TSTP Solution File: GEO084+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO084+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 : n002.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 16:08:05 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 8 unt; 0 def)
% Number of atoms : 169 ( 11 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 198 ( 66 ~; 61 |; 56 &)
% ( 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 : 98 ( 75 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f187,plain,
$false,
inference(unit_resulting_resolution,[],[f167,f155,f169,f152]) ).
fof(f152,plain,
! [X0,X1,X4] :
( ~ incident_c(X4,sum(X0,X1))
| incident_c(X4,X0)
| incident_c(X4,X1) ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X1)
| incident_c(X4,X0)
| ~ incident_c(X4,X2)
| sum(X0,X1) != X2 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( sum(X0,X1) = X2
| ( ( ( ~ incident_c(sK11(X0,X1,X2),X1)
& ~ incident_c(sK11(X0,X1,X2),X0) )
| ~ incident_c(sK11(X0,X1,X2),X2) )
& ( incident_c(sK11(X0,X1,X2),X1)
| incident_c(sK11(X0,X1,X2),X0)
| incident_c(sK11(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X2)
| ( ~ incident_c(X4,X1)
& ~ incident_c(X4,X0) ) )
& ( incident_c(X4,X1)
| incident_c(X4,X0)
| ~ incident_c(X4,X2) ) )
| sum(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f90,f91]) ).
fof(f91,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(sK11(X0,X1,X2),X1)
& ~ incident_c(sK11(X0,X1,X2),X0) )
| ~ incident_c(sK11(X0,X1,X2),X2) )
& ( incident_c(sK11(X0,X1,X2),X1)
| incident_c(sK11(X0,X1,X2),X0)
| incident_c(sK11(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( sum(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) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X2)
| ( ~ incident_c(X4,X1)
& ~ incident_c(X4,X0) ) )
& ( incident_c(X4,X1)
| incident_c(X4,X0)
| ~ incident_c(X4,X2) ) )
| sum(X0,X1) != X2 ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0,X2] :
( ( sum(X1,X0) = X2
| ? [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,X2)
| ( ~ incident_c(X3,X0)
& ~ incident_c(X3,X1) ) )
& ( incident_c(X3,X0)
| incident_c(X3,X1)
| ~ incident_c(X3,X2) ) )
| sum(X1,X0) != X2 ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X1,X0,X2] :
( ( sum(X1,X0) = X2
| ? [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,X2)
| ( ~ incident_c(X3,X0)
& ~ incident_c(X3,X1) ) )
& ( incident_c(X3,X0)
| incident_c(X3,X1)
| ~ incident_c(X3,X2) ) )
| sum(X1,X0) != X2 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0,X2] :
( sum(X1,X0) = X2
<=> ! [X3] :
( incident_c(X3,X2)
<=> ( incident_c(X3,X0)
| incident_c(X3,X1) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X1,X0] :
( ! [X4] :
( incident_c(X4,X0)
<=> ( incident_c(X4,X3)
| incident_c(X4,X1) ) )
<=> sum(X1,X3) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn) ).
fof(f169,plain,
~ incident_c(sK4(sum(sK13,sK14),sK15),sK13),
inference(resolution,[],[f160,f156]) ).
fof(f156,plain,
~ incident_c(sK4(sum(sK13,sK14),sK15),sK15),
inference(resolution,[],[f112,f146]) ).
fof(f146,plain,
~ part_of(sum(sK13,sK14),sK15),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( part_of(sK13,sK15)
& meet(sK16,sK13,sK14)
& ~ part_of(sum(sK13,sK14),sK15)
& part_of(sK14,sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f101,f102]) ).
fof(f102,plain,
( ? [X0,X1,X2,X3] :
( part_of(X0,X2)
& meet(X3,X0,X1)
& ~ part_of(sum(X0,X1),X2)
& part_of(X1,X2) )
=> ( part_of(sK13,sK15)
& meet(sK16,sK13,sK14)
& ~ part_of(sum(sK13,sK14),sK15)
& part_of(sK14,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0,X1,X2,X3] :
( part_of(X0,X2)
& meet(X3,X0,X1)
& ~ part_of(sum(X0,X1),X2)
& part_of(X1,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X2,X3,X0,X1] :
( part_of(X2,X0)
& meet(X1,X2,X3)
& ~ part_of(sum(X2,X3),X0)
& part_of(X3,X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X2,X1,X0,X3] :
( ~ part_of(sum(X2,X3),X0)
& meet(X1,X2,X3)
& part_of(X3,X0)
& part_of(X2,X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ! [X2,X1,X0,X3] :
( ( meet(X1,X2,X3)
& part_of(X3,X0)
& part_of(X2,X0) )
=> part_of(sum(X2,X3),X0) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X5,X2,X1,X3] :
( ( part_of(X3,X5)
& part_of(X1,X5)
& meet(X2,X1,X3) )
=> part_of(sum(X1,X3),X5) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X5,X2,X1,X3] :
( ( part_of(X3,X5)
& part_of(X1,X5)
& meet(X2,X1,X3) )
=> part_of(sum(X1,X3),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2) ).
fof(f112,plain,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ( ~ incident_c(sK4(X0,X1),X1)
& incident_c(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( incident_c(X3,X1)
| ~ incident_c(X3,X0) )
| ~ part_of(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f69,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) )
=> ( ~ incident_c(sK4(X0,X1),X1)
& incident_c(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) ) )
& ( ! [X3] :
( incident_c(X3,X1)
| ~ incident_c(X3,X0) )
| ~ part_of(X0,X1) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) ) )
& ( ! [X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0) )
| ~ part_of(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( part_of(X0,X1)
<=> ! [X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ! [X2] :
( incident_c(X2,X0)
=> incident_c(X2,X1) )
<=> part_of(X0,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/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f160,plain,
! [X1] :
( incident_c(X1,sK15)
| ~ incident_c(X1,sK13) ),
inference(resolution,[],[f110,f148]) ).
fof(f148,plain,
part_of(sK13,sK15),
inference(cnf_transformation,[],[f103]) ).
fof(f110,plain,
! [X3,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X3,X0)
| incident_c(X3,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f155,plain,
incident_c(sK4(sum(sK13,sK14),sK15),sum(sK13,sK14)),
inference(resolution,[],[f111,f146]) ).
fof(f111,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f167,plain,
~ incident_c(sK4(sum(sK13,sK14),sK15),sK14),
inference(resolution,[],[f159,f156]) ).
fof(f159,plain,
! [X0] :
( incident_c(X0,sK15)
| ~ incident_c(X0,sK14) ),
inference(resolution,[],[f110,f145]) ).
fof(f145,plain,
part_of(sK14,sK15),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO084+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % 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 : n002.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 21:23:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52 % (29557)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)
% 0.20/0.52 % (29575)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)
% 0.20/0.52 % (29566)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)
% 0.20/0.52 % (29558)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 % (29573)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)
% 0.20/0.53 % (29566)Instruction limit reached!
% 0.20/0.53 % (29566)------------------------------
% 0.20/0.53 % (29566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29579)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 % (29579)First to succeed.
% 0.20/0.54 % (29554)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)
% 0.20/0.54 % (29566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29566)Termination reason: Unknown
% 0.20/0.54 % (29566)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (29566)Memory used [KB]: 6140
% 0.20/0.54 % (29566)Time elapsed: 0.116 s
% 0.20/0.54 % (29566)Instructions burned: 8 (million)
% 0.20/0.54 % (29566)------------------------------
% 0.20/0.54 % (29566)------------------------------
% 0.20/0.54 % (29565)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (29578)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (29551)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (29568)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (29565)Instruction limit reached!
% 0.20/0.54 % (29565)------------------------------
% 0.20/0.54 % (29565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29565)Termination reason: Unknown
% 0.20/0.54 % (29565)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (29565)Memory used [KB]: 6012
% 0.20/0.54 % (29565)Time elapsed: 0.003 s
% 0.20/0.54 % (29565)Instructions burned: 4 (million)
% 0.20/0.54 % (29565)------------------------------
% 0.20/0.54 % (29565)------------------------------
% 0.20/0.54 % (29556)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)
% 0.20/0.54 % (29562)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)
% 0.20/0.54 % (29553)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)
% 0.20/0.54 % (29579)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 % (29579)------------------------------
% 0.20/0.54 % (29579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29579)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (29579)Memory used [KB]: 6012
% 0.20/0.54 % (29579)Time elapsed: 0.125 s
% 0.20/0.54 % (29579)Instructions burned: 5 (million)
% 0.20/0.54 % (29579)------------------------------
% 0.20/0.54 % (29579)------------------------------
% 0.20/0.54 % (29550)Success in time 0.189 s
%------------------------------------------------------------------------------