TSTP Solution File: DAT033_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT033_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_sat --cores 0 -t %d %s
% Computer : n009.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 16:04:41 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 65 ( 3 unt; 7 typ; 0 def)
% Number of atoms : 130 ( 60 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 122 ( 50 ~; 49 |; 8 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 120 ( 0 atm; 27 fun; 73 num; 20 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 42 !; 2 ?; 44 :)
% 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_11,type,
sK0: collection ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f469,plain,
$false,
inference(avatar_sat_refutation,[],[f152,f280,f286,f392,f468]) ).
tff(f468,plain,
( spl1_3
| spl1_4
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f465,f267,f149,f145]) ).
tff(f145,plain,
( spl1_3
<=> ( count(add(5,sK0)) = count(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f149,plain,
( spl1_4
<=> in(3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f267,plain,
( spl1_5
<=> ( count(add(5,sK0)) = $sum(count(sK0),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f465,plain,
( ( count(add(5,sK0)) = count(sK0) )
| spl1_4
| ~ spl1_5 ),
inference(backward_demodulation,[],[f268,f460]) ).
tff(f460,plain,
( ( $sum(count(sK0),1) = count(sK0) )
| spl1_4
| ~ spl1_5 ),
inference(forward_demodulation,[],[f459,f268]) ).
tff(f459,plain,
( ( count(add(5,sK0)) = count(sK0) )
| spl1_4 ),
inference(trivial_inequality_removal,[],[f454]) ).
tff(f454,plain,
( ( count(sK0) != count(sK0) )
| ( count(add(5,sK0)) = count(sK0) )
| spl1_4 ),
inference(superposition,[],[f406,f190]) ).
tff(f190,plain,
! [X6: $int,X5: collection] :
( ( count(remove(X6,X5)) = count(X5) )
| ( count(X5) = count(add(X6,X5)) ) ),
inference(resolution,[],[f67,f64]) ).
tff(f64,plain,
! [X0: collection,X1: $int] :
( in(X1,X0)
| ( count(X0) = count(remove(X1,X0)) ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: collection,X1: $int] :
( ( ~ in(X1,X0)
| ( count(X0) != count(remove(X1,X0)) ) )
& ( ( count(X0) = count(remove(X1,X0)) )
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
<=> ( count(X0) = count(remove(X1,X0)) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X20: collection,X19: $int] :
( ~ in(X19,X20)
<=> ( count(remove(X19,X20)) = count(X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f67,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( count(X0) = count(add(X1,X0)) ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: collection,X1: $int] :
( ( ( count(X0) = count(add(X1,X0)) )
| ~ in(X1,X0) )
& ( in(X1,X0)
| ( count(X0) != count(add(X1,X0)) ) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: collection,X1: $int] :
( ( count(X0) = count(add(X1,X0)) )
<=> in(X1,X0) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X16: collection,X15: $int] :
( ( count(add(X15,X16)) = count(X16) )
<=> in(X15,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f406,plain,
( ( count(remove(5,sK0)) != count(sK0) )
| spl1_4 ),
inference(backward_demodulation,[],[f75,f405]) ).
tff(f405,plain,
( ( count(remove(3,sK0)) = count(sK0) )
| spl1_4 ),
inference(resolution,[],[f150,f64]) ).
tff(f150,plain,
( ~ in(3,sK0)
| spl1_4 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f75,plain,
count(remove(3,sK0)) != count(remove(5,sK0)),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
( ( count(add(5,sK0)) = count(add(3,sK0)) )
& ( count(remove(3,sK0)) != count(remove(5,sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f52]) ).
tff(f52,plain,
( ? [X0: collection] :
( ( count(add(5,X0)) = count(add(3,X0)) )
& ( count(remove(5,X0)) != count(remove(3,X0)) ) )
=> ( ( count(add(5,sK0)) = count(add(3,sK0)) )
& ( count(remove(3,sK0)) != count(remove(5,sK0)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f40,plain,
? [X0: collection] :
( ( count(add(5,X0)) = count(add(3,X0)) )
& ( count(remove(5,X0)) != count(remove(3,X0)) ) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X0: collection] :
( ( count(add(5,X0)) = count(add(3,X0)) )
=> ( count(remove(5,X0)) = count(remove(3,X0)) ) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X0: collection] :
( ( count(add(5,X0)) = count(add(3,X0)) )
=> ( count(remove(5,X0)) = count(remove(3,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f268,plain,
( ( count(add(5,sK0)) = $sum(count(sK0),1) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f392,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f391]) ).
tff(f391,plain,
( $false
| ~ spl1_3
| ~ spl1_4 ),
inference(trivial_inequality_removal,[],[f390]) ).
tff(f390,plain,
( ( $sum(count(sK0),-1) != $sum(count(sK0),-1) )
| ~ spl1_3
| ~ spl1_4 ),
inference(backward_demodulation,[],[f284,f387]) ).
tff(f387,plain,
( ( count(remove(5,sK0)) = $sum(count(sK0),-1) )
| ~ spl1_3 ),
inference(resolution,[],[f369,f84]) ).
tff(f84,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( $sum(count(X0),-1) = count(remove(X1,X0)) ) ),
inference(evaluation,[],[f58]) ).
tff(f58,plain,
! [X0: collection,X1: $int] :
( ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) )
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: collection,X1: $int] :
( ( in(X1,X0)
| ( $sum(count(X0),$uminus(1)) != count(remove(X1,X0)) ) )
& ( ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) )
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: collection,X1: $int] :
( in(X1,X0)
<=> ( $sum(count(X0),$uminus(1)) = count(remove(X1,X0)) ) ),
inference(rectify,[],[f15]) ).
tff(f15,plain,
! [X18: collection,X17: $int] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X18: collection,X17: $int] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f369,plain,
( in(5,sK0)
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f365]) ).
tff(f365,plain,
( ( count(sK0) != count(sK0) )
| in(5,sK0)
| ~ spl1_3 ),
inference(superposition,[],[f66,f146]) ).
tff(f146,plain,
( ( count(add(5,sK0)) = count(sK0) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f66,plain,
! [X0: collection,X1: $int] :
( ( count(X0) != count(add(X1,X0)) )
| in(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
tff(f284,plain,
( ( count(remove(5,sK0)) != $sum(count(sK0),-1) )
| ~ spl1_4 ),
inference(backward_demodulation,[],[f75,f281]) ).
tff(f281,plain,
( ( count(remove(3,sK0)) = $sum(count(sK0),-1) )
| ~ spl1_4 ),
inference(resolution,[],[f151,f84]) ).
tff(f151,plain,
( in(3,sK0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f286,plain,
( spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f285,f149,f145]) ).
tff(f285,plain,
( ( count(add(5,sK0)) = count(sK0) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f283,f76]) ).
tff(f76,plain,
count(add(5,sK0)) = count(add(3,sK0)),
inference(cnf_transformation,[],[f53]) ).
tff(f283,plain,
( ( count(add(3,sK0)) = count(sK0) )
| ~ spl1_4 ),
inference(resolution,[],[f151,f67]) ).
tff(f280,plain,
( spl1_5
| spl1_4 ),
inference(avatar_split_clause,[],[f279,f149,f267]) ).
tff(f279,plain,
( ( count(add(5,sK0)) = $sum(count(sK0),1) )
| spl1_4 ),
inference(forward_demodulation,[],[f276,f76]) ).
tff(f276,plain,
( ( count(add(3,sK0)) = $sum(count(sK0),1) )
| spl1_4 ),
inference(resolution,[],[f150,f61]) ).
tff(f61,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( $sum(count(X1),1) = count(add(X0,X1)) ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,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,[],[f33]) ).
tff(f33,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] :
( ( count(add(X13,X14)) = $sum(count(X14),1) )
<=> ~ in(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f152,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f143,f149,f145]) ).
tff(f143,plain,
( in(3,sK0)
| ( count(add(5,sK0)) != count(sK0) ) ),
inference(superposition,[],[f66,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT033=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:14:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (26350)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.47 % (26342)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (26342)Instruction limit reached!
% 0.19/0.48 % (26342)------------------------------
% 0.19/0.48 % (26342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (26342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (26342)Termination reason: Unknown
% 0.19/0.48 % (26342)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (26342)Memory used [KB]: 5500
% 0.19/0.48 % (26342)Time elapsed: 0.092 s
% 0.19/0.48 % (26342)Instructions burned: 7 (million)
% 0.19/0.48 % (26342)------------------------------
% 0.19/0.48 % (26342)------------------------------
% 0.19/0.48 % (26364)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.49 % (26336)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (26335)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50 % (26335)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (26335)Terminated due to inappropriate strategy.
% 0.19/0.50 % (26335)------------------------------
% 0.19/0.50 % (26335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (26335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (26335)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (26335)Memory used [KB]: 895
% 0.19/0.50 % (26335)Time elapsed: 0.002 s
% 0.19/0.50 % (26335)Instructions burned: 2 (million)
% 0.19/0.50 % (26335)------------------------------
% 0.19/0.50 % (26335)------------------------------
% 0.19/0.51 % (26348)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (26360)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (26352)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (26364)First to succeed.
% 0.19/0.52 % (26337)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (26357)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (26339)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (26352)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.52 % (26344)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (26352)Terminated due to inappropriate strategy.
% 0.19/0.52 % (26352)------------------------------
% 0.19/0.52 % (26352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26352)Termination reason: Inappropriate
% 0.19/0.52
% 0.19/0.52 % (26352)Memory used [KB]: 895
% 0.19/0.52 % (26352)Time elapsed: 0.004 s
% 0.19/0.52 % (26352)Instructions burned: 3 (million)
% 0.19/0.52 % (26352)------------------------------
% 0.19/0.52 % (26352)------------------------------
% 0.19/0.53 % (26340)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (26338)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (26351)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (26349)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (26364)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (26364)------------------------------
% 0.19/0.53 % (26364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26364)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (26364)Memory used [KB]: 5756
% 0.19/0.53 % (26364)Time elapsed: 0.124 s
% 0.19/0.53 % (26364)Instructions burned: 18 (million)
% 0.19/0.53 % (26364)------------------------------
% 0.19/0.53 % (26364)------------------------------
% 0.19/0.53 % (26334)Success in time 0.18 s
%------------------------------------------------------------------------------