TSTP Solution File: GEO603+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO603+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Sun May 5 05:32:28 EDT 2024
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 20 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 121 ( 41 ~; 27 |; 39 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 161 ( 136 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5574,plain,
$false,
inference(subsumption_resolution,[],[f5563,f3825]) ).
fof(f3825,plain,
para(sK10,sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f3357,f3337,f466]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f3337,plain,
perp(sK12(sK4,sK8,sK9,sK10),sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f3327,f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f3327,plain,
perp(sK12(sK4,sK8,sK9,sK10),sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f380,f415]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK12(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK12(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f217,f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK12(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f380,plain,
circle(sK10,sK4,sK8,sK9),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
( ~ coll(sK4,sK10,sK7)
& circle(sK10,sK4,sK8,sK9)
& coll(sK9,sK4,sK6)
& para(sK5,sK6,sK9,sK8)
& coll(sK8,sK4,sK5)
& circle(sK7,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f169,f329]) ).
fof(f329,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X0,X6,X3)
& circle(X6,X0,X4,X5)
& coll(X5,X0,X2)
& para(X1,X2,X5,X4)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ coll(sK4,sK10,sK7)
& circle(sK10,sK4,sK8,sK9)
& coll(sK9,sK4,sK6)
& para(sK5,sK6,sK9,sK8)
& coll(sK8,sK4,sK5)
& circle(sK7,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X0,X6,X3)
& circle(X6,X0,X4,X5)
& coll(X5,X0,X2)
& para(X1,X2,X5,X4)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X0,X6,X3)
& circle(X6,X0,X4,X5)
& coll(X5,X0,X2)
& para(X1,X2,X5,X4)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X6,X0,X4,X5)
& coll(X5,X0,X2)
& para(X1,X2,X5,X4)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> coll(X0,X6,X3) ),
inference(rectify,[],[f96]) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X12] :
( ( circle(X12,X0,X4,X5)
& coll(X5,X0,X2)
& para(X1,X2,X5,X4)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> coll(X0,X12,X3) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X12] :
( ( circle(X12,X0,X4,X5)
& coll(X5,X0,X2)
& para(X1,X2,X5,X4)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> coll(X0,X12,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618065) ).
fof(f3357,plain,
perp(sK10,sK4,sK12(sK4,sK8,sK9,sK10),sK4),
inference(unit_resulting_resolution,[],[f3337,f400]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f5563,plain,
~ para(sK10,sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f4245,f387]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f4245,plain,
~ coll(sK10,sK4,sK4),
inference(unit_resulting_resolution,[],[f4014,f386]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f4014,plain,
~ coll(sK4,sK10,sK4),
inference(unit_resulting_resolution,[],[f3910,f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f3910,plain,
~ coll(sK4,sK4,sK10),
inference(unit_resulting_resolution,[],[f524,f3878,f404]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| coll(X2,X3,X0)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f3878,plain,
coll(sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f3869,f3869,f404]) ).
fof(f3869,plain,
coll(sK7,sK7,sK4),
inference(unit_resulting_resolution,[],[f3844,f3844,f404]) ).
fof(f3844,plain,
coll(sK4,sK7,sK7),
inference(unit_resulting_resolution,[],[f3806,f387]) ).
fof(f3806,plain,
para(sK4,sK7,sK4,sK7),
inference(unit_resulting_resolution,[],[f3330,f3326,f466]) ).
fof(f3326,plain,
perp(sK12(sK4,sK5,sK6,sK7),sK4,sK4,sK7),
inference(unit_resulting_resolution,[],[f376,f415]) ).
fof(f376,plain,
circle(sK7,sK4,sK5,sK6),
inference(cnf_transformation,[],[f330]) ).
fof(f3330,plain,
perp(sK4,sK7,sK12(sK4,sK5,sK6,sK7),sK4),
inference(unit_resulting_resolution,[],[f3326,f400]) ).
fof(f524,plain,
~ coll(sK10,sK7,sK4),
inference(unit_resulting_resolution,[],[f513,f385]) ).
fof(f513,plain,
~ coll(sK10,sK4,sK7),
inference(unit_resulting_resolution,[],[f381,f386]) ).
fof(f381,plain,
~ coll(sK4,sK10,sK7),
inference(cnf_transformation,[],[f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO603+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n003.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 : Fri May 3 22:00:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (24602)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (24603)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (24605)WARNING: value z3 for option sas not known
% 0.13/0.37 % (24604)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (24606)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (24607)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (24605)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (24608)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (24609)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.41 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.44 % (24609)First to succeed.
% 0.20/0.44 % (24609)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24602"
% 0.20/0.44 % (24609)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Theorem for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (24609)------------------------------
% 0.20/0.44 % (24609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44 % (24609)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (24609)Memory used [KB]: 1727
% 0.20/0.44 % (24609)Time elapsed: 0.068 s
% 0.20/0.44 % (24609)Instructions burned: 125 (million)
% 0.20/0.44 % (24602)Success in time 0.077 s
%------------------------------------------------------------------------------