TSTP Solution File: DAT041_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT041_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n014.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 16:03:59 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 15 unt; 6 typ; 0 def)
% Number of atoms : 29 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 5 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 49 ( 12 atm; 8 fun; 8 num; 21 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 31 !; 8 ?; 39 :)
% 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(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f134,plain,
$false,
inference(resolution,[],[f117,f70]) ).
tff(f70,plain,
! [X0: collection,X1: $int] : in(X1,add(X1,X0)),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: collection,X1: $int] : in(X1,add(X1,X0)),
inference(rectify,[],[f30]) ).
tff(f30,plain,
! [X1: collection,X0: $int] : in(X0,add(X0,X1)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: $int,X2: collection] : in(X1,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f117,plain,
! [X2: $int,X3: collection] : ~ in(X2,X3),
inference(subsumption_resolution,[],[f116,f23]) ).
tff(f23,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f116,plain,
! [X2: $int,X3: collection] :
( ~ in(X2,X3)
| $less(count(X3),count(X3)) ),
inference(superposition,[],[f85,f72]) ).
tff(f72,plain,
! [X0: $int,X1: collection] :
( ( count(X1) = count(add(X0,X1)) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,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,[],[f37]) ).
tff(f37,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/benchmark/theBenchmark.p',ax4) ).
tff(f85,plain,
! [X0: collection,X1: $int] : $less(count(X0),count(add(X1,X0))),
inference(resolution,[],[f77,f27]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f77,plain,
! [X0: collection,X1: $int] : ~ $less(count(add(X1,X0)),$sum(count(X0),1)),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: collection,X1: $int] : ~ $less(count(add(X1,X0)),$sum(count(X0),1)),
inference(rectify,[],[f43]) ).
tff(f43,plain,
! [X1: collection,X0: $int] : ~ $less(count(add(X0,X1)),$sum(count(X1),1)),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
~ ? [X1: collection,X0: $int] : $less(count(add(X0,X1)),$sum(count(X1),1)),
inference(rectify,[],[f17]) ).
tff(f17,plain,
~ ? [X1: $int,X0: collection] : $less(count(add(X1,X0)),$sum(count(X0),1)),
inference(theory_normalization,[],[f14]) ).
tff(f14,negated_conjecture,
~ ? [X1: $int,X0: collection] : $greater($sum(count(X0),1),count(add(X1,X0))),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
? [X1: $int,X0: collection] : $greater($sum(count(X0),1),count(add(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : DAT041=1 : TPTP v8.1.0. Released v5.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 20:18:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (13384)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48 % (13374)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.20/0.48 % (13384)Instruction limit reached!
% 0.20/0.48 % (13384)------------------------------
% 0.20/0.48 % (13384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (13384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (13384)Termination reason: Unknown
% 0.20/0.48 % (13384)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (13384)Memory used [KB]: 1023
% 0.20/0.48 % (13384)Time elapsed: 0.004 s
% 0.20/0.48 % (13384)Instructions burned: 2 (million)
% 0.20/0.48 % (13384)------------------------------
% 0.20/0.48 % (13384)------------------------------
% 0.20/0.51 % (13372)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (13374)Instruction limit reached!
% 0.20/0.52 % (13374)------------------------------
% 0.20/0.52 % (13374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (13374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (13374)Termination reason: Unknown
% 0.20/0.52 % (13374)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (13374)Memory used [KB]: 6012
% 0.20/0.52 % (13374)Time elapsed: 0.086 s
% 0.20/0.52 % (13374)Instructions burned: 32 (million)
% 0.20/0.52 % (13374)------------------------------
% 0.20/0.52 % (13374)------------------------------
% 0.20/0.52 % (13390)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.52 % (13368)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.52 % (13371)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (13369)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52 % (13373)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (13371)Instruction limit reached!
% 0.20/0.52 % (13371)------------------------------
% 0.20/0.52 % (13371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (13371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (13371)Termination reason: Unknown
% 0.20/0.52 % (13371)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (13371)Memory used [KB]: 895
% 0.20/0.52 % (13371)Time elapsed: 0.002 s
% 0.20/0.52 % (13371)Instructions burned: 2 (million)
% 0.20/0.52 % (13371)------------------------------
% 0.20/0.52 % (13371)------------------------------
% 0.20/0.53 % (13380)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (13376)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.53 % (13377)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (13370)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (13383)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (13382)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (13397)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.54 % (13395)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (13370)Instruction limit reached!
% 0.20/0.54 % (13370)------------------------------
% 0.20/0.54 % (13370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13383)Instruction limit reached!
% 0.20/0.54 % (13383)------------------------------
% 0.20/0.54 % (13383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13383)Termination reason: Unknown
% 0.20/0.54 % (13396)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.54 % (13383)Termination phase: Preprocessing 2
% 0.20/0.54
% 0.20/0.54 % (13383)Memory used [KB]: 895
% 0.20/0.54 % (13383)Time elapsed: 0.004 s
% 0.20/0.54 % (13383)Instructions burned: 2 (million)
% 0.20/0.54 % (13383)------------------------------
% 0.20/0.54 % (13383)------------------------------
% 0.20/0.54 % (13375)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.54 % (13386)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (13377)Instruction limit reached!
% 0.20/0.54 % (13377)------------------------------
% 0.20/0.54 % (13377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13375)First to succeed.
% 0.20/0.54 % (13377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13377)Termination reason: Unknown
% 0.20/0.54 % (13377)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (13377)Memory used [KB]: 895
% 0.20/0.54 % (13377)Time elapsed: 0.004 s
% 0.20/0.54 % (13377)Instructions burned: 2 (million)
% 0.20/0.54 % (13377)------------------------------
% 0.20/0.54 % (13377)------------------------------
% 0.20/0.54 % (13375)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (13375)------------------------------
% 0.20/0.54 % (13375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13375)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (13375)Memory used [KB]: 5500
% 0.20/0.54 % (13375)Time elapsed: 0.106 s
% 0.20/0.54 % (13375)Instructions burned: 4 (million)
% 0.20/0.54 % (13375)------------------------------
% 0.20/0.54 % (13375)------------------------------
% 0.20/0.54 % (13367)Success in time 0.181 s
%------------------------------------------------------------------------------