TSTP Solution File: SYO889_16 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO889_16 : TPTP v8.2.0. Released v8.2.0.
% 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 : n002.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 : Mon May 22 15:45:51 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 189 ( 74 ~; 64 |; 34 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 25 ( 25 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 60 (; 36 !; 24 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
sK0: '$ki_world' > $i ).
tff(func_def_2,type,
sK1: '$ki_world' ).
tff(func_def_4,type,
sK3: ( '$ki_world' * $i ) > '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
a: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
b: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f111,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f61,f84,f106,f108,f110]) ).
tff(f110,plain,
spl4_8,
inference(avatar_contradiction_clause,[],[f109]) ).
tff(f109,plain,
( $false
| spl4_8 ),
inference(resolution,[],[f105,f23]) ).
tff(f23,plain,
'$ki_exists_in_world_$i'(sK1,sK2),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ! [X6: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X6)
| ! [X7] :
( ~ '$ki_exists_in_world_$i'(X6,X7)
| ! [X8: '$ki_world'] :
( ~ b(X8,X7)
| ~ a(X8,X7)
| ~ '$ki_accessible'(X6,X8) ) ) )
& ! [X0: '$ki_world'] :
( ! [X1] :
( ? [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
& b(X2,X1) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ? [X3: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X3)
& ? [X4] :
( '$ki_exists_in_world_$i'(X3,X4)
& ! [X5: '$ki_world'] :
( a(X5,X4)
| ~ '$ki_accessible'(X3,X5) ) ) ) ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( ! [X6: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X6)
| ! [X7] :
( ~ '$ki_exists_in_world_$i'(X6,X7)
| ! [X8: '$ki_world'] :
( ~ b(X8,X7)
| ~ a(X8,X7)
| ~ '$ki_accessible'(X6,X8) ) ) )
& ? [X3: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X3)
& ? [X4] :
( '$ki_exists_in_world_$i'(X3,X4)
& ! [X5: '$ki_world'] :
( a(X5,X4)
| ~ '$ki_accessible'(X3,X5) ) ) )
& ! [X0: '$ki_world'] :
( ! [X1] :
( ? [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
& b(X2,X1) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ( ( ? [X3: '$ki_world'] :
( ? [X4] :
( '$ki_exists_in_world_$i'(X3,X4)
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X3,X5)
=> a(X5,X4) ) )
& '$ki_accessible'('$ki_local_world',X3) )
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ? [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
& b(X2,X1) ) ) ) )
=> ? [X6: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X6)
& ? [X7] :
( '$ki_exists_in_world_$i'(X6,X7)
& ? [X8: '$ki_world'] :
( a(X8,X7)
& '$ki_accessible'(X6,X8)
& b(X8,X7) ) ) ) ),
inference(rectify,[],[f6]) ).
tff(f6,negated_conjecture,
~ ( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ? [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
& b(X4,X3) ) ) )
& ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ? [X3] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> a(X4,X3) )
& '$ki_exists_in_world_$i'(X0,X3) ) ) )
=> ? [X0: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
& ? [X4: '$ki_world'] :
( b(X4,X3)
& '$ki_accessible'(X0,X4)
& a(X4,X3) ) )
& '$ki_accessible'('$ki_local_world',X0) ) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ? [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
& b(X4,X3) ) ) )
& ? [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
& ? [X3] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> a(X4,X3) )
& '$ki_exists_in_world_$i'(X0,X3) ) ) )
=> ? [X0: '$ki_world'] :
( ? [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
& ? [X4: '$ki_world'] :
( b(X4,X3)
& '$ki_accessible'(X0,X4)
& a(X4,X3) ) )
& '$ki_accessible'('$ki_local_world',X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f105,plain,
( ~ '$ki_exists_in_world_$i'(sK1,sK2)
| spl4_8 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f103,plain,
( spl4_8
<=> '$ki_exists_in_world_$i'(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
tff(f108,plain,
( ~ spl4_8
| ~ spl4_2
| spl4_7 ),
inference(avatar_split_clause,[],[f107,f99,f48,f103]) ).
tff(f48,plain,
( spl4_2
<=> '$ki_accessible'('$ki_local_world',sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f99,plain,
( spl4_7
<=> '$ki_accessible'(sK1,sK3(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
tff(f107,plain,
( ~ '$ki_accessible'('$ki_local_world',sK1)
| ~ '$ki_exists_in_world_$i'(sK1,sK2)
| spl4_7 ),
inference(resolution,[],[f101,f21]) ).
tff(f21,plain,
! [X0: '$ki_world',X1: $i] :
( '$ki_accessible'(X0,sK3(X0,X1))
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f101,plain,
( ~ '$ki_accessible'(sK1,sK3(sK1,sK2))
| spl4_7 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f106,plain,
( ~ spl4_7
| ~ spl4_2
| ~ spl4_8
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f97,f82,f57,f103,f48,f99]) ).
tff(f57,plain,
( spl4_4
<=> ! [X2] :
( ~ '$ki_exists_in_world_$i'(sK1,X2)
| a(sK3(sK1,X2),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
tff(f82,plain,
( spl4_5
<=> ! [X0: '$ki_world'] :
( ~ '$ki_accessible'(sK1,X0)
| ~ a(X0,sK2)
| ~ b(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
tff(f97,plain,
( ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ '$ki_accessible'('$ki_local_world',sK1)
| ~ '$ki_accessible'(sK1,sK3(sK1,sK2))
| ~ spl4_4
| ~ spl4_5 ),
inference(duplicate_literal_removal,[],[f96]) ).
tff(f96,plain,
( ~ '$ki_accessible'(sK1,sK3(sK1,sK2))
| ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ '$ki_accessible'('$ki_local_world',sK1)
| ~ '$ki_exists_in_world_$i'(sK1,sK2)
| ~ spl4_4
| ~ spl4_5 ),
inference(resolution,[],[f89,f58]) ).
tff(f58,plain,
( ! [X2: $i] :
( a(sK3(sK1,X2),sK2)
| ~ '$ki_exists_in_world_$i'(sK1,X2) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f89,plain,
( ! [X0: '$ki_world'] :
( ~ a(sK3(X0,sK2),sK2)
| ~ '$ki_accessible'(sK1,sK3(X0,sK2))
| ~ '$ki_accessible'('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'(X0,sK2) )
| ~ spl4_5 ),
inference(resolution,[],[f83,f20]) ).
tff(f20,plain,
! [X0: '$ki_world',X1: $i] :
( b(sK3(X0,X1),X1)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f83,plain,
( ! [X0: '$ki_world'] :
( ~ b(X0,sK2)
| ~ a(X0,sK2)
| ~ '$ki_accessible'(sK1,X0) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f84,plain,
( ~ spl4_2
| spl4_5 ),
inference(avatar_split_clause,[],[f74,f82,f48]) ).
tff(f74,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'(sK1,X0)
| ~ b(X0,sK2)
| ~ '$ki_accessible'('$ki_local_world',sK1)
| ~ a(X0,sK2) ),
inference(resolution,[],[f19,f23]) ).
tff(f19,plain,
! [X8: '$ki_world',X6: '$ki_world',X7: $i] :
( ~ '$ki_exists_in_world_$i'(X6,X7)
| ~ '$ki_accessible'('$ki_local_world',X6)
| ~ '$ki_accessible'(X6,X8)
| ~ b(X8,X7)
| ~ a(X8,X7) ),
inference(cnf_transformation,[],[f12]) ).
tff(f61,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f60]) ).
tff(f60,plain,
( $false
| spl4_2 ),
inference(resolution,[],[f50,f24]) ).
tff(f24,plain,
'$ki_accessible'('$ki_local_world',sK1),
inference(cnf_transformation,[],[f12]) ).
tff(f50,plain,
( ~ '$ki_accessible'('$ki_local_world',sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f59,plain,
( spl4_4
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f41,f48,f57]) ).
tff(f41,plain,
! [X2: $i] :
( ~ '$ki_accessible'('$ki_local_world',sK1)
| ~ '$ki_exists_in_world_$i'(sK1,X2)
| a(sK3(sK1,X2),sK2) ),
inference(resolution,[],[f21,f22]) ).
tff(f22,plain,
! [X5: '$ki_world'] :
( ~ '$ki_accessible'(sK1,X5)
| a(X5,sK2) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO889_16 : TPTP v8.2.0. Released v8.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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 : 300
% 0.13/0.34 % DateTime : Mon May 22 13:24:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (19464)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.52 % (19472)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (19473)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (19480)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (19467)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 TRYING [4]
% 0.20/0.52 TRYING [5]
% 0.20/0.52 % (19488)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (19467)First to succeed.
% 0.20/0.52 % (19465)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (19465)Refutation not found, incomplete strategy% (19465)------------------------------
% 0.20/0.52 % (19465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (19465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (19465)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (19465)Memory used [KB]: 5373
% 0.20/0.52 % (19465)Time elapsed: 0.117 s
% 0.20/0.52 % (19465)------------------------------
% 0.20/0.52 % (19465)------------------------------
% 0.20/0.53 % (19466)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (19468)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (19471)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (19469)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (19478)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 TRYING [6]
% 0.20/0.53 % (19486)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 % (19482)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (19481)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 TRYING [7]
% 0.20/0.54 % (19485)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (19487)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54 % (19475)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 TRYING [8]
% 0.20/0.54 % (19476)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (19483)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (19472)Instruction limit reached!
% 0.20/0.54 % (19472)------------------------------
% 0.20/0.54 % (19472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19472)Termination reason: Unknown
% 0.20/0.54 % (19472)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (19472)Memory used [KB]: 5373
% 0.20/0.54 % (19472)Time elapsed: 0.143 s
% 0.20/0.54 % (19472)Instructions burned: 3 (million)
% 0.20/0.54 % (19472)------------------------------
% 0.20/0.54 % (19472)------------------------------
% 0.20/0.54 % (19474)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (19467)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (19467)------------------------------
% 0.20/0.54 % (19467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19467)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (19467)Memory used [KB]: 5500
% 0.20/0.54 % (19467)Time elapsed: 0.126 s
% 0.20/0.54 % (19467)Instructions burned: 2 (million)
% 0.20/0.54 % (19467)------------------------------
% 0.20/0.54 % (19467)------------------------------
% 0.20/0.54 % (19463)Success in time 0.194 s
%------------------------------------------------------------------------------