TSTP Solution File: SYN580-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN580-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 : 600s
% DateTime : Thu Jul 21 09:04:08 EDT 2022
% Result : Unsatisfiable 8.89s 9.09s
% Output : CNFRefutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 17
% Syntax : Number of clauses : 80 ( 22 unt; 23 nHn; 67 RR)
% Number of literals : 180 ( 0 equ; 78 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 78 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
p7(X19,X19) ).
cnf(p4_3,negated_conjecture,
p4(X12,X12) ).
cnf(p2_4,negated_conjecture,
p2(X7,X7) ).
cnf(p11_5,negated_conjecture,
p11(c15,c16) ).
cnf(p9_6,negated_conjecture,
p9(c12,c13) ).
cnf(p2_7,negated_conjecture,
p2(c14,f3(c15)) ).
cnf(not_p8_8,negated_conjecture,
~ p8(c12,c13,c14) ).
cnf(p4_9,negated_conjecture,
( p4(f6(X17),f6(X18))
| ~ p2(X17,X18) ) ).
cnf(p2_10,negated_conjecture,
( p2(f3(X10),f3(X11))
| ~ p2(X10,X11) ) ).
cnf(p2_15,negated_conjecture,
( p2(X8,X9)
| ~ p2(X7,X8)
| ~ p2(X7,X9) ) ).
cnf(p8_16,negated_conjecture,
( p8(c12,X28,X29)
| ~ p11(X29,c16)
| ~ p9(c12,X28) ) ).
cnf(p9_17,negated_conjecture,
( p9(c12,f5(X31))
| p8(c12,X30,X31)
| ~ p9(c12,X30) ) ).
cnf(p9_18,negated_conjecture,
( p9(c12,f6(X31))
| p8(c12,X30,f3(X31))
| ~ p9(c12,X30) ) ).
cnf(p9_19,negated_conjecture,
( p9(X32,X33)
| ~ p7(X35,X32)
| ~ p9(X35,X34)
| ~ p4(X34,X33) ) ).
cnf(p8_21,negated_conjecture,
( p8(c12,X30,X31)
| ~ p9(c12,X30)
| ~ p8(c12,f5(X31),f3(X31)) ) ).
cnf(p8_22,negated_conjecture,
( p8(c12,X30,f3(X31))
| ~ p9(c12,X30)
| ~ p8(c12,f6(X31),X31) ) ).
cnf(p8_23,negated_conjecture,
( p8(X22,X23,X24)
| ~ p2(X25,X24)
| ~ p4(X26,X23)
| ~ p7(X27,X22)
| ~ p8(X27,X26,X25) ) ).
cnf(refute_0_0,plain,
p2(c14,c14),
inference(subst,[],[p2_4:[bind(X7,$fot(c14))]]) ).
cnf(refute_0_1,plain,
( ~ p2(c14,X_53)
| ~ p2(c14,f3(c15))
| p2(f3(c15),X_53) ),
inference(subst,[],[p2_15:[bind(X7,$fot(c14)),bind(X8,$fot(f3(c15))),bind(X9,$fot(X_53))]]) ).
cnf(refute_0_2,plain,
( ~ p2(c14,X_53)
| p2(f3(c15),X_53) ),
inference(resolve,[$cnf( p2(c14,f3(c15)) )],[p2_7,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p2(c14,c14)
| p2(f3(c15),c14) ),
inference(subst,[],[refute_0_2:[bind(X_53,$fot(c14))]]) ).
cnf(refute_0_4,plain,
p2(f3(c15),c14),
inference(resolve,[$cnf( p2(c14,c14) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
p7(X_1565,X_1565),
inference(subst,[],[p7_2:[bind(X19,$fot(X_1565))]]) ).
cnf(refute_0_6,plain,
p4(X_623,X_623),
inference(subst,[],[p4_3:[bind(X12,$fot(X_623))]]) ).
cnf(refute_0_7,plain,
( ~ p2(X_625,X_624)
| ~ p4(X_623,X_623)
| ~ p7(X_627,X_622)
| ~ p8(X_627,X_623,X_625)
| p8(X_622,X_623,X_624) ),
inference(subst,[],[p8_23:[bind(X22,$fot(X_622)),bind(X23,$fot(X_623)),bind(X24,$fot(X_624)),bind(X25,$fot(X_625)),bind(X26,$fot(X_623)),bind(X27,$fot(X_627))]]) ).
cnf(refute_0_8,plain,
( ~ p2(X_625,X_624)
| ~ p7(X_627,X_622)
| ~ p8(X_627,X_623,X_625)
| p8(X_622,X_623,X_624) ),
inference(resolve,[$cnf( p4(X_623,X_623) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ p2(X_1568,X_1567)
| ~ p7(X_1565,X_1565)
| ~ p8(X_1565,X_1566,X_1568)
| p8(X_1565,X_1566,X_1567) ),
inference(subst,[],[refute_0_8:[bind(X_622,$fot(X_1565)),bind(X_623,$fot(X_1566)),bind(X_624,$fot(X_1567)),bind(X_625,$fot(X_1568)),bind(X_627,$fot(X_1565))]]) ).
cnf(refute_0_10,plain,
( ~ p2(X_1568,X_1567)
| ~ p8(X_1565,X_1566,X_1568)
| p8(X_1565,X_1566,X_1567) ),
inference(resolve,[$cnf( p7(X_1565,X_1565) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ p2(f3(c15),X_1567)
| ~ p8(c12,c13,f3(c15))
| p8(c12,c13,X_1567) ),
inference(subst,[],[refute_0_10:[bind(X_1565,$fot(c12)),bind(X_1566,$fot(c13)),bind(X_1568,$fot(f3(c15)))]]) ).
cnf(refute_0_12,plain,
( ~ p8(c12,f6(c15),c15)
| ~ p9(c12,X30)
| p8(c12,X30,f3(c15)) ),
inference(subst,[],[p8_22:[bind(X31,$fot(c15))]]) ).
cnf(refute_0_13,plain,
( ~ p11(X29,c16)
| ~ p9(c12,f6(c15))
| p8(c12,f6(c15),X29) ),
inference(subst,[],[p8_16:[bind(X28,$fot(f6(c15)))]]) ).
cnf(refute_0_14,plain,
( ~ p8(c12,f5(c14),f3(c14))
| ~ p9(c12,X30)
| p8(c12,X30,c14) ),
inference(subst,[],[p8_21:[bind(X31,$fot(c14))]]) ).
cnf(refute_0_15,plain,
( ~ p2(f3(c15),c14)
| p2(f3(f3(c15)),f3(c14)) ),
inference(subst,[],[p2_10:[bind(X10,$fot(f3(c15))),bind(X11,$fot(c14))]]) ).
cnf(refute_0_16,plain,
p2(f3(f3(c15)),f3(c14)),
inference(resolve,[$cnf( p2(f3(c15),c14) )],[refute_0_4,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ p9(c12,c13)
| p8(c12,c13,X_14)
| p9(c12,f5(X_14)) ),
inference(subst,[],[p9_17:[bind(X30,$fot(c13)),bind(X31,$fot(X_14))]]) ).
cnf(refute_0_18,plain,
( p8(c12,c13,X_14)
| p9(c12,f5(X_14)) ),
inference(resolve,[$cnf( p9(c12,c13) )],[p9_6,refute_0_17]) ).
cnf(refute_0_19,plain,
( p8(c12,c13,c14)
| p9(c12,f5(c14)) ),
inference(subst,[],[refute_0_18:[bind(X_14,$fot(c14))]]) ).
cnf(refute_0_20,plain,
p9(c12,f5(c14)),
inference(resolve,[$cnf( p8(c12,c13,c14) )],[refute_0_19,not_p8_8]) ).
cnf(refute_0_21,plain,
( ~ p8(c12,f6(f3(c15)),f3(c15))
| ~ p9(c12,X30)
| p8(c12,X30,f3(f3(c15))) ),
inference(subst,[],[p8_22:[bind(X31,$fot(f3(c15)))]]) ).
cnf(refute_0_22,plain,
( ~ p9(c12,f6(f3(c15)))
| p8(c12,f6(f3(c15)),f3(X31))
| p9(c12,f6(X31)) ),
inference(subst,[],[p9_18:[bind(X30,$fot(f6(f3(c15))))]]) ).
cnf(refute_0_23,plain,
p7(c12,c12),
inference(subst,[],[p7_2:[bind(X19,$fot(c12))]]) ).
cnf(refute_0_24,plain,
( ~ p2(c14,f3(c15))
| p4(f6(c14),f6(f3(c15))) ),
inference(subst,[],[p4_9:[bind(X17,$fot(c14)),bind(X18,$fot(f3(c15)))]]) ).
cnf(refute_0_25,plain,
p4(f6(c14),f6(f3(c15))),
inference(resolve,[$cnf( p2(c14,f3(c15)) )],[p2_7,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ p9(c12,f5(c14))
| p8(c12,f5(c14),f3(X_19))
| p9(c12,f6(X_19)) ),
inference(subst,[],[p9_18:[bind(X30,$fot(f5(c14))),bind(X31,$fot(X_19))]]) ).
cnf(refute_0_27,plain,
( p8(c12,f5(c14),f3(X_19))
| p9(c12,f6(X_19)) ),
inference(resolve,[$cnf( p9(c12,f5(c14)) )],[refute_0_20,refute_0_26]) ).
cnf(refute_0_28,plain,
( p8(c12,f5(c14),f3(c14))
| p9(c12,f6(c14)) ),
inference(subst,[],[refute_0_27:[bind(X_19,$fot(c14))]]) ).
cnf(refute_0_29,plain,
( ~ p8(c12,f5(c14),f3(c14))
| ~ p9(c12,X_74)
| p8(c12,X_74,c14) ),
inference(subst,[],[p8_21:[bind(X30,$fot(X_74)),bind(X31,$fot(c14))]]) ).
cnf(refute_0_30,plain,
( ~ p9(c12,X_74)
| p8(c12,X_74,c14)
| p9(c12,f6(c14)) ),
inference(resolve,[$cnf( p8(c12,f5(c14),f3(c14)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ p9(c12,c13)
| p8(c12,c13,c14)
| p9(c12,f6(c14)) ),
inference(subst,[],[refute_0_30:[bind(X_74,$fot(c13))]]) ).
cnf(refute_0_32,plain,
( p8(c12,c13,c14)
| p9(c12,f6(c14)) ),
inference(resolve,[$cnf( p9(c12,c13) )],[p9_6,refute_0_31]) ).
cnf(refute_0_33,plain,
p9(c12,f6(c14)),
inference(resolve,[$cnf( p8(c12,c13,c14) )],[refute_0_32,not_p8_8]) ).
cnf(refute_0_34,plain,
( ~ p4(f6(c14),X_180)
| ~ p7(c12,X_179)
| ~ p9(c12,f6(c14))
| p9(X_179,X_180) ),
inference(subst,[],[p9_19:[bind(X32,$fot(X_179)),bind(X33,$fot(X_180)),bind(X34,$fot(f6(c14))),bind(X35,$fot(c12))]]) ).
cnf(refute_0_35,plain,
( ~ p4(f6(c14),X_180)
| ~ p7(c12,X_179)
| p9(X_179,X_180) ),
inference(resolve,[$cnf( p9(c12,f6(c14)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ p4(f6(c14),f6(f3(c15)))
| ~ p7(c12,X_194)
| p9(X_194,f6(f3(c15))) ),
inference(subst,[],[refute_0_35:[bind(X_179,$fot(X_194)),bind(X_180,$fot(f6(f3(c15))))]]) ).
cnf(refute_0_37,plain,
( ~ p7(c12,X_194)
| p9(X_194,f6(f3(c15))) ),
inference(resolve,[$cnf( p4(f6(c14),f6(f3(c15))) )],[refute_0_25,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ p7(c12,c12)
| p9(c12,f6(f3(c15))) ),
inference(subst,[],[refute_0_37:[bind(X_194,$fot(c12))]]) ).
cnf(refute_0_39,plain,
p9(c12,f6(f3(c15))),
inference(resolve,[$cnf( p7(c12,c12) )],[refute_0_23,refute_0_38]) ).
cnf(refute_0_40,plain,
( p8(c12,f6(f3(c15)),f3(X31))
| p9(c12,f6(X31)) ),
inference(resolve,[$cnf( p9(c12,f6(f3(c15))) )],[refute_0_39,refute_0_22]) ).
cnf(refute_0_41,plain,
( p8(c12,f6(f3(c15)),f3(c15))
| p9(c12,f6(c15)) ),
inference(subst,[],[refute_0_40:[bind(X31,$fot(c15))]]) ).
cnf(refute_0_42,plain,
( ~ p9(c12,X30)
| p8(c12,X30,f3(f3(c15)))
| p9(c12,f6(c15)) ),
inference(resolve,[$cnf( p8(c12,f6(f3(c15)),f3(c15)) )],[refute_0_41,refute_0_21]) ).
cnf(refute_0_43,plain,
( ~ p9(c12,f5(c14))
| p8(c12,f5(c14),f3(f3(c15)))
| p9(c12,f6(c15)) ),
inference(subst,[],[refute_0_42:[bind(X30,$fot(f5(c14)))]]) ).
cnf(refute_0_44,plain,
( p8(c12,f5(c14),f3(f3(c15)))
| p9(c12,f6(c15)) ),
inference(resolve,[$cnf( p9(c12,f5(c14)) )],[refute_0_20,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ p2(f3(f3(c15)),X_1579)
| ~ p8(c12,f5(c14),f3(f3(c15)))
| p8(c12,f5(c14),X_1579) ),
inference(subst,[],[refute_0_10:[bind(X_1565,$fot(c12)),bind(X_1566,$fot(f5(c14))),bind(X_1567,$fot(X_1579)),bind(X_1568,$fot(f3(f3(c15))))]]) ).
cnf(refute_0_46,plain,
( ~ p2(f3(f3(c15)),X_1579)
| p8(c12,f5(c14),X_1579)
| p9(c12,f6(c15)) ),
inference(resolve,[$cnf( p8(c12,f5(c14),f3(f3(c15))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ p2(f3(f3(c15)),f3(c14))
| p8(c12,f5(c14),f3(c14))
| p9(c12,f6(c15)) ),
inference(subst,[],[refute_0_46:[bind(X_1579,$fot(f3(c14)))]]) ).
cnf(refute_0_48,plain,
( p8(c12,f5(c14),f3(c14))
| p9(c12,f6(c15)) ),
inference(resolve,[$cnf( p2(f3(f3(c15)),f3(c14)) )],[refute_0_16,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ p9(c12,X30)
| p8(c12,X30,c14)
| p9(c12,f6(c15)) ),
inference(resolve,[$cnf( p8(c12,f5(c14),f3(c14)) )],[refute_0_48,refute_0_14]) ).
cnf(refute_0_50,plain,
( ~ p9(c12,c13)
| p8(c12,c13,c14)
| p9(c12,f6(c15)) ),
inference(subst,[],[refute_0_49:[bind(X30,$fot(c13))]]) ).
cnf(refute_0_51,plain,
( p8(c12,c13,c14)
| p9(c12,f6(c15)) ),
inference(resolve,[$cnf( p9(c12,c13) )],[p9_6,refute_0_50]) ).
cnf(refute_0_52,plain,
p9(c12,f6(c15)),
inference(resolve,[$cnf( p8(c12,c13,c14) )],[refute_0_51,not_p8_8]) ).
cnf(refute_0_53,plain,
( ~ p11(X29,c16)
| p8(c12,f6(c15),X29) ),
inference(resolve,[$cnf( p9(c12,f6(c15)) )],[refute_0_52,refute_0_13]) ).
cnf(refute_0_54,plain,
( ~ p11(c15,c16)
| p8(c12,f6(c15),c15) ),
inference(subst,[],[refute_0_53:[bind(X29,$fot(c15))]]) ).
cnf(refute_0_55,plain,
p8(c12,f6(c15),c15),
inference(resolve,[$cnf( p11(c15,c16) )],[p11_5,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ p9(c12,X30)
| p8(c12,X30,f3(c15)) ),
inference(resolve,[$cnf( p8(c12,f6(c15),c15) )],[refute_0_55,refute_0_12]) ).
cnf(refute_0_57,plain,
( ~ p9(c12,c13)
| p8(c12,c13,f3(c15)) ),
inference(subst,[],[refute_0_56:[bind(X30,$fot(c13))]]) ).
cnf(refute_0_58,plain,
p8(c12,c13,f3(c15)),
inference(resolve,[$cnf( p9(c12,c13) )],[p9_6,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ p2(f3(c15),X_1567)
| p8(c12,c13,X_1567) ),
inference(resolve,[$cnf( p8(c12,c13,f3(c15)) )],[refute_0_58,refute_0_11]) ).
cnf(refute_0_60,plain,
( ~ p2(f3(c15),c14)
| p8(c12,c13,c14) ),
inference(subst,[],[refute_0_59:[bind(X_1567,$fot(c14))]]) ).
cnf(refute_0_61,plain,
p8(c12,c13,c14),
inference(resolve,[$cnf( p2(f3(c15),c14) )],[refute_0_4,refute_0_60]) ).
cnf(refute_0_62,plain,
$false,
inference(resolve,[$cnf( p8(c12,c13,c14) )],[refute_0_61,not_p8_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN580-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 05:39:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.89/9.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.89/9.09
% 8.89/9.09 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.89/9.10
%------------------------------------------------------------------------------