TSTP Solution File: NUM385+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM385+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n019.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 17:59:19 EDT 2022
% Result : Theorem 0.20s 0.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 54 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 18 ~; 14 |; 1 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(unit_resulting_resolution,[],[f173,f207,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f207,plain,
in(sK6,sK7),
inference(unit_resulting_resolution,[],[f131,f123,f139]) ).
fof(f139,plain,
! [X2] :
( ~ in(X2,set_union2(sK6,singleton(sK6)))
| in(X2,sK7)
| in(X2,singleton(sK7)) ),
inference(superposition,[],[f129,f121]) ).
fof(f121,plain,
set_union2(sK7,singleton(sK7)) = set_union2(sK6,singleton(sK6)),
inference(definition_unfolding,[],[f86,f111,f111]) ).
fof(f111,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f86,plain,
succ(sK6) = succ(sK7),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
? [X1,X0] :
( succ(X0) = succ(X1)
& X0 != X1 ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ! [X1,X0] :
( succ(X0) = succ(X1)
=> X0 = X1 ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X1,X0] :
( succ(X0) = succ(X1)
=> X0 = X1 ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X1,X0] :
( succ(X0) = succ(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_ordinal1) ).
fof(f129,plain,
! [X3,X0,X1] :
( ~ in(X3,set_union2(X1,X0))
| in(X3,X0)
| in(X3,X1) ),
inference(equality_resolution,[],[f104]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2)
| set_union2(X1,X0) != X2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X2,X1,X0] :
( set_union2(X1,X0) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( ( in(X3,X1)
| in(X3,X0) )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f123,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f113,f111]) ).
fof(f113,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f131,plain,
~ in(sK6,singleton(sK7)),
inference(unit_resulting_resolution,[],[f85,f126]) ).
fof(f126,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( singleton(X0) != X1
| ~ in(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( ! [X2] :
( X0 = X2
<=> in(X2,X1) )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f85,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f53]) ).
fof(f173,plain,
in(sK7,sK6),
inference(unit_resulting_resolution,[],[f130,f133,f129]) ).
fof(f133,plain,
in(sK7,set_union2(sK6,singleton(sK6))),
inference(superposition,[],[f123,f121]) ).
fof(f130,plain,
~ in(sK7,singleton(sK6)),
inference(unit_resulting_resolution,[],[f85,f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM385+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.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 06:34:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (19130)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)
% 0.20/0.56 % (19122)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (19130)Instruction limit reached!
% 0.20/0.56 % (19130)------------------------------
% 0.20/0.56 % (19130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (19130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (19130)Termination reason: Unknown
% 0.20/0.56 % (19130)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (19130)Memory used [KB]: 6012
% 0.20/0.56 % (19130)Time elapsed: 0.005 s
% 0.20/0.56 % (19130)Instructions burned: 3 (million)
% 0.20/0.56 % (19130)------------------------------
% 0.20/0.56 % (19130)------------------------------
% 0.20/0.56 % (19116)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.58 % (19138)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)
% 0.20/0.59 % (19119)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (19132)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)
% 0.20/0.59 % (19124)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)
% 0.20/0.60 % (19124)First to succeed.
% 0.20/0.60 % (19128)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)
% 0.20/0.61 % (19124)Refutation found. Thanks to Tanya!
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61 % (19124)------------------------------
% 0.20/0.61 % (19124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (19124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (19124)Termination reason: Refutation
% 0.20/0.61
% 0.20/0.61 % (19124)Memory used [KB]: 6012
% 0.20/0.61 % (19124)Time elapsed: 0.164 s
% 0.20/0.61 % (19124)Instructions burned: 6 (million)
% 0.20/0.61 % (19124)------------------------------
% 0.20/0.61 % (19124)------------------------------
% 0.20/0.61 % (19115)Success in time 0.257 s
%------------------------------------------------------------------------------