TSTP Solution File: SYN690-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN690-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 01:53:47 EDT 2023
% Result : Unsatisfiable 0.15s 0.53s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 57
% Syntax : Number of formulae : 76 ( 12 unt; 47 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 34 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 68 ( 34 >; 34 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-2 aty)
% Number of variables : 56 ( 0 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,
p33: ( $i * $i ) > $o ).
tff(decl_28,type,
p31: ( $i * $i ) > $o ).
tff(decl_29,type,
p3: ( $i * $i ) > $o ).
tff(decl_30,type,
p29: ( $i * $i ) > $o ).
tff(decl_31,type,
p27: ( $i * $i ) > $o ).
tff(decl_32,type,
p25: ( $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,
p13: ( $i * $i ) > $o ).
tff(decl_40,type,
c36: $i ).
tff(decl_41,type,
c37: $i ).
tff(decl_42,type,
p34: ( $i * $i ) > $o ).
tff(decl_43,type,
c38: $i ).
tff(decl_44,type,
c40: $i ).
tff(decl_45,type,
f5: ( $i * $i ) > $i ).
tff(decl_46,type,
c39: $i ).
tff(decl_47,type,
f7: ( $i * $i ) > $i ).
tff(decl_48,type,
p35: ( $i * $i ) > $o ).
tff(decl_49,type,
f10: ( $i * $i ) > $i ).
tff(decl_50,type,
f14: ( $i * $i ) > $i ).
tff(decl_51,type,
f16: ( $i * $i ) > $i ).
tff(decl_52,type,
f20: ( $i * $i ) > $i ).
tff(decl_53,type,
f22: ( $i * $i ) > $i ).
tff(decl_54,type,
f26: ( $i * $i ) > $i ).
tff(decl_55,type,
f24: ( $i * $i ) > $i ).
tff(decl_56,type,
f28: ( $i * $i ) > $i ).
tff(decl_57,type,
f32: ( $i * $i ) > $i ).
tff(decl_58,type,
f12: ( $i * $i ) > $i ).
tff(decl_59,type,
f18: ( $i * $i ) > $i ).
tff(decl_60,type,
f30: ( $i * $i ) > $i ).
tff(decl_61,type,
c41: $i ).
tff(decl_62,type,
c47: $i ).
tff(decl_63,type,
c48: $i ).
tff(decl_64,type,
c46: $i ).
tff(decl_65,type,
c43: $i ).
tff(decl_66,type,
c44: $i ).
tff(decl_67,type,
c42: $i ).
tff(decl_68,type,
c45: $i ).
cnf(p4_27,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_27) ).
cnf(p4_21,negated_conjecture,
p4(f5(c40,X1),f5(f7(c39,c40),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_21) ).
cnf(p2_61,negated_conjecture,
( p2(X1,X2)
| p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
| ~ p34(c36,X3)
| ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p4_22,negated_conjecture,
p4(f5(c38,X1),f5(f7(c39,c38),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).
cnf(not_p2_20,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_20) ).
cnf(p4_57,negated_conjecture,
( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
| p35(f10(c37,f12(f14(f16(c41,X1),X3),X2)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).
cnf(p34_19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).
cnf(p4_58,negated_conjecture,
( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
| ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).
cnf(p2_62,negated_conjecture,
( p2(X1,X2)
| ~ p34(c36,X3)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).
cnf(c_0_10,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_27 ).
cnf(c_0_11,negated_conjecture,
p4(f5(c40,X1),f5(f7(c39,c40),X1)),
p4_21 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
| ~ p34(c36,X3)
| ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2))) ),
p2_61 ).
cnf(c_0_13,negated_conjecture,
( p4(X1,f5(f7(c39,c40),X2))
| ~ p4(f5(c40,X2),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_15,negated_conjecture,
p4(f5(c38,X1),f5(f7(c39,c38),X1)),
p4_22 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,c40)
| p4(f5(f26(f28(c43,X2),c39),X3),f5(f26(f28(c44,X2),c39),X3))
| ~ p35(f10(X2,X3),f30(f32(c42,X2),c39))
| ~ p34(c36,X2)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),c39),X1),c40)),f5(f7(c39,X1),f18(f20(f22(f24(c45,X2),c39),X1),c40))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
( p4(X1,f5(f7(c39,c38),X2))
| ~ p4(f5(c38,X2),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ p2(c38,c40),
not_p2_20 ).
cnf(c_0_19,negated_conjecture,
( p4(f5(f26(f28(c43,X1),c39),X2),f5(f26(f28(c44,X1),c39),X2))
| ~ p35(f10(X1,X2),f30(f32(c42,X1),c39))
| ~ p34(c36,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
| p35(f10(c37,f12(f14(f16(c41,X1),X3),X2)),X2) ),
p4_57 ).
cnf(c_0_21,negated_conjecture,
p34(c36,c37),
p34_19 ).
cnf(c_0_22,negated_conjecture,
( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
| ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2))) ),
p4_58 ).
cnf(c_0_23,negated_conjecture,
( p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))))
| p4(f5(f7(c39,X1),f30(f32(c42,c37),c39)),f5(f7(c39,X2),f30(f32(c42,c37),c39))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
( p2(X1,X2)
| ~ p34(c36,X3)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
| ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4))) ),
p2_62 ).
cnf(c_0_25,negated_conjecture,
p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( p2(X1,X2)
| ~ p4(f5(X2,f18(f20(f22(f24(c45,c37),c39),X1),X2)),f5(f7(c39,X2),f18(f20(f22(f24(c45,c37),c39),X1),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X1),X2)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X1),X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21])]) ).
cnf(c_0_27,negated_conjecture,
( p2(X1,c40)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X1),c40)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X1),c40))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_13]),c_0_14])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_17]),c_0_14])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN690-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sat Aug 26 21:38:29 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.48 start to proof: theBenchmark
% 0.15/0.53 % Version : CSE_E---1.5
% 0.15/0.53 % Problem : theBenchmark.p
% 0.15/0.53 % Proof found
% 0.15/0.53 % SZS status Theorem for theBenchmark.p
% 0.15/0.53 % SZS output start Proof
% See solution above
% 0.15/0.54 % Total time : 0.044000 s
% 0.15/0.54 % SZS output end Proof
% 0.15/0.54 % Total time : 0.047000 s
%------------------------------------------------------------------------------