TSTP Solution File: SYN094-1.005 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 08:59:31 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 32
% Syntax : Number of clauses : 74 ( 18 unt; 39 nHn; 74 RR)
% Number of literals : 167 ( 0 equ; 57 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 32 ( 31 usr; 32 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(u_s3_goal_1,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ) ).
cnf(u_1_s3_goal_1,axiom,
~ u_1 ).
cnf(u_s3_type11_1,axiom,
( u_2
| p_0
| ~ p_1
| ~ p_2 ) ).
cnf(u_2_s3_type11_1,axiom,
( p_0
| ~ u_2 ) ).
cnf(u_s3_type11_3,axiom,
( u_4
| p_1
| ~ p_2
| ~ p_3 ) ).
cnf(u_4_s3_type11_3,axiom,
( p_1
| ~ u_4 ) ).
cnf(u_s3_type11_5,axiom,
( u_6
| p_2
| ~ p_3
| ~ p_4 ) ).
cnf(u_6_s3_type11_5,axiom,
( p_2
| ~ u_6 ) ).
cnf(u_s3_type11_7,axiom,
( u_8
| p_3
| ~ p_4
| ~ p_5 ) ).
cnf(u_8_s3_type11_7,axiom,
( p_3
| ~ u_8 ) ).
cnf(u_s3_type11_9,axiom,
( u_10
| p_4
| ~ p_5
| ~ p_6 ) ).
cnf(u_10_s3_type11_9,axiom,
( p_4
| ~ u_10 ) ).
cnf(u_s3_type11_11,axiom,
( u_12
| p_5
| ~ p_6
| ~ p_7 ) ).
cnf(u_12_s3_type11_11,axiom,
( p_5
| ~ u_12 ) ).
cnf(u_s3_type11_13,axiom,
( u_14
| p_6
| ~ p_7
| ~ p_8 ) ).
cnf(u_14_s3_type11_13,axiom,
( p_6
| ~ u_14 ) ).
cnf(u_s3_type11_15,axiom,
( u_16
| p_7
| ~ p_8
| ~ p_9 ) ).
cnf(u_16_s3_type11_15,axiom,
( p_7
| ~ u_16 ) ).
cnf(u_s3_type12_1,axiom,
( u_18
| q_0
| ~ p_1
| ~ q_2 ) ).
cnf(u_18_s3_type12_1,axiom,
( q_0
| ~ u_18 ) ).
cnf(u_s3_type12_5,axiom,
( u_22
| q_2
| ~ p_3
| ~ q_4 ) ).
cnf(u_22_s3_type12_5,axiom,
( q_2
| ~ u_22 ) ).
cnf(u_s3_type12_9,axiom,
( u_26
| q_4
| ~ p_5
| ~ q_6 ) ).
cnf(u_26_s3_type12_9,axiom,
( q_4
| ~ u_26 ) ).
cnf(u_s3_type12_13,axiom,
( u_30
| q_6
| ~ p_7
| ~ q_8 ) ).
cnf(u_30_s3_type12_13,axiom,
( q_6
| ~ u_30 ) ).
cnf(u_t3_1,axiom,
( u_38
| p_8 ) ).
cnf(u_38_t3_1,axiom,
( p_8
| ~ u_38 ) ).
cnf(u_t3_2,axiom,
( u_39
| p_9 ) ).
cnf(u_39_t3_2,axiom,
( p_9
| ~ u_39 ) ).
cnf(u_t3_3,axiom,
( u_40
| q_8 ) ).
cnf(u_40_t3_3,axiom,
( q_8
| ~ u_40 ) ).
cnf(refute_0_0,plain,
( ~ p_0
| ~ q_0 ),
inference(resolve,[$cnf( u_1 )],[u_s3_goal_1,u_1_s3_goal_1]) ).
cnf(refute_0_1,plain,
p_8,
inference(resolve,[$cnf( u_38 )],[u_t3_1,u_38_t3_1]) ).
cnf(refute_0_2,plain,
( ~ p_9
| p_7
| u_16 ),
inference(resolve,[$cnf( p_8 )],[refute_0_1,u_s3_type11_15]) ).
cnf(refute_0_3,plain,
p_9,
inference(resolve,[$cnf( u_39 )],[u_t3_2,u_39_t3_2]) ).
cnf(refute_0_4,plain,
( p_7
| u_16 ),
inference(resolve,[$cnf( p_9 )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
p_7,
inference(resolve,[$cnf( u_16 )],[refute_0_4,u_16_s3_type11_15]) ).
cnf(refute_0_6,plain,
( ~ p_6
| p_5
| u_12 ),
inference(resolve,[$cnf( p_7 )],[refute_0_5,u_s3_type11_11]) ).
cnf(refute_0_7,plain,
( ~ p_7
| p_6
| u_14 ),
inference(resolve,[$cnf( p_8 )],[refute_0_1,u_s3_type11_13]) ).
cnf(refute_0_8,plain,
( p_6
| u_14 ),
inference(resolve,[$cnf( p_7 )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
p_6,
inference(resolve,[$cnf( u_14 )],[refute_0_8,u_14_s3_type11_13]) ).
cnf(refute_0_10,plain,
( p_5
| u_12 ),
inference(resolve,[$cnf( p_6 )],[refute_0_9,refute_0_6]) ).
cnf(refute_0_11,plain,
p_5,
inference(resolve,[$cnf( u_12 )],[refute_0_10,u_12_s3_type11_11]) ).
cnf(refute_0_12,plain,
( ~ p_4
| p_3
| u_8 ),
inference(resolve,[$cnf( p_5 )],[refute_0_11,u_s3_type11_7]) ).
cnf(refute_0_13,plain,
( ~ p_5
| p_4
| u_10 ),
inference(resolve,[$cnf( p_6 )],[refute_0_9,u_s3_type11_9]) ).
cnf(refute_0_14,plain,
( p_4
| u_10 ),
inference(resolve,[$cnf( p_5 )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
p_4,
inference(resolve,[$cnf( u_10 )],[refute_0_14,u_10_s3_type11_9]) ).
cnf(refute_0_16,plain,
( p_3
| u_8 ),
inference(resolve,[$cnf( p_4 )],[refute_0_15,refute_0_12]) ).
cnf(refute_0_17,plain,
p_3,
inference(resolve,[$cnf( u_8 )],[refute_0_16,u_8_s3_type11_7]) ).
cnf(refute_0_18,plain,
( ~ p_2
| p_1
| u_4 ),
inference(resolve,[$cnf( p_3 )],[refute_0_17,u_s3_type11_3]) ).
cnf(refute_0_19,plain,
( ~ p_3
| p_2
| u_6 ),
inference(resolve,[$cnf( p_4 )],[refute_0_15,u_s3_type11_5]) ).
cnf(refute_0_20,plain,
( p_2
| u_6 ),
inference(resolve,[$cnf( p_3 )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
p_2,
inference(resolve,[$cnf( u_6 )],[refute_0_20,u_6_s3_type11_5]) ).
cnf(refute_0_22,plain,
( p_1
| u_4 ),
inference(resolve,[$cnf( p_2 )],[refute_0_21,refute_0_18]) ).
cnf(refute_0_23,plain,
p_1,
inference(resolve,[$cnf( u_4 )],[refute_0_22,u_4_s3_type11_3]) ).
cnf(refute_0_24,plain,
( ~ q_2
| q_0
| u_18 ),
inference(resolve,[$cnf( p_1 )],[refute_0_23,u_s3_type12_1]) ).
cnf(refute_0_25,plain,
( ~ q_4
| q_2
| u_22 ),
inference(resolve,[$cnf( p_3 )],[refute_0_17,u_s3_type12_5]) ).
cnf(refute_0_26,plain,
( ~ q_6
| q_4
| u_26 ),
inference(resolve,[$cnf( p_5 )],[refute_0_11,u_s3_type12_9]) ).
cnf(refute_0_27,plain,
( ~ q_8
| q_6
| u_30 ),
inference(resolve,[$cnf( p_7 )],[refute_0_5,u_s3_type12_13]) ).
cnf(refute_0_28,plain,
q_8,
inference(resolve,[$cnf( u_40 )],[u_t3_3,u_40_t3_3]) ).
cnf(refute_0_29,plain,
( q_6
| u_30 ),
inference(resolve,[$cnf( q_8 )],[refute_0_28,refute_0_27]) ).
cnf(refute_0_30,plain,
q_6,
inference(resolve,[$cnf( u_30 )],[refute_0_29,u_30_s3_type12_13]) ).
cnf(refute_0_31,plain,
( q_4
| u_26 ),
inference(resolve,[$cnf( q_6 )],[refute_0_30,refute_0_26]) ).
cnf(refute_0_32,plain,
q_4,
inference(resolve,[$cnf( u_26 )],[refute_0_31,u_26_s3_type12_9]) ).
cnf(refute_0_33,plain,
( q_2
| u_22 ),
inference(resolve,[$cnf( q_4 )],[refute_0_32,refute_0_25]) ).
cnf(refute_0_34,plain,
q_2,
inference(resolve,[$cnf( u_22 )],[refute_0_33,u_22_s3_type12_5]) ).
cnf(refute_0_35,plain,
( q_0
| u_18 ),
inference(resolve,[$cnf( q_2 )],[refute_0_34,refute_0_24]) ).
cnf(refute_0_36,plain,
q_0,
inference(resolve,[$cnf( u_18 )],[refute_0_35,u_18_s3_type12_1]) ).
cnf(refute_0_37,plain,
~ p_0,
inference(resolve,[$cnf( q_0 )],[refute_0_36,refute_0_0]) ).
cnf(refute_0_38,plain,
( ~ p_1
| p_0
| u_2 ),
inference(resolve,[$cnf( p_2 )],[refute_0_21,u_s3_type11_1]) ).
cnf(refute_0_39,plain,
( p_0
| u_2 ),
inference(resolve,[$cnf( p_1 )],[refute_0_23,refute_0_38]) ).
cnf(refute_0_40,plain,
p_0,
inference(resolve,[$cnf( u_2 )],[refute_0_39,u_2_s3_type11_1]) ).
cnf(refute_0_41,plain,
$false,
inference(resolve,[$cnf( p_0 )],[refute_0_40,refute_0_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 12:30:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------