TSTP Solution File: GEO083+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 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 : Wed Aug 31 16:08:04 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 176 ( 13 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 206 ( 71 ~; 67 |; 53 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 107 ( 88 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(subsumption_resolution,[],[f153,f155]) ).
fof(f155,plain,
incident_c(sK0(sum(sK2,sK3),sum(sK2,sK4)),sK3),
inference(subsumption_resolution,[],[f154,f152]) ).
fof(f152,plain,
~ incident_c(sK0(sum(sK2,sK3),sum(sK2,sK4)),sK2),
inference(resolution,[],[f122,f110]) ).
fof(f110,plain,
! [X2,X0,X4] :
( incident_c(X4,sum(X2,X0))
| ~ incident_c(X4,X2) ),
inference(equality_resolution,[],[f91]) ).
fof(f91,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X1)
| ~ incident_c(X4,X2)
| sum(X2,X0) != X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sum(X2,X0) = X1
| ( ( ~ incident_c(sK8(X0,X1,X2),X1)
| ( ~ incident_c(sK8(X0,X1,X2),X0)
& ~ incident_c(sK8(X0,X1,X2),X2) ) )
& ( incident_c(sK8(X0,X1,X2),X1)
| incident_c(sK8(X0,X1,X2),X0)
| incident_c(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X0)
| incident_c(X4,X2)
| ~ incident_c(X4,X1) )
& ( incident_c(X4,X1)
| ( ~ incident_c(X4,X0)
& ~ incident_c(X4,X2) ) ) )
| sum(X2,X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ incident_c(X3,X1)
| ( ~ incident_c(X3,X0)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X1)
| incident_c(X3,X0)
| incident_c(X3,X2) ) )
=> ( ( ~ incident_c(sK8(X0,X1,X2),X1)
| ( ~ incident_c(sK8(X0,X1,X2),X0)
& ~ incident_c(sK8(X0,X1,X2),X2) ) )
& ( incident_c(sK8(X0,X1,X2),X1)
| incident_c(sK8(X0,X1,X2),X0)
| incident_c(sK8(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( sum(X2,X0) = X1
| ? [X3] :
( ( ~ incident_c(X3,X1)
| ( ~ incident_c(X3,X0)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X1)
| incident_c(X3,X0)
| incident_c(X3,X2) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X0)
| incident_c(X4,X2)
| ~ incident_c(X4,X1) )
& ( incident_c(X4,X1)
| ( ~ incident_c(X4,X0)
& ~ incident_c(X4,X2) ) ) )
| sum(X2,X0) != X1 ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0,X2] :
( ( sum(X2,X1) = X0
| ? [X3] :
( ( ~ incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ) ) )
& ( ! [X3] :
( ( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) ) )
| sum(X2,X1) != X0 ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0,X2] :
( ( sum(X2,X1) = X0
| ? [X3] :
( ( ~ incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X0)
| incident_c(X3,X1)
| incident_c(X3,X2) ) ) )
& ( ! [X3] :
( ( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) ) )
| sum(X2,X1) != X0 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( sum(X2,X1) = X0
<=> ! [X3] :
( ( incident_c(X3,X1)
| incident_c(X3,X2) )
<=> incident_c(X3,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X3,X1] :
( sum(X1,X3) = X0
<=> ! [X4] :
( ( incident_c(X4,X1)
| incident_c(X4,X3) )
<=> incident_c(X4,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn) ).
fof(f122,plain,
~ incident_c(sK0(sum(sK2,sK3),sum(sK2,sK4)),sum(sK2,sK4)),
inference(resolution,[],[f78,f73]) ).
fof(f73,plain,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ( incident_c(sK0(X0,X1),X0)
& ~ incident_c(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f43,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X3] :
( incident_c(X3,X0)
& ~ incident_c(X3,X1) )
=> ( incident_c(sK0(X0,X1),X0)
& ~ incident_c(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ? [X3] :
( incident_c(X3,X0)
& ~ incident_c(X3,X1) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ? [X2] :
( incident_c(X2,X0)
& ~ incident_c(X2,X1) ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
<=> part_of(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( part_of(X0,X1)
<=> ! [X2] :
( incident_c(X2,X0)
=> incident_c(X2,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) )
<=> part_of(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f78,plain,
~ part_of(sum(sK2,sK3),sum(sK2,sK4)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( meet(sK5,sK2,sK4)
& part_of(sK3,sK4)
& meet(sK5,sK2,sK3)
& ~ part_of(sum(sK2,sK3),sum(sK2,sK4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f36,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2,X3] :
( meet(X3,X0,X2)
& part_of(X1,X2)
& meet(X3,X0,X1)
& ~ part_of(sum(X0,X1),sum(X0,X2)) )
=> ( meet(sK5,sK2,sK4)
& part_of(sK3,sK4)
& meet(sK5,sK2,sK3)
& ~ part_of(sum(sK2,sK3),sum(sK2,sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( meet(X3,X0,X2)
& part_of(X1,X2)
& meet(X3,X0,X1)
& ~ part_of(sum(X0,X1),sum(X0,X2)) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X3,X1,X0,X2] :
( ~ part_of(sum(X0,X1),sum(X0,X2))
& part_of(X1,X2)
& meet(X3,X0,X2)
& meet(X3,X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X3,X1,X0,X2] :
( ( part_of(X1,X2)
& meet(X3,X0,X2)
& meet(X3,X0,X1) )
=> part_of(sum(X0,X1),sum(X0,X2)) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X1,X3,X5,X2] :
( ( part_of(X3,X5)
& meet(X2,X1,X3)
& meet(X2,X1,X5) )
=> part_of(sum(X1,X3),sum(X1,X5)) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X1,X3,X5,X2] :
( ( part_of(X3,X5)
& meet(X2,X1,X3)
& meet(X2,X1,X5) )
=> part_of(sum(X1,X3),sum(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1) ).
fof(f154,plain,
( incident_c(sK0(sum(sK2,sK3),sum(sK2,sK4)),sK2)
| incident_c(sK0(sum(sK2,sK3),sum(sK2,sK4)),sK3) ),
inference(resolution,[],[f123,f108]) ).
fof(f108,plain,
! [X2,X0,X4] :
( ~ incident_c(X4,sum(X2,X0))
| incident_c(X4,X0)
| incident_c(X4,X2) ),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X0)
| incident_c(X4,X2)
| ~ incident_c(X4,X1)
| sum(X2,X0) != X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f123,plain,
incident_c(sK0(sum(sK2,sK3),sum(sK2,sK4)),sum(sK2,sK3)),
inference(resolution,[],[f78,f74]) ).
fof(f74,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f153,plain,
~ incident_c(sK0(sum(sK2,sK3),sum(sK2,sK4)),sK3),
inference(resolution,[],[f151,f111]) ).
fof(f111,plain,
! [X0] :
( incident_c(X0,sK4)
| ~ incident_c(X0,sK3) ),
inference(resolution,[],[f80,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| incident_c(X2,X1)
| ~ incident_c(X2,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f80,plain,
part_of(sK3,sK4),
inference(cnf_transformation,[],[f50]) ).
fof(f151,plain,
~ incident_c(sK0(sum(sK2,sK3),sum(sK2,sK4)),sK4),
inference(resolution,[],[f122,f109]) ).
fof(f109,plain,
! [X2,X0,X4] :
( incident_c(X4,sum(X2,X0))
| ~ incident_c(X4,X0) ),
inference(equality_resolution,[],[f92]) ).
fof(f92,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X1)
| ~ incident_c(X4,X0)
| sum(X2,X0) != X1 ),
inference(cnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.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 : Mon Aug 29 20:57:00 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.19/0.50 % (13428)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (13412)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)
% 0.19/0.51 % (13420)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)
% 0.19/0.51 % (13416)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)
% 0.19/0.52 % (13420)Instruction limit reached!
% 0.19/0.52 % (13420)------------------------------
% 0.19/0.52 % (13420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13417)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53 % (13420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (13420)Termination reason: Unknown
% 0.19/0.53 % (13420)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (13420)Memory used [KB]: 6012
% 0.19/0.53 % (13420)Time elapsed: 0.118 s
% 0.19/0.53 % (13420)Instructions burned: 7 (million)
% 0.19/0.53 % (13420)------------------------------
% 0.19/0.53 % (13420)------------------------------
% 0.19/0.53 % (13429)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (13411)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (13410)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53 % (13408)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (13433)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (13409)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (13406)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)
% 0.19/0.53 % (13407)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)
% 0.19/0.53 % (13410)First to succeed.
% 0.19/0.53 % (13407)Instruction limit reached!
% 0.19/0.53 % (13407)------------------------------
% 0.19/0.53 % (13407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (13407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (13407)Termination reason: Unknown
% 0.19/0.53 % (13407)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (13407)Memory used [KB]: 6012
% 0.19/0.53 % (13407)Time elapsed: 0.127 s
% 0.19/0.53 % (13407)Instructions burned: 4 (million)
% 0.19/0.53 % (13407)------------------------------
% 0.19/0.53 % (13407)------------------------------
% 0.19/0.53 % (13427)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (13414)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (13418)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)
% 0.19/0.53 % (13415)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)
% 0.19/0.54 % (13406)Refutation not found, incomplete strategy% (13406)------------------------------
% 0.19/0.54 % (13406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (13406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (13406)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (13406)Memory used [KB]: 6140
% 0.19/0.54 % (13406)Time elapsed: 0.127 s
% 0.19/0.54 % (13406)Instructions burned: 10 (million)
% 0.19/0.54 % (13406)------------------------------
% 0.19/0.54 % (13406)------------------------------
% 0.19/0.54 % (13416)Instruction limit reached!
% 0.19/0.54 % (13416)------------------------------
% 0.19/0.54 % (13416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (13416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (13416)Termination reason: Unknown
% 0.19/0.54 % (13416)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (13416)Memory used [KB]: 6012
% 0.19/0.54 % (13416)Time elapsed: 0.138 s
% 0.19/0.54 % (13416)Instructions burned: 7 (million)
% 0.19/0.54 % (13416)------------------------------
% 0.19/0.54 % (13416)------------------------------
% 0.19/0.54 % (13415)Also succeeded, but the first one will report.
% 0.19/0.54 % (13410)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (13410)------------------------------
% 0.19/0.54 % (13410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (13410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (13410)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (13410)Memory used [KB]: 1535
% 0.19/0.54 % (13410)Time elapsed: 0.130 s
% 0.19/0.54 % (13410)Instructions burned: 6 (million)
% 0.19/0.54 % (13410)------------------------------
% 0.19/0.54 % (13410)------------------------------
% 0.19/0.54 % (13404)Success in time 0.184 s
%------------------------------------------------------------------------------