TSTP Solution File: SWV413+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV413+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 : 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 : Wed Aug 31 18:56:46 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 83 ( 30 ~; 18 |; 29 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 45 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f152,plain,
$false,
inference(subsumption_resolution,[],[f151,f81]) ).
fof(f81,plain,
less_than(sK1,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( less_than(sK1,sK2)
& ! [X4] :
( ~ less_than(sK1,X4)
| ~ pair_in_list(update_slb(sK3,sK1),sK0,X4) )
& pair_in_list(sK3,sK0,sK2)
& strictly_less_than(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f54,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2,X3] :
( less_than(X1,X2)
& ! [X4] :
( ~ less_than(X1,X4)
| ~ pair_in_list(update_slb(X3,X1),X0,X4) )
& pair_in_list(X3,X0,X2)
& strictly_less_than(X0,X1) )
=> ( less_than(sK1,sK2)
& ! [X4] :
( ~ less_than(sK1,X4)
| ~ pair_in_list(update_slb(sK3,sK1),sK0,X4) )
& pair_in_list(sK3,sK0,sK2)
& strictly_less_than(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2,X3] :
( less_than(X1,X2)
& ! [X4] :
( ~ less_than(X1,X4)
| ~ pair_in_list(update_slb(X3,X1),X0,X4) )
& pair_in_list(X3,X0,X2)
& strictly_less_than(X0,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X0,X2,X1,X3] :
( less_than(X2,X1)
& ! [X4] :
( ~ less_than(X2,X4)
| ~ pair_in_list(update_slb(X3,X2),X0,X4) )
& pair_in_list(X3,X0,X1)
& strictly_less_than(X0,X2) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X3,X2,X1,X0] :
( ! [X4] :
( ~ less_than(X2,X4)
| ~ pair_in_list(update_slb(X3,X2),X0,X4) )
& pair_in_list(X3,X0,X1)
& strictly_less_than(X0,X2)
& less_than(X2,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X3,X2,X1,X0] :
( ( pair_in_list(X3,X0,X1)
& strictly_less_than(X0,X2)
& less_than(X2,X1) )
=> ? [X4] :
( pair_in_list(update_slb(X3,X2),X0,X4)
& less_than(X2,X4) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X1,X2,X3,X0] :
( ( strictly_less_than(X1,X3)
& less_than(X3,X2)
& pair_in_list(X0,X1,X2) )
=> ? [X4] :
( pair_in_list(update_slb(X0,X3),X1,X4)
& less_than(X3,X4) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X1,X2,X3,X0] :
( ( strictly_less_than(X1,X3)
& less_than(X3,X2)
& pair_in_list(X0,X1,X2) )
=> ? [X4] :
( pair_in_list(update_slb(X0,X3),X1,X4)
& less_than(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l49_co) ).
fof(f151,plain,
~ less_than(sK1,sK2),
inference(resolution,[],[f135,f79]) ).
fof(f79,plain,
pair_in_list(sK3,sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f135,plain,
! [X0] :
( ~ pair_in_list(sK3,sK0,X0)
| ~ less_than(sK1,X0) ),
inference(duplicate_literal_removal,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ~ pair_in_list(sK3,sK0,X0)
| ~ less_than(sK1,X0)
| ~ less_than(sK1,X0) ),
inference(resolution,[],[f83,f80]) ).
fof(f80,plain,
! [X4] :
( ~ pair_in_list(update_slb(sK3,sK1),sK0,X4)
| ~ less_than(sK1,X4) ),
inference(cnf_transformation,[],[f56]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( pair_in_list(update_slb(X2,X0),X1,X3)
| ~ less_than(X0,X3)
| ~ pair_in_list(X2,X1,X3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( pair_in_list(update_slb(X2,X0),X1,X3)
| ~ pair_in_list(X2,X1,X3)
| ~ less_than(X0,X3) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X3,X2] :
( pair_in_list(update_slb(X3,X1),X0,X2)
| ~ pair_in_list(X3,X0,X2)
| ~ less_than(X1,X2) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X3,X2] :
( pair_in_list(update_slb(X3,X1),X0,X2)
| ~ pair_in_list(X3,X0,X2)
| ~ less_than(X1,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X3,X2] :
( ( pair_in_list(X3,X0,X2)
& less_than(X1,X2) )
=> pair_in_list(update_slb(X3,X1),X0,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X3,X2,X0] :
( ( pair_in_list(X0,X1,X2)
& less_than(X3,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l49_li3637) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV413+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:15:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.50 % (20817)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (20815)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.51 % (20813)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (20833)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)
% 0.18/0.52 % (20816)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (20832)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52 % (20826)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (20834)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (20817)Instruction limit reached!
% 0.18/0.52 % (20817)------------------------------
% 0.18/0.52 % (20817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (20818)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (20825)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)
% 0.18/0.52 % (20817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (20817)Termination reason: Unknown
% 0.18/0.52 % (20817)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (20817)Memory used [KB]: 5500
% 0.18/0.52 % (20817)Time elapsed: 0.113 s
% 0.18/0.52 % (20817)Instructions burned: 7 (million)
% 0.18/0.52 % (20817)------------------------------
% 0.18/0.52 % (20817)------------------------------
% 0.18/0.52 % (20824)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53 % (20833)First to succeed.
% 0.18/0.53 % (20814)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (20810)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)
% 0.18/0.53 % (20832)Also succeeded, but the first one will report.
% 0.18/0.54 % (20833)Refutation found. Thanks to Tanya!
% 0.18/0.54 % SZS status Theorem for theBenchmark
% 0.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54 % (20833)------------------------------
% 0.18/0.54 % (20833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (20833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (20833)Termination reason: Refutation
% 0.18/0.54
% 0.18/0.54 % (20833)Memory used [KB]: 5500
% 0.18/0.54 % (20833)Time elapsed: 0.124 s
% 0.18/0.54 % (20833)Instructions burned: 5 (million)
% 0.18/0.54 % (20833)------------------------------
% 0.18/0.54 % (20833)------------------------------
% 0.18/0.54 % (20809)Success in time 0.183 s
%------------------------------------------------------------------------------