TSTP Solution File: GEO342+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO342+1 : TPTP v8.1.0. Released v4.1.0.
% 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 16:09:59 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 10 unt; 0 def)
% Number of atoms : 254 ( 84 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 301 ( 106 ~; 102 |; 82 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 79 ( 55 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2303,plain,
$false,
inference(avatar_sat_refutation,[],[f2255,f2257,f2279,f2281,f2283,f2297]) ).
fof(f2297,plain,
~ spl51_17,
inference(avatar_contradiction_clause,[],[f2296]) ).
fof(f2296,plain,
( $false
| ~ spl51_17 ),
inference(trivial_inequality_removal,[],[f2295]) ).
fof(f2295,plain,
( sK39 != sK39
| ~ spl51_17 ),
inference(superposition,[],[f954,f2274]) ).
fof(f2274,plain,
( sK40 = sK39
| ~ spl51_17 ),
inference(avatar_component_clause,[],[f2272]) ).
fof(f2272,plain,
( spl51_17
<=> sK40 = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_17])]) ).
fof(f954,plain,
sK40 != sK39,
inference(definition_unfolding,[],[f886,f881,f879]) ).
fof(f879,plain,
vd1401 = sK40,
inference(cnf_transformation,[],[f622]) ).
fof(f622,plain,
( vd1399 != vd1401
& ron(vd1399,vd1406)
& vd1399 != vd1400
& vd1401 != vd1400
& rline(vd1407)
& vd1399 = sK39
& rpoint(sK39)
& vd1401 = sK40
& rpoint(sK40)
& ron(vd1400,vd1406)
& vd1400 = sK41
& rpoint(sK41)
& vd1406 = vd1407 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41])],[f618,f621,f620,f619]) ).
fof(f619,plain,
( ? [X0] :
( vd1399 = X0
& rpoint(X0) )
=> ( vd1399 = sK39
& rpoint(sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f620,plain,
( ? [X1] :
( vd1401 = X1
& rpoint(X1) )
=> ( vd1401 = sK40
& rpoint(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f621,plain,
( ? [X2] :
( vd1400 = X2
& rpoint(X2) )
=> ( vd1400 = sK41
& rpoint(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f618,plain,
( vd1399 != vd1401
& ron(vd1399,vd1406)
& vd1399 != vd1400
& vd1401 != vd1400
& rline(vd1407)
& ? [X0] :
( vd1399 = X0
& rpoint(X0) )
& ? [X1] :
( vd1401 = X1
& rpoint(X1) )
& ron(vd1400,vd1406)
& ? [X2] :
( vd1400 = X2
& rpoint(X2) )
& vd1406 = vd1407 ),
inference(rectify,[],[f190]) ).
fof(f190,plain,
( vd1399 != vd1401
& ron(vd1399,vd1406)
& vd1399 != vd1400
& vd1401 != vd1400
& rline(vd1407)
& ? [X2] :
( vd1399 = X2
& rpoint(X2) )
& ? [X0] :
( vd1401 = X0
& rpoint(X0) )
& ron(vd1400,vd1406)
& ? [X1] :
( vd1400 = X1
& rpoint(X1) )
& vd1406 = vd1407 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
( ? [X1] :
( vd1401 = X1
& rpoint(X1) )
& vd1399 != vd1400
& vd1399 != vd1401
& ? [X2] :
( vd1400 = X2
& rpoint(X2) )
& vd1401 != vd1400
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& rline(vd1407)
& ? [X3] :
( rpoint(X3)
& vd1399 = X3 )
& vd1406 = vd1407 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(f881,plain,
vd1399 = sK39,
inference(cnf_transformation,[],[f622]) ).
fof(f886,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f622]) ).
fof(f2283,plain,
( ~ spl51_16
| spl51_17
| ~ spl51_13
| spl51_18 ),
inference(avatar_split_clause,[],[f2282,f2276,f2249,f2272,f2268]) ).
fof(f2268,plain,
( spl51_16
<=> rpoint(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_16])]) ).
fof(f2249,plain,
( spl51_13
<=> rpoint(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_13])]) ).
fof(f2276,plain,
( spl51_18
<=> rline(sK10(sK40,sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_18])]) ).
fof(f2282,plain,
( ~ rpoint(sK40)
| sK40 = sK39
| ~ rpoint(sK39)
| spl51_18 ),
inference(resolution,[],[f2278,f1130]) ).
fof(f1130,plain,
! [X2,X3] :
( rline(sK10(X3,X2))
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1129]) ).
fof(f1129,plain,
! [X2,X3,X0] :
( ~ rpoint(X2)
| ~ rpoint(X3)
| X0 != X3
| X0 = X2
| rline(sK10(X0,X2)) ),
inference(equality_resolution,[],[f716]) ).
fof(f716,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X0 != X3
| X0 = X1
| rline(sK10(X0,X1)) ),
inference(cnf_transformation,[],[f500]) ).
fof(f500,plain,
! [X0,X1] :
( ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| X0 = X1
| ( ron(X0,sK10(X0,X1))
& ron(X1,sK10(X0,X1))
& rline(sK10(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f498,f499]) ).
fof(f499,plain,
! [X0,X1] :
( ? [X4] :
( ron(X0,X4)
& ron(X1,X4)
& rline(X4) )
=> ( ron(X0,sK10(X0,X1))
& ron(X1,sK10(X0,X1))
& rline(sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f498,plain,
! [X0,X1] :
( ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| X0 = X1
| ? [X4] :
( ron(X0,X4)
& ron(X1,X4)
& rline(X4) ) ),
inference(rectify,[],[f331]) ).
fof(f331,plain,
! [X1,X0] :
( ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1
| ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
inference(flattening,[],[f330]) ).
fof(f330,plain,
! [X1,X0] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f228]) ).
fof(f228,plain,
! [X1,X0] :
( ( X0 != X1
& ? [X2] :
( X0 = X2
& rpoint(X2) )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X123,X122] :
( ( X122 != X123
& ? [X124] :
( rpoint(X124)
& X123 = X124 )
& ? [X125] :
( rpoint(X125)
& X122 = X125 ) )
=> ? [X126] :
( rline(X126)
& ron(X123,X126)
& ron(X122,X126) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f2278,plain,
( ~ rline(sK10(sK40,sK39))
| spl51_18 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f2281,plain,
spl51_16,
inference(avatar_contradiction_clause,[],[f2280]) ).
fof(f2280,plain,
( $false
| spl51_16 ),
inference(resolution,[],[f2270,f880]) ).
fof(f880,plain,
rpoint(sK39),
inference(cnf_transformation,[],[f622]) ).
fof(f2270,plain,
( ~ rpoint(sK39)
| spl51_16 ),
inference(avatar_component_clause,[],[f2268]) ).
fof(f2279,plain,
( ~ spl51_16
| spl51_17
| ~ spl51_13
| ~ spl51_18
| ~ spl51_14 ),
inference(avatar_split_clause,[],[f2262,f2253,f2276,f2249,f2272,f2268]) ).
fof(f2253,plain,
( spl51_14
<=> ! [X0] :
( ~ ron(sK39,sK10(sK40,X0))
| ~ rpoint(X0)
| ~ rline(sK10(sK40,X0))
| sK40 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).
fof(f2262,plain,
( ~ rline(sK10(sK40,sK39))
| ~ rpoint(sK40)
| sK40 = sK39
| ~ rpoint(sK39)
| ~ spl51_14 ),
inference(duplicate_literal_removal,[],[f2260]) ).
fof(f2260,plain,
( ~ rpoint(sK39)
| ~ rpoint(sK40)
| ~ rline(sK10(sK40,sK39))
| sK40 = sK39
| ~ rpoint(sK39)
| sK40 = sK39
| ~ spl51_14 ),
inference(resolution,[],[f1128,f2254]) ).
fof(f2254,plain,
( ! [X0] :
( ~ ron(sK39,sK10(sK40,X0))
| sK40 = X0
| ~ rline(sK10(sK40,X0))
| ~ rpoint(X0) )
| ~ spl51_14 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f1128,plain,
! [X2,X3] :
( ron(X2,sK10(X3,X2))
| ~ rpoint(X3)
| X2 = X3
| ~ rpoint(X2) ),
inference(equality_resolution,[],[f1127]) ).
fof(f1127,plain,
! [X2,X3,X0] :
( ~ rpoint(X2)
| ~ rpoint(X3)
| X0 != X3
| X0 = X2
| ron(X2,sK10(X0,X2)) ),
inference(equality_resolution,[],[f717]) ).
fof(f717,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X0 != X3
| X0 = X1
| ron(X1,sK10(X0,X1)) ),
inference(cnf_transformation,[],[f500]) ).
fof(f2257,plain,
spl51_13,
inference(avatar_contradiction_clause,[],[f2256]) ).
fof(f2256,plain,
( $false
| spl51_13 ),
inference(resolution,[],[f2251,f878]) ).
fof(f878,plain,
rpoint(sK40),
inference(cnf_transformation,[],[f622]) ).
fof(f2251,plain,
( ~ rpoint(sK40)
| spl51_13 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f2255,plain,
( ~ spl51_13
| spl51_14 ),
inference(avatar_split_clause,[],[f2247,f2253,f2249]) ).
fof(f2247,plain,
! [X0] :
( ~ ron(sK39,sK10(sK40,X0))
| sK40 = X0
| ~ rpoint(sK40)
| ~ rline(sK10(sK40,X0))
| ~ rpoint(X0) ),
inference(resolution,[],[f1126,f943]) ).
fof(f943,plain,
! [X0] :
( ~ ron(sK40,X0)
| ~ rline(X0)
| ~ ron(sK39,X0) ),
inference(definition_unfolding,[],[f672,f879,f881]) ).
fof(f672,plain,
! [X0] :
( ~ ron(vd1401,X0)
| ~ rline(X0)
| ~ ron(vd1399,X0) ),
inference(cnf_transformation,[],[f441]) ).
fof(f441,plain,
! [X0] :
( ~ ron(vd1401,X0)
| ~ rline(X0)
| ~ ron(vd1399,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
( ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(thee(the(408), 1))') ).
fof(f1126,plain,
! [X2,X3] :
( ron(X3,sK10(X3,X2))
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1125]) ).
fof(f1125,plain,
! [X2,X3,X0] :
( ~ rpoint(X2)
| ~ rpoint(X3)
| X0 != X3
| X0 = X2
| ron(X0,sK10(X0,X2)) ),
inference(equality_resolution,[],[f718]) ).
fof(f718,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X0 != X3
| X0 = X1
| ron(X0,sK10(X0,X1)) ),
inference(cnf_transformation,[],[f500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO342+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:37:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.44 % (30526)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)
% 0.20/0.46 % (30516)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)
% 0.20/0.46 % (30526)Instruction limit reached!
% 0.20/0.46 % (30526)------------------------------
% 0.20/0.46 % (30526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (30526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (30526)Termination reason: Unknown
% 0.20/0.46 % (30526)Termination phase: Preprocessing 1
% 0.20/0.46
% 0.20/0.46 % (30526)Memory used [KB]: 2558
% 0.20/0.46 % (30526)Time elapsed: 0.005 s
% 0.20/0.46 % (30526)Instructions burned: 4 (million)
% 0.20/0.46 % (30526)------------------------------
% 0.20/0.46 % (30526)------------------------------
% 0.20/0.48 % (30534)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)
% 0.20/0.48 % (30516)Instruction limit reached!
% 0.20/0.48 % (30516)------------------------------
% 0.20/0.48 % (30516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (30516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (30516)Termination reason: Unknown
% 0.20/0.48 % (30516)Termination phase: Preprocessing 3
% 0.20/0.48
% 0.20/0.48 % (30516)Memory used [KB]: 3582
% 0.20/0.48 % (30516)Time elapsed: 0.016 s
% 0.20/0.48 % (30516)Instructions burned: 15 (million)
% 0.20/0.48 % (30516)------------------------------
% 0.20/0.48 % (30516)------------------------------
% 0.20/0.52 % (30527)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 % (30511)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (30541)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.52 % (30527)Instruction limit reached!
% 0.20/0.52 % (30527)------------------------------
% 0.20/0.52 % (30527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30527)Termination reason: Unknown
% 0.20/0.52 % (30527)Termination phase: Naming
% 0.20/0.52
% 0.20/0.52 % (30527)Memory used [KB]: 3326
% 0.20/0.52 % (30527)Time elapsed: 0.006 s
% 0.20/0.52 % (30527)Instructions burned: 8 (million)
% 0.20/0.52 % (30527)------------------------------
% 0.20/0.52 % (30527)------------------------------
% 0.20/0.53 % (30535)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)
% 0.20/0.53 % (30525)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 % (30536)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)
% 0.20/0.54 % (30534)First to succeed.
% 0.20/0.54 % (30514)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 % (30512)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)
% 0.20/0.54 % (30517)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)
% 0.20/0.54 % (30512)Also succeeded, but the first one will report.
% 0.20/0.54 % (30534)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 % (30534)------------------------------
% 0.20/0.54 % (30534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30534)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (30534)Memory used [KB]: 8827
% 0.20/0.54 % (30534)Time elapsed: 0.134 s
% 0.20/0.54 % (30534)Instructions burned: 49 (million)
% 0.20/0.54 % (30534)------------------------------
% 0.20/0.54 % (30534)------------------------------
% 0.20/0.54 % (30506)Success in time 0.184 s
%------------------------------------------------------------------------------