TSTP Solution File: SWV142+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV142+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n008.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 : Thu Aug 31 23:07:51 EDT 2023
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 13 unt; 0 def)
% Number of atoms : 222 ( 14 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 238 ( 73 ~; 76 |; 56 &)
% ( 5 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 30 (; 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f607,plain,
$false,
inference(avatar_sat_refutation,[],[f391,f429,f439,f531,f557,f606]) ).
fof(f606,plain,
( spl31_1
| ~ spl31_9 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| spl31_1
| ~ spl31_9 ),
inference(subsumption_resolution,[],[f602,f247]) ).
fof(f247,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680',gt_1_0) ).
fof(f602,plain,
( ~ gt(n1,n0)
| spl31_1
| ~ spl31_9 ),
inference(superposition,[],[f379,f428]) ).
fof(f428,plain,
( n1 = loopcounter
| ~ spl31_9 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl31_9
<=> n1 = loopcounter ),
introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).
fof(f379,plain,
( ~ gt(loopcounter,n0)
| spl31_1 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl31_1
<=> gt(loopcounter,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f557,plain,
( ~ spl31_8
| ~ spl31_11 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f556,plain,
( $false
| ~ spl31_8
| ~ spl31_11 ),
inference(subsumption_resolution,[],[f555,f259]) ).
fof(f259,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680',irreflexivity_gt) ).
fof(f555,plain,
( gt(n1,n1)
| ~ spl31_8
| ~ spl31_11 ),
inference(forward_demodulation,[],[f550,f253]) ).
fof(f253,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680',successor_1) ).
fof(f550,plain,
( gt(succ(n0),n1)
| ~ spl31_8
| ~ spl31_11 ),
inference(superposition,[],[f496,f438]) ).
fof(f438,plain,
( n0 = loopcounter
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl31_11
<=> n0 = loopcounter ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f496,plain,
( gt(succ(loopcounter),n1)
| ~ spl31_8 ),
inference(resolution,[],[f451,f261]) ).
fof(f261,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680',gt_succ) ).
fof(f451,plain,
( ! [X0] :
( ~ gt(X0,loopcounter)
| gt(X0,n1) )
| ~ spl31_8 ),
inference(resolution,[],[f424,f313]) ).
fof(f313,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680',transitivity_gt) ).
fof(f424,plain,
( gt(loopcounter,n1)
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl31_8
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f531,plain,
( ~ spl31_8
| ~ spl31_10 ),
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f530,plain,
( $false
| ~ spl31_8
| ~ spl31_10 ),
inference(subsumption_resolution,[],[f527,f259]) ).
fof(f527,plain,
( gt(n1,n1)
| ~ spl31_8
| ~ spl31_10 ),
inference(resolution,[],[f511,f451]) ).
fof(f511,plain,
( gt(n1,loopcounter)
| ~ spl31_10 ),
inference(forward_demodulation,[],[f504,f253]) ).
fof(f504,plain,
( gt(succ(n0),loopcounter)
| ~ spl31_10 ),
inference(resolution,[],[f453,f261]) ).
fof(f453,plain,
( ! [X0] :
( ~ gt(X0,n0)
| gt(X0,loopcounter) )
| ~ spl31_10 ),
inference(resolution,[],[f434,f313]) ).
fof(f434,plain,
( gt(n0,loopcounter)
| ~ spl31_10 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl31_10
<=> gt(n0,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).
fof(f439,plain,
( spl31_10
| spl31_11
| spl31_1 ),
inference(avatar_split_clause,[],[f430,f377,f436,f432]) ).
fof(f430,plain,
( n0 = loopcounter
| gt(n0,loopcounter)
| spl31_1 ),
inference(resolution,[],[f379,f283]) ).
fof(f283,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680',totality) ).
fof(f429,plain,
( spl31_8
| spl31_9 ),
inference(avatar_split_clause,[],[f420,f426,f422]) ).
fof(f420,plain,
( n1 = loopcounter
| gt(loopcounter,n1) ),
inference(resolution,[],[f217,f290]) ).
fof(f290,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680',leq_gt2) ).
fof(f217,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ~ leq(s_best7,n3)
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ~ leq(s_best7,n3)
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341) )
=> leq(s_best7,n3) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341) )
=> leq(s_best7,n3) ),
file('/export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680',gauss_array_0012) ).
fof(f391,plain,
~ spl31_1,
inference(avatar_split_clause,[],[f390,f377]) ).
fof(f390,plain,
~ gt(loopcounter,n0),
inference(subsumption_resolution,[],[f227,f230]) ).
fof(f230,plain,
~ leq(s_best7,n3),
inference(cnf_transformation,[],[f109]) ).
fof(f227,plain,
( leq(s_best7,n3)
| ~ gt(loopcounter,n0) ),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.14 % Problem : SWV142+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 02:49:02 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.TMchsShV4K/Vampire---4.8_9680
% 0.15/0.37 % (9787)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43 % (9792)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.15/0.43 % (9789)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.15/0.43 % (9793)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.15/0.43 % (9790)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.15/0.43 % (9791)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.15/0.43 % (9788)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.15/0.43 % (9794)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.44 % (9794)First to succeed.
% 0.23/0.44 % (9791)Also succeeded, but the first one will report.
% 0.23/0.45 % (9794)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45 % (9794)------------------------------
% 0.23/0.45 % (9794)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (9794)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (9794)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (9794)Memory used [KB]: 5884
% 0.23/0.45 % (9794)Time elapsed: 0.012 s
% 0.23/0.45 % (9794)------------------------------
% 0.23/0.45 % (9794)------------------------------
% 0.23/0.45 % (9787)Success in time 0.075 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------