TSTP Solution File: SYN090-1.008 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 08:59:30 EDT 2022
% Result : Unsatisfiable 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of clauses : 72 ( 27 unt; 0 nHn; 72 RR)
% Number of literals : 139 ( 0 equ; 69 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 26 ( 25 usr; 26 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s3_goal_1,negated_conjecture,
( ~ p_0
| ~ q_0 ) ).
cnf(s3_type11_1,axiom,
( p_0
| ~ p_1
| ~ p_2 ) ).
cnf(s3_type11_3,axiom,
( p_1
| ~ p_2
| ~ p_3 ) ).
cnf(s3_type11_5,axiom,
( p_2
| ~ p_3
| ~ p_4 ) ).
cnf(s3_type11_7,axiom,
( p_3
| ~ p_4
| ~ p_5 ) ).
cnf(s3_type11_9,axiom,
( p_4
| ~ p_5
| ~ p_6 ) ).
cnf(s3_type11_11,axiom,
( p_5
| ~ p_6
| ~ p_7 ) ).
cnf(s3_type11_13,axiom,
( p_6
| ~ p_7
| ~ p_8 ) ).
cnf(s3_type11_15,axiom,
( p_7
| ~ p_8
| ~ p_9 ) ).
cnf(s3_type11_17,axiom,
( p_8
| ~ p_9
| ~ p_10 ) ).
cnf(s3_type11_19,axiom,
( p_9
| ~ p_10
| ~ p_11 ) ).
cnf(s3_type11_22,axiom,
( p_10
| ~ q_11
| ~ q_12 ) ).
cnf(s3_type11_23,axiom,
( p_11
| ~ p_12
| ~ p_13 ) ).
cnf(s3_type11_25,axiom,
( p_12
| ~ p_13
| ~ p_14 ) ).
cnf(s3_type11_27,axiom,
( p_13
| ~ p_14
| ~ p_15 ) ).
cnf(s3_type12_2,axiom,
( q_0
| ~ q_1
| ~ p_2 ) ).
cnf(s3_type12_3,axiom,
( q_1
| ~ p_2
| ~ q_3 ) ).
cnf(s3_type12_7,axiom,
( q_3
| ~ p_4
| ~ q_5 ) ).
cnf(s3_type12_11,axiom,
( q_5
| ~ p_6
| ~ q_7 ) ).
cnf(s3_type12_15,axiom,
( q_7
| ~ p_8
| ~ q_9 ) ).
cnf(s3_type12_19,axiom,
( q_9
| ~ p_10
| ~ q_11 ) ).
cnf(s3_type12_24,axiom,
( q_11
| ~ q_12
| ~ p_13 ) ).
cnf(s3_type12_25,axiom,
( q_12
| ~ p_13
| ~ q_14 ) ).
cnf(t3_1,axiom,
p_14 ).
cnf(t3_2,axiom,
p_15 ).
cnf(t3_3,axiom,
q_14 ).
cnf(refute_0_0,plain,
( ~ p_15
| p_13 ),
inference(resolve,[$cnf( p_14 )],[t3_1,s3_type11_27]) ).
cnf(refute_0_1,plain,
p_13,
inference(resolve,[$cnf( p_15 )],[t3_2,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ q_12
| q_11 ),
inference(resolve,[$cnf( p_13 )],[refute_0_1,s3_type12_24]) ).
cnf(refute_0_3,plain,
( ~ q_14
| q_12 ),
inference(resolve,[$cnf( p_13 )],[refute_0_1,s3_type12_25]) ).
cnf(refute_0_4,plain,
q_12,
inference(resolve,[$cnf( q_14 )],[t3_3,refute_0_3]) ).
cnf(refute_0_5,plain,
q_11,
inference(resolve,[$cnf( q_12 )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
( ~ q_12
| p_10 ),
inference(resolve,[$cnf( q_11 )],[refute_0_5,s3_type11_22]) ).
cnf(refute_0_7,plain,
p_10,
inference(resolve,[$cnf( q_12 )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ p_9
| p_8 ),
inference(resolve,[$cnf( p_10 )],[refute_0_7,s3_type11_17]) ).
cnf(refute_0_9,plain,
( ~ p_11
| p_9 ),
inference(resolve,[$cnf( p_10 )],[refute_0_7,s3_type11_19]) ).
cnf(refute_0_10,plain,
( ~ p_13
| p_12 ),
inference(resolve,[$cnf( p_14 )],[t3_1,s3_type11_25]) ).
cnf(refute_0_11,plain,
p_12,
inference(resolve,[$cnf( p_13 )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ p_13
| p_11 ),
inference(resolve,[$cnf( p_12 )],[refute_0_11,s3_type11_23]) ).
cnf(refute_0_13,plain,
p_11,
inference(resolve,[$cnf( p_13 )],[refute_0_1,refute_0_12]) ).
cnf(refute_0_14,plain,
p_9,
inference(resolve,[$cnf( p_11 )],[refute_0_13,refute_0_9]) ).
cnf(refute_0_15,plain,
p_8,
inference(resolve,[$cnf( p_9 )],[refute_0_14,refute_0_8]) ).
cnf(refute_0_16,plain,
( ~ p_7
| p_6 ),
inference(resolve,[$cnf( p_8 )],[refute_0_15,s3_type11_13]) ).
cnf(refute_0_17,plain,
( ~ p_8
| p_7 ),
inference(resolve,[$cnf( p_9 )],[refute_0_14,s3_type11_15]) ).
cnf(refute_0_18,plain,
p_7,
inference(resolve,[$cnf( p_8 )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
p_6,
inference(resolve,[$cnf( p_7 )],[refute_0_18,refute_0_16]) ).
cnf(refute_0_20,plain,
( ~ p_5
| p_4 ),
inference(resolve,[$cnf( p_6 )],[refute_0_19,s3_type11_9]) ).
cnf(refute_0_21,plain,
( ~ p_6
| p_5 ),
inference(resolve,[$cnf( p_7 )],[refute_0_18,s3_type11_11]) ).
cnf(refute_0_22,plain,
p_5,
inference(resolve,[$cnf( p_6 )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
p_4,
inference(resolve,[$cnf( p_5 )],[refute_0_22,refute_0_20]) ).
cnf(refute_0_24,plain,
( ~ p_3
| p_2 ),
inference(resolve,[$cnf( p_4 )],[refute_0_23,s3_type11_5]) ).
cnf(refute_0_25,plain,
( ~ p_4
| p_3 ),
inference(resolve,[$cnf( p_5 )],[refute_0_22,s3_type11_7]) ).
cnf(refute_0_26,plain,
p_3,
inference(resolve,[$cnf( p_4 )],[refute_0_23,refute_0_25]) ).
cnf(refute_0_27,plain,
p_2,
inference(resolve,[$cnf( p_3 )],[refute_0_26,refute_0_24]) ).
cnf(refute_0_28,plain,
( ~ q_1
| q_0 ),
inference(resolve,[$cnf( p_2 )],[refute_0_27,s3_type12_2]) ).
cnf(refute_0_29,plain,
( ~ q_3
| q_1 ),
inference(resolve,[$cnf( p_2 )],[refute_0_27,s3_type12_3]) ).
cnf(refute_0_30,plain,
( ~ q_5
| q_3 ),
inference(resolve,[$cnf( p_4 )],[refute_0_23,s3_type12_7]) ).
cnf(refute_0_31,plain,
( ~ q_7
| q_5 ),
inference(resolve,[$cnf( p_6 )],[refute_0_19,s3_type12_11]) ).
cnf(refute_0_32,plain,
( ~ q_11
| q_9 ),
inference(resolve,[$cnf( p_10 )],[refute_0_7,s3_type12_19]) ).
cnf(refute_0_33,plain,
q_9,
inference(resolve,[$cnf( q_11 )],[refute_0_5,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ p_8
| q_7 ),
inference(resolve,[$cnf( q_9 )],[refute_0_33,s3_type12_15]) ).
cnf(refute_0_35,plain,
q_7,
inference(resolve,[$cnf( p_8 )],[refute_0_15,refute_0_34]) ).
cnf(refute_0_36,plain,
q_5,
inference(resolve,[$cnf( q_7 )],[refute_0_35,refute_0_31]) ).
cnf(refute_0_37,plain,
q_3,
inference(resolve,[$cnf( q_5 )],[refute_0_36,refute_0_30]) ).
cnf(refute_0_38,plain,
q_1,
inference(resolve,[$cnf( q_3 )],[refute_0_37,refute_0_29]) ).
cnf(refute_0_39,plain,
q_0,
inference(resolve,[$cnf( q_1 )],[refute_0_38,refute_0_28]) ).
cnf(refute_0_40,plain,
~ p_0,
inference(resolve,[$cnf( q_0 )],[refute_0_39,s3_goal_1]) ).
cnf(refute_0_41,plain,
( ~ p_1
| p_0 ),
inference(resolve,[$cnf( p_2 )],[refute_0_27,s3_type11_1]) ).
cnf(refute_0_42,plain,
( ~ p_2
| p_1 ),
inference(resolve,[$cnf( p_3 )],[refute_0_26,s3_type11_3]) ).
cnf(refute_0_43,plain,
p_1,
inference(resolve,[$cnf( p_2 )],[refute_0_27,refute_0_42]) ).
cnf(refute_0_44,plain,
p_0,
inference(resolve,[$cnf( p_1 )],[refute_0_43,refute_0_41]) ).
cnf(refute_0_45,plain,
$false,
inference(resolve,[$cnf( p_0 )],[refute_0_44,refute_0_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.15 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 16:32:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38
% 0.15/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.38
%------------------------------------------------------------------------------