TSTP Solution File: DAT004_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT004_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 : 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 16:04:35 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 6 typ; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 18 ~; 14 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 167 ( 0 atm; 0 fun; 138 num; 29 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 5 usr; 10 con; 0-3 aty)
% Number of variables : 51 ( 39 !; 12 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_9,type,
sK0: array ).
tff(func_def_10,type,
sK1: array ).
tff(func_def_11,type,
sK2: $int ).
tff(f47,plain,
$false,
inference(trivial_inequality_removal,[],[f45]) ).
tff(f45,plain,
66 != 66,
inference(superposition,[],[f17,f38]) ).
tff(f38,plain,
66 = read(sK1,4),
inference(backward_demodulation,[],[f20,f36]) ).
tff(f36,plain,
4 = sK2,
inference(trivial_inequality_removal,[],[f35]) ).
tff(f35,plain,
( ( 44 != 44 )
| ( 4 = sK2 ) ),
inference(superposition,[],[f15,f33]) ).
tff(f33,plain,
( ( 44 = read(sK1,4) )
| ( 4 = sK2 ) ),
inference(evaluation,[],[f28]) ).
tff(f28,plain,
( ( 44 = read(sK1,4) )
| ( 4 = 5 )
| ( 4 = sK2 ) ),
inference(superposition,[],[f27,f19]) ).
tff(f19,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(rectify,[],[f5]) ).
tff(f5,plain,
! [X2: array,X1: $int,X0: $int] : ( read(write(X2,X1,X0),X1) = X0 ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X2: $int,X1: $int,X0: array] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f27,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(write(write(sK0,3,33),4,44),X0) )
| ( sK2 = X0 )
| ( 5 = X0 ) ),
inference(superposition,[],[f18,f21]) ).
tff(f21,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(write(write(write(sK0,3,33),4,44),5,55),X0) )
| ( sK2 = X0 ) ),
inference(superposition,[],[f18,f16]) ).
tff(f16,plain,
sK1 = write(write(write(write(sK0,3,33),4,44),5,55),sK2,66),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ( 66 != read(sK1,4) )
& ( sK1 = write(write(write(write(sK0,3,33),4,44),5,55),sK2,66) )
& ( 44 != read(sK1,4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10,f11]) ).
tff(f11,plain,
( ? [X0: array,X1: array,X2: $int] :
( ( 66 != read(X1,4) )
& ( write(write(write(write(X0,3,33),4,44),5,55),X2,66) = X1 )
& ( 44 != read(X1,4) ) )
=> ( ( 66 != read(sK1,4) )
& ( sK1 = write(write(write(write(sK0,3,33),4,44),5,55),sK2,66) )
& ( 44 != read(sK1,4) ) ) ),
introduced(choice_axiom,[]) ).
tff(f10,plain,
? [X0: array,X1: array,X2: $int] :
( ( 66 != read(X1,4) )
& ( write(write(write(write(X0,3,33),4,44),5,55),X2,66) = X1 )
& ( 44 != read(X1,4) ) ),
inference(rectify,[],[f9]) ).
tff(f9,plain,
? [X2: array,X1: array,X0: $int] :
( ( 66 != read(X1,4) )
& ( write(write(write(write(X2,3,33),4,44),5,55),X0,66) = X1 )
& ( 44 != read(X1,4) ) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
? [X1: array,X2: array,X0: $int] :
( ( 44 != read(X1,4) )
& ( 66 != read(X1,4) )
& ( write(write(write(write(X2,3,33),4,44),5,55),X0,66) = X1 ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,plain,
~ ! [X1: array,X2: array,X0: $int] :
( ( write(write(write(write(X2,3,33),4,44),5,55),X0,66) = X1 )
=> ( ( 44 = read(X1,4) )
| ( 66 = read(X1,4) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X2: $int,X0: array,X1: array] :
( ( write(write(write(write(X1,3,33),4,44),5,55),X2,66) = X0 )
=> ( ( 66 = read(X0,4) )
| ( 44 = read(X0,4) ) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X2: $int,X0: array,X1: array] :
( ( write(write(write(write(X1,3,33),4,44),5,55),X2,66) = X0 )
=> ( ( 66 = read(X0,4) )
| ( 44 = read(X0,4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f18,plain,
! [X2: array,X3: $int,X0: $int,X1: $int] :
( ( read(X2,X1) = read(write(X2,X3,X0),X1) )
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: $int,X1: $int,X2: array,X3: $int] :
( ( read(X2,X1) = read(write(X2,X3,X0),X1) )
| ( X1 = X3 ) ),
inference(rectify,[],[f7]) ).
tff(f7,plain,
! [X3: $int,X0: $int,X2: array,X1: $int] :
( ( read(X2,X0) = read(write(X2,X1,X3),X0) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X5: $int,X4: $int,X3: array,X6: $int] :
( ( X4 = X5 )
| ( read(write(X3,X4,X6),X5) = read(X3,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f15,plain,
44 != read(sK1,4),
inference(cnf_transformation,[],[f12]) ).
tff(f20,plain,
66 = read(sK1,sK2),
inference(superposition,[],[f19,f16]) ).
tff(f17,plain,
66 != read(sK1,4),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT004=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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 20:16:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (4876)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)
% 0.21/0.51 % (4884)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)
% 0.21/0.51 % (4884)First to succeed.
% 0.21/0.51 % (4898)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)
% 0.21/0.51 % (4885)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (4890)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)
% 0.21/0.51 % (4892)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.51 % (4898)Also succeeded, but the first one will report.
% 0.21/0.52 % (4884)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (4884)------------------------------
% 0.21/0.52 % (4884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (4884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (4884)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (4884)Memory used [KB]: 895
% 0.21/0.52 % (4884)Time elapsed: 0.102 s
% 0.21/0.52 % (4884)Instructions burned: 2 (million)
% 0.21/0.52 % (4884)------------------------------
% 0.21/0.52 % (4884)------------------------------
% 0.21/0.52 % (4874)Success in time 0.161 s
%------------------------------------------------------------------------------