TSTP Solution File: DAT044_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT044_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 : n022.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 16:04:44 EDT 2022
% Result : Theorem 0.13s 0.51s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 50 ( 12 unt; 11 typ; 0 def)
% Number of atoms : 77 ( 16 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 65 ( 27 ~; 22 |; 5 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 81 ( 24 atm; 17 fun; 15 num; 25 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 35 ( 31 !; 4 ?; 35 :)
% 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(func_def_11,type,
sF2: $int ).
tff(func_def_12,type,
sF3: collection ).
tff(func_def_13,type,
sF4: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f555,plain,
$false,
inference(avatar_sat_refutation,[],[f458,f469,f554]) ).
tff(f554,plain,
~ spl5_13,
inference(avatar_contradiction_clause,[],[f553]) ).
tff(f553,plain,
( $false
| ~ spl5_13 ),
inference(subsumption_resolution,[],[f549,f90]) ).
tff(f90,plain,
~ $less(sF2,sF4),
inference(definition_folding,[],[f74,f89,f88,f87]) ).
tff(f87,plain,
sF2 = count(sK0),
introduced(function_definition,[]) ).
tff(f88,plain,
add(sK1,sK0) = sF3,
introduced(function_definition,[]) ).
tff(f89,plain,
sF4 = count(sF3),
introduced(function_definition,[]) ).
tff(f74,plain,
~ $less(count(sK0),count(add(sK1,sK0))),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
( ! [X2: $int] :
( $less(X2,sK1)
| ~ in(X2,sK0) )
& ~ $less(count(sK0),count(add(sK1,sK0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f41,f53]) ).
tff(f53,plain,
( ? [X0: collection,X1: $int] :
( ! [X2: $int] :
( $less(X2,X1)
| ~ in(X2,X0) )
& ~ $less(count(X0),count(add(X1,X0))) )
=> ( ! [X2: $int] :
( $less(X2,sK1)
| ~ in(X2,sK0) )
& ~ $less(count(sK0),count(add(sK1,sK0))) ) ),
introduced(choice_axiom,[]) ).
tff(f41,plain,
? [X0: collection,X1: $int] :
( ! [X2: $int] :
( $less(X2,X1)
| ~ in(X2,X0) )
& ~ $less(count(X0),count(add(X1,X0))) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X1: $int,X0: collection] :
( ! [X2: $int] :
( in(X2,X0)
=> $less(X2,X1) )
=> $less(count(X0),count(add(X1,X0))) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X0: collection,X1: $int] :
( ! [X2: $int] :
( in(X2,X0)
=> $greater(X1,X2) )
=> $greater(count(add(X1,X0)),count(X0)) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X0: collection,X1: $int] :
( ! [X2: $int] :
( in(X2,X0)
=> $greater(X1,X2) )
=> $greater(count(add(X1,X0)),count(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f549,plain,
( $less(sF2,sF4)
| ~ spl5_13 ),
inference(superposition,[],[f147,f426]) ).
tff(f426,plain,
( ( $sum(1,sF2) = sF4 )
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f425]) ).
tff(f425,plain,
( spl5_13
<=> ( $sum(1,sF2) = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
tff(f147,plain,
! [X1: $int] : $less(X1,$sum(1,X1)),
inference(superposition,[],[f134,f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f134,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f27,f23]) ).
tff(f23,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f469,plain,
~ spl5_11,
inference(avatar_contradiction_clause,[],[f468]) ).
tff(f468,plain,
( $false
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f459,f23]) ).
tff(f459,plain,
( $less(sK1,sK1)
| ~ spl5_11 ),
inference(resolution,[],[f361,f75]) ).
tff(f75,plain,
! [X2: $int] :
( ~ in(X2,sK0)
| $less(X2,sK1) ),
inference(cnf_transformation,[],[f54]) ).
tff(f361,plain,
( in(sK1,sK0)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f359]) ).
tff(f359,plain,
( spl5_11
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
tff(f458,plain,
( spl5_13
| spl5_11 ),
inference(avatar_split_clause,[],[f457,f359,f425]) ).
tff(f457,plain,
( ( $sum(1,sF2) = sF4 )
| spl5_11 ),
inference(forward_demodulation,[],[f456,f87]) ).
tff(f456,plain,
( ( $sum(1,count(sK0)) = sF4 )
| spl5_11 ),
inference(forward_demodulation,[],[f455,f89]) ).
tff(f455,plain,
( ( $sum(1,count(sK0)) = count(sF3) )
| spl5_11 ),
inference(forward_demodulation,[],[f452,f88]) ).
tff(f452,plain,
( ( $sum(1,count(sK0)) = count(add(sK1,sK0)) )
| spl5_11 ),
inference(resolution,[],[f360,f96]) ).
tff(f96,plain,
! [X0: collection,X1: $int] :
( in(X1,X0)
| ( count(add(X1,X0)) = $sum(1,count(X0)) ) ),
inference(forward_demodulation,[],[f83,f18]) ).
tff(f83,plain,
! [X0: collection,X1: $int] :
( ( count(add(X1,X0)) = $sum(count(X0),1) )
| in(X1,X0) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: collection,X1: $int] :
( ( ( count(add(X1,X0)) = $sum(count(X0),1) )
| in(X1,X0) )
& ( ~ in(X1,X0)
| ( count(add(X1,X0)) != $sum(count(X0),1) ) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: collection,X1: $int] :
( ( count(add(X1,X0)) = $sum(count(X0),1) )
<=> ~ in(X1,X0) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X14: collection,X13: $int] :
( ( count(add(X13,X14)) = $sum(count(X14),1) )
<=> ~ in(X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f360,plain,
( ~ in(sK1,sK0)
| spl5_11 ),
inference(avatar_component_clause,[],[f359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : DAT044=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Aug 29 20:19:11 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.13/0.44 % (27842)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.44 % (27857)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)
% 0.13/0.45 % (27840)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.45 % (27858)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.13/0.45 % (27859)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.13/0.45 % (27850)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)
% 0.13/0.45 % (27851)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)
% 0.13/0.45 % (27840)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.45 % (27840)Terminated due to inappropriate strategy.
% 0.13/0.45 % (27840)------------------------------
% 0.13/0.45 % (27840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.45 % (27840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.45 % (27840)Termination reason: Inappropriate
% 0.13/0.45
% 0.13/0.45 % (27840)Memory used [KB]: 895
% 0.13/0.45 % (27840)Time elapsed: 0.003 s
% 0.13/0.45 % (27840)Instructions burned: 2 (million)
% 0.13/0.45 % (27840)------------------------------
% 0.13/0.45 % (27840)------------------------------
% 0.13/0.46 % (27841)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.46 % (27842)Instruction limit reached!
% 0.13/0.46 % (27842)------------------------------
% 0.13/0.46 % (27842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.46 % (27842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.46 % (27842)Termination reason: Unknown
% 0.13/0.46 % (27842)Termination phase: Saturation
% 0.13/0.46
% 0.13/0.46 % (27842)Memory used [KB]: 895
% 0.13/0.46 % (27842)Time elapsed: 0.005 s
% 0.13/0.46 % (27842)Instructions burned: 3 (million)
% 0.13/0.46 % (27842)------------------------------
% 0.13/0.46 % (27842)------------------------------
% 0.13/0.46 % (27848)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)
% 0.13/0.46 % (27841)Instruction limit reached!
% 0.13/0.46 % (27841)------------------------------
% 0.13/0.46 % (27841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.47 % (27841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.47 % (27841)Termination reason: Unknown
% 0.13/0.47 % (27841)Termination phase: Saturation
% 0.13/0.47
% 0.13/0.47 % (27841)Memory used [KB]: 5500
% 0.13/0.47 % (27841)Time elapsed: 0.117 s
% 0.13/0.47 % (27841)Instructions burned: 8 (million)
% 0.13/0.47 % (27841)------------------------------
% 0.13/0.47 % (27841)------------------------------
% 0.13/0.49 % (27859)First to succeed.
% 0.13/0.50 % (27839)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)
% 0.13/0.50 % (27845)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.13/0.50 % (27844)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.13/0.50 % (27846)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.13/0.50 % (27838)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.50 % (27837)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)
% 0.13/0.50 % (27836)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)
% 0.13/0.50 % (27856)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.13/0.50 % (27850)Also succeeded, but the first one will report.
% 0.13/0.51 % (27859)Refutation found. Thanks to Tanya!
% 0.13/0.51 % SZS status Theorem for theBenchmark
% 0.13/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.51 % (27859)------------------------------
% 0.13/0.51 % (27859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.51 % (27859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.51 % (27859)Termination reason: Refutation
% 0.13/0.51
% 0.13/0.51 % (27859)Memory used [KB]: 5756
% 0.13/0.51 % (27859)Time elapsed: 0.153 s
% 0.13/0.51 % (27859)Instructions burned: 22 (million)
% 0.13/0.51 % (27859)------------------------------
% 0.13/0.51 % (27859)------------------------------
% 0.13/0.51 % (27833)Success in time 0.207 s
%------------------------------------------------------------------------------