TSTP Solution File: DAT019_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT019_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 : n028.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 16:04:38 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 34 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 14 ~; 13 |; 6 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 31 ( 0 atm; 0 fun; 16 num; 15 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 23 :)
% 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(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f31,plain,
$false,
inference(unit_resulting_resolution,[],[f30,f23,f26]) ).
tff(f26,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,add(X2,X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X0,X1)
| ( X0 = X2 )
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ~ in(X0,X1)
& ( X0 != X2 ) ) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X0: $int,X2: collection,X1: $int] :
( ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) )
& ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: $int,X2: collection,X1: $int] :
( ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) )
& ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: $int,X2: collection,X1: $int] :
( ( in(X0,X2)
| ( X0 = X1 ) )
<=> in(X0,add(X1,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: $int,X7: $int,X6: collection] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f23,plain,
~ in(3,add(1,add(3,add(5,empty)))),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
~ in(3,add(1,add(3,add(5,empty)))),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ in(3,add(1,add(3,add(5,empty)))),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
in(3,add(1,add(3,add(5,empty)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f30,plain,
! [X2: $int,X1: collection] : in(X2,add(X2,X1)),
inference(equality_resolution,[],[f25]) ).
tff(f25,plain,
! [X2: $int,X0: $int,X1: collection] :
( in(X0,add(X2,X1))
| ( X0 != X2 ) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT019=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.34 % Computer : n028.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Aug 29 20:25:32 EDT 2022
% 0.15/0.34 % CPUTime :
% 0.21/0.49 % (24805)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)
% 0.21/0.50 % (24805)First to succeed.
% 0.21/0.50 % (24806)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)
% 0.21/0.50 % (24806)Also succeeded, but the first one will report.
% 0.21/0.50 % (24830)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.50 % (24804)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)
% 0.21/0.50 % (24804)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.50 % (24813)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)
% 0.21/0.50 % (24805)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (24805)------------------------------
% 0.21/0.50 % (24805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (24805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (24805)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (24805)Memory used [KB]: 5373
% 0.21/0.50 % (24805)Time elapsed: 0.093 s
% 0.21/0.50 % (24805)Instructions burned: 2 (million)
% 0.21/0.50 % (24805)------------------------------
% 0.21/0.50 % (24805)------------------------------
% 0.21/0.50 % (24801)Success in time 0.15 s
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