TSTP Solution File: SWC150+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC150+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 : n001.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 18:42:01 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 110 ( 27 equ)
% Maximal formula atoms : 18 ( 7 avg)
% Number of connectives : 127 ( 31 ~; 8 |; 76 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 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 : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f593,plain,
$false,
inference(subsumption_resolution,[],[f516,f556]) ).
fof(f556,plain,
~ neq(sK50,nil),
inference(definition_unfolding,[],[f517,f515]) ).
fof(f515,plain,
sK52 = sK50,
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
( ~ neq(sK52,nil)
& neq(sK50,nil)
& sK52 = sK50
& ssList(sK52)
& ~ singletonP(sK50)
& sK49 = sK51
& ssList(sK51)
& ssList(sK50)
& ssList(sK49) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51,sK52])],[f193,f326,f325,f324,f323]) ).
fof(f323,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& neq(X1,nil)
& X1 = X3
& ssList(X3)
& ~ singletonP(X1)
& X0 = X2 )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& neq(X1,nil)
& X1 = X3
& ssList(X3)
& ~ singletonP(X1)
& sK49 = X2 )
& ssList(X2) )
& ssList(X1) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& neq(X1,nil)
& X1 = X3
& ssList(X3)
& ~ singletonP(X1)
& sK49 = X2 )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& neq(sK50,nil)
& sK50 = X3
& ssList(X3)
& ~ singletonP(sK50)
& sK49 = X2 )
& ssList(X2) )
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& neq(sK50,nil)
& sK50 = X3
& ssList(X3)
& ~ singletonP(sK50)
& sK49 = X2 )
& ssList(X2) )
=> ( ? [X3] :
( ~ neq(X3,nil)
& neq(sK50,nil)
& sK50 = X3
& ssList(X3)
& ~ singletonP(sK50)
& sK49 = sK51 )
& ssList(sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
( ? [X3] :
( ~ neq(X3,nil)
& neq(sK50,nil)
& sK50 = X3
& ssList(X3)
& ~ singletonP(sK50)
& sK49 = sK51 )
=> ( ~ neq(sK52,nil)
& neq(sK50,nil)
& sK52 = sK50
& ssList(sK52)
& ~ singletonP(sK50)
& sK49 = sK51 ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& neq(X1,nil)
& X1 = X3
& ssList(X3)
& ~ singletonP(X1)
& X0 = X2 )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& X1 = X3
& X0 = X2
& ~ neq(X3,nil)
& ~ singletonP(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)
=> ( ~ neq(X1,nil)
| X1 != X3
| X0 != X2
| neq(X3,nil)
| singletonP(X1) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ neq(X1,nil)
| X1 != X3
| X0 != X2
| neq(X3,nil)
| singletonP(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f517,plain,
~ neq(sK52,nil),
inference(cnf_transformation,[],[f327]) ).
fof(f516,plain,
neq(sK50,nil),
inference(cnf_transformation,[],[f327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC150+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % 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 : n001.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 18:48:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (14831)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (14828)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (14842)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (14824)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 % (14832)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (14844)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 % (14826)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)
% 0.19/0.53 % (14836)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (14831)Instruction limit reached!
% 0.19/0.53 % (14831)------------------------------
% 0.19/0.53 % (14831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (14831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (14831)Termination reason: Unknown
% 0.19/0.53 % (14831)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (14831)Memory used [KB]: 1279
% 0.19/0.53 % (14831)Time elapsed: 0.005 s
% 0.19/0.53 % (14831)Instructions burned: 7 (million)
% 0.19/0.53 % (14831)------------------------------
% 0.19/0.53 % (14831)------------------------------
% 0.19/0.53 % (14845)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 % (14846)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)
% 0.19/0.54 % (14832)Instruction limit reached!
% 0.19/0.54 % (14832)------------------------------
% 0.19/0.54 % (14832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (14832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (14832)Termination reason: Unknown
% 0.19/0.54 % (14832)Termination phase: Preprocessing 1
% 0.19/0.54
% 0.19/0.54 % (14832)Memory used [KB]: 895
% 0.19/0.54 % (14832)Time elapsed: 0.004 s
% 0.19/0.54 % (14832)Instructions burned: 2 (million)
% 0.19/0.54 % (14832)------------------------------
% 0.19/0.54 % (14832)------------------------------
% 0.19/0.54 % (14834)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (14826)First to succeed.
% 0.19/0.54 % (14848)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (14829)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 % (14825)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)
% 0.19/0.54 % (14837)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (14841)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (14847)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)
% 0.19/0.54 % (14839)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)
% 0.19/0.54 % (14851)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)
% 0.19/0.55 % (14853)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)
% 0.19/0.55 % (14838)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)
% 0.19/0.55 % (14827)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)
% 0.19/0.55 % (14850)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)
% 0.19/0.55 % (14840)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)
% 0.19/0.55 % (14833)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)
% 0.19/0.55 % (14830)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)
% 0.19/0.56 % (14843)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)
% 0.19/0.56 % (14849)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 % (14846)Also succeeded, but the first one will report.
% 0.19/0.56 % (14826)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (14826)------------------------------
% 0.19/0.56 % (14826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (14826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (14826)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (14826)Memory used [KB]: 1407
% 0.19/0.56 % (14826)Time elapsed: 0.009 s
% 0.19/0.56 % (14826)Instructions burned: 13 (million)
% 0.19/0.56 % (14826)------------------------------
% 0.19/0.56 % (14826)------------------------------
% 0.19/0.56 % (14823)Success in time 0.212 s
%------------------------------------------------------------------------------