TSTP Solution File: DAT034_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT034_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 16:03:58 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 42 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 10 |; 2 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 72 ( 14 atm; 20 fun; 22 num; 16 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 : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 26 !; 4 ?; 30 :)
% 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: $int ).
tff(func_def_10,type,
sK1: collection ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f98,plain,
$false,
inference(subsumption_resolution,[],[f94,f96]) ).
tff(f96,plain,
~ in(sK0,sK1),
inference(evaluation,[],[f95]) ).
tff(f95,plain,
( ~ in(sK0,sK1)
| $less(1,0) ),
inference(cancellation,[],[f90]) ).
tff(f90,plain,
( $less($sum(1,count(sK1)),count(sK1))
| ~ in(sK0,sK1) ),
inference(superposition,[],[f85,f58]) ).
tff(f58,plain,
! [X0: collection,X1: $int] :
( ( count(X0) = count(add(X1,X0)) )
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: collection,X1: $int] :
( ( in(X1,X0)
| ( count(X0) != count(add(X1,X0)) ) )
& ( ( count(X0) = count(add(X1,X0)) )
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: collection,X1: $int] :
( in(X1,X0)
<=> ( count(X0) = count(add(X1,X0)) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X16: collection,X15: $int] :
( in(X15,X16)
<=> ( count(add(X15,X16)) = count(X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f85,plain,
$less($sum(1,count(sK1)),count(add(sK0,sK1))),
inference(forward_demodulation,[],[f62,f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f62,plain,
$less($sum(count(sK1),1),count(add(sK0,sK1))),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
$less($sum(count(sK1),1),count(add(sK0,sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f46]) ).
tff(f46,plain,
( ? [X0: $int,X1: collection] : $less($sum(count(X1),1),count(add(X0,X1)))
=> $less($sum(count(sK1),1),count(add(sK0,sK1))) ),
introduced(choice_axiom,[]) ).
tff(f43,plain,
? [X0: $int,X1: collection] : $less($sum(count(X1),1),count(add(X0,X1))),
inference(ennf_transformation,[],[f37]) ).
tff(f37,plain,
~ ! [X1: collection,X0: $int] : ~ $less($sum(count(X1),1),count(add(X0,X1))),
inference(rectify,[],[f17]) ).
tff(f17,plain,
~ ! [X1: $int,X0: collection] : ~ $less($sum(count(X0),1),count(add(X1,X0))),
inference(theory_normalization,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X1: $int,X0: collection] : $greatereq($sum(count(X0),1),count(add(X1,X0))),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X1: $int,X0: collection] : $greatereq($sum(count(X0),1),count(add(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f94,plain,
in(sK0,sK1),
inference(evaluation,[],[f93]) ).
tff(f93,plain,
( in(sK0,sK1)
| $less(0,0) ),
inference(cancellation,[],[f91]) ).
tff(f91,plain,
( $less($sum(1,count(sK1)),$sum(count(sK1),1))
| in(sK0,sK1) ),
inference(superposition,[],[f85,f64]) ).
tff(f64,plain,
! [X0: $int,X1: collection] :
( ( $sum(count(X1),1) = count(add(X0,X1)) )
| in(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( $sum(count(X1),1) != count(add(X0,X1)) ) )
& ( ( $sum(count(X1),1) = count(add(X0,X1)) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
<=> ( $sum(count(X1),1) = count(add(X0,X1)) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X13: $int,X14: collection] :
( ~ in(X13,X14)
<=> ( count(add(X13,X14)) = $sum(count(X14),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT034=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 20:18:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (11092)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)
% 0.21/0.50 % (11083)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.50 % (11072)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)
% 0.21/0.51 % (11074)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)
% 0.21/0.51 % (11099)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)
% 0.21/0.51 % (11071)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)
% 0.21/0.51 % (11070)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)
% 0.21/0.51 % (11071)Instruction limit reached!
% 0.21/0.51 % (11071)------------------------------
% 0.21/0.51 % (11071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (11071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (11071)Termination reason: Unknown
% 0.21/0.51 % (11071)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (11071)Memory used [KB]: 1023
% 0.21/0.51 % (11071)Time elapsed: 0.003 s
% 0.21/0.51 % (11071)Instructions burned: 3 (million)
% 0.21/0.51 % (11071)------------------------------
% 0.21/0.51 % (11071)------------------------------
% 0.21/0.51 % (11084)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)
% 0.21/0.52 % (11085)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)
% 0.21/0.52 % (11085)Instruction limit reached!
% 0.21/0.52 % (11085)------------------------------
% 0.21/0.52 % (11085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (11085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (11085)Termination reason: Unknown
% 0.21/0.52 % (11085)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (11085)Memory used [KB]: 5500
% 0.21/0.52 % (11085)Time elapsed: 0.003 s
% 0.21/0.52 % (11085)Instructions burned: 3 (million)
% 0.21/0.52 % (11085)------------------------------
% 0.21/0.52 % (11085)------------------------------
% 0.21/0.52 % (11091)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.52 % (11087)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (11081)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.52 % (11080)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.21/0.52 % (11095)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.53 % (11070)Instruction limit reached!
% 0.21/0.53 % (11070)------------------------------
% 0.21/0.53 % (11070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11089)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (11086)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (11082)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)
% 0.21/0.53 % (11086)Instruction limit reached!
% 0.21/0.53 % (11086)------------------------------
% 0.21/0.53 % (11086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11070)Termination reason: Unknown
% 0.21/0.53 % (11070)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11070)Memory used [KB]: 5628
% 0.21/0.53 % (11070)Time elapsed: 0.112 s
% 0.21/0.53 % (11070)Instructions burned: 9 (million)
% 0.21/0.53 % (11070)------------------------------
% 0.21/0.53 % (11070)------------------------------
% 0.21/0.53 % (11093)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (11086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11086)Termination reason: Unknown
% 0.21/0.53 % (11086)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11086)Memory used [KB]: 5500
% 0.21/0.53 % (11086)Time elapsed: 0.004 s
% 0.21/0.53 % (11086)Instructions burned: 3 (million)
% 0.21/0.53 % (11086)------------------------------
% 0.21/0.53 % (11086)------------------------------
% 0.21/0.53 % (11095)First to succeed.
% 0.21/0.53 % (11095)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (11095)------------------------------
% 0.21/0.53 % (11095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11095)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (11095)Memory used [KB]: 5500
% 0.21/0.53 % (11095)Time elapsed: 0.133 s
% 0.21/0.53 % (11095)Instructions burned: 4 (million)
% 0.21/0.53 % (11095)------------------------------
% 0.21/0.53 % (11095)------------------------------
% 0.21/0.53 % (11063)Success in time 0.172 s
%------------------------------------------------------------------------------