TSTP Solution File: SWC144+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC144+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_uns --cores 0 -t %d %s
% Computer : n013.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 18:39:05 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% 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 : 126 ( 30 ~; 8 |; 76 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 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(f709,plain,
$false,
inference(subsumption_resolution,[],[f558,f508]) ).
fof(f508,plain,
~ neq(sK49,nil),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
( ssList(sK46)
& ssList(sK47)
& neq(sK47,nil)
& ~ neq(sK49,nil)
& ~ singletonP(sK47)
& ssList(sK49)
& sK47 = sK49
& sK46 = sK48
& ssList(sK48) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49])],[f174,f326,f325,f324,f323]) ).
fof(f323,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ~ neq(X3,nil)
& ~ singletonP(X1)
& ssList(X3)
& X1 = X3
& X0 = X2 )
& ssList(X2) ) ) )
=> ( ssList(sK46)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ~ neq(X3,nil)
& ~ singletonP(X1)
& ssList(X3)
& X1 = X3
& sK46 = X2 )
& ssList(X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ~ neq(X3,nil)
& ~ singletonP(X1)
& ssList(X3)
& X1 = X3
& sK46 = X2 )
& ssList(X2) ) )
=> ( ssList(sK47)
& ? [X2] :
( ? [X3] :
( neq(sK47,nil)
& ~ neq(X3,nil)
& ~ singletonP(sK47)
& ssList(X3)
& sK47 = X3
& sK46 = X2 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
( ? [X2] :
( ? [X3] :
( neq(sK47,nil)
& ~ neq(X3,nil)
& ~ singletonP(sK47)
& ssList(X3)
& sK47 = X3
& sK46 = X2 )
& ssList(X2) )
=> ( ? [X3] :
( neq(sK47,nil)
& ~ neq(X3,nil)
& ~ singletonP(sK47)
& ssList(X3)
& sK47 = X3
& sK46 = sK48 )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
( ? [X3] :
( neq(sK47,nil)
& ~ neq(X3,nil)
& ~ singletonP(sK47)
& ssList(X3)
& sK47 = X3
& sK46 = sK48 )
=> ( neq(sK47,nil)
& ~ neq(sK49,nil)
& ~ singletonP(sK47)
& ssList(sK49)
& sK47 = sK49
& sK46 = sK48 ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ~ neq(X3,nil)
& ~ singletonP(X1)
& ssList(X3)
& X1 = X3
& X0 = X2 )
& ssList(X2) ) ) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& ~ singletonP(X1)
& neq(X1,nil)
& X1 = X3
& 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)
=> ( neq(X3,nil)
| singletonP(X1)
| ~ neq(X1,nil)
| X1 != X3
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( neq(X3,nil)
| singletonP(X1)
| ~ neq(X1,nil)
| X1 != X3
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f558,plain,
neq(sK49,nil),
inference(definition_unfolding,[],[f509,f505]) ).
fof(f505,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f327]) ).
fof(f509,plain,
neq(sK47,nil),
inference(cnf_transformation,[],[f327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC144+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31 % Computer : n013.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 18:23:02 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.44 % (23228)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.44 % (23208)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.45 % (23220)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.45 % (23216)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.45 % (23226)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.45 % (23233)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.15/0.45 % (23218)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.45 % (23212)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.46 % (23218)Instruction limit reached!
% 0.15/0.46 % (23218)------------------------------
% 0.15/0.46 % (23218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (23218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46 % (23218)Termination reason: Unknown
% 0.15/0.46 % (23218)Termination phase: shuffling
% 0.15/0.46
% 0.15/0.46 % (23218)Memory used [KB]: 1535
% 0.15/0.46 % (23218)Time elapsed: 0.006 s
% 0.15/0.46 % (23218)Instructions burned: 3 (million)
% 0.15/0.46 % (23218)------------------------------
% 0.15/0.46 % (23218)------------------------------
% 0.15/0.46 % (23228)First to succeed.
% 0.15/0.46 % (23217)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.46 % (23225)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.46 % (23209)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.46 % (23211)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.47 % (23228)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (23228)------------------------------
% 0.15/0.47 % (23228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (23228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (23228)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (23228)Memory used [KB]: 6396
% 0.15/0.47 % (23228)Time elapsed: 0.094 s
% 0.15/0.47 % (23228)Instructions burned: 12 (million)
% 0.15/0.47 % (23228)------------------------------
% 0.15/0.47 % (23228)------------------------------
% 0.15/0.47 % (23203)Success in time 0.152 s
%------------------------------------------------------------------------------