TSTP Solution File: SWC050+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC050+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 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 : 300s
% DateTime : Wed Aug 31 18:41:24 EDT 2022
% Result : Theorem 2.09s 0.63s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 134 ( 10 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 167 ( 64 ~; 55 |; 32 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 28 ( 16 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1055,plain,
$false,
inference(avatar_sat_refutation,[],[f479,f489,f494,f499,f510,f512,f1054]) ).
fof(f1054,plain,
( ~ spl52_6
| ~ spl52_3
| ~ spl52_2
| ~ spl52_4
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f1041,f492,f486,f476,f481,f496]) ).
fof(f496,plain,
( spl52_6
<=> rearsegP(sK49,sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f481,plain,
( spl52_3
<=> ssList(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).
fof(f476,plain,
( spl52_2
<=> neq(sK51,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f486,plain,
( spl52_4
<=> rearsegP(sK50,sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f492,plain,
( spl52_5
<=> ! [X4] :
( ~ rearsegP(sK49,X4)
| ~ neq(X4,nil)
| ~ rearsegP(sK50,X4)
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f1041,plain,
( ~ neq(sK51,nil)
| ~ ssList(sK51)
| ~ rearsegP(sK49,sK51)
| ~ spl52_4
| ~ spl52_5 ),
inference(resolution,[],[f493,f488]) ).
fof(f488,plain,
( rearsegP(sK50,sK51)
| ~ spl52_4 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f493,plain,
( ! [X4] :
( ~ rearsegP(sK50,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ rearsegP(sK49,X4) )
| ~ spl52_5 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f512,plain,
spl52_1,
inference(avatar_split_clause,[],[f431,f472]) ).
fof(f472,plain,
( spl52_1
<=> neq(sK50,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f431,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f399,f401]) ).
fof(f401,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( ( neq(X1,nil)
& ! [X4] :
( ~ rearsegP(X1,X4)
| ~ rearsegP(X0,X4)
| ~ ssList(X4)
| ~ neq(X4,nil) )
& ? [X5] :
( rearsegP(X3,X5)
& neq(X5,nil)
& rearsegP(X2,X5)
& ssList(X5) ) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) )
& ssList(X3)
& X1 = X3
& X0 = X2 ) )
& ssList(X1) ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( neq(X1,nil)
& ! [X4] :
( ~ rearsegP(X1,X4)
| ~ rearsegP(X0,X4)
| ~ ssList(X4)
| ~ neq(X4,nil) )
& ? [X5] :
( rearsegP(X2,X5)
& neq(X5,nil)
& rearsegP(X3,X5)
& ssList(X5) ) ) )
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| ( ( ~ neq(X1,nil)
| neq(X3,nil) )
& ( ~ neq(X1,nil)
| ? [X4] :
( neq(X4,nil)
& rearsegP(X0,X4)
& rearsegP(X1,X4)
& ssList(X4) )
| ! [X5] :
( ssList(X5)
=> ( ~ rearsegP(X2,X5)
| ~ neq(X5,nil)
| ~ rearsegP(X3,X5) ) ) ) )
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| ( ( ~ neq(X1,nil)
| neq(X3,nil) )
& ( ~ neq(X1,nil)
| ? [X4] :
( neq(X4,nil)
& rearsegP(X0,X4)
& rearsegP(X1,X4)
& ssList(X4) )
| ! [X5] :
( ssList(X5)
=> ( ~ rearsegP(X2,X5)
| ~ neq(X5,nil)
| ~ rearsegP(X3,X5) ) ) ) )
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f399,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f112]) ).
fof(f510,plain,
( spl52_3
| ~ spl52_1 ),
inference(avatar_split_clause,[],[f394,f472,f481]) ).
fof(f394,plain,
( ~ neq(sK50,nil)
| ssList(sK51) ),
inference(cnf_transformation,[],[f112]) ).
fof(f499,plain,
( spl52_6
| ~ spl52_1 ),
inference(avatar_split_clause,[],[f395,f472,f496]) ).
fof(f395,plain,
( ~ neq(sK50,nil)
| rearsegP(sK49,sK51) ),
inference(cnf_transformation,[],[f112]) ).
fof(f494,plain,
( ~ spl52_1
| spl52_5 ),
inference(avatar_split_clause,[],[f437,f492,f472]) ).
fof(f437,plain,
! [X4] :
( ~ rearsegP(sK49,X4)
| ~ neq(sK50,nil)
| ~ ssList(X4)
| ~ rearsegP(sK50,X4)
| ~ neq(X4,nil) ),
inference(definition_unfolding,[],[f389,f400,f401]) ).
fof(f400,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f112]) ).
fof(f389,plain,
! [X4] :
( ~ neq(sK50,nil)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ rearsegP(sK47,X4)
| ~ rearsegP(sK48,X4) ),
inference(cnf_transformation,[],[f112]) ).
fof(f489,plain,
( ~ spl52_1
| spl52_4 ),
inference(avatar_split_clause,[],[f397,f486,f472]) ).
fof(f397,plain,
( rearsegP(sK50,sK51)
| ~ neq(sK50,nil) ),
inference(cnf_transformation,[],[f112]) ).
fof(f479,plain,
( ~ spl52_1
| spl52_2 ),
inference(avatar_split_clause,[],[f396,f476,f472]) ).
fof(f396,plain,
( neq(sK51,nil)
| ~ neq(sK50,nil) ),
inference(cnf_transformation,[],[f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC050+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:06:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (983)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)
% 0.21/0.50 % (990)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.50 % (1000)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.50 % (991)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50 % (978)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)
% 0.21/0.51 % (1001)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.51 % (1009)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.51 % (985)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (1008)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.52 % (985)Instruction limit reached!
% 0.21/0.52 % (985)------------------------------
% 0.21/0.52 % (985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (985)Termination reason: Unknown
% 0.21/0.52 % (985)Termination phase: shuffling
% 0.21/0.52
% 0.21/0.52 % (985)Memory used [KB]: 1279
% 0.21/0.52 % (985)Time elapsed: 0.006 s
% 0.21/0.52 % (985)Instructions burned: 8 (million)
% 0.21/0.52 % (985)------------------------------
% 0.21/0.52 % (985)------------------------------
% 0.21/0.53 % (1002)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)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (980)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)
% 0.21/0.54 % (1005)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (1007)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54 % (982)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (992)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)
% 0.21/0.54 TRYING [3]
% 0.21/0.55 % (981)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)
% 0.21/0.55 % (995)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (984)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (999)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)
% 0.21/0.55 % (1003)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)
% 0.21/0.55 % (998)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (989)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)
% 0.21/0.56 % (979)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)
% 0.21/0.56 % (988)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56 % (1006)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)
% 0.21/0.56 % (987)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)
% 0.21/0.57 % (993)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.61/0.57 % (983)Instruction limit reached!
% 1.61/0.57 % (983)------------------------------
% 1.61/0.57 % (983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (994)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)
% 1.61/0.58 % (986)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.61/0.58 % (983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.58 % (983)Termination reason: Unknown
% 1.61/0.58 % (983)Termination phase: Saturation
% 1.61/0.58
% 1.61/0.58 % (983)Memory used [KB]: 6396
% 1.61/0.58 % (983)Time elapsed: 0.169 s
% 1.61/0.58 % (983)Instructions burned: 49 (million)
% 1.61/0.58 % (983)------------------------------
% 1.61/0.58 % (983)------------------------------
% 1.61/0.58 % (986)Instruction limit reached!
% 1.61/0.58 % (986)------------------------------
% 1.61/0.58 % (986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.58 % (986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.58 % (986)Termination reason: Unknown
% 1.61/0.58 % (986)Termination phase: Preprocessing 1
% 1.61/0.58
% 1.61/0.58 % (986)Memory used [KB]: 895
% 1.61/0.58 % (986)Time elapsed: 0.002 s
% 1.61/0.58 % (986)Instructions burned: 2 (million)
% 1.61/0.58 % (986)------------------------------
% 1.61/0.58 % (986)------------------------------
% 1.61/0.58 % (1004)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.61/0.58 % (979)Refutation not found, incomplete strategy% (979)------------------------------
% 1.61/0.58 % (979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60 % (981)First to succeed.
% 1.79/0.60 TRYING [1]
% 1.79/0.60 TRYING [1]
% 1.79/0.60 TRYING [2]
% 1.79/0.60 % (979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60 % (979)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.60
% 1.79/0.60 % (979)Memory used [KB]: 6012
% 1.79/0.60 % (979)Time elapsed: 0.171 s
% 1.79/0.60 % (979)Instructions burned: 19 (million)
% 1.79/0.60 % (979)------------------------------
% 1.79/0.60 % (979)------------------------------
% 1.79/0.61 % (980)Instruction limit reached!
% 1.79/0.61 % (980)------------------------------
% 1.79/0.61 % (980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62 TRYING [2]
% 1.79/0.62 % (980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (980)Termination reason: Unknown
% 1.79/0.62 % (980)Termination phase: Saturation
% 1.79/0.62
% 1.79/0.62 % (980)Memory used [KB]: 1791
% 1.79/0.62 % (980)Time elapsed: 0.203 s
% 1.79/0.62 % (980)Instructions burned: 38 (million)
% 1.79/0.62 % (980)------------------------------
% 1.79/0.62 % (980)------------------------------
% 1.79/0.63 % (1010)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.09/0.63 % (981)Refutation found. Thanks to Tanya!
% 2.09/0.63 % SZS status Theorem for theBenchmark
% 2.09/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.63 % (981)------------------------------
% 2.09/0.63 % (981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (981)Termination reason: Refutation
% 2.09/0.63
% 2.09/0.63 % (981)Memory used [KB]: 6396
% 2.09/0.63 % (981)Time elapsed: 0.186 s
% 2.09/0.63 % (981)Instructions burned: 35 (million)
% 2.09/0.63 % (981)------------------------------
% 2.09/0.63 % (981)------------------------------
% 2.09/0.63 % (977)Success in time 0.263 s
%------------------------------------------------------------------------------