TSTP Solution File: SWC026+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC026+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 : n011.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 18:41:16 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 190 ( 149 equ)
% Maximal formula atoms : 28 ( 8 avg)
% Number of connectives : 233 ( 65 ~; 52 |; 104 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f607,plain,
$false,
inference(subsumption_resolution,[],[f606,f604]) ).
fof(f604,plain,
nil = sK42,
inference(trivial_inequality_removal,[],[f602]) ).
fof(f602,plain,
( nil != nil
| nil = sK42 ),
inference(backward_demodulation,[],[f497,f601]) ).
fof(f601,plain,
nil = sK41,
inference(subsumption_resolution,[],[f560,f495]) ).
fof(f495,plain,
( nil != sK42
| nil = sK41 ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
( ( ( nil = sK39
& nil != sK40 )
| ( nil != sK39
& nil = sK40 ) )
& ( nil = sK42
| nil != sK41 )
& sK39 = sK41
& ( nil = sK41
| nil != sK42 )
& sK40 = sK42
& ssList(sK42)
& ssList(sK41)
& ssList(sK40)
& ssList(sK39) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42])],[f100,f313,f312,f311,f310]) ).
fof(f310,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X0
& nil != X1 )
| ( nil != X0
& nil = X1 ) )
& ( nil = X3
| nil != X2 )
& X0 = X2
& ( nil = X2
| nil != X3 )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = sK39
& nil != X1 )
| ( nil != sK39
& nil = X1 ) )
& ( nil = X3
| nil != X2 )
& sK39 = X2
& ( nil = X2
| nil != X3 )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = sK39
& nil != X1 )
| ( nil != sK39
& nil = X1 ) )
& ( nil = X3
| nil != X2 )
& sK39 = X2
& ( nil = X2
| nil != X3 )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = sK39
& nil != sK40 )
| ( nil != sK39
& nil = sK40 ) )
& ( nil = X3
| nil != X2 )
& sK39 = X2
& ( nil = X2
| nil != X3 )
& sK40 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = sK39
& nil != sK40 )
| ( nil != sK39
& nil = sK40 ) )
& ( nil = X3
| nil != X2 )
& sK39 = X2
& ( nil = X2
| nil != X3 )
& sK40 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK39
& nil != sK40 )
| ( nil != sK39
& nil = sK40 ) )
& ( nil = X3
| nil != sK41 )
& sK39 = sK41
& ( nil = sK41
| nil != X3 )
& sK40 = X3
& ssList(X3) )
& ssList(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
( ? [X3] :
( ( ( nil = sK39
& nil != sK40 )
| ( nil != sK39
& nil = sK40 ) )
& ( nil = X3
| nil != sK41 )
& sK39 = sK41
& ( nil = sK41
| nil != X3 )
& sK40 = X3
& ssList(X3) )
=> ( ( ( nil = sK39
& nil != sK40 )
| ( nil != sK39
& nil = sK40 ) )
& ( nil = sK42
| nil != sK41 )
& sK39 = sK41
& ( nil = sK41
| nil != sK42 )
& sK40 = sK42
& ssList(sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X0
& nil != X1 )
| ( nil != X0
& nil = X1 ) )
& ( nil = X3
| nil != X2 )
& X0 = X2
& ( nil = X2
| nil != X3 )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil = X2
| nil != X3 )
& ( nil = X3
| nil != X2 )
& X0 = X2
& X1 = X3
& ( ( nil = X0
& nil != X1 )
| ( nil != X0
& nil = X1 ) )
& 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)
=> ( ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| X0 != X2
| X1 != X3
| ( ( nil = X0
| nil != X1 )
& ( nil = X1
| nil != X0 ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| X0 != X2
| X1 != X3
| ( ( nil = X0
| nil != X1 )
& ( nil = X1
| nil != X0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f560,plain,
( nil = sK42
| nil = sK41 ),
inference(definition_unfolding,[],[f500,f496,f494]) ).
fof(f494,plain,
sK40 = sK42,
inference(cnf_transformation,[],[f314]) ).
fof(f496,plain,
sK39 = sK41,
inference(cnf_transformation,[],[f314]) ).
fof(f500,plain,
( nil = sK39
| nil = sK40 ),
inference(cnf_transformation,[],[f314]) ).
fof(f497,plain,
( nil = sK42
| nil != sK41 ),
inference(cnf_transformation,[],[f314]) ).
fof(f606,plain,
nil != sK42,
inference(subsumption_resolution,[],[f561,f601]) ).
fof(f561,plain,
( nil != sK41
| nil != sK42 ),
inference(definition_unfolding,[],[f499,f494,f496]) ).
fof(f499,plain,
( nil != sK40
| nil != sK39 ),
inference(cnf_transformation,[],[f314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC026+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 17:56:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (7043)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (7055)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)
% 0.20/0.51 % (7035)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)
% 0.20/0.51 % (7036)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)
% 0.20/0.51 % (7038)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)
% 0.20/0.51 % (7058)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (7050)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (7037)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (7062)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)
% 0.20/0.51 % (7052)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)
% 0.20/0.52 % (7055)First to succeed.
% 0.20/0.52 % (7047)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)
% 0.20/0.52 % (7056)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)
% 0.20/0.52 % (7041)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 % (7041)Instruction limit reached!
% 0.20/0.52 % (7041)------------------------------
% 0.20/0.52 % (7041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7041)Termination reason: Unknown
% 0.20/0.52 % (7041)Termination phase: Preprocessing 2
% 0.20/0.52
% 0.20/0.52 % (7041)Memory used [KB]: 1023
% 0.20/0.52 % (7041)Time elapsed: 0.002 s
% 0.20/0.52 % (7041)Instructions burned: 2 (million)
% 0.20/0.52 % (7041)------------------------------
% 0.20/0.52 % (7041)------------------------------
% 0.20/0.52 % (7033)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)
% 0.20/0.52 % (7039)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)
% 0.20/0.52 % (7034)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 % (7055)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (7055)------------------------------
% 0.20/0.52 % (7055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7055)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (7055)Memory used [KB]: 1407
% 0.20/0.52 % (7055)Time elapsed: 0.091 s
% 0.20/0.52 % (7055)Instructions burned: 12 (million)
% 0.20/0.52 % (7055)------------------------------
% 0.20/0.52 % (7055)------------------------------
% 0.20/0.52 % (7032)Success in time 0.176 s
%------------------------------------------------------------------------------