TSTP Solution File: SWV412+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV412+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n024.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 18:56:45 EDT 2022
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 60 ( 19 ~; 9 |; 26 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 54 ( 38 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,plain,
$false,
inference(subsumption_resolution,[],[f106,f74]) ).
fof(f74,plain,
pair_in_list(sK1,sK0,sK3),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( pair_in_list(sK1,sK0,sK3)
& strictly_less_than(sK3,sK2)
& strictly_less_than(sK0,sK2)
& ~ pair_in_list(update_slb(sK1,sK2),sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f48,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2,X3] :
( pair_in_list(X1,X0,X3)
& strictly_less_than(X3,X2)
& strictly_less_than(X0,X2)
& ~ pair_in_list(update_slb(X1,X2),X0,X2) )
=> ( pair_in_list(sK1,sK0,sK3)
& strictly_less_than(sK3,sK2)
& strictly_less_than(sK0,sK2)
& ~ pair_in_list(update_slb(sK1,sK2),sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1,X2,X3] :
( pair_in_list(X1,X0,X3)
& strictly_less_than(X3,X2)
& strictly_less_than(X0,X2)
& ~ pair_in_list(update_slb(X1,X2),X0,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X1,X3,X2,X0] :
( pair_in_list(X3,X1,X0)
& strictly_less_than(X0,X2)
& strictly_less_than(X1,X2)
& ~ pair_in_list(update_slb(X3,X2),X1,X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X2,X3,X1,X0] :
( ~ pair_in_list(update_slb(X3,X2),X1,X2)
& strictly_less_than(X1,X2)
& pair_in_list(X3,X1,X0)
& strictly_less_than(X0,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X2,X3,X1,X0] :
( ( strictly_less_than(X1,X2)
& pair_in_list(X3,X1,X0)
& strictly_less_than(X0,X2) )
=> pair_in_list(update_slb(X3,X2),X1,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X2,X1,X3,X0] :
( ( 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,
! [X2,X1,X3,X0] :
( ( 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(f106,plain,
~ pair_in_list(sK1,sK0,sK3),
inference(resolution,[],[f104,f71]) ).
fof(f71,plain,
~ pair_in_list(update_slb(sK1,sK2),sK0,sK2),
inference(cnf_transformation,[],[f50]) ).
fof(f104,plain,
! [X2,X3] :
( pair_in_list(update_slb(X2,sK2),X3,sK2)
| ~ pair_in_list(X2,X3,sK3) ),
inference(resolution,[],[f85,f73]) ).
fof(f73,plain,
strictly_less_than(sK3,sK2),
inference(cnf_transformation,[],[f50]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ strictly_less_than(X0,X1)
| ~ pair_in_list(X3,X2,X0)
| pair_in_list(update_slb(X3,X1),X2,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( ~ pair_in_list(X3,X2,X0)
| ~ strictly_less_than(X0,X1)
| pair_in_list(update_slb(X3,X1),X2,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X3,X1] :
( ~ pair_in_list(X1,X3,X0)
| ~ strictly_less_than(X0,X2)
| pair_in_list(update_slb(X1,X2),X3,X2) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X3,X2,X0] :
( pair_in_list(update_slb(X1,X2),X3,X2)
| ~ strictly_less_than(X0,X2)
| ~ pair_in_list(X1,X3,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X3,X2,X0] :
( ( strictly_less_than(X0,X2)
& pair_in_list(X1,X3,X0) )
=> pair_in_list(update_slb(X1,X2),X3,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X2,X0,X3,X1] :
( ( 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
% 0.08/0.14 % Problem : SWV412+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n024.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 : Tue Aug 30 19:25:49 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.47 % (27736)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)
% 0.21/0.47 % (27736)First to succeed.
% 0.21/0.48 % (27736)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (27736)------------------------------
% 0.21/0.48 % (27736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (27736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (27736)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (27736)Memory used [KB]: 1023
% 0.21/0.48 % (27736)Time elapsed: 0.077 s
% 0.21/0.48 % (27736)Instructions burned: 3 (million)
% 0.21/0.48 % (27736)------------------------------
% 0.21/0.48 % (27736)------------------------------
% 0.21/0.48 % (27732)Success in time 0.113 s
%------------------------------------------------------------------------------