TSTP Solution File: SWC129+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC129+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 : n017.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 18:41:55 EDT 2022
% Result : Theorem 1.52s 0.56s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 127 ( 35 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 144 ( 44 ~; 18 |; 66 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 ( 16 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f606,plain,
$false,
inference(subsumption_resolution,[],[f603,f399]) ).
fof(f399,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f603,plain,
~ cyclefreeP(nil),
inference(backward_demodulation,[],[f533,f601]) ).
fof(f601,plain,
nil = sK48,
inference(subsumption_resolution,[],[f600,f544]) ).
fof(f544,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f600,plain,
( ~ ssList(nil)
| nil = sK48 ),
inference(subsumption_resolution,[],[f597,f538]) ).
fof(f538,plain,
ssList(sK48),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
( ssList(sK48)
& sK50 = sK48
& ssList(sK50)
& sK49 = sK47
& ~ neq(sK50,nil)
& ~ cyclefreeP(sK48)
& ssList(sK49)
& ssList(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50])],[f122,f336,f335,f334,f333]) ).
fof(f333,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ssList(X3)
& X0 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ssList(X3)
& sK47 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1) )
& ssList(X2) ) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ssList(X3)
& sK47 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1) )
& ssList(X2) ) )
=> ( ssList(sK48)
& ? [X2] :
( ? [X3] :
( sK48 = X3
& ssList(X3)
& sK47 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(sK48) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X2] :
( ? [X3] :
( sK48 = X3
& ssList(X3)
& sK47 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(sK48) )
& ssList(X2) )
=> ( ? [X3] :
( sK48 = X3
& ssList(X3)
& sK49 = sK47
& ~ neq(X3,nil)
& ~ cyclefreeP(sK48) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
( ? [X3] :
( sK48 = X3
& ssList(X3)
& sK49 = sK47
& ~ neq(X3,nil)
& ~ cyclefreeP(sK48) )
=> ( sK50 = sK48
& ssList(sK50)
& sK49 = sK47
& ~ neq(sK50,nil)
& ~ cyclefreeP(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X1 = X3
& ssList(X3)
& X0 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1) )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ~ cyclefreeP(X1)
& ~ neq(X3,nil)
& X1 = X3
& 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
| cyclefreeP(X1)
| neq(X3,nil)
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| cyclefreeP(X1)
| neq(X3,nil)
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f597,plain,
( nil = sK48
| ~ ssList(sK48)
| ~ ssList(nil) ),
inference(resolution,[],[f497,f556]) ).
fof(f556,plain,
~ neq(sK48,nil),
inference(definition_unfolding,[],[f534,f537]) ).
fof(f537,plain,
sK50 = sK48,
inference(cnf_transformation,[],[f337]) ).
fof(f534,plain,
~ neq(sK50,nil),
inference(cnf_transformation,[],[f337]) ).
fof(f497,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f533,plain,
~ cyclefreeP(sK48),
inference(cnf_transformation,[],[f337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC129+1 : TPTP v8.1.0. Released v2.4.0.
% 0.14/0.13 % 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 : n017.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 17:44:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (12998)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)
% 0.21/0.50 % (13014)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)
% 0.21/0.51 % (13006)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)
% 0.21/0.51 % (13015)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)
% 0.21/0.51 % (12992)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 % (12999)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 % (12995)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)
% 0.21/0.52 % (13001)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)
% 0.21/0.52 % (12999)Instruction limit reached!
% 0.21/0.52 % (12999)------------------------------
% 0.21/0.52 % (12999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (12999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (12999)Termination reason: Unknown
% 0.21/0.52 % (12999)Termination phase: Property scanning
% 0.21/0.52
% 0.21/0.52 % (12999)Memory used [KB]: 1279
% 0.21/0.52 % (12999)Time elapsed: 0.004 s
% 0.21/0.52 % (12999)Instructions burned: 7 (million)
% 0.21/0.52 % (12999)------------------------------
% 0.21/0.52 % (12999)------------------------------
% 0.21/0.52 % (12996)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (13002)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (13000)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (13000)Instruction limit reached!
% 0.21/0.52 % (13000)------------------------------
% 0.21/0.52 % (13000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (13000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (13000)Termination reason: Unknown
% 0.21/0.52 % (13000)Termination phase: Preprocessing 1
% 0.21/0.52
% 0.21/0.52 % (13000)Memory used [KB]: 895
% 0.21/0.52 % (13000)Time elapsed: 0.002 s
% 0.21/0.52 % (13000)Instructions burned: 2 (million)
% 0.21/0.52 % (13000)------------------------------
% 0.21/0.52 % (13000)------------------------------
% 0.21/0.52 % (13007)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)
% 0.21/0.52 % (13021)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)
% 0.21/0.52 % (13008)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)
% 0.21/0.53 % (13019)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 % (12993)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)
% 0.21/0.54 % (13020)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54 % (13013)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54 % (12994)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 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (13005)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (13011)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 % (13017)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55 % (13018)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)
% 0.21/0.55 % (13012)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)
% 0.21/0.55 % (12997)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)
% 0.21/0.55 % (13003)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)
% 1.52/0.55 % (13004)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.52/0.55 % (13009)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.55 % (13010)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.56 % (13015)First to succeed.
% 1.52/0.56 % (13016)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.56 TRYING [1]
% 1.52/0.56 % (13015)Refutation found. Thanks to Tanya!
% 1.52/0.56 % SZS status Theorem for theBenchmark
% 1.52/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56 % (13015)------------------------------
% 1.52/0.56 % (13015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (13015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (13015)Termination reason: Refutation
% 1.52/0.56
% 1.52/0.56 % (13015)Memory used [KB]: 5884
% 1.52/0.56 % (13015)Time elapsed: 0.136 s
% 1.52/0.56 % (13015)Instructions burned: 16 (million)
% 1.52/0.56 % (13015)------------------------------
% 1.52/0.56 % (13015)------------------------------
% 1.52/0.56 % (12991)Success in time 0.198 s
%------------------------------------------------------------------------------