TSTP Solution File: SEU446+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU446+4 : TPTP v8.1.2. Released v3.4.0.
% 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 : n006.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 17:59:33 EDT 2023
% Result : Theorem 56.62s 14.69s
% Output : Refutation 56.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 73 ( 38 unt; 0 def)
% Number of atoms : 120 ( 50 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 80 ( 33 ~; 26 |; 8 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-5 aty)
% Number of variables : 103 (; 97 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f668562,plain,
$false,
inference(subsumption_resolution,[],[f668561,f660959]) ).
fof(f660959,plain,
sF60660 != sF60663,
inference(definition_folding,[],[f352197,f660958,f660957,f660956,f660955]) ).
fof(f660955,plain,
k10_relset_1(sK34800,sK34801,sK34802,sK34800) = sF60660,
introduced(function_definition,[]) ).
fof(f660956,plain,
k6_relset_1(sK34800,sK34801,sK34802) = sF60661,
introduced(function_definition,[]) ).
fof(f660957,plain,
k9_relset_2(sK34801,sK34800,sK34801,sF60661,sK34802) = sF60662,
introduced(function_definition,[]) ).
fof(f660958,plain,
k10_relset_1(sK34801,sK34801,sF60662,sK34801) = sF60663,
introduced(function_definition,[]) ).
fof(f352197,plain,
k10_relset_1(sK34800,sK34801,sK34802,sK34800) != k10_relset_1(sK34801,sK34801,k9_relset_2(sK34801,sK34800,sK34801,k6_relset_1(sK34800,sK34801,sK34802),sK34802),sK34801),
inference(cnf_transformation,[],[f237782]) ).
fof(f237782,plain,
( k10_relset_1(sK34800,sK34801,sK34802,sK34800) != k10_relset_1(sK34801,sK34801,k9_relset_2(sK34801,sK34800,sK34801,k6_relset_1(sK34800,sK34801,sK34802),sK34802),sK34801)
& m2_relset_1(sK34802,sK34800,sK34801) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34800,sK34801,sK34802])],[f73093,f237781]) ).
fof(f237781,plain,
( ? [X0,X1,X2] :
( k10_relset_1(X0,X1,X2,X0) != k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1)
& m2_relset_1(X2,X0,X1) )
=> ( k10_relset_1(sK34800,sK34801,sK34802,sK34800) != k10_relset_1(sK34801,sK34801,k9_relset_2(sK34801,sK34800,sK34801,k6_relset_1(sK34800,sK34801,sK34802),sK34802),sK34801)
& m2_relset_1(sK34802,sK34800,sK34801) ) ),
introduced(choice_axiom,[]) ).
fof(f73093,plain,
? [X0,X1,X2] :
( k10_relset_1(X0,X1,X2,X0) != k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1)
& m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f71141]) ).
fof(f71141,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1) ),
inference(negated_conjecture,[],[f71140]) ).
fof(f71140,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',t58_relset_2) ).
fof(f668561,plain,
sF60660 = sF60663,
inference(forward_demodulation,[],[f668560,f660958]) ).
fof(f668560,plain,
sF60660 = k10_relset_1(sK34801,sK34801,sF60662,sK34801),
inference(forward_demodulation,[],[f668559,f668557]) ).
fof(f668557,plain,
sF60660 = k1_funct_5(sF60661),
inference(forward_demodulation,[],[f668556,f663125]) ).
fof(f663125,plain,
sF60660 = k9_relat_1(sK34802,sK34800),
inference(backward_demodulation,[],[f660955,f662577]) ).
fof(f662577,plain,
! [X11] : k10_relset_1(sK34800,sK34801,sK34802,X11) = k9_relat_1(sK34802,X11),
inference(resolution,[],[f661357,f553483]) ).
fof(f553483,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f179168]) ).
fof(f179168,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1508]) ).
fof(f1508,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',redefinition_k10_relset_1) ).
fof(f661357,plain,
m1_relset_1(sK34802,sK34800,sK34801),
inference(resolution,[],[f352196,f552916]) ).
fof(f552916,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f342323]) ).
fof(f342323,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1483]) ).
fof(f1483,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',redefinition_m2_relset_1) ).
fof(f352196,plain,
m2_relset_1(sK34802,sK34800,sK34801),
inference(cnf_transformation,[],[f237782]) ).
fof(f668556,plain,
k9_relat_1(sK34802,sK34800) = k1_funct_5(sF60661),
inference(forward_demodulation,[],[f668545,f662577]) ).
fof(f668545,plain,
k10_relset_1(sK34800,sK34801,sK34802,sK34800) = k1_funct_5(sF60661),
inference(backward_demodulation,[],[f666371,f668542]) ).
fof(f668542,plain,
sK34802 = k4_relat_1(sF60661),
inference(forward_demodulation,[],[f668202,f663108]) ).
fof(f663108,plain,
sF60661 = k4_relat_1(sK34802),
inference(forward_demodulation,[],[f662546,f660956]) ).
fof(f662546,plain,
k6_relset_1(sK34800,sK34801,sK34802) = k4_relat_1(sK34802),
inference(resolution,[],[f661357,f541817]) ).
fof(f541817,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f171646]) ).
fof(f171646,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1500]) ).
fof(f1500,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',redefinition_k6_relset_1) ).
fof(f668202,plain,
sK34802 = k4_relat_1(k4_relat_1(sK34802)),
inference(resolution,[],[f668166,f395966]) ).
fof(f395966,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f90544]) ).
fof(f90544,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f907]) ).
fof(f907,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',involutiveness_k4_relat_1) ).
fof(f668166,plain,
v1_relat_1(sK34802),
inference(subsumption_resolution,[],[f667854,f630448]) ).
fof(f630448,plain,
! [X0,X1] : v1_relat_1(k2_oposet_1(X0,X1)),
inference(definition_unfolding,[],[f515432,f515495]) ).
fof(f515495,plain,
! [X0,X1] : k2_zfmisc_1(X0,X1) = k2_oposet_1(X0,X1),
inference(cnf_transformation,[],[f60385]) ).
fof(f60385,axiom,
! [X0,X1] : k2_zfmisc_1(X0,X1) = k2_oposet_1(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',d2_oposet_1) ).
fof(f515432,plain,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f11874]) ).
fof(f11874,axiom,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',fc1_sysrel) ).
fof(f667854,plain,
( v1_relat_1(sK34802)
| ~ v1_relat_1(k2_oposet_1(sK34800,sK34801)) ),
inference(resolution,[],[f662631,f517481]) ).
fof(f517481,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f158357]) ).
fof(f158357,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f158356]) ).
fof(f158356,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f700]) ).
fof(f700,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
=> v1_relat_1(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',t3_relat_1) ).
fof(f662631,plain,
r1_tarski(sK34802,k2_oposet_1(sK34800,sK34801)),
inference(resolution,[],[f661357,f641936]) ).
fof(f641936,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| r1_tarski(X2,k2_oposet_1(X0,X1)) ),
inference(definition_unfolding,[],[f552914,f515495]) ).
fof(f552914,plain,
! [X2,X0,X1] :
( r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f342322]) ).
fof(f342322,plain,
! [X0,X1,X2] :
( ( m1_relset_1(X2,X0,X1)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1)) )
& ( r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1423]) ).
fof(f1423,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
<=> r1_tarski(X2,k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',d1_relset_1) ).
fof(f666371,plain,
k1_funct_5(sF60661) = k10_relset_1(sK34800,sK34801,k4_relat_1(sF60661),sK34800),
inference(backward_demodulation,[],[f664403,f665586]) ).
fof(f665586,plain,
k6_relset_1(sK34801,sK34800,sF60661) = k4_relat_1(sF60661),
inference(resolution,[],[f664440,f541817]) ).
fof(f664440,plain,
m1_relset_1(sF60661,sK34801,sK34800),
inference(resolution,[],[f663109,f552916]) ).
fof(f663109,plain,
m2_relset_1(sF60661,sK34801,sK34800),
inference(forward_demodulation,[],[f662547,f660956]) ).
fof(f662547,plain,
m2_relset_1(k6_relset_1(sK34800,sK34801,sK34802),sK34801,sK34800),
inference(resolution,[],[f661357,f541820]) ).
fof(f541820,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f171649]) ).
fof(f171649,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1498]) ).
fof(f1498,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',dt_k6_relset_1) ).
fof(f664403,plain,
k10_relset_1(sK34800,sK34801,k6_relset_1(sK34801,sK34800,sF60661),sK34800) = k1_funct_5(sF60661),
inference(resolution,[],[f663109,f541850]) ).
fof(f541850,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f171667]) ).
fof(f171667,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f71133]) ).
fof(f71133,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',t51_relset_2) ).
fof(f668559,plain,
k10_relset_1(sK34801,sK34801,sF60662,sK34801) = k1_funct_5(sF60661),
inference(forward_demodulation,[],[f668546,f660957]) ).
fof(f668546,plain,
k1_funct_5(sF60661) = k10_relset_1(sK34801,sK34801,k9_relset_2(sK34801,sK34800,sK34801,sF60661,sK34802),sK34801),
inference(backward_demodulation,[],[f666372,f668542]) ).
fof(f666372,plain,
k1_funct_5(sF60661) = k10_relset_1(sK34801,sK34801,k9_relset_2(sK34801,sK34800,sK34801,sF60661,k4_relat_1(sF60661)),sK34801),
inference(backward_demodulation,[],[f664558,f665586]) ).
fof(f664558,plain,
k10_relset_1(sK34801,sK34801,k9_relset_2(sK34801,sK34800,sK34801,sF60661,k6_relset_1(sK34801,sK34800,sF60661)),sK34801) = k1_funct_5(sF60661),
inference(backward_demodulation,[],[f664398,f664403]) ).
fof(f664398,plain,
k10_relset_1(sK34800,sK34801,k6_relset_1(sK34801,sK34800,sF60661),sK34800) = k10_relset_1(sK34801,sK34801,k9_relset_2(sK34801,sK34800,sK34801,sF60661,k6_relset_1(sK34801,sK34800,sF60661)),sK34801),
inference(resolution,[],[f663109,f541843]) ).
fof(f541843,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1) ),
inference(cnf_transformation,[],[f171663]) ).
fof(f171663,plain,
! [X0,X1,X2] :
( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1)
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f71139]) ).
fof(f71139,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1) ),
file('/export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641',t57_relset_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 4.73/4.75 % Problem : SEU446+4 : TPTP v8.1.2. Released v3.4.0.
% 4.73/4.77 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 4.80/4.99 % Computer : n006.cluster.edu
% 4.80/4.99 % Model : x86_64 x86_64
% 4.80/4.99 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 4.80/4.99 % Memory : 8042.1875MB
% 4.80/4.99 % OS : Linux 3.10.0-693.el7.x86_64
% 4.80/4.99 % CPULimit : 300
% 4.80/4.99 % WCLimit : 300
% 4.80/4.99 % DateTime : Wed Aug 23 17:12:11 EDT 2023
% 4.80/4.99 % CPUTime :
% 4.80/4.99 This is a FOF_THM_RFO_SEQ problem
% 4.80/4.99 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.72H3Yyt0zz/Vampire---4.8_12641
% 4.80/4.99 % (13102)Running in auto input_syntax mode. Trying TPTP
% 7.53/7.75 % (13104)lrs-1_4:5_av=off:bd=off:bsr=on:fsd=off:lcm=predicate:nm=4:sos=on:stl=62_630 on Vampire---4 for (630ds/0Mi)
% 7.53/7.75 % (13105)dis-1003_4_aac=none:bd=off:bs=on:bce=on:er=known:fsd=off:fsr=off:gsp=on:gs=on:irw=on:lcm=reverse:nm=16:nicw=on:sas=z3:sims=off:sos=on:sac=on:sp=reverse_arity:tha=off:thf=on:thi=strong:tgt=ground:uwa=ground_585 on Vampire---4 for (585ds/0Mi)
% 7.53/7.75 % (13106)lrs+2_3:4_av=off:bd=preordered:fsd=off:fde=none:lcm=predicate:nm=2:sos=on:sp=reverse_arity:stl=62_548 on Vampire---4 for (548ds/0Mi)
% 7.53/7.75 % (13107)ott+1_13_aac=none:anc=all_dependent:drc=off:er=known:fsd=off:lcm=reverse:nm=2:nwc=2.5:sos=on:sac=on:tgt=ground_543 on Vampire---4 for (543ds/0Mi)
% 7.53/7.75 % (13103)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_634 on Vampire---4 for (634ds/0Mi)
% 7.53/7.75 % (13108)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_487 on Vampire---4 for (487ds/0Mi)
% 7.53/7.75 % (13109)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_476 on Vampire---4 for (476ds/0Mi)
% 56.10/14.63 % (13107)First to succeed.
% 56.62/14.69 % (13107)Refutation found. Thanks to Tanya!
% 56.62/14.69 % SZS status Theorem for Vampire---4
% 56.62/14.69 % SZS output start Proof for Vampire---4
% See solution above
% 56.62/14.69 % (13107)------------------------------
% 56.62/14.69 % (13107)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 56.62/14.69 % (13107)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 56.62/14.69 % (13107)Termination reason: Refutation
% 56.62/14.69
% 56.62/14.69 % (13107)Memory used [KB]: 652825
% 56.62/14.69 % (13107)Time elapsed: 6.892 s
% 56.62/14.69 % (13107)------------------------------
% 56.62/14.69 % (13107)------------------------------
% 56.62/14.69 % (13102)Success in time 9.659 s
% 56.62/14.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------