TSTP Solution File: SET803+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n004.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 18:22:18 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 10 unt; 0 def)
% Number of atoms : 141 ( 25 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 148 ( 49 ~; 32 |; 46 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 100 ( 74 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(subsumption_resolution,[],[f77,f54]) ).
fof(f54,plain,
member(sK2,sK1),
inference(resolution,[],[f51,f41]) ).
fof(f41,plain,
max(sK2,sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( order(sK0,sK1)
& sK2 != sK3
& greatest(sK4,sK0,sK1)
& max(sK3,sK0,sK1)
& max(sK2,sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f29,f36,f35,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( order(X0,X1)
& ? [X2,X3] :
( X2 != X3
& ? [X4] : greatest(X4,X0,X1)
& max(X3,X0,X1)
& max(X2,X0,X1) ) )
=> ( order(sK0,sK1)
& ? [X3,X2] :
( X2 != X3
& ? [X4] : greatest(X4,sK0,sK1)
& max(X3,sK0,sK1)
& max(X2,sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X3,X2] :
( X2 != X3
& ? [X4] : greatest(X4,sK0,sK1)
& max(X3,sK0,sK1)
& max(X2,sK0,sK1) )
=> ( sK2 != sK3
& ? [X4] : greatest(X4,sK0,sK1)
& max(sK3,sK0,sK1)
& max(sK2,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ? [X4] : greatest(X4,sK0,sK1)
=> greatest(sK4,sK0,sK1) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1] :
( order(X0,X1)
& ? [X2,X3] :
( X2 != X3
& ? [X4] : greatest(X4,X0,X1)
& max(X3,X0,X1)
& max(X2,X0,X1) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X0,X1] :
( ? [X2,X3] :
( ? [X4] : greatest(X4,X0,X1)
& max(X2,X0,X1)
& X2 != X3
& max(X3,X0,X1) )
& order(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( order(X0,X1)
=> ! [X2,X3] :
( ( max(X2,X0,X1)
& X2 != X3
& max(X3,X0,X1) )
=> ~ ? [X4] : greatest(X4,X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( order(X0,X1)
=> ! [X7,X8] :
( ( max(X7,X0,X1)
& X7 != X8
& max(X8,X0,X1) )
=> ~ ? [X5] : greatest(X5,X0,X1) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1] :
( order(X0,X1)
=> ! [X7,X8] :
( ( max(X7,X0,X1)
& X7 != X8
& max(X8,X0,X1) )
=> ~ ? [X5] : greatest(X5,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV15) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ max(X0,X2,X1)
| member(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( X0 = X3
| ~ apply(X2,X0,X3)
| ~ member(X3,X1) )
& member(X0,X1) )
| ~ max(X0,X2,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( X0 = X3
| ~ apply(X1,X0,X3)
| ~ member(X3,X2) )
& member(X0,X2) )
| ~ max(X0,X1,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( ( member(X0,X2)
& ! [X3] :
( X0 = X3
| ~ apply(X1,X0,X3)
| ~ member(X3,X2) ) )
| ~ max(X0,X1,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0,X2] :
( max(X0,X1,X2)
=> ( member(X0,X2)
& ! [X3] :
( ( apply(X1,X0,X3)
& member(X3,X2) )
=> X0 = X3 ) ) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( ( member(X0,X2)
& ! [X3] :
( ( apply(X1,X0,X3)
& member(X3,X2) )
=> X0 = X3 ) )
<=> max(X0,X1,X2) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X5,X0,X1] :
( ( ! [X2] :
( ( apply(X0,X5,X2)
& member(X2,X1) )
=> X2 = X5 )
& member(X5,X1) )
<=> max(X5,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max) ).
fof(f77,plain,
~ member(sK2,sK1),
inference(subsumption_resolution,[],[f76,f44]) ).
fof(f44,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f37]) ).
fof(f76,plain,
( sK2 = sK3
| ~ member(sK2,sK1) ),
inference(subsumption_resolution,[],[f74,f55]) ).
fof(f55,plain,
member(sK3,sK1),
inference(resolution,[],[f51,f42]) ).
fof(f42,plain,
max(sK3,sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f74,plain,
( ~ member(sK3,sK1)
| ~ member(sK2,sK1)
| sK2 = sK3 ),
inference(resolution,[],[f58,f66]) ).
fof(f66,plain,
! [X0] :
( apply(sK0,X0,sK2)
| ~ member(X0,sK1) ),
inference(backward_demodulation,[],[f56,f65]) ).
fof(f65,plain,
sK2 = sK4,
inference(subsumption_resolution,[],[f64,f53]) ).
fof(f53,plain,
member(sK4,sK1),
inference(resolution,[],[f49,f43]) ).
fof(f43,plain,
greatest(sK4,sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ greatest(X2,X1,X0)
| member(X2,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ greatest(X2,X1,X0)
| ( ! [X3] :
( apply(X1,X3,X2)
| ~ member(X3,X0) )
& member(X2,X0) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0] :
( ~ greatest(X0,X2,X1)
| ( ! [X3] :
( apply(X2,X3,X0)
| ~ member(X3,X1) )
& member(X0,X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( greatest(X0,X2,X1)
=> ( ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X0) )
& member(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f19,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( member(X3,X1)
=> apply(X2,X3,X0) )
& member(X0,X1) )
<=> greatest(X0,X2,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X1,X0] :
( greatest(X5,X0,X1)
<=> ( member(X5,X1)
& ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greatest) ).
fof(f64,plain,
( sK2 = sK4
| ~ member(sK4,sK1) ),
inference(subsumption_resolution,[],[f62,f54]) ).
fof(f62,plain,
( ~ member(sK2,sK1)
| ~ member(sK4,sK1)
| sK2 = sK4 ),
inference(resolution,[],[f57,f56]) ).
fof(f57,plain,
! [X0] :
( ~ apply(sK0,sK2,X0)
| ~ member(X0,sK1)
| sK2 = X0 ),
inference(resolution,[],[f52,f41]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ max(X0,X2,X1)
| X0 = X3
| ~ apply(X2,X0,X3)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f56,plain,
! [X0] :
( apply(sK0,X0,sK4)
| ~ member(X0,sK1) ),
inference(resolution,[],[f50,f43]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ greatest(X2,X1,X0)
| apply(X1,X3,X2)
| ~ member(X3,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
! [X1] :
( ~ apply(sK0,sK3,X1)
| sK3 = X1
| ~ member(X1,sK1) ),
inference(resolution,[],[f52,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:17:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (17049)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52 % (17041)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (17047)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (17050)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (17040)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (17060)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (17054)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (17039)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (17046)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (17039)First to succeed.
% 0.20/0.53 % (17066)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (17046)Also succeeded, but the first one will report.
% 0.20/0.54 % (17052)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (17049)Refutation not found, incomplete strategy% (17049)------------------------------
% 0.20/0.54 % (17049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17049)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (17049)Memory used [KB]: 5884
% 0.20/0.54 % (17049)Time elapsed: 0.122 s
% 0.20/0.54 % (17049)Instructions burned: 2 (million)
% 0.20/0.54 % (17049)------------------------------
% 0.20/0.54 % (17049)------------------------------
% 0.20/0.54 % (17039)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (17039)------------------------------
% 0.20/0.54 % (17039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17039)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (17039)Memory used [KB]: 6012
% 0.20/0.54 % (17039)Time elapsed: 0.125 s
% 0.20/0.54 % (17039)Instructions burned: 2 (million)
% 0.20/0.54 % (17039)------------------------------
% 0.20/0.54 % (17039)------------------------------
% 0.20/0.54 % (17038)Success in time 0.177 s
%------------------------------------------------------------------------------