TSTP Solution File: SYN703-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN703-1 : 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 : n026.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 01:53:51 EDT 2023
% Result : Unsatisfiable 0.24s 0.65s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 67
% Syntax : Number of formulae : 84 ( 12 unt; 57 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 46 >; 46 *; 0 +; 0 <<)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 11 con; 0-2 aty)
% Number of variables : 67 ( 14 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p9: ( $i * $i ) > $o ).
tff(decl_23,type,
p10: ( $i * $i ) > $o ).
tff(decl_24,type,
p12: ( $i * $i ) > $o ).
tff(decl_25,type,
p14: ( $i * $i ) > $o ).
tff(decl_26,type,
p15: ( $i * $i ) > $o ).
tff(decl_27,type,
p17: ( $i * $i ) > $o ).
tff(decl_28,type,
p19: ( $i * $i ) > $o ).
tff(decl_29,type,
p2: ( $i * $i ) > $o ).
tff(decl_30,type,
p21: ( $i * $i ) > $o ).
tff(decl_31,type,
p23: ( $i * $i ) > $o ).
tff(decl_32,type,
p25: ( $i * $i ) > $o ).
tff(decl_33,type,
p27: ( $i * $i ) > $o ).
tff(decl_34,type,
p29: ( $i * $i ) > $o ).
tff(decl_35,type,
p3: ( $i * $i ) > $o ).
tff(decl_36,type,
p31: ( $i * $i ) > $o ).
tff(decl_37,type,
p33: ( $i * $i ) > $o ).
tff(decl_38,type,
p35: ( $i * $i ) > $o ).
tff(decl_39,type,
p37: ( $i * $i ) > $o ).
tff(decl_40,type,
p39: ( $i * $i ) > $o ).
tff(decl_41,type,
p4: ( $i * $i ) > $o ).
tff(decl_42,type,
p41: ( $i * $i ) > $o ).
tff(decl_43,type,
p43: ( $i * $i ) > $o ).
tff(decl_44,type,
p45: ( $i * $i ) > $o ).
tff(decl_45,type,
p6: ( $i * $i ) > $o ).
tff(decl_46,type,
p7: ( $i * $i ) > $o ).
tff(decl_47,type,
c48: $i ).
tff(decl_48,type,
c49: $i ).
tff(decl_49,type,
c50: $i ).
tff(decl_50,type,
f13: ( $i * $i ) > $i ).
tff(decl_51,type,
c51: $i ).
tff(decl_52,type,
f11: ( $i * $i ) > $i ).
tff(decl_53,type,
c52: $i ).
tff(decl_54,type,
f8: ( $i * $i ) > $i ).
tff(decl_55,type,
f5: ( $i * $i ) > $i ).
tff(decl_56,type,
c53: $i ).
tff(decl_57,type,
p47: ( $i * $i ) > $o ).
tff(decl_58,type,
c56: $i ).
tff(decl_59,type,
f26: ( $i * $i ) > $i ).
tff(decl_60,type,
f24: ( $i * $i ) > $i ).
tff(decl_61,type,
f22: ( $i * $i ) > $i ).
tff(decl_62,type,
f20: ( $i * $i ) > $i ).
tff(decl_63,type,
f30: ( $i * $i ) > $i ).
tff(decl_64,type,
f40: ( $i * $i ) > $i ).
tff(decl_65,type,
f46: ( $i * $i ) > $i ).
tff(decl_66,type,
f44: ( $i * $i ) > $i ).
tff(decl_67,type,
f42: ( $i * $i ) > $i ).
tff(decl_68,type,
f38: ( $i * $i ) > $i ).
tff(decl_69,type,
f36: ( $i * $i ) > $i ).
tff(decl_70,type,
f34: ( $i * $i ) > $i ).
tff(decl_71,type,
f16: ( $i * $i ) > $i ).
tff(decl_72,type,
f32: ( $i * $i ) > $i ).
tff(decl_73,type,
f28: ( $i * $i ) > $i ).
tff(decl_74,type,
f18: ( $i * $i ) > $i ).
tff(decl_75,type,
c54: $i ).
tff(decl_76,type,
c55: $i ).
tff(decl_77,type,
c57: $i ).
tff(decl_78,type,
c58: $i ).
cnf(p47_53,negated_conjecture,
( p47(X1,X2)
| ~ p4(X3,X1)
| ~ p47(X3,X4)
| ~ p15(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_53) ).
cnf(p4_60,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_60) ).
cnf(p47_77,negated_conjecture,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_77) ).
cnf(p3_80,negated_conjecture,
p3(f16(f18(c54,f8(f11(f13(c49,X1),X2),X3)),X4),f8(f11(f13(c49,f20(f22(f24(f26(c56,X1),X2),X3),X4)),f30(f32(f34(f36(c57,X1),X2),X3),X4)),f40(f42(f44(f46(c58,X1),X2),X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_80) ).
cnf(p47_74,negated_conjecture,
( p47(X1,X2)
| ~ p47(f5(c48,f8(f11(f13(c49,X1),X3),X4)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_74) ).
cnf(p2_8,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p47_75,negated_conjecture,
( p47(X1,X2)
| ~ p47(f20(f22(f24(f26(c56,X1),X3),X4),X5),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_75) ).
cnf(not_p47_51,negated_conjecture,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_51) ).
cnf(p47_76,negated_conjecture,
( p47(f5(c48,f8(f11(f13(c49,X1),X2),X3)),X4)
| ~ p47(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_76) ).
cnf(p15_5,negated_conjecture,
p15(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_5) ).
cnf(c_0_10,negated_conjecture,
( p47(X1,X2)
| ~ p4(X3,X1)
| ~ p47(X3,X4)
| ~ p15(X4,X2) ),
p47_53 ).
cnf(c_0_11,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_60 ).
cnf(c_0_12,negated_conjecture,
( p47(f5(X1,X2),X3)
| ~ p47(f5(X4,X5),X6)
| ~ p3(X5,X2)
| ~ p2(X4,X1)
| ~ p15(X6,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
p47_77 ).
cnf(c_0_14,negated_conjecture,
( p47(f5(X1,X2),X3)
| ~ p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),X2)
| ~ p2(c48,X1)
| ~ p15(c53,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p3(f16(f18(c54,f8(f11(f13(c49,X1),X2),X3)),X4),f8(f11(f13(c49,f20(f22(f24(f26(c56,X1),X2),X3),X4)),f30(f32(f34(f36(c57,X1),X2),X3),X4)),f40(f42(f44(f46(c58,X1),X2),X3),X4))),
p3_80 ).
cnf(c_0_16,negated_conjecture,
( p47(X1,X2)
| ~ p47(f5(c48,f8(f11(f13(c49,X1),X3),X4)),X2) ),
p47_74 ).
cnf(c_0_17,negated_conjecture,
( p47(f5(X1,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),X2)
| ~ p2(c48,X1)
| ~ p15(c53,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p2(X1,X1),
p2_8 ).
cnf(c_0_19,negated_conjecture,
( p47(X1,X2)
| ~ p47(f20(f22(f24(f26(c56,X1),X3),X4),X5),X2) ),
p47_75 ).
cnf(c_0_20,negated_conjecture,
( p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),X1)
| ~ p15(c53,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
not_p47_51 ).
cnf(c_0_22,negated_conjecture,
( p47(f5(c48,f8(f11(f13(c49,X1),X2),X3)),X4)
| ~ p47(X1,X4) ),
p47_76 ).
cnf(c_0_23,negated_conjecture,
( p47(c50,X1)
| ~ p15(c53,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p15(X1,X1),
p15_5 ).
cnf(c_0_25,negated_conjecture,
~ p47(c50,c53),
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
% 0.00/0.14 % Problem : SYN703-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 17:07:03 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.24/0.61 start to proof: theBenchmark
% 0.24/0.65 % Version : CSE_E---1.5
% 0.24/0.65 % Problem : theBenchmark.p
% 0.24/0.65 % Proof found
% 0.24/0.65 % SZS status Theorem for theBenchmark.p
% 0.24/0.65 % SZS output start Proof
% See solution above
% 0.24/0.66 % Total time : 0.031000 s
% 0.24/0.66 % SZS output end Proof
% 0.24/0.66 % Total time : 0.035000 s
%------------------------------------------------------------------------------