TSTP Solution File: DAT057_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT057_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 : Fri Sep 1 14:17:09 EDT 2023
% Result : Theorem 0.23s 0.43s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 27 ( 5 unt; 11 typ; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 6 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 18 ( 0 atm; 0 fun; 0 num; 18 var)
% Number of types : 3 ( 2 usr; 1 ari)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 36 (; 28 !; 8 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
data: $tType ).
tff(type_def_6,type,
array: $tType ).
tff(func_def_0,type,
mkarray: array ).
tff(func_def_1,type,
none: data ).
tff(func_def_2,type,
put: ( array * $int * data ) > array ).
tff(func_def_3,type,
get: ( array * $int ) > data ).
tff(func_def_4,type,
sK0: data ).
tff(func_def_5,type,
sK1: array ).
tff(func_def_6,type,
sK2: $int ).
tff(func_def_7,type,
sK3: $int ).
tff(func_def_8,type,
sK4: ( array * array ) > $int ).
tff(f41,plain,
$false,
inference(trivial_inequality_removal,[],[f40]) ).
tff(f40,plain,
sK3 != sK3,
inference(superposition,[],[f22,f37]) ).
tff(f37,plain,
sK2 = sK3,
inference(trivial_inequality_removal,[],[f35]) ).
tff(f35,plain,
( ( get(sK1,sK3) != get(sK1,sK3) )
| ( sK2 = sK3 ) ),
inference(superposition,[],[f21,f28]) ).
tff(f28,plain,
! [X2: array,X3: $int,X0: $int,X1: data] :
( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: $int,X1: data,X2: array,X3: $int] :
( ( get(put(X2,X0,X1),X3) = get(X2,X3) )
| ( X0 = X3 ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: $int,X1: data,X2: array,X3: $int] :
( ( X0 != X3 )
=> ( get(put(X2,X0,X1),X3) = get(X2,X3) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3: $int,X2: data,X1: array,X0: $int] :
( ( X0 != X3 )
=> ( get(put(X1,X3,X2),X0) = get(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.47ndZI1EVt/Vampire---4.8_1939',ax_19) ).
tff(f21,plain,
get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( sK2 != sK3 )
& ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f13,f15]) ).
tff(f15,plain,
( ? [X0: data,X1: array,X2: $int,X3: $int] :
( ( X2 != X3 )
& ( get(X1,X3) != get(put(X1,X2,X0),X3) ) )
=> ( ( sK2 != sK3 )
& ( get(sK1,sK3) != get(put(sK1,sK2,sK0),sK3) ) ) ),
introduced(choice_axiom,[]) ).
tff(f13,plain,
? [X0: data,X1: array,X2: $int,X3: $int] :
( ( X2 != X3 )
& ( get(X1,X3) != get(put(X1,X2,X0),X3) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ! [X0: data,X1: array,X2: $int,X3: $int] :
( ( X2 = X3 )
| ( get(X1,X3) = get(put(X1,X2,X0),X3) ) ),
inference(rectify,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X2: data,X1: array,X0: $int,X3: $int] :
( ( X0 = X3 )
| ( get(X1,X3) = get(put(X1,X0,X2),X3) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X2: data,X1: array,X0: $int,X3: $int] :
( ( X0 = X3 )
| ( get(X1,X3) = get(put(X1,X0,X2),X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.47ndZI1EVt/Vampire---4.8_1939',th_lem_1) ).
tff(f22,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : DAT057_1 : TPTP v8.1.2. Released v5.5.0.
% 0.04/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 14:27:29 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.42 % (2193)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (2194)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43 % (2195)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43 % (2197)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43 % (2196)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.43 % (2194)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.43 % (2198)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.23/0.43 % (2194)Terminated due to inappropriate strategy.
% 0.23/0.43 % (2194)------------------------------
% 0.23/0.43 % (2194)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (2194)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (2194)Termination reason: Inappropriate
% 0.23/0.43
% 0.23/0.43 % (2194)Memory used [KB]: 767
% 0.23/0.43 % (2194)Time elapsed: 0.002 s
% 0.23/0.43 % (2194)------------------------------
% 0.23/0.43 % (2194)------------------------------
% 0.23/0.43 % (2199)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.23/0.43 % (2195)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.43 % (2195)Terminated due to inappropriate strategy.
% 0.23/0.43 % (2195)------------------------------
% 0.23/0.43 % (2195)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (2195)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (2195)Termination reason: Inappropriate
% 0.23/0.43
% 0.23/0.43 % (2195)Memory used [KB]: 767
% 0.23/0.43 % (2195)Time elapsed: 0.002 s
% 0.23/0.43 % (2197)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.43 % (2195)------------------------------
% 0.23/0.43 % (2195)------------------------------
% 0.23/0.43 % (2197)Terminated due to inappropriate strategy.
% 0.23/0.43 % (2197)------------------------------
% 0.23/0.43 % (2197)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (2200)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.43 % (2197)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (2197)Termination reason: Inappropriate
% 0.23/0.43
% 0.23/0.43 % (2197)Memory used [KB]: 767
% 0.23/0.43 % (2197)Time elapsed: 0.002 s
% 0.23/0.43 % (2197)------------------------------
% 0.23/0.43 % (2197)------------------------------
% 0.23/0.43 % (2199)First to succeed.
% 0.23/0.43 % (2200)Also succeeded, but the first one will report.
% 0.23/0.43 % (2199)Refutation found. Thanks to Tanya!
% 0.23/0.43 % SZS status Theorem for Vampire---4
% 0.23/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.43 % (2199)------------------------------
% 0.23/0.43 % (2199)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43 % (2199)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43 % (2199)Termination reason: Refutation
% 0.23/0.43
% 0.23/0.43 % (2199)Memory used [KB]: 895
% 0.23/0.43 % (2199)Time elapsed: 0.004 s
% 0.23/0.43 % (2199)------------------------------
% 0.23/0.43 % (2199)------------------------------
% 0.23/0.43 % (2193)Success in time 0.061 s
% 0.23/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------