TSTP Solution File: SYN001-1.005 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 08:58:11 EDT 2022
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 32
% Syntax : Number of clauses : 112 ( 7 unt; 81 nHn; 112 RR)
% Number of literals : 401 ( 0 equ; 160 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ppppp,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| p_5 ) ).
cnf(ppppn,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| ~ p_5 ) ).
cnf(pppnp,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| p_5 ) ).
cnf(pppnn,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(ppnpp,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| p_5 ) ).
cnf(ppnpn,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ) ).
cnf(ppnnp,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ) ).
cnf(ppnnn,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ).
cnf(pnppp,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| p_5 ) ).
cnf(pnppn,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ) ).
cnf(pnpnp,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ) ).
cnf(pnpnn,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(pnnpp,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ) ).
cnf(pnnpn,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ) ).
cnf(pnnnp,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ) ).
cnf(pnnnn,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ).
cnf(npppp,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| p_5 ) ).
cnf(npppn,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| ~ p_5 ) ).
cnf(nppnp,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| p_5 ) ).
cnf(nppnn,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(npnpp,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| p_5 ) ).
cnf(npnpn,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ) ).
cnf(npnnp,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ) ).
cnf(npnnn,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ).
cnf(nnppp,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| p_5 ) ).
cnf(nnppn,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ) ).
cnf(nnpnp,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ) ).
cnf(nnpnn,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(nnnpp,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ) ).
cnf(nnnpn,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ) ).
cnf(nnnnp,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ) ).
cnf(nnnnn,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ).
cnf(refute_0_0,plain,
( p_1
| p_2
| p_3
| p_4 ),
inference(resolve,[$cnf( p_5 )],[ppppp,ppppn]) ).
cnf(refute_0_1,plain,
( p_1
| p_2
| p_3
| p_5 ),
inference(resolve,[$cnf( p_4 )],[refute_0_0,pppnp]) ).
cnf(refute_0_2,plain,
( ~ p_4
| p_1
| p_2
| p_3 ),
inference(resolve,[$cnf( p_5 )],[refute_0_1,pppnn]) ).
cnf(refute_0_3,plain,
( p_1
| p_2
| p_3 ),
inference(resolve,[$cnf( p_4 )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( p_1
| p_2
| p_4
| p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_3,ppnpp]) ).
cnf(refute_0_5,plain,
( ~ p_3
| p_1
| p_2
| p_4 ),
inference(resolve,[$cnf( p_5 )],[refute_0_4,ppnpn]) ).
cnf(refute_0_6,plain,
( p_1
| p_2
| p_4 ),
inference(resolve,[$cnf( p_3 )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ p_3
| p_1
| p_2
| p_5 ),
inference(resolve,[$cnf( p_4 )],[refute_0_6,ppnnp]) ).
cnf(refute_0_8,plain,
( p_1
| p_2
| p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ p_3
| ~ p_4
| p_1
| p_2 ),
inference(resolve,[$cnf( p_5 )],[refute_0_8,ppnnn]) ).
cnf(refute_0_10,plain,
( ~ p_3
| p_1
| p_2 ),
inference(resolve,[$cnf( p_4 )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( p_1
| p_2 ),
inference(resolve,[$cnf( p_3 )],[refute_0_3,refute_0_10]) ).
cnf(refute_0_12,plain,
( p_1
| p_3
| p_4
| p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_11,pnppp]) ).
cnf(refute_0_13,plain,
( ~ p_2
| p_1
| p_3
| p_4 ),
inference(resolve,[$cnf( p_5 )],[refute_0_12,pnppn]) ).
cnf(refute_0_14,plain,
( p_1
| p_3
| p_4 ),
inference(resolve,[$cnf( p_2 )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ p_2
| p_1
| p_3
| p_5 ),
inference(resolve,[$cnf( p_4 )],[refute_0_14,pnpnp]) ).
cnf(refute_0_16,plain,
( p_1
| p_3
| p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ p_2
| ~ p_4
| p_1
| p_3 ),
inference(resolve,[$cnf( p_5 )],[refute_0_16,pnpnn]) ).
cnf(refute_0_18,plain,
( ~ p_2
| p_1
| p_3 ),
inference(resolve,[$cnf( p_4 )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
( p_1
| p_3 ),
inference(resolve,[$cnf( p_2 )],[refute_0_11,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ p_2
| p_1
| p_4
| p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_19,pnnpp]) ).
cnf(refute_0_21,plain,
( p_1
| p_4
| p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_11,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ p_2
| ~ p_3
| p_1
| p_4 ),
inference(resolve,[$cnf( p_5 )],[refute_0_21,pnnpn]) ).
cnf(refute_0_23,plain,
( ~ p_2
| p_1
| p_4 ),
inference(resolve,[$cnf( p_3 )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( p_1
| p_4 ),
inference(resolve,[$cnf( p_2 )],[refute_0_11,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ p_2
| ~ p_3
| p_1
| p_5 ),
inference(resolve,[$cnf( p_4 )],[refute_0_24,pnnnp]) ).
cnf(refute_0_26,plain,
( ~ p_2
| p_1
| p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_19,refute_0_25]) ).
cnf(refute_0_27,plain,
( p_1
| p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_11,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ p_2
| ~ p_3
| ~ p_4
| p_1 ),
inference(resolve,[$cnf( p_5 )],[refute_0_27,pnnnn]) ).
cnf(refute_0_29,plain,
( ~ p_2
| ~ p_3
| p_1 ),
inference(resolve,[$cnf( p_4 )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ p_2
| p_1 ),
inference(resolve,[$cnf( p_3 )],[refute_0_19,refute_0_29]) ).
cnf(refute_0_31,plain,
p_1,
inference(resolve,[$cnf( p_2 )],[refute_0_11,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nnnnn]) ).
cnf(refute_0_33,plain,
( p_2
| p_3
| p_4
| p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,npppp]) ).
cnf(refute_0_34,plain,
( ~ p_5
| p_2
| p_3
| p_4 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,npppn]) ).
cnf(refute_0_35,plain,
( p_2
| p_3
| p_4 ),
inference(resolve,[$cnf( p_5 )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ p_4
| p_2
| p_3
| p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nppnp]) ).
cnf(refute_0_37,plain,
( p_2
| p_3
| p_5 ),
inference(resolve,[$cnf( p_4 )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ p_4
| ~ p_5
| p_2
| p_3 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nppnn]) ).
cnf(refute_0_39,plain,
( ~ p_4
| p_2
| p_3 ),
inference(resolve,[$cnf( p_5 )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( p_2
| p_3 ),
inference(resolve,[$cnf( p_4 )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ p_3
| p_2
| p_4
| p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,npnpp]) ).
cnf(refute_0_42,plain,
( p_2
| p_4
| p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ p_3
| ~ p_5
| p_2
| p_4 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,npnpn]) ).
cnf(refute_0_44,plain,
( ~ p_3
| p_2
| p_4 ),
inference(resolve,[$cnf( p_5 )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( p_2
| p_4 ),
inference(resolve,[$cnf( p_3 )],[refute_0_40,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ p_3
| ~ p_4
| p_2
| p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,npnnp]) ).
cnf(refute_0_47,plain,
( ~ p_3
| p_2
| p_5 ),
inference(resolve,[$cnf( p_4 )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( p_2
| p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_40,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ p_3
| ~ p_4
| ~ p_5
| p_2 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,npnnn]) ).
cnf(refute_0_50,plain,
( ~ p_3
| ~ p_4
| p_2 ),
inference(resolve,[$cnf( p_5 )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ p_3
| p_2 ),
inference(resolve,[$cnf( p_4 )],[refute_0_45,refute_0_50]) ).
cnf(refute_0_52,plain,
p_2,
inference(resolve,[$cnf( p_3 )],[refute_0_40,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ p_3
| ~ p_4
| ~ p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_52,refute_0_32]) ).
cnf(refute_0_54,plain,
( ~ p_2
| p_3
| p_4
| p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nnppp]) ).
cnf(refute_0_55,plain,
( p_3
| p_4
| p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_52,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ p_2
| ~ p_5
| p_3
| p_4 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nnppn]) ).
cnf(refute_0_57,plain,
( ~ p_5
| p_3
| p_4 ),
inference(resolve,[$cnf( p_2 )],[refute_0_52,refute_0_56]) ).
cnf(refute_0_58,plain,
( p_3
| p_4 ),
inference(resolve,[$cnf( p_5 )],[refute_0_55,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ p_2
| ~ p_4
| p_3
| p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nnpnp]) ).
cnf(refute_0_60,plain,
( ~ p_4
| p_3
| p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_52,refute_0_59]) ).
cnf(refute_0_61,plain,
( p_3
| p_5 ),
inference(resolve,[$cnf( p_4 )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ p_2
| ~ p_4
| ~ p_5
| p_3 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nnpnn]) ).
cnf(refute_0_63,plain,
( ~ p_4
| ~ p_5
| p_3 ),
inference(resolve,[$cnf( p_2 )],[refute_0_52,refute_0_62]) ).
cnf(refute_0_64,plain,
( ~ p_4
| p_3 ),
inference(resolve,[$cnf( p_5 )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
p_3,
inference(resolve,[$cnf( p_4 )],[refute_0_58,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ p_4
| ~ p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_65,refute_0_53]) ).
cnf(refute_0_67,plain,
( ~ p_2
| ~ p_3
| p_4
| p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nnnpp]) ).
cnf(refute_0_68,plain,
( ~ p_3
| p_4
| p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_52,refute_0_67]) ).
cnf(refute_0_69,plain,
( p_4
| p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ p_2
| ~ p_3
| ~ p_5
| p_4 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nnnpn]) ).
cnf(refute_0_71,plain,
( ~ p_3
| ~ p_5
| p_4 ),
inference(resolve,[$cnf( p_2 )],[refute_0_52,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ p_5
| p_4 ),
inference(resolve,[$cnf( p_3 )],[refute_0_65,refute_0_71]) ).
cnf(refute_0_73,plain,
p_4,
inference(resolve,[$cnf( p_5 )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
~ p_5,
inference(resolve,[$cnf( p_4 )],[refute_0_73,refute_0_66]) ).
cnf(refute_0_75,plain,
( ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
inference(resolve,[$cnf( p_1 )],[refute_0_31,nnnnp]) ).
cnf(refute_0_76,plain,
( ~ p_3
| ~ p_4
| p_5 ),
inference(resolve,[$cnf( p_2 )],[refute_0_52,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ p_4
| p_5 ),
inference(resolve,[$cnf( p_3 )],[refute_0_65,refute_0_76]) ).
cnf(refute_0_78,plain,
p_5,
inference(resolve,[$cnf( p_4 )],[refute_0_73,refute_0_77]) ).
cnf(refute_0_79,plain,
$false,
inference(resolve,[$cnf( p_5 )],[refute_0_78,refute_0_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.16 % Problem : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.16 % Command : metis --show proof --show saturation %s
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 600
% 0.13/0.38 % DateTime : Tue Jul 12 06:51:14 EDT 2022
% 0.13/0.38 % CPUTime :
% 0.13/0.39 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.41
%------------------------------------------------------------------------------