TSTP Solution File: GEO084+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --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 16:11:46 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 168 ( 11 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 194 ( 64 ~; 62 |; 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 : 94 ( 75 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f253,plain,
$false,
inference(subsumption_resolution,[],[f252,f159]) ).
fof(f159,plain,
~ incident_c(sK6(sum(sK3,sK5),sK4),sK4),
inference(resolution,[],[f117,f110]) ).
fof(f110,plain,
~ part_of(sum(sK3,sK5),sK4),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( part_of(sK5,sK4)
& meet(sK2,sK3,sK5)
& part_of(sK3,sK4)
& ~ part_of(sum(sK3,sK5),sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f39,f66]) ).
fof(f66,plain,
( ? [X0,X1,X2,X3] :
( part_of(X3,X2)
& meet(X0,X1,X3)
& part_of(X1,X2)
& ~ part_of(sum(X1,X3),X2) )
=> ( part_of(sK5,sK4)
& meet(sK2,sK3,sK5)
& part_of(sK3,sK4)
& ~ part_of(sum(sK3,sK5),sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0,X1,X2,X3] :
( part_of(X3,X2)
& meet(X0,X1,X3)
& part_of(X1,X2)
& ~ part_of(sum(X1,X3),X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X1,X2,X3,X0] :
( ~ part_of(sum(X1,X3),X2)
& part_of(X3,X2)
& meet(X0,X1,X3)
& part_of(X1,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X1,X2,X3,X0] :
( ( part_of(X3,X2)
& meet(X0,X1,X3)
& part_of(X1,X2) )
=> part_of(sum(X1,X3),X2) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X2,X1,X5,X3] :
( ( meet(X2,X1,X3)
& part_of(X3,X5)
& part_of(X1,X5) )
=> part_of(sum(X1,X3),X5) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X2,X1,X5,X3] :
( ( meet(X2,X1,X3)
& part_of(X3,X5)
& part_of(X1,X5) )
=> part_of(sum(X1,X3),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2) ).
fof(f117,plain,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
| ~ part_of(X0,X1) )
& ( part_of(X0,X1)
| ( incident_c(sK6(X0,X1),X0)
& ~ incident_c(sK6(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X3] :
( incident_c(X3,X0)
& ~ incident_c(X3,X1) )
=> ( incident_c(sK6(X0,X1),X0)
& ~ incident_c(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f72,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,[],[f71]) ).
fof(f71,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,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ! [X2] :
( ~ incident_c(X2,X0)
| incident_c(X2,X1) )
<=> part_of(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( 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/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f252,plain,
incident_c(sK6(sum(sK3,sK5),sK4),sK4),
inference(resolution,[],[f251,f167]) ).
fof(f167,plain,
! [X1] :
( ~ incident_c(X1,sK5)
| incident_c(X1,sK4) ),
inference(resolution,[],[f119,f113]) ).
fof(f113,plain,
part_of(sK5,sK4),
inference(cnf_transformation,[],[f67]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| incident_c(X2,X1)
| ~ incident_c(X2,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f251,plain,
incident_c(sK6(sum(sK3,sK5),sK4),sK5),
inference(subsumption_resolution,[],[f250,f170]) ).
fof(f170,plain,
~ incident_c(sK6(sum(sK3,sK5),sK4),sK3),
inference(resolution,[],[f166,f159]) ).
fof(f166,plain,
! [X0] :
( incident_c(X0,sK4)
| ~ incident_c(X0,sK3) ),
inference(resolution,[],[f119,f111]) ).
fof(f111,plain,
part_of(sK3,sK4),
inference(cnf_transformation,[],[f67]) ).
fof(f250,plain,
( incident_c(sK6(sum(sK3,sK5),sK4),sK5)
| incident_c(sK6(sum(sK3,sK5),sK4),sK3) ),
inference(resolution,[],[f154,f160]) ).
fof(f160,plain,
incident_c(sK6(sum(sK3,sK5),sK4),sum(sK3,sK5)),
inference(resolution,[],[f118,f110]) ).
fof(f118,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f154,plain,
! [X2,X3,X1] :
( ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X2)
| incident_c(X3,X1) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) ) )
| sum(X1,X2) != X0 )
& ( sum(X1,X2) = X0
| ( ( ( ~ incident_c(sK15(X0,X1,X2),X1)
& ~ incident_c(sK15(X0,X1,X2),X2) )
| ~ incident_c(sK15(X0,X1,X2),X0) )
& ( incident_c(sK15(X0,X1,X2),X1)
| incident_c(sK15(X0,X1,X2),X2)
| incident_c(sK15(X0,X1,X2),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f98,f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ( ~ incident_c(X4,X1)
& ~ incident_c(X4,X2) )
| ~ incident_c(X4,X0) )
& ( incident_c(X4,X1)
| incident_c(X4,X2)
| incident_c(X4,X0) ) )
=> ( ( ( ~ incident_c(sK15(X0,X1,X2),X1)
& ~ incident_c(sK15(X0,X1,X2),X2) )
| ~ incident_c(sK15(X0,X1,X2),X0) )
& ( incident_c(sK15(X0,X1,X2),X1)
| incident_c(sK15(X0,X1,X2),X2)
| incident_c(sK15(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) ) )
| sum(X1,X2) != X0 )
& ( sum(X1,X2) = X0
| ? [X4] :
( ( ( ~ incident_c(X4,X1)
& ~ incident_c(X4,X2) )
| ~ incident_c(X4,X0) )
& ( incident_c(X4,X1)
| incident_c(X4,X2)
| incident_c(X4,X0) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) ) )
| sum(X1,X2) != X0 )
& ( sum(X1,X2) = X0
| ? [X3] :
( ( ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| incident_c(X3,X0) ) ) ) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) ) )
| sum(X1,X2) != X0 )
& ( sum(X1,X2) = X0
| ? [X3] :
( ( ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| incident_c(X3,X0) ) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ! [X3] :
( incident_c(X3,X0)
<=> ( incident_c(X3,X1)
| incident_c(X3,X2) ) )
<=> sum(X1,X2) = X0 ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X3] :
( ! [X4] :
( ( incident_c(X4,X1)
| incident_c(X4,X3) )
<=> incident_c(X4,X0) )
<=> sum(X1,X3) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO084+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.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 21:09:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (19330)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (19329)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)
% 0.20/0.53 % (19343)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)
% 0.20/0.53 % (19324)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (19326)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)
% 0.20/0.53 % (19325)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)
% 0.20/0.53 % (19334)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)
% 0.20/0.53 % (19320)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)
% 0.20/0.53 % (19321)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (19321)Refutation not found, incomplete strategy% (19321)------------------------------
% 0.20/0.53 % (19321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (19321)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (19321)Memory used [KB]: 5500
% 0.20/0.53 % (19321)Time elapsed: 0.124 s
% 0.20/0.53 % (19321)Instructions burned: 5 (million)
% 0.20/0.53 % (19321)------------------------------
% 0.20/0.53 % (19321)------------------------------
% 0.20/0.53 TRYING [3]
% 0.20/0.54 % (19348)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)
% 0.20/0.54 % (19346)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (19323)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)
% 0.20/0.54 % (19350)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)
% 0.20/0.54 % (19349)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (19344)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)
% 0.20/0.54 % (19340)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)
% 0.20/0.54 % (19341)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)
% 0.20/0.55 % (19342)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (19343)First to succeed.
% 0.20/0.55 % (19335)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)
% 0.20/0.55 % (19347)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)
% 0.20/0.55 % (19332)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (19338)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (19343)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (19343)------------------------------
% 0.20/0.55 % (19343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (19343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (19343)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (19343)Memory used [KB]: 1151
% 0.20/0.55 % (19343)Time elapsed: 0.023 s
% 0.20/0.55 % (19343)Instructions burned: 11 (million)
% 0.20/0.55 % (19343)------------------------------
% 0.20/0.55 % (19343)------------------------------
% 0.20/0.55 % (19319)Success in time 0.195 s
%------------------------------------------------------------------------------