TSTP Solution File: DAT049_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT049_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n011.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 30 22:21:35 EDT 2023
% Result : Theorem 0.23s 0.49s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 16 unt; 8 typ; 0 def)
% Number of atoms : 80 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 34 ~; 22 |; 4 &)
% ( 9 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 90 ( 0 atm; 32 fun; 24 num; 34 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 66 (; 62 !; 4 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f3745,plain,
$false,
inference(subsumption_resolution,[],[f3744,f3723]) ).
tff(f3723,plain,
count(remove(sK1,sK0)) != $sum(-1,count(sK0)),
inference(subsumption_resolution,[],[f3720,f82]) ).
tff(f82,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) != $sum(-1,count(X1)) )
| in(X0,X1) ),
inference(forward_demodulation,[],[f79,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f79,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(remove(X0,X1)) != $sum(count(X1),-1) ) ),
inference(evaluation,[],[f68]) ).
tff(f68,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) )
& ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
file('/export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187',ax5) ).
tff(f3720,plain,
( ( count(remove(sK1,sK0)) != $sum(-1,count(sK0)) )
| ~ in(sK1,sK0) ),
inference(superposition,[],[f3661,f65]) ).
tff(f65,plain,
! [X0: $int,X1: collection] :
( ( count(X1) = count(add(X0,X1)) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(X1) != count(add(X0,X1)) ) )
& ( ( count(X1) = count(add(X0,X1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
<=> ( count(X1) = count(add(X0,X1)) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X15: $int,X16: collection] :
( in(X15,X16)
<=> ( count(add(X15,X16)) = count(X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187',ax4) ).
tff(f3661,plain,
count(remove(sK1,sK0)) != $sum(-1,count(add(sK1,sK0))),
inference(backward_demodulation,[],[f53,f3626]) ).
tff(f3626,plain,
! [X0: $int,X1: collection] : ( count(remove(X0,add(X0,X1))) = $sum(-1,count(add(X0,X1))) ),
inference(unit_resulting_resolution,[],[f59,f83]) ).
tff(f83,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = $sum(-1,count(X1)) )
| ~ in(X0,X1) ),
inference(forward_demodulation,[],[f78,f17]) ).
tff(f78,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = $sum(count(X1),-1) )
| ~ in(X0,X1) ),
inference(evaluation,[],[f67]) ).
tff(f67,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tff(f59,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: collection] : in(X0,add(X0,X1)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: $int,X2: collection] : in(X1,add(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187',ax2) ).
tff(f53,plain,
count(remove(sK1,add(sK1,sK0))) != count(remove(sK1,sK0)),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
count(remove(sK1,add(sK1,sK0))) != count(remove(sK1,sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f40,f42]) ).
tff(f42,plain,
( ? [X0: collection,X1: $int] : ( count(remove(X1,add(X1,X0))) != count(remove(X1,X0)) )
=> ( count(remove(sK1,add(sK1,sK0))) != count(remove(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f40,plain,
? [X0: collection,X1: $int] : ( count(remove(X1,add(X1,X0))) != count(remove(X1,X0)) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X0: collection,X1: $int] : ( count(remove(X1,add(X1,X0))) = count(remove(X1,X0)) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X0: collection,X1: $int] : ( count(remove(X1,add(X1,X0))) = count(remove(X1,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187',co1) ).
tff(f3744,plain,
count(remove(sK1,sK0)) = $sum(-1,count(sK0)),
inference(unit_resulting_resolution,[],[f3724,f83]) ).
tff(f3724,plain,
in(sK1,sK0),
inference(unit_resulting_resolution,[],[f3722,f61]) ).
tff(f61,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) = count(X1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(remove(X0,X1)) != count(X1) ) )
& ( ( count(remove(X0,X1)) = count(X1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(remove(X0,X1)) = count(X1) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X19: $int,X20: collection] :
( ~ in(X19,X20)
<=> ( count(remove(X19,X20)) = count(X20) ) ),
file('/export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187',ax6) ).
tff(f3722,plain,
count(remove(sK1,sK0)) != count(sK0),
inference(subsumption_resolution,[],[f3721,f62]) ).
tff(f62,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) != count(X1) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tff(f3721,plain,
( ( count(remove(sK1,sK0)) != count(sK0) )
| in(sK1,sK0) ),
inference(evaluation,[],[f3719]) ).
tff(f3719,plain,
( ( count(remove(sK1,sK0)) != $sum(-1,$sum(1,count(sK0))) )
| in(sK1,sK0) ),
inference(superposition,[],[f3661,f81]) ).
tff(f81,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(1,count(X1)) )
| in(X0,X1) ),
inference(forward_demodulation,[],[f63,f17]) ).
tff(f63,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) )
& ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X13: $int,X14: collection] :
( ~ in(X13,X14)
<=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
file('/export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187',ax3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : DAT049_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 24 14:52:37 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TF0_THM_EQU_ARI problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187
% 0.16/0.37 % (6496)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (6502)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.23/0.43 % (6505)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.23/0.43 % (6500)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.23/0.43 % (6506)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.23/0.43 % (6503)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.23/0.43 % (6501)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.23/0.44 % (6504)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.23/0.49 % (6506)First to succeed.
% 0.23/0.49 % (6506)Refutation found. Thanks to Tanya!
% 0.23/0.49 % SZS status Theorem for Vampire---4
% 0.23/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.49 % (6506)------------------------------
% 0.23/0.49 % (6506)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (6506)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49 % (6506)Termination reason: Refutation
% 0.23/0.49
% 0.23/0.49 % (6506)Memory used [KB]: 2302
% 0.23/0.49 % (6506)Time elapsed: 0.058 s
% 0.23/0.49 % (6506)------------------------------
% 0.23/0.49 % (6506)------------------------------
% 0.23/0.49 % (6496)Success in time 0.12 s
% 0.23/0.49 6501 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187
% 0.23/0.49 % (6501)------------------------------
% 0.23/0.49 % (6501)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (6501)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49 6502 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187
% 0.23/0.49 % (6502)------------------------------
% 0.23/0.49 % (6502)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (6501)Termination reason: Unknown
% 0.23/0.49 % (6501)Termination phase: Saturation
% 0.23/0.49 % (6502)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49
% 0.23/0.49 % (6502)Termination reason: Unknown
% 0.23/0.49 6503 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.MYIsBcTMIL/Vampire---4.8_6187
% 0.23/0.49 % (6503)------------------------------
% 0.23/0.49 % (6503)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49 % (6501)Memory used [KB]: 5500
% 0.23/0.49 % (6502)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (6501)Time elapsed: 0.059 s
% 0.23/0.49 % (6503)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49 % (6501)------------------------------
% 0.23/0.49 % (6501)------------------------------
% 0.23/0.49 % (6502)Memory used [KB]: 5500
% 0.23/0.49 % (6503)Termination reason: Unknown
% 0.23/0.49 % (6502)Time elapsed: 0.064 s
% 0.23/0.49 % (6503)Termination phase: Saturation
% 0.23/0.49 % (6502)------------------------------
% 0.23/0.49 % (6502)------------------------------
% 0.23/0.49
% 0.23/0.49 % (6503)Memory used [KB]: 1023
% 0.23/0.49 % (6503)Time elapsed: 0.059 s
% 0.23/0.49 % (6503)------------------------------
% 0.23/0.49 % (6503)------------------------------
% 0.23/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------