TSTP Solution File: GEO082+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO082+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_sat --cores 0 -t %d %s
% Computer : n018.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 16:11:46 EDT 2022
% Result : Theorem 1.48s 0.57s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% Number of atoms : 114 ( 21 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 118 ( 40 ~; 36 |; 28 &)
% ( 4 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 49 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f236,plain,
$false,
inference(subsumption_resolution,[],[f234,f230]) ).
fof(f230,plain,
incident_c(sK0(sK6,sK5),sK5),
inference(subsumption_resolution,[],[f226,f116]) ).
fof(f116,plain,
sK6 != sK5,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( part_of(sK6,sK5)
& part_of(sK5,sK6)
& sK6 != sK5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f73,f74]) ).
fof(f74,plain,
( ? [X0,X1] :
( part_of(X1,X0)
& part_of(X0,X1)
& X0 != X1 )
=> ( part_of(sK6,sK5)
& part_of(sK5,sK6)
& sK6 != sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0,X1] :
( part_of(X1,X0)
& part_of(X0,X1)
& X0 != X1 ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
? [X1,X0] :
( part_of(X0,X1)
& part_of(X1,X0)
& X0 != X1 ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0,X1] :
( X0 != X1
& part_of(X0,X1)
& part_of(X1,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0,X1] :
( ( part_of(X0,X1)
& part_of(X1,X0) )
=> X0 = X1 ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X1] :
( ( part_of(X1,X3)
& part_of(X3,X1) )
=> X1 = X3 ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X1] :
( ( part_of(X1,X3)
& part_of(X3,X1) )
=> X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
fof(f226,plain,
( incident_c(sK0(sK6,sK5),sK5)
| sK6 = sK5 ),
inference(factoring,[],[f199]) ).
fof(f199,plain,
! [X3] :
( incident_c(sK0(sK6,X3),sK5)
| incident_c(sK0(sK6,X3),X3)
| sK6 = X3 ),
inference(resolution,[],[f107,f169]) ).
fof(f169,plain,
! [X1] :
( ~ incident_c(X1,sK6)
| incident_c(X1,sK5) ),
inference(resolution,[],[f112,f118]) ).
fof(f118,plain,
part_of(sK6,sK5),
inference(cnf_transformation,[],[f75]) ).
fof(f112,plain,
! [X3,X0,X1] :
( ~ part_of(X0,X1)
| incident_c(X3,X1)
| ~ incident_c(X3,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ( incident_c(sK3(X0,X1),X0)
& ~ incident_c(sK3(X0,X1),X1) ) )
& ( ! [X3] :
( ~ incident_c(X3,X0)
| incident_c(X3,X1) )
| ~ part_of(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X2] :
( incident_c(X2,X0)
& ~ incident_c(X2,X1) )
=> ( incident_c(sK3(X0,X1),X0)
& ~ incident_c(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ? [X2] :
( incident_c(X2,X0)
& ~ incident_c(X2,X1) ) )
& ( ! [X3] :
( ~ incident_c(X3,X0)
| incident_c(X3,X1) )
| ~ part_of(X0,X1) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ( part_of(X1,X0)
| ? [X2] :
( incident_c(X2,X1)
& ~ incident_c(X2,X0) ) )
& ( ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( part_of(X1,X0)
<=> ! [X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,X0) ) ),
inference(ennf_transformation,[],[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(f107,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| incident_c(sK0(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( ( ~ incident_c(sK0(X0,X1),X0)
| ~ incident_c(sK0(X0,X1),X1) )
& ( incident_c(sK0(X0,X1),X0)
| incident_c(sK0(X0,X1),X1) ) )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f60,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ incident_c(X2,X0)
| ~ incident_c(X2,X1) )
& ( incident_c(X2,X0)
| incident_c(X2,X1) ) )
=> ( ( ~ incident_c(sK0(X0,X1),X0)
| ~ incident_c(sK0(X0,X1),X1) )
& ( incident_c(sK0(X0,X1),X0)
| incident_c(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ incident_c(X2,X0)
| ~ incident_c(X2,X1) )
& ( incident_c(X2,X0)
| incident_c(X2,X1) ) )
| X0 = X1 ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ? [X2] :
( ( ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) )
& ( incident_c(X2,X1)
| incident_c(X2,X0) ) )
| X0 = X1 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ? [X2] :
( incident_c(X2,X0)
<~> incident_c(X2,X1) )
| X0 = X1 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ! [X2] :
( incident_c(X2,X1)
<=> incident_c(X2,X0) )
=> X0 = X1 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ! [X2] :
( incident_c(X2,X0)
<=> incident_c(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
fof(f234,plain,
~ incident_c(sK0(sK6,sK5),sK5),
inference(resolution,[],[f232,f168]) ).
fof(f168,plain,
! [X0] :
( incident_c(X0,sK6)
| ~ incident_c(X0,sK5) ),
inference(resolution,[],[f112,f117]) ).
fof(f117,plain,
part_of(sK5,sK6),
inference(cnf_transformation,[],[f75]) ).
fof(f232,plain,
~ incident_c(sK0(sK6,sK5),sK6),
inference(subsumption_resolution,[],[f231,f116]) ).
fof(f231,plain,
( ~ incident_c(sK0(sK6,sK5),sK6)
| sK6 = sK5 ),
inference(resolution,[],[f230,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X1)
| X0 = X1
| ~ incident_c(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.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 : Mon Aug 29 21:15:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.19/0.48 % (6244)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.49 % (6236)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.33/0.53 % (6226)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.33/0.53 % (6227)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)
% 1.33/0.53 % (6228)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.53 % (6229)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)
% 1.33/0.53 % (6225)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.53 % (6246)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)
% 1.33/0.53 % (6232)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.54 % (6232)Instruction limit reached!
% 1.33/0.54 % (6232)------------------------------
% 1.33/0.54 % (6232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (6232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (6232)Termination reason: Unknown
% 1.33/0.54 % (6232)Termination phase: Property scanning
% 1.33/0.54
% 1.33/0.54 % (6232)Memory used [KB]: 895
% 1.33/0.54 % (6232)Time elapsed: 0.004 s
% 1.33/0.54 % (6232)Instructions burned: 3 (million)
% 1.33/0.54 % (6232)------------------------------
% 1.33/0.54 % (6232)------------------------------
% 1.33/0.54 % (6234)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.54 % (6233)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.54 % (6238)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)
% 1.33/0.54 % (6235)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.54 % (6231)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.54 % (6231)Instruction limit reached!
% 1.33/0.54 % (6231)------------------------------
% 1.33/0.54 % (6231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (6231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (6231)Termination reason: Unknown
% 1.33/0.54 % (6231)Termination phase: Saturation
% 1.33/0.54
% 1.33/0.54 % (6231)Memory used [KB]: 5500
% 1.33/0.54 % (6231)Time elapsed: 0.135 s
% 1.33/0.54 % (6231)Instructions burned: 7 (million)
% 1.33/0.54 % (6231)------------------------------
% 1.33/0.54 % (6231)------------------------------
% 1.48/0.54 % (6224)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)
% 1.48/0.54 % (6230)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)
% 1.48/0.54 % (6247)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)
% 1.48/0.55 % (6251)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.48/0.55 % (6249)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.48/0.55 % (6250)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)
% 1.48/0.55 % (6248)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.48/0.55 TRYING [1]
% 1.48/0.55 TRYING [1]
% 1.48/0.55 TRYING [2]
% 1.48/0.55 TRYING [2]
% 1.48/0.55 % (6240)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)
% 1.48/0.55 TRYING [3]
% 1.48/0.55 % (6239)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)
% 1.48/0.55 % (6241)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.48/0.55 % (6243)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.48/0.55 % (6242)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.48/0.55 % (6252)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.48/0.55 % (6253)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.48/0.55 TRYING [1]
% 1.48/0.55 TRYING [2]
% 1.48/0.55 % (6225)Refutation not found, incomplete strategy% (6225)------------------------------
% 1.48/0.55 % (6225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (6225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (6225)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.55
% 1.48/0.55 % (6225)Memory used [KB]: 5500
% 1.48/0.55 % (6225)Time elapsed: 0.156 s
% 1.48/0.55 % (6225)Instructions burned: 5 (million)
% 1.48/0.55 % (6225)------------------------------
% 1.48/0.55 % (6225)------------------------------
% 1.48/0.56 % (6245)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.48/0.56 % (6237)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.48/0.57 TRYING [3]
% 1.48/0.57 % (6251)First to succeed.
% 1.48/0.57 % (6251)Refutation found. Thanks to Tanya!
% 1.48/0.57 % SZS status Theorem for theBenchmark
% 1.48/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.57 % (6251)------------------------------
% 1.48/0.57 % (6251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.57 % (6251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.57 % (6251)Termination reason: Refutation
% 1.48/0.57
% 1.48/0.57 % (6251)Memory used [KB]: 1151
% 1.48/0.57 % (6251)Time elapsed: 0.152 s
% 1.48/0.57 % (6251)Instructions burned: 6 (million)
% 1.48/0.57 % (6251)------------------------------
% 1.48/0.57 % (6251)------------------------------
% 1.48/0.57 % (6223)Success in time 0.216 s
%------------------------------------------------------------------------------