f19(f21(c47,X1),X2),X3)),f26(f28(f30(c48,X1),X2),X3)),f34(f36(f38(c49,X1),X2),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_67) ).
cnf(p39_63,negated_conjecture,
( p39(X1,X2)
| ~ p39(f5(c40,f10(f13(f15(c42,X1),X3),X4)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_63) ).
cnf(p2_17,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(not_p39_43,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p39_43) ).
cnf(p39_64,negated_conjecture,
( p39(f5(c40,f10(f13(f15(c42,X1),X2),X3)),X4)
| ~ p39(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_64) ).
cnf(p39_44,negated_conjecture,
( p39(X1,X2)
| ~ p39(f17(f19(f21(c47,X1),X3),X4),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_44) ).
cnf(c_0_10,negated_conjecture,
( p39(X1,X2)
| ~ p39(X3,X4)
| ~ p4(X3,X1)
| ~ p22(X4,X2) ),
p39_45 ).
cnf(c_0_11,negated_conjecture,
p22(X1,X1),
p22_15 ).
cnf(c_0_12,negated_conjecture,
( p39(X1,X2)
| ~ p39(X3,X2)
| ~ p4(X3,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_50 ).
cnf(c_0_14,negated_conjecture,
( p39(f5(X1,X2),X3)
| ~ p39(f5(X4,X5),X3)
| ~ p2(X4,X1)
| ~ p3(X5,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
p39_46 ).
cnf(c_0_16,negated_conjecture,
( p39(f5(X1,X2),c46)
| ~ p2(c40,X1)
| ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
p3(f7(c41,f10(f13(f15(c42,X1),X2),X3)),f10(f13(f15(c42,f17(f19(f21(c47,X1),X2),X3)),f26(f28(f30(c48,X1),X2),X3)),f34(f36(f38(c49,X1),X2),X3))),
p3_67 ).
cnf(c_0_18,negated_conjecture,
( p39(X1,X2)
| ~ p39(f5(c40,f10(f13(f15(c42,X1),X3),X4)),X2) ),
p39_63 ).
cnf(c_0_19,negated_conjecture,
( p39(f5(X1,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46)
| ~ p2(c40,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
p2(X1,X1),
p2_17 ).
cnf(c_0_21,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
not_p39_43 ).
cnf(c_0_22,negated_conjecture,
( p39(f5(c40,f10(f13(f15(c42,X1),X2),X3)),X4)
| ~ p39(X1,X4) ),
p39_64 ).
cnf(c_0_23,negated_conjecture,
( p39(X1,X2)
| ~ p39(f17(f19(f21(c47,X1),X3),X4),X2) ),
p39_44 ).
cnf(c_0_24,negated_conjecture,
p39(f17(f19(f21(c47,c43),c44),c45),c46),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
~ p39(c43,c46),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN691-1 : 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
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 17:31:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.009000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.013000 s
%------------------------------------------------------------------------------