TSTP Solution File: SYN707-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN707-1 : 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 : n005.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 01:53:52 EDT 2023
% Result : Unsatisfiable 1.71s 1.79s
% Output : CNFRefutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 73
% Syntax : Number of formulae : 102 ( 19 unt; 58 typ; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 94 ( 48 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 41 >; 22 *; 0 +; 0 <<)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 41 ( 41 usr; 17 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c56: $i ).
tff(decl_23,type,
p38: $i > $o ).
tff(decl_24,type,
p34: $i > $o ).
tff(decl_25,type,
p10: ( $i * $i ) > $o ).
tff(decl_26,type,
p9: ( $i * $i ) > $o ).
tff(decl_27,type,
p32: ( $i * $i ) > $o ).
tff(decl_28,type,
p3: ( $i * $i ) > $o ).
tff(decl_29,type,
p2: ( $i * $i ) > $o ).
tff(decl_30,type,
p16: ( $i * $i ) > $o ).
tff(decl_31,type,
p12: ( $i * $i ) > $o ).
tff(decl_32,type,
c54: $i ).
tff(decl_33,type,
c55: $i ).
tff(decl_34,type,
p33: ( $i * $i ) > $o ).
tff(decl_35,type,
c58: $i ).
tff(decl_36,type,
p35: ( $i * $i ) > $o ).
tff(decl_37,type,
c57: $i ).
tff(decl_38,type,
f15: $i > $i ).
tff(decl_39,type,
c48: $i ).
tff(decl_40,type,
p37: ( $i * $i ) > $o ).
tff(decl_41,type,
c47: $i ).
tff(decl_42,type,
p36: ( $i * $i ) > $o ).
tff(decl_43,type,
f19: $i > $i ).
tff(decl_44,type,
f18: $i > $i ).
tff(decl_45,type,
c59: $i ).
tff(decl_46,type,
f17: $i > $i ).
tff(decl_47,type,
p39: ( $i * $i ) > $o ).
tff(decl_48,type,
p40: $i > $o ).
tff(decl_49,type,
f11: $i > $i ).
tff(decl_50,type,
f27: $i > $i ).
tff(decl_51,type,
f4: $i > $i ).
tff(decl_52,type,
f7: $i > $i ).
tff(decl_53,type,
f6: $i > $i ).
tff(decl_54,type,
f5: $i > $i ).
tff(decl_55,type,
f31: $i > $i ).
tff(decl_56,type,
f26: $i > $i ).
tff(decl_57,type,
f28: $i > $i ).
tff(decl_58,type,
f24: $i > $i ).
tff(decl_59,type,
f23: $i > $i ).
tff(decl_60,type,
f22: $i > $i ).
tff(decl_61,type,
c43: $i ).
tff(decl_62,type,
c44: $i ).
tff(decl_63,type,
p41: ( $i * $i ) > $o ).
tff(decl_64,type,
p42: ( $i * $i ) > $o ).
tff(decl_65,type,
f13: ( $i * $i ) > $i ).
tff(decl_66,type,
f20: ( $i * $i ) > $i ).
tff(decl_67,type,
f14: ( $i * $i ) > $i ).
tff(decl_68,type,
f21: ( $i * $i ) > $i ).
tff(decl_69,type,
f25: ( $i * $i ) > $i ).
tff(decl_70,type,
f29: ( $i * $i ) > $i ).
tff(decl_71,type,
f30: ( $i * $i ) > $i ).
tff(decl_72,type,
f8: ( $i * $i ) > $i ).
tff(decl_73,type,
c45: $i ).
tff(decl_74,type,
c46: $i ).
tff(decl_75,type,
c52: $i ).
tff(decl_76,type,
c50: $i ).
tff(decl_77,type,
c53: $i ).
tff(decl_78,type,
c51: $i ).
tff(decl_79,type,
c49: $i ).
cnf(p16_42,negated_conjecture,
( p16(X1,X2)
| ~ p16(X3,X1)
| ~ p16(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_42) ).
cnf(p16_32,negated_conjecture,
( p16(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_32) ).
cnf(p10_37,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_37) ).
cnf(p10_3,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_3) ).
cnf(p10_66,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_66) ).
cnf(p39_52,negated_conjecture,
( p39(X1,X2)
| ~ p16(X3,X2)
| ~ p39(X4,X3)
| ~ p16(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_52) ).
cnf(p16_36,negated_conjecture,
( p16(f19(f15(X1)),f28(f19(X1)))
| ~ p38(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_36) ).
cnf(p39_54,negated_conjecture,
( p39(f19(X1),f19(X2))
| ~ p38(X2)
| ~ p38(X1)
| ~ p37(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_54) ).
cnf(p38_15,negated_conjecture,
( p38(f15(X1))
| ~ p38(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_15) ).
cnf(p38_19,negated_conjecture,
( p38(X1)
| ~ p38(X2)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_19) ).
cnf(f11_is_p38_64,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11_is_p38_64) ).
cnf(p16_8,negated_conjecture,
p16(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_8) ).
cnf(p37_13,negated_conjecture,
p37(f15(c56),c48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_13) ).
cnf(c56_is_p38_1,negated_conjecture,
p38(c56),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56_is_p38_1) ).
cnf(not_p39_69,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p39_69) ).
cnf(c_0_15,negated_conjecture,
( p16(X1,X2)
| ~ p16(X3,X1)
| ~ p16(X3,X2) ),
p16_42 ).
cnf(c_0_16,negated_conjecture,
( p16(f19(X1),f19(X2))
| ~ p10(X1,X2) ),
p16_32 ).
cnf(c_0_17,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_37 ).
cnf(c_0_18,negated_conjecture,
p10(X1,X1),
p10_3 ).
cnf(c_0_19,negated_conjecture,
( p16(X1,f19(X2))
| ~ p16(f19(X3),X1)
| ~ p10(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
p10_66 ).
cnf(c_0_22,negated_conjecture,
( p39(X1,X2)
| ~ p16(X3,X2)
| ~ p39(X4,X3)
| ~ p16(X4,X1) ),
p39_52 ).
cnf(c_0_23,negated_conjecture,
( p16(f19(f15(X1)),f28(f19(X1)))
| ~ p38(X1) ),
p16_36 ).
cnf(c_0_24,negated_conjecture,
( p16(f19(X1),f19(X2))
| ~ p10(X3,X2)
| ~ p10(X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( p39(f28(f19(X1)),X2)
| ~ p39(f19(f15(X1)),X3)
| ~ p16(X3,X2)
| ~ p38(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( p39(f19(X1),f19(X2))
| ~ p38(X2)
| ~ p38(X1)
| ~ p37(X1,X2) ),
p39_54 ).
cnf(c_0_28,negated_conjecture,
( p38(f15(X1))
| ~ p38(X1) ),
p38_15 ).
cnf(c_0_29,negated_conjecture,
( p38(X1)
| ~ p38(X2)
| ~ p10(X2,X1) ),
p38_19 ).
cnf(c_0_30,negated_conjecture,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
f11_is_p38_64 ).
cnf(c_0_31,negated_conjecture,
p16(X1,X1),
p16_8 ).
cnf(c_0_32,negated_conjecture,
( p16(f19(X1),f19(c48))
| ~ p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( p10(X1,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| ~ p10(c48,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_34,negated_conjecture,
( p39(f28(f19(X1)),X2)
| ~ p37(f15(X1),X3)
| ~ p16(f19(X3),X2)
| ~ p38(X1)
| ~ p38(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_35,negated_conjecture,
p37(f15(c56),c48),
p37_13 ).
cnf(c_0_36,negated_conjecture,
p38(c56),
c56_is_p38_1 ).
cnf(c_0_37,negated_conjecture,
p38(c48),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_30])]) ).
cnf(c_0_38,negated_conjecture,
( p16(X1,X2)
| ~ p16(X2,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
p16(f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),f19(c48)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_21])]) ).
cnf(c_0_40,negated_conjecture,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
not_p39_69 ).
cnf(c_0_41,negated_conjecture,
( p39(f28(f19(c56)),X1)
| ~ p16(f19(c48),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN707-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n005.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 20:25:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 1.71/1.79 % Version : CSE_E---1.5
% 1.71/1.79 % Problem : theBenchmark.p
% 1.71/1.79 % Proof found
% 1.71/1.79 % SZS status Theorem for theBenchmark.p
% 1.71/1.79 % SZS output start Proof
% See solution above
% 1.71/1.79 % Total time : 1.200000 s
% 1.71/1.79 % SZS output end Proof
% 1.71/1.79 % Total time : 1.205000 s
%------------------------------------------------------------------------------