TSTP Solution File: SYN102-1.007.007 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 08:59:38 EDT 2022
% Result : Unsatisfiable 0.48s 0.66s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 31
% Syntax : Number of clauses : 135 ( 32 unt; 0 nHn; 135 RR)
% Number of literals : 404 ( 0 equ; 271 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-7 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 287 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(n_s3_goal_1,negated_conjecture,
( ~ p_0(a,a,a,a,a,a,a)
| ~ q_0(a,a,a,a,a,a,a) ) ).
cnf(n_s3_type11_1,axiom,
( p_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_3,axiom,
( p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_5,axiom,
( p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_7,axiom,
( p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_9,axiom,
( p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_11,axiom,
( p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_13,axiom,
( p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_15,axiom,
( p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_17,axiom,
( p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_19,axiom,
( p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_21,axiom,
( p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type11_23,axiom,
( p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type12_2,axiom,
( q_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type12_3,axiom,
( q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type12_8,axiom,
( q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type12_9,axiom,
( q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type12_14,axiom,
( q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type12_15,axiom,
( q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type12_19,axiom,
( q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_s3_type12_23,axiom,
( q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
cnf(n_t3_1,axiom,
( p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ nq_1(X_1)
| ~ nq_2(X_2)
| ~ nq_3(X_3)
| ~ nq_4(X_4)
| ~ nq_5(X_5)
| ~ nq_6(X_6)
| ~ nq_7(X_7) ) ).
cnf(n_t3_2,axiom,
( p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ nq_1(X_1)
| ~ nq_2(X_2)
| ~ nq_3(X_3)
| ~ nq_4(X_4)
| ~ nq_5(X_5)
| ~ nq_6(X_6)
| ~ nq_7(X_7) ) ).
cnf(n_t3_4,axiom,
( q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| ~ nq_1(X_1)
| ~ nq_2(X_2)
| ~ nq_3(X_3)
| ~ nq_4(X_4)
| ~ nq_5(X_5)
| ~ nq_6(X_6)
| ~ nq_7(X_7) ) ).
cnf(n_1,axiom,
nq_1(a) ).
cnf(n_3,axiom,
nq_2(a) ).
cnf(n_5,axiom,
nq_3(a) ).
cnf(n_7,axiom,
nq_4(a) ).
cnf(n_9,axiom,
nq_5(a) ).
cnf(n_11,axiom,
nq_6(a) ).
cnf(n_13,axiom,
nq_7(a) ).
cnf(refute_0_0,plain,
( ~ p_2(a,a,a,a,a,a,a)
| ~ q_1(a,a,a,a,a,a,a)
| q_0(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type12_2:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_1,plain,
( ~ p_2(a,a,a,a,a,a,a)
| ~ q_3(a,a,a,a,a,a,a)
| q_1(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type12_3:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_2,plain,
( ~ p_5(a,a,a,a,a,a,a)
| ~ q_4(a,a,a,a,a,a,a)
| q_3(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type12_8:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_3,plain,
( ~ p_5(a,a,a,a,a,a,a)
| ~ q_6(a,a,a,a,a,a,a)
| q_4(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type12_9:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_4,plain,
( ~ p_8(a,a,a,a,a,a,a)
| ~ q_7(a,a,a,a,a,a,a)
| q_6(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type12_14:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_5,plain,
( ~ p_8(a,a,a,a,a,a,a)
| ~ q_9(a,a,a,a,a,a,a)
| q_7(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type12_15:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_6,plain,
( ~ p_10(a,a,a,a,a,a,a)
| ~ q_11(a,a,a,a,a,a,a)
| q_9(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type12_19:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_7,plain,
( ~ p_12(a,a,a,a,a,a,a)
| ~ q_13(a,a,a,a,a,a,a)
| q_11(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type12_23:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_8,plain,
( ~ nq_1(X_858)
| ~ nq_2(X_859)
| ~ nq_3(X_860)
| ~ nq_4(X_861)
| ~ nq_5(X_862)
| ~ nq_6(X_863)
| ~ nq_7(a)
| q_13(X_858,X_859,X_860,X_861,X_862,X_863,a) ),
inference(subst,[],[n_t3_4:[bind(X_1,$fot(X_858)),bind(X_2,$fot(X_859)),bind(X_3,$fot(X_860)),bind(X_4,$fot(X_861)),bind(X_5,$fot(X_862)),bind(X_6,$fot(X_863)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_9,plain,
( ~ nq_1(X_858)
| ~ nq_2(X_859)
| ~ nq_3(X_860)
| ~ nq_4(X_861)
| ~ nq_5(X_862)
| ~ nq_6(X_863)
| q_13(X_858,X_859,X_860,X_861,X_862,X_863,a) ),
inference(resolve,[$cnf( nq_7(a) )],[n_13,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ nq_1(X_865)
| ~ nq_2(X_866)
| ~ nq_3(X_867)
| ~ nq_4(X_868)
| ~ nq_5(X_869)
| ~ nq_6(a)
| q_13(X_865,X_866,X_867,X_868,X_869,a,a) ),
inference(subst,[],[refute_0_9:[bind(X_858,$fot(X_865)),bind(X_859,$fot(X_866)),bind(X_860,$fot(X_867)),bind(X_861,$fot(X_868)),bind(X_862,$fot(X_869)),bind(X_863,$fot(a))]]) ).
cnf(refute_0_11,plain,
( ~ nq_1(X_865)
| ~ nq_2(X_866)
| ~ nq_3(X_867)
| ~ nq_4(X_868)
| ~ nq_5(X_869)
| q_13(X_865,X_866,X_867,X_868,X_869,a,a) ),
inference(resolve,[$cnf( nq_6(a) )],[n_11,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ nq_1(X_871)
| ~ nq_2(X_872)
| ~ nq_3(X_873)
| ~ nq_4(X_874)
| ~ nq_5(a)
| q_13(X_871,X_872,X_873,X_874,a,a,a) ),
inference(subst,[],[refute_0_11:[bind(X_865,$fot(X_871)),bind(X_866,$fot(X_872)),bind(X_867,$fot(X_873)),bind(X_868,$fot(X_874)),bind(X_869,$fot(a))]]) ).
cnf(refute_0_13,plain,
( ~ nq_1(X_871)
| ~ nq_2(X_872)
| ~ nq_3(X_873)
| ~ nq_4(X_874)
| q_13(X_871,X_872,X_873,X_874,a,a,a) ),
inference(resolve,[$cnf( nq_5(a) )],[n_9,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ nq_1(X_876)
| ~ nq_2(X_877)
| ~ nq_3(X_878)
| ~ nq_4(a)
| q_13(X_876,X_877,X_878,a,a,a,a) ),
inference(subst,[],[refute_0_13:[bind(X_871,$fot(X_876)),bind(X_872,$fot(X_877)),bind(X_873,$fot(X_878)),bind(X_874,$fot(a))]]) ).
cnf(refute_0_15,plain,
( ~ nq_1(X_876)
| ~ nq_2(X_877)
| ~ nq_3(X_878)
| q_13(X_876,X_877,X_878,a,a,a,a) ),
inference(resolve,[$cnf( nq_4(a) )],[n_7,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ nq_1(X_880)
| ~ nq_2(X_881)
| ~ nq_3(a)
| q_13(X_880,X_881,a,a,a,a,a) ),
inference(subst,[],[refute_0_15:[bind(X_876,$fot(X_880)),bind(X_877,$fot(X_881)),bind(X_878,$fot(a))]]) ).
cnf(refute_0_17,plain,
( ~ nq_1(X_880)
| ~ nq_2(X_881)
| q_13(X_880,X_881,a,a,a,a,a) ),
inference(resolve,[$cnf( nq_3(a) )],[n_5,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ nq_1(X_883)
| ~ nq_2(a)
| q_13(X_883,a,a,a,a,a,a) ),
inference(subst,[],[refute_0_17:[bind(X_880,$fot(X_883)),bind(X_881,$fot(a))]]) ).
cnf(refute_0_19,plain,
( ~ nq_1(X_883)
| q_13(X_883,a,a,a,a,a,a) ),
inference(resolve,[$cnf( nq_2(a) )],[n_3,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ nq_1(a)
| q_13(a,a,a,a,a,a,a) ),
inference(subst,[],[refute_0_19:[bind(X_883,$fot(a))]]) ).
cnf(refute_0_21,plain,
q_13(a,a,a,a,a,a,a),
inference(resolve,[$cnf( nq_1(a) )],[n_1,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ p_12(a,a,a,a,a,a,a)
| q_11(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( q_13(a,a,a,a,a,a,a) )],[refute_0_21,refute_0_7]) ).
cnf(refute_0_23,plain,
( ~ nq_1(X_364)
| ~ nq_2(X_365)
| ~ nq_3(X_366)
| ~ nq_4(X_367)
| ~ nq_5(X_368)
| ~ nq_6(X_369)
| ~ nq_7(a)
| p_12(X_364,X_365,X_366,X_367,X_368,X_369,a) ),
inference(subst,[],[n_t3_1:[bind(X_1,$fot(X_364)),bind(X_2,$fot(X_365)),bind(X_3,$fot(X_366)),bind(X_4,$fot(X_367)),bind(X_5,$fot(X_368)),bind(X_6,$fot(X_369)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_24,plain,
( ~ nq_1(X_364)
| ~ nq_2(X_365)
| ~ nq_3(X_366)
| ~ nq_4(X_367)
| ~ nq_5(X_368)
| ~ nq_6(X_369)
| p_12(X_364,X_365,X_366,X_367,X_368,X_369,a) ),
inference(resolve,[$cnf( nq_7(a) )],[n_13,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ nq_1(X_371)
| ~ nq_2(X_372)
| ~ nq_3(X_373)
| ~ nq_4(X_374)
| ~ nq_5(X_375)
| ~ nq_6(a)
| p_12(X_371,X_372,X_373,X_374,X_375,a,a) ),
inference(subst,[],[refute_0_24:[bind(X_364,$fot(X_371)),bind(X_365,$fot(X_372)),bind(X_366,$fot(X_373)),bind(X_367,$fot(X_374)),bind(X_368,$fot(X_375)),bind(X_369,$fot(a))]]) ).
cnf(refute_0_26,plain,
( ~ nq_1(X_371)
| ~ nq_2(X_372)
| ~ nq_3(X_373)
| ~ nq_4(X_374)
| ~ nq_5(X_375)
| p_12(X_371,X_372,X_373,X_374,X_375,a,a) ),
inference(resolve,[$cnf( nq_6(a) )],[n_11,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ nq_1(X_377)
| ~ nq_2(X_378)
| ~ nq_3(X_379)
| ~ nq_4(X_380)
| ~ nq_5(a)
| p_12(X_377,X_378,X_379,X_380,a,a,a) ),
inference(subst,[],[refute_0_26:[bind(X_371,$fot(X_377)),bind(X_372,$fot(X_378)),bind(X_373,$fot(X_379)),bind(X_374,$fot(X_380)),bind(X_375,$fot(a))]]) ).
cnf(refute_0_28,plain,
( ~ nq_1(X_377)
| ~ nq_2(X_378)
| ~ nq_3(X_379)
| ~ nq_4(X_380)
| p_12(X_377,X_378,X_379,X_380,a,a,a) ),
inference(resolve,[$cnf( nq_5(a) )],[n_9,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ nq_1(X_382)
| ~ nq_2(X_383)
| ~ nq_3(X_384)
| ~ nq_4(a)
| p_12(X_382,X_383,X_384,a,a,a,a) ),
inference(subst,[],[refute_0_28:[bind(X_377,$fot(X_382)),bind(X_378,$fot(X_383)),bind(X_379,$fot(X_384)),bind(X_380,$fot(a))]]) ).
cnf(refute_0_30,plain,
( ~ nq_1(X_382)
| ~ nq_2(X_383)
| ~ nq_3(X_384)
| p_12(X_382,X_383,X_384,a,a,a,a) ),
inference(resolve,[$cnf( nq_4(a) )],[n_7,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ nq_1(X_386)
| ~ nq_2(X_387)
| ~ nq_3(a)
| p_12(X_386,X_387,a,a,a,a,a) ),
inference(subst,[],[refute_0_30:[bind(X_382,$fot(X_386)),bind(X_383,$fot(X_387)),bind(X_384,$fot(a))]]) ).
cnf(refute_0_32,plain,
( ~ nq_1(X_386)
| ~ nq_2(X_387)
| p_12(X_386,X_387,a,a,a,a,a) ),
inference(resolve,[$cnf( nq_3(a) )],[n_5,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ nq_1(X_389)
| ~ nq_2(a)
| p_12(X_389,a,a,a,a,a,a) ),
inference(subst,[],[refute_0_32:[bind(X_386,$fot(X_389)),bind(X_387,$fot(a))]]) ).
cnf(refute_0_34,plain,
( ~ nq_1(X_389)
| p_12(X_389,a,a,a,a,a,a) ),
inference(resolve,[$cnf( nq_2(a) )],[n_3,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ nq_1(a)
| p_12(a,a,a,a,a,a,a) ),
inference(subst,[],[refute_0_34:[bind(X_389,$fot(a))]]) ).
cnf(refute_0_36,plain,
p_12(a,a,a,a,a,a,a),
inference(resolve,[$cnf( nq_1(a) )],[n_1,refute_0_35]) ).
cnf(refute_0_37,plain,
q_11(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_12(a,a,a,a,a,a,a) )],[refute_0_36,refute_0_22]) ).
cnf(refute_0_38,plain,
( ~ p_10(a,a,a,a,a,a,a)
| q_9(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( q_11(a,a,a,a,a,a,a) )],[refute_0_37,refute_0_6]) ).
cnf(refute_0_39,plain,
( ~ p_11(a,a,a,a,a,a,a)
| ~ p_12(a,a,a,a,a,a,a)
| p_10(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_21:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_40,plain,
( ~ p_11(a,a,a,a,a,a,a)
| p_10(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_12(a,a,a,a,a,a,a) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ p_12(a,a,a,a,a,a,a)
| ~ p_13(a,a,a,a,a,a,a)
| p_11(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_23:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_42,plain,
( ~ nq_1(X_611)
| ~ nq_2(X_612)
| ~ nq_3(X_613)
| ~ nq_4(X_614)
| ~ nq_5(X_615)
| ~ nq_6(X_616)
| ~ nq_7(a)
| p_13(X_611,X_612,X_613,X_614,X_615,X_616,a) ),
inference(subst,[],[n_t3_2:[bind(X_1,$fot(X_611)),bind(X_2,$fot(X_612)),bind(X_3,$fot(X_613)),bind(X_4,$fot(X_614)),bind(X_5,$fot(X_615)),bind(X_6,$fot(X_616)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_43,plain,
( ~ nq_1(X_611)
| ~ nq_2(X_612)
| ~ nq_3(X_613)
| ~ nq_4(X_614)
| ~ nq_5(X_615)
| ~ nq_6(X_616)
| p_13(X_611,X_612,X_613,X_614,X_615,X_616,a) ),
inference(resolve,[$cnf( nq_7(a) )],[n_13,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ nq_1(X_618)
| ~ nq_2(X_619)
| ~ nq_3(X_620)
| ~ nq_4(X_621)
| ~ nq_5(X_622)
| ~ nq_6(a)
| p_13(X_618,X_619,X_620,X_621,X_622,a,a) ),
inference(subst,[],[refute_0_43:[bind(X_611,$fot(X_618)),bind(X_612,$fot(X_619)),bind(X_613,$fot(X_620)),bind(X_614,$fot(X_621)),bind(X_615,$fot(X_622)),bind(X_616,$fot(a))]]) ).
cnf(refute_0_45,plain,
( ~ nq_1(X_618)
| ~ nq_2(X_619)
| ~ nq_3(X_620)
| ~ nq_4(X_621)
| ~ nq_5(X_622)
| p_13(X_618,X_619,X_620,X_621,X_622,a,a) ),
inference(resolve,[$cnf( nq_6(a) )],[n_11,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ nq_1(X_624)
| ~ nq_2(X_625)
| ~ nq_3(X_626)
| ~ nq_4(X_627)
| ~ nq_5(a)
| p_13(X_624,X_625,X_626,X_627,a,a,a) ),
inference(subst,[],[refute_0_45:[bind(X_618,$fot(X_624)),bind(X_619,$fot(X_625)),bind(X_620,$fot(X_626)),bind(X_621,$fot(X_627)),bind(X_622,$fot(a))]]) ).
cnf(refute_0_47,plain,
( ~ nq_1(X_624)
| ~ nq_2(X_625)
| ~ nq_3(X_626)
| ~ nq_4(X_627)
| p_13(X_624,X_625,X_626,X_627,a,a,a) ),
inference(resolve,[$cnf( nq_5(a) )],[n_9,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ nq_1(X_629)
| ~ nq_2(X_630)
| ~ nq_3(X_631)
| ~ nq_4(a)
| p_13(X_629,X_630,X_631,a,a,a,a) ),
inference(subst,[],[refute_0_47:[bind(X_624,$fot(X_629)),bind(X_625,$fot(X_630)),bind(X_626,$fot(X_631)),bind(X_627,$fot(a))]]) ).
cnf(refute_0_49,plain,
( ~ nq_1(X_629)
| ~ nq_2(X_630)
| ~ nq_3(X_631)
| p_13(X_629,X_630,X_631,a,a,a,a) ),
inference(resolve,[$cnf( nq_4(a) )],[n_7,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ nq_1(X_633)
| ~ nq_2(X_634)
| ~ nq_3(a)
| p_13(X_633,X_634,a,a,a,a,a) ),
inference(subst,[],[refute_0_49:[bind(X_629,$fot(X_633)),bind(X_630,$fot(X_634)),bind(X_631,$fot(a))]]) ).
cnf(refute_0_51,plain,
( ~ nq_1(X_633)
| ~ nq_2(X_634)
| p_13(X_633,X_634,a,a,a,a,a) ),
inference(resolve,[$cnf( nq_3(a) )],[n_5,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ nq_1(X_636)
| ~ nq_2(a)
| p_13(X_636,a,a,a,a,a,a) ),
inference(subst,[],[refute_0_51:[bind(X_633,$fot(X_636)),bind(X_634,$fot(a))]]) ).
cnf(refute_0_53,plain,
( ~ nq_1(X_636)
| p_13(X_636,a,a,a,a,a,a) ),
inference(resolve,[$cnf( nq_2(a) )],[n_3,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ nq_1(a)
| p_13(a,a,a,a,a,a,a) ),
inference(subst,[],[refute_0_53:[bind(X_636,$fot(a))]]) ).
cnf(refute_0_55,plain,
p_13(a,a,a,a,a,a,a),
inference(resolve,[$cnf( nq_1(a) )],[n_1,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ p_12(a,a,a,a,a,a,a)
| p_11(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_13(a,a,a,a,a,a,a) )],[refute_0_55,refute_0_41]) ).
cnf(refute_0_57,plain,
p_11(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_12(a,a,a,a,a,a,a) )],[refute_0_36,refute_0_56]) ).
cnf(refute_0_58,plain,
p_10(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_11(a,a,a,a,a,a,a) )],[refute_0_57,refute_0_40]) ).
cnf(refute_0_59,plain,
q_9(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_10(a,a,a,a,a,a,a) )],[refute_0_58,refute_0_38]) ).
cnf(refute_0_60,plain,
( ~ p_8(a,a,a,a,a,a,a)
| q_7(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( q_9(a,a,a,a,a,a,a) )],[refute_0_59,refute_0_5]) ).
cnf(refute_0_61,plain,
( ~ p_10(a,a,a,a,a,a,a)
| ~ p_9(a,a,a,a,a,a,a)
| p_8(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_17:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_62,plain,
( ~ p_10(a,a,a,a,a,a,a)
| ~ p_11(a,a,a,a,a,a,a)
| p_9(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_19:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_63,plain,
( ~ p_10(a,a,a,a,a,a,a)
| p_9(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_11(a,a,a,a,a,a,a) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
p_9(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_10(a,a,a,a,a,a,a) )],[refute_0_58,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ p_10(a,a,a,a,a,a,a)
| p_8(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_9(a,a,a,a,a,a,a) )],[refute_0_64,refute_0_61]) ).
cnf(refute_0_66,plain,
p_8(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_10(a,a,a,a,a,a,a) )],[refute_0_58,refute_0_65]) ).
cnf(refute_0_67,plain,
q_7(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_8(a,a,a,a,a,a,a) )],[refute_0_66,refute_0_60]) ).
cnf(refute_0_68,plain,
( ~ p_8(a,a,a,a,a,a,a)
| q_6(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( q_7(a,a,a,a,a,a,a) )],[refute_0_67,refute_0_4]) ).
cnf(refute_0_69,plain,
q_6(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_8(a,a,a,a,a,a,a) )],[refute_0_66,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ p_5(a,a,a,a,a,a,a)
| q_4(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( q_6(a,a,a,a,a,a,a) )],[refute_0_69,refute_0_3]) ).
cnf(refute_0_71,plain,
( ~ p_6(a,a,a,a,a,a,a)
| ~ p_7(a,a,a,a,a,a,a)
| p_5(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_11:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_72,plain,
( ~ p_8(a,a,a,a,a,a,a)
| ~ p_9(a,a,a,a,a,a,a)
| p_7(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_15:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_73,plain,
( ~ p_8(a,a,a,a,a,a,a)
| p_7(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_9(a,a,a,a,a,a,a) )],[refute_0_64,refute_0_72]) ).
cnf(refute_0_74,plain,
p_7(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_8(a,a,a,a,a,a,a) )],[refute_0_66,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ p_6(a,a,a,a,a,a,a)
| p_5(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_7(a,a,a,a,a,a,a) )],[refute_0_74,refute_0_71]) ).
cnf(refute_0_76,plain,
( ~ p_7(a,a,a,a,a,a,a)
| ~ p_8(a,a,a,a,a,a,a)
| p_6(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_13:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_77,plain,
( ~ p_7(a,a,a,a,a,a,a)
| p_6(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_8(a,a,a,a,a,a,a) )],[refute_0_66,refute_0_76]) ).
cnf(refute_0_78,plain,
p_6(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_7(a,a,a,a,a,a,a) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
p_5(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_6(a,a,a,a,a,a,a) )],[refute_0_78,refute_0_75]) ).
cnf(refute_0_80,plain,
q_4(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_5(a,a,a,a,a,a,a) )],[refute_0_79,refute_0_70]) ).
cnf(refute_0_81,plain,
( ~ p_5(a,a,a,a,a,a,a)
| q_3(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( q_4(a,a,a,a,a,a,a) )],[refute_0_80,refute_0_2]) ).
cnf(refute_0_82,plain,
q_3(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_5(a,a,a,a,a,a,a) )],[refute_0_79,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ p_2(a,a,a,a,a,a,a)
| q_1(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( q_3(a,a,a,a,a,a,a) )],[refute_0_82,refute_0_1]) ).
cnf(refute_0_84,plain,
( ~ p_3(a,a,a,a,a,a,a)
| ~ p_4(a,a,a,a,a,a,a)
| p_2(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_5:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_85,plain,
( ~ p_5(a,a,a,a,a,a,a)
| ~ p_6(a,a,a,a,a,a,a)
| p_4(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_9:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_86,plain,
( ~ p_5(a,a,a,a,a,a,a)
| p_4(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_6(a,a,a,a,a,a,a) )],[refute_0_78,refute_0_85]) ).
cnf(refute_0_87,plain,
p_4(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_5(a,a,a,a,a,a,a) )],[refute_0_79,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ p_3(a,a,a,a,a,a,a)
| p_2(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_4(a,a,a,a,a,a,a) )],[refute_0_87,refute_0_84]) ).
cnf(refute_0_89,plain,
( ~ p_4(a,a,a,a,a,a,a)
| ~ p_5(a,a,a,a,a,a,a)
| p_3(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_7:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_90,plain,
( ~ p_4(a,a,a,a,a,a,a)
| p_3(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_5(a,a,a,a,a,a,a) )],[refute_0_79,refute_0_89]) ).
cnf(refute_0_91,plain,
p_3(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_4(a,a,a,a,a,a,a) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
p_2(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_3(a,a,a,a,a,a,a) )],[refute_0_91,refute_0_88]) ).
cnf(refute_0_93,plain,
q_1(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_2(a,a,a,a,a,a,a) )],[refute_0_92,refute_0_83]) ).
cnf(refute_0_94,plain,
( ~ p_2(a,a,a,a,a,a,a)
| q_0(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( q_1(a,a,a,a,a,a,a) )],[refute_0_93,refute_0_0]) ).
cnf(refute_0_95,plain,
q_0(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_2(a,a,a,a,a,a,a) )],[refute_0_92,refute_0_94]) ).
cnf(refute_0_96,plain,
~ p_0(a,a,a,a,a,a,a),
inference(resolve,[$cnf( q_0(a,a,a,a,a,a,a) )],[refute_0_95,n_s3_goal_1]) ).
cnf(refute_0_97,plain,
( ~ p_1(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a)
| p_0(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_1:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_98,plain,
( ~ p_1(a,a,a,a,a,a,a)
| p_0(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_2(a,a,a,a,a,a,a) )],[refute_0_92,refute_0_97]) ).
cnf(refute_0_99,plain,
( ~ p_2(a,a,a,a,a,a,a)
| ~ p_3(a,a,a,a,a,a,a)
| p_1(a,a,a,a,a,a,a) ),
inference(subst,[],[n_s3_type11_3:[bind(X_1,$fot(a)),bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_4,$fot(a)),bind(X_5,$fot(a)),bind(X_6,$fot(a)),bind(X_7,$fot(a))]]) ).
cnf(refute_0_100,plain,
( ~ p_2(a,a,a,a,a,a,a)
| p_1(a,a,a,a,a,a,a) ),
inference(resolve,[$cnf( p_3(a,a,a,a,a,a,a) )],[refute_0_91,refute_0_99]) ).
cnf(refute_0_101,plain,
p_1(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_2(a,a,a,a,a,a,a) )],[refute_0_92,refute_0_100]) ).
cnf(refute_0_102,plain,
p_0(a,a,a,a,a,a,a),
inference(resolve,[$cnf( p_1(a,a,a,a,a,a,a) )],[refute_0_101,refute_0_98]) ).
cnf(refute_0_103,plain,
$false,
inference(resolve,[$cnf( p_0(a,a,a,a,a,a,a) )],[refute_0_102,refute_0_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 01:22:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.48/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.66
% 0.48/0.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.48/0.67
%------------------------------------------------------------------------------