TSTP Solution File: SWV412+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV412+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Tue May 21 06:18:32 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 47 ( 16 ~; 7 |; 20 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 25 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,plain,
$false,
inference(resolution,[],[f203,f42]) ).
fof(f42,plain,
pair_in_list(sK0,sK1,sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3)
& strictly_less_than(sK2,sK3)
& strictly_less_than(sK1,sK3)
& pair_in_list(sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f23,f34]) ).
fof(f34,plain,
( ? [X0,X1,X2,X3] :
( ~ pair_in_list(update_slb(X0,X3),X1,X3)
& strictly_less_than(X2,X3)
& strictly_less_than(X1,X3)
& pair_in_list(X0,X1,X2) )
=> ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3)
& strictly_less_than(sK2,sK3)
& strictly_less_than(sK1,sK3)
& pair_in_list(sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2,X3] :
( ~ pair_in_list(update_slb(X0,X3),X1,X3)
& strictly_less_than(X2,X3)
& strictly_less_than(X1,X3)
& pair_in_list(X0,X1,X2) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0,X1,X2,X3] :
( ~ pair_in_list(update_slb(X0,X3),X1,X3)
& strictly_less_than(X2,X3)
& strictly_less_than(X1,X3)
& pair_in_list(X0,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( strictly_less_than(X2,X3)
& strictly_less_than(X1,X3)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X3) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X2,X3)
& strictly_less_than(X1,X3)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_co) ).
fof(f203,plain,
~ pair_in_list(sK0,sK1,sK2),
inference(resolution,[],[f200,f44]) ).
fof(f44,plain,
strictly_less_than(sK2,sK3),
inference(cnf_transformation,[],[f35]) ).
fof(f200,plain,
! [X0] :
( ~ strictly_less_than(X0,sK3)
| ~ pair_in_list(sK0,sK1,X0) ),
inference(resolution,[],[f46,f45]) ).
fof(f45,plain,
~ pair_in_list(update_slb(sK0,sK3),sK1,sK3),
inference(cnf_transformation,[],[f35]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( pair_in_list(update_slb(X0,X3),X1,X3)
| ~ strictly_less_than(X2,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( pair_in_list(update_slb(X0,X3),X1,X3)
| ~ strictly_less_than(X2,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( pair_in_list(update_slb(X0,X3),X1,X3)
| ~ strictly_less_than(X2,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X2,X3)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l48_li3839) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV412+1 : TPTP v8.2.0. Released v3.3.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 08:43:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (15002)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (15005)WARNING: value z3 for option sas not known
% 0.11/0.34 % (15006)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (15004)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (15007)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 theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (15005)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 theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (15003)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (15008)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 theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (15009)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 theBenchmark for (497ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (15008)First to succeed.
% 0.11/0.34 % (15007)Also succeeded, but the first one will report.
% 0.11/0.34 % (15008)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15002"
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 % (15008)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (15008)------------------------------
% 0.11/0.34 % (15008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (15008)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (15008)Memory used [KB]: 871
% 0.11/0.34 % (15008)Time elapsed: 0.008 s
% 0.11/0.34 % (15008)Instructions burned: 8 (million)
% 0.11/0.34 % (15002)Success in time 0.021 s
%------------------------------------------------------------------------------