TSTP Solution File: SWC044+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC044+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 : n008.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 18:41:22 EDT 2022
% Result : Theorem 1.44s 0.54s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 136 ( 66 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 141 ( 32 ~; 17 |; 77 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 37 ( 13 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f678,plain,
$false,
inference(trivial_inequality_removal,[],[f677]) ).
fof(f677,plain,
sK17 != sK17,
inference(superposition,[],[f559,f671]) ).
fof(f671,plain,
sK18 = sK17,
inference(resolution,[],[f668,f562]) ).
fof(f562,plain,
ssList(sK18),
inference(definition_unfolding,[],[f380,f385]) ).
fof(f385,plain,
sK16 = sK18,
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ssList(sK18)
& nil != sK16
& ssList(sK19)
& sK16 = sK18
& rearsegP(sK19,sK18)
& sK19 = sK17
& nil = sK17
& ssList(sK17)
& ssList(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f142,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != X0
& ssList(X3)
& X0 = X2
& rearsegP(X3,X2)
& X1 = X3
& nil = X1 ) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != sK16
& ssList(X3)
& sK16 = X2
& rearsegP(X3,X2)
& X1 = X3
& nil = X1 ) )
& ssList(X1) )
& ssList(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != sK16
& ssList(X3)
& sK16 = X2
& rearsegP(X3,X2)
& X1 = X3
& nil = X1 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != sK16
& ssList(X3)
& sK16 = X2
& rearsegP(X3,X2)
& sK17 = X3
& nil = sK17 ) )
& ssList(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != sK16
& ssList(X3)
& sK16 = X2
& rearsegP(X3,X2)
& sK17 = X3
& nil = sK17 ) )
=> ( ssList(sK18)
& ? [X3] :
( nil != sK16
& ssList(X3)
& sK16 = sK18
& rearsegP(X3,sK18)
& sK17 = X3
& nil = sK17 ) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( nil != sK16
& ssList(X3)
& sK16 = sK18
& rearsegP(X3,sK18)
& sK17 = X3
& nil = sK17 )
=> ( nil != sK16
& ssList(sK19)
& sK16 = sK18
& rearsegP(sK19,sK18)
& sK19 = sK17
& nil = sK17 ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != X0
& ssList(X3)
& X0 = X2
& rearsegP(X3,X2)
& X1 = X3
& nil = X1 ) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& nil != X0
& nil = X1
& X1 = X3
& rearsegP(X3,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)
=> ( X0 != X2
| nil = X0
| nil != X1
| X1 != X3
| ~ rearsegP(X3,X2) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| nil = X0
| nil != X1
| X1 != X3
| ~ rearsegP(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f380,plain,
ssList(sK16),
inference(cnf_transformation,[],[f254]) ).
fof(f668,plain,
( ~ ssList(sK18)
| sK18 = sK17 ),
inference(resolution,[],[f610,f561]) ).
fof(f561,plain,
rearsegP(sK17,sK18),
inference(definition_unfolding,[],[f384,f383]) ).
fof(f383,plain,
sK19 = sK17,
inference(cnf_transformation,[],[f254]) ).
fof(f384,plain,
rearsegP(sK19,sK18),
inference(cnf_transformation,[],[f254]) ).
fof(f610,plain,
! [X0] :
( ~ rearsegP(sK17,X0)
| sK17 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f548,f382,f382]) ).
fof(f382,plain,
nil = sK17,
inference(cnf_transformation,[],[f254]) ).
fof(f548,plain,
! [X0] :
( nil = X0
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f345]) ).
fof(f345,plain,
! [X0] :
( ( ( nil = X0
| ~ rearsegP(nil,X0) )
& ( rearsegP(nil,X0)
| nil != X0 ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( nil = X0
<=> rearsegP(nil,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> rearsegP(nil,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f559,plain,
sK18 != sK17,
inference(definition_unfolding,[],[f387,f382,f385]) ).
fof(f387,plain,
nil != sK16,
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC044+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % 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 : n008.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 : Tue Aug 30 18:35:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (7593)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)
% 0.19/0.51 % (7615)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)
% 0.19/0.51 % (7601)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)
% 0.19/0.51 % (7598)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)
% 0.19/0.52 % (7617)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (7592)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)
% 0.19/0.53 % (7601)First to succeed.
% 0.19/0.53 % (7607)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)
% 0.19/0.53 % (7595)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)
% 0.19/0.53 % (7613)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (7612)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)
% 0.19/0.53 % (7603)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)
% 0.19/0.53 % (7599)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (7608)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)
% 0.19/0.54 % (7621)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)
% 0.19/0.54 % (7597)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)
% 0.19/0.54 % (7600)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (7619)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)
% 1.44/0.54 % (7596)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.54 % (7616)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.54 % (7601)Refutation found. Thanks to Tanya!
% 1.44/0.54 % SZS status Theorem for theBenchmark
% 1.44/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.54 % (7601)------------------------------
% 1.44/0.54 % (7601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (7601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (7601)Termination reason: Refutation
% 1.44/0.54
% 1.44/0.54 % (7601)Memory used [KB]: 1535
% 1.44/0.54 % (7601)Time elapsed: 0.121 s
% 1.44/0.54 % (7601)Instructions burned: 15 (million)
% 1.44/0.54 % (7601)------------------------------
% 1.44/0.54 % (7601)------------------------------
% 1.44/0.54 % (7591)Success in time 0.192 s
%------------------------------------------------------------------------------