TSTP Solution File: SYN037-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : 300s
% DateTime : Wed Aug 31 19:36:37 EDT 2022
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 43
% Syntax : Number of formulae : 114 ( 1 unt; 0 def)
% Number of atoms : 323 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 371 ( 162 ~; 188 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 25 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f43,f44,f56,f61,f65,f66,f70,f75,f79,f83,f87,f91,f95,f96,f97,f101,f102,f103,f108,f112,f116,f118,f120,f123,f128,f131,f134,f137,f140,f142,f144,f149,f152]) ).
fof(f152,plain,
( ~ spl0_6
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| ~ spl0_6
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f150,f47]) ).
fof(f47,plain,
( ! [X7] : ~ p(X7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_6
<=> ! [X7] : ~ p(X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f150,plain,
( ! [X0] : p(fy(X0))
| ~ spl0_6
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f115,f47]) ).
fof(f115,plain,
( ! [X0] :
( p(X0)
| p(fy(X0)) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_21
<=> ! [X0] :
( p(fy(X0))
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f149,plain,
( ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f148,plain,
( $false
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f147,f47]) ).
fof(f147,plain,
( ! [X9] : p(fy3(X9))
| ~ spl0_6
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f69,f47]) ).
fof(f69,plain,
( ! [X9] :
( p(X9)
| p(fy3(X9)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_11
<=> ! [X9] :
( p(fy3(X9))
| p(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f144,plain,
( ~ spl0_10
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f143,plain,
( $false
| ~ spl0_10
| spl0_19 ),
inference(subsumption_resolution,[],[f107,f64]) ).
fof(f64,plain,
( ! [X3] : q(X3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_10
<=> ! [X3] : q(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f107,plain,
( ~ q(cuu)
| spl0_19 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_19
<=> q(cuu) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f142,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f60,f34]) ).
fof(f34,plain,
( ! [X11] : ~ q(X11)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_3
<=> ! [X11] : ~ q(X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f60,plain,
( q(cu)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_9
<=> q(cu) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f140,plain,
( ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f138,f86]) ).
fof(f86,plain,
( ! [X15] : p(X15)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl0_15
<=> ! [X15] : p(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f138,plain,
( ! [X9] : ~ p(X9)
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f94,f86]) ).
fof(f94,plain,
( ! [X9] :
( ~ p(fy3(X9))
| ~ p(X9) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_17
<=> ! [X9] :
( ~ p(fy3(X9))
| ~ p(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f137,plain,
( ~ spl0_10
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f136,plain,
( $false
| ~ spl0_10
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f135,f64]) ).
fof(f135,plain,
( ! [X5] : ~ q(fz5(X5))
| ~ spl0_10
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f111,f64]) ).
fof(f111,plain,
( ! [X5] :
( ~ q(fz5(X5))
| ~ q(X5) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_20
<=> ! [X5] :
( ~ q(X5)
| ~ q(fz5(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f134,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| ~ spl0_3
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f132,f34]) ).
fof(f132,plain,
( ! [X5] : q(X5)
| ~ spl0_3
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f82,f34]) ).
fof(f82,plain,
( ! [X5] :
( q(X5)
| q(fz5(X5)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_14
<=> ! [X5] :
( q(X5)
| q(fz5(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f131,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f130,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f129,f86]) ).
fof(f129,plain,
( ! [X0] : ~ p(X0)
| ~ spl0_13
| ~ spl0_15 ),
inference(resolution,[],[f86,f78]) ).
fof(f78,plain,
( ! [X0] :
( ~ p(fy(X0))
| ~ p(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_13
<=> ! [X0] :
( ~ p(fy(X0))
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f128,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f127,plain,
( $false
| ~ spl0_10
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f126,f64]) ).
fof(f126,plain,
( ! [X8] : ~ q(fz2(X8))
| ~ spl0_10
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f100,f64]) ).
fof(f100,plain,
( ! [X8] :
( ~ q(fz2(X8))
| ~ q(X8) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_18
<=> ! [X8] :
( ~ q(fz2(X8))
| ~ q(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f123,plain,
( ~ spl0_3
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f122,plain,
( $false
| ~ spl0_3
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f121,f34]) ).
fof(f121,plain,
( ! [X8] : q(fz2(X8))
| ~ spl0_3
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f90,f34]) ).
fof(f90,plain,
( ! [X8] :
( q(X8)
| q(fz2(X8)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_16
<=> ! [X8] :
( q(fz2(X8))
| q(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f120,plain,
( spl0_2
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| spl0_2
| ~ spl0_15 ),
inference(resolution,[],[f86,f30]) ).
fof(f30,plain,
( ~ p(cvv)
| spl0_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_2
<=> p(cvv) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f118,plain,
( ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f74,f47]) ).
fof(f74,plain,
( p(cv)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_12
<=> p(cv) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f116,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_21 ),
inference(avatar_split_clause,[],[f2,f114,f49,f40]) ).
fof(f40,plain,
( spl0_5
<=> m3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f49,plain,
( spl0_7
<=> m1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2,axiom,
! [X0] :
( p(fy(X0))
| p(X0)
| ~ m1
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f112,plain,
( ~ spl0_1
| spl0_20
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f40,f110,f24]) ).
fof(f24,plain,
( spl0_1
<=> m2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f7,axiom,
! [X5] :
( m3
| ~ q(X5)
| ~ m2
| ~ q(fz5(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f108,plain,
( ~ spl0_19
| spl0_7 ),
inference(avatar_split_clause,[],[f20,f49,f105]) ).
fof(f20,axiom,
( m1
| ~ q(cuu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f103,plain,
( spl0_7
| ~ spl0_5
| ~ spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f9,f85,f53,f40,f49]) ).
fof(f53,plain,
( spl0_8
<=> p(cx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f9,axiom,
! [X6] :
( p(X6)
| ~ p(cx)
| ~ m3
| m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f102,plain,
( spl0_5
| spl0_8
| ~ spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f46,f49,f53,f40]) ).
fof(f4,axiom,
! [X2] :
( ~ p(X2)
| ~ m1
| p(cx)
| m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f101,plain,
( ~ spl0_5
| spl0_1
| spl0_18 ),
inference(avatar_split_clause,[],[f11,f99,f24,f40]) ).
fof(f11,axiom,
! [X8] :
( ~ q(fz2(X8))
| m2
| ~ q(X8)
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f97,plain,
( spl0_3
| spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f17,f49,f63,f33]) ).
fof(f17,axiom,
! [X12,X13] :
( ~ m1
| q(X13)
| ~ q(X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f96,plain,
( spl0_15
| ~ spl0_8
| spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f3,f49,f40,f53,f85]) ).
fof(f3,axiom,
! [X1] :
( ~ m1
| m3
| ~ p(cx)
| p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f95,plain,
( spl0_5
| spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f13,f93,f49,f40]) ).
fof(f13,axiom,
! [X9] :
( ~ p(fy3(X9))
| m1
| ~ p(X9)
| m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f91,plain,
( spl0_16
| spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f12,f40,f24,f89]) ).
fof(f12,axiom,
! [X8] :
( ~ m3
| m2
| q(fz2(X8))
| q(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
fof(f87,plain,
( spl0_15
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f18,f24,f46,f85]) ).
fof(f18,axiom,
! [X14,X15] :
( ~ m2
| ~ p(X14)
| p(X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f83,plain,
( spl0_5
| ~ spl0_1
| spl0_14 ),
inference(avatar_split_clause,[],[f8,f81,f24,f40]) ).
fof(f8,axiom,
! [X5] :
( q(X5)
| ~ m2
| q(fz5(X5))
| m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f79,plain,
( spl0_13
| ~ spl0_7
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1,f40,f49,f77]) ).
fof(f1,axiom,
! [X0] :
( ~ m3
| ~ m1
| ~ p(fy(X0))
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f75,plain,
( spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f21,f72,f24]) ).
fof(f21,axiom,
( p(cv)
| m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f70,plain,
( spl0_7
| spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f16,f68,f40,f49]) ).
fof(f16,axiom,
! [X9] :
( p(fy3(X9))
| m3
| m1
| p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f66,plain,
( spl0_10
| ~ spl0_4
| spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f14,f24,f40,f36,f63]) ).
fof(f36,plain,
( spl0_4
<=> q(cw) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f14,axiom,
! [X10] :
( m2
| m3
| ~ q(cw)
| q(X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f65,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f5,f63,f24,f40,f36]) ).
fof(f5,axiom,
! [X3] :
( q(X3)
| ~ m2
| ~ m3
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f61,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f22,f49,f58]) ).
fof(f22,axiom,
( m1
| q(cu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f56,plain,
( spl0_6
| ~ spl0_5
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f53,f49,f40,f46]) ).
fof(f10,axiom,
! [X7] :
( p(cx)
| m1
| ~ m3
| ~ p(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f44,plain,
( ~ spl0_1
| spl0_4
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f6,f40,f33,f36,f24]) ).
fof(f6,axiom,
! [X4] :
( ~ m3
| ~ q(X4)
| q(cw)
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f43,plain,
( spl0_3
| spl0_4
| spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f15,f40,f24,f36,f33]) ).
fof(f15,axiom,
! [X11] :
( m3
| m2
| q(cw)
| ~ q(X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f31,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f19,f28,f24]) ).
fof(f19,axiom,
( ~ p(cvv)
| m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.08/0.29 % Computer : n019.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Aug 30 21:25:50 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.14/0.37 % (14100)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.14/0.39 % (14100)First to succeed.
% 0.14/0.40 % (14100)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (14100)------------------------------
% 0.14/0.40 % (14100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.40 % (14100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.40 % (14100)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (14100)Memory used [KB]: 5500
% 0.14/0.40 % (14100)Time elapsed: 0.066 s
% 0.14/0.40 % (14100)Instructions burned: 3 (million)
% 0.14/0.40 % (14100)------------------------------
% 0.14/0.40 % (14100)------------------------------
% 0.14/0.40 % (14092)Success in time 0.104 s
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