TSTP Solution File: DAT046_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT046_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 : n004.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 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 48 ( 15 unt; 6 typ; 0 def)
% Number of atoms : 92 ( 53 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 32 ~; 32 |; 10 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 105 ( 0 atm; 14 fun; 60 num; 31 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 : 9 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?; 53 :)
% 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(f151,plain,
$false,
inference(subsumption_resolution,[],[f149,f57]) ).
tff(f57,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f149,plain,
in(1,empty),
inference(evaluation,[],[f146]) ).
tff(f146,plain,
( ( 1 = 3 )
| in(1,empty) ),
inference(resolution,[],[f142,f63]) ).
tff(f63,plain,
! [X2: collection,X0: $int,X1: $int] :
( ~ in(X0,add(X1,X2))
| in(X0,X2)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: $int,X1: $int,X2: collection] :
( ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) )
& ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) ) ),
inference(rectify,[],[f44]) ).
tff(f44,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,add(X0,X1)) )
& ( in(X2,add(X0,X1))
| ( ~ in(X2,X1)
& ( X0 != X2 ) ) ) ),
inference(flattening,[],[f43]) ).
tff(f43,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,add(X0,X1)) )
& ( in(X2,add(X0,X1))
| ( ~ in(X2,X1)
& ( X0 != X2 ) ) ) ),
inference(nnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( in(X2,X1)
| ( X0 = X2 ) )
<=> in(X2,add(X0,X1)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X7: $int,X6: collection,X5: $int] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f142,plain,
in(1,add(3,empty)),
inference(subsumption_resolution,[],[f139,f99]) ).
tff(f99,plain,
! [X0: $int] : ( 1 = count(add(X0,empty)) ),
inference(evaluation,[],[f98]) ).
tff(f98,plain,
! [X0: $int] : ( count(add(X0,empty)) = $sum(1,0) ),
inference(forward_demodulation,[],[f95,f80]) ).
tff(f80,plain,
0 = count(empty),
inference(equality_resolution,[],[f66]) ).
tff(f66,plain,
! [X0: collection] :
( ( 0 = count(X0) )
| ( empty != X0 ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: collection] :
( ( ( empty = X0 )
| ( 0 != count(X0) ) )
& ( ( 0 = count(X0) )
| ( empty != X0 ) ) ),
inference(nnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: collection] :
( ( empty = X0 )
<=> ( 0 = count(X0) ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X12: collection] :
( ( 0 = count(X12) )
<=> ( empty = X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f95,plain,
! [X0: $int] : ( count(add(X0,empty)) = $sum(1,count(empty)) ),
inference(resolution,[],[f87,f57]) ).
tff(f87,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(add(X0,X1)) = $sum(1,count(X1)) ) ),
inference(forward_demodulation,[],[f78,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f78,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: $int,X1: collection] :
( ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) )
& ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) = $sum(count(X1),1) )
<=> ~ in(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/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f139,plain,
( in(1,add(3,empty))
| ( 1 != count(add(3,empty)) ) ),
inference(superposition,[],[f69,f125]) ).
tff(f125,plain,
1 = count(add(1,add(3,empty))),
inference(evaluation,[],[f124]) ).
tff(f124,plain,
( ( 2 != $sum(1,1) )
| ( 1 = count(add(1,add(3,empty))) ) ),
inference(forward_demodulation,[],[f123,f99]) ).
tff(f123,plain,
( ( 1 = count(add(1,add(3,empty))) )
| ( 2 != $sum(1,count(add(3,empty))) ) ),
inference(forward_demodulation,[],[f115,f99]) ).
tff(f115,plain,
( ( count(add(1,add(3,empty))) = count(add(3,empty)) )
| ( 2 != $sum(1,count(add(3,empty))) ) ),
inference(superposition,[],[f65,f96]) ).
tff(f96,plain,
! [X2: collection,X1: $int] :
( ( $sum(1,count(X2)) = count(add(X1,X2)) )
| ( count(X2) = count(add(X1,X2)) ) ),
inference(resolution,[],[f87,f68]) ).
tff(f68,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( count(X0) = count(add(X1,X0)) ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: collection,X1: $int] :
( ( in(X1,X0)
| ( count(X0) != count(add(X1,X0)) ) )
& ( ( count(X0) = count(add(X1,X0)) )
| ~ in(X1,X0) ) ),
inference(rectify,[],[f48]) ).
tff(f48,plain,
! [X1: collection,X0: $int] :
( ( in(X0,X1)
| ( count(add(X0,X1)) != count(X1) ) )
& ( ( count(add(X0,X1)) = count(X1) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X1: collection,X0: $int] :
( in(X0,X1)
<=> ( count(add(X0,X1)) = count(X1) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X15: $int,X16: collection] :
( ( count(add(X15,X16)) = count(X16) )
<=> in(X15,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f65,plain,
count(add(1,add(3,empty))) != 2,
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
count(add(1,add(3,empty))) != 2,
inference(flattening,[],[f14]) ).
tff(f14,negated_conjecture,
( ( ~ count(add(1,add(3,empty))) )
= 2 ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
count(add(1,add(3,empty))) = 2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f69,plain,
! [X0: collection,X1: $int] :
( ( count(X0) != count(add(X1,X0)) )
| in(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT046=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_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.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 20:14:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 % (13771)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 (3000ds/75Mi)
% 0.20/0.47 % (13779)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 (3000ds/467Mi)
% 0.20/0.49 % (13779)First to succeed.
% 0.20/0.49 % (13779)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (13779)------------------------------
% 0.20/0.49 % (13779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (13779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (13779)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (13779)Memory used [KB]: 5500
% 0.20/0.49 % (13779)Time elapsed: 0.072 s
% 0.20/0.49 % (13779)Instructions burned: 7 (million)
% 0.20/0.49 % (13779)------------------------------
% 0.20/0.49 % (13779)------------------------------
% 0.20/0.49 % (13753)Success in time 0.137 s
%------------------------------------------------------------------------------