TSTP Solution File: COL093-2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : COL093-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n021.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 : Tue Aug 22 10:35:04 EDT 2023
% Result : Unsatisfiable 57.60s 41.20s
% Output : CNFRefutation 57.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 106
% Syntax : Number of formulae : 168 ( 33 unt; 92 typ; 0 def)
% Number of atoms : 134 ( 32 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 110 ( 52 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 188 ( 83 >; 105 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-8 aty)
% Number of functors : 76 ( 76 usr; 9 con; 0-4 aty)
% Number of variables : 87 (; 87 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rmultE_c2 > rmultE_c1 > ap_parcontractE_c4 > ap_parcontractE_c3 > ap_parcontractE_c2 > ap_parcontractE_c1 > ap_contractE_c4 > ap_contractE_c3 > ap_contractE_c2 > ap_contractE_c1 > subset > member > lt > le > ord > card > rmult > radd > vimageE_sk1 > sumE_sk2 > sumE_sk1 > subsetD_sk1 > qsumE_sk2 > qsumE_sk1 > imageE_sk1 > cons_subsetI_sk1 > cons_subsetE_sk1 > compE_sk3 > compE_sk2 > compE_sk1 > ap_parcontractE_sk2s > ap_parcontractE_sk2q > ap_parcontractE_sk1q > ap_parcontractE_sk1p > ap_contractE_sk3q > ap_contractE_sk2q > ap_contractE_sk1q > ap_contractE_sk1p > vimage > unionE_sk1 > un > subsetI_sk1 > rangeE_sk1 > qsum > qconverseE_sk2 > qconverseE_sk1 > qPair > powI_sk1 > pair > interI_sk1 > int > image > idE_sk1 > fieldE_sk2 > fieldE_sk1 > domainE_sk1 > disjsum > diff > converseE_sk2 > converseE_sk1 > cons > comp > comb_app > #nlpp > union > succ > rtrancl > range > qconverse > qInr > qInl > pow > order_Union_sk1 > order_Inter_sk1 > memrel > inter > inr > inl > id > fin > field > domain > converse > card_Union_sk1 > r > parcontract > p > nat > eptset > contract > combS > combK > comb
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fin,type,
fin: $i > $i ).
tff(ap_parcontractE_sk1p,type,
ap_parcontractE_sk1p: ( $i * $i * $i ) > $i ).
tff(id,type,
id: $i > $i ).
tff(order_Union_sk1,type,
order_Union_sk1: $i > $i ).
tff(field,type,
field: $i > $i ).
tff(inl,type,
inl: $i > $i ).
tff(union,type,
union: $i > $i ).
tff(qInr,type,
qInr: $i > $i ).
tff(disjsum,type,
disjsum: ( $i * $i ) > $i ).
tff(range,type,
range: $i > $i ).
tff(le,type,
le: ( $i * $i ) > $o ).
tff(un,type,
un: ( $i * $i ) > $i ).
tff(compE_sk2,type,
compE_sk2: ( $i * $i * $i ) > $i ).
tff(int,type,
int: ( $i * $i ) > $i ).
tff(ap_parcontractE_sk2q,type,
ap_parcontractE_sk2q: ( $i * $i * $i ) > $i ).
tff(domainE_sk1,type,
domainE_sk1: ( $i * $i ) > $i ).
tff(pow,type,
pow: $i > $i ).
tff(r,type,
r: $i ).
tff(powI_sk1,type,
powI_sk1: ( $i * $i ) > $i ).
tff(memrel,type,
memrel: $i > $i ).
tff(vimage,type,
vimage: ( $i * $i ) > $i ).
tff(imageE_sk1,type,
imageE_sk1: ( $i * $i * $i ) > $i ).
tff(comp,type,
comp: ( $i * $i ) > $i ).
tff(cons_subsetI_sk1,type,
cons_subsetI_sk1: ( $i * $i * $i ) > $i ).
tff(card,type,
card: $i > $o ).
tff(sumE_sk2,type,
sumE_sk2: ( $i * $i * $i ) > $i ).
tff(comb_app,type,
comb_app: ( $i * $i ) > $i ).
tff(domain,type,
domain: $i > $i ).
tff(diff,type,
diff: ( $i * $i ) > $i ).
tff(ord,type,
ord: $i > $o ).
tff(qconverseE_sk2,type,
qconverseE_sk2: ( $i * $i ) > $i ).
tff(ap_contractE_sk1q,type,
ap_contractE_sk1q: ( $i * $i * $i ) > $i ).
tff(fieldE_sk1,type,
fieldE_sk1: ( $i * $i ) > $i ).
tff(ap_contractE_sk2q,type,
ap_contractE_sk2q: ( $i * $i * $i ) > $i ).
tff(qsum,type,
qsum: ( $i * $i ) > $i ).
tff(nat,type,
nat: $i ).
tff(converse,type,
converse: $i > $i ).
tff(rmultE_c1,type,
rmultE_c1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(rtrancl,type,
rtrancl: $i > $i ).
tff(qPair,type,
qPair: ( $i * $i ) > $i ).
tff(ap_contractE_sk3q,type,
ap_contractE_sk3q: ( $i * $i * $i ) > $i ).
tff(fieldE_sk2,type,
fieldE_sk2: ( $i * $i ) > $i ).
tff(combS,type,
combS: $i ).
tff(card_Union_sk1,type,
card_Union_sk1: $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(converseE_sk1,type,
converseE_sk1: ( $i * $i ) > $i ).
tff(parcontract,type,
parcontract: $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff(compE_sk3,type,
compE_sk3: ( $i * $i * $i ) > $i ).
tff(inr,type,
inr: $i > $i ).
tff(ap_contractE_c3,type,
ap_contractE_c3: ( $i * $i * $i ) > $o ).
tff(ap_contractE_c4,type,
ap_contractE_c4: ( $i * $i * $i ) > $o ).
tff(ap_parcontractE_c3,type,
ap_parcontractE_c3: ( $i * $i * $i ) > $o ).
tff(ap_parcontractE_c2,type,
ap_parcontractE_c2: ( $i * $i * $i ) > $o ).
tff(subsetD_sk1,type,
subsetD_sk1: ( $i * $i * $i ) > $i ).
tff(pair,type,
pair: ( $i * $i ) > $i ).
tff(qconverse,type,
qconverse: $i > $i ).
tff(ap_parcontractE_c1,type,
ap_parcontractE_c1: ( $i * $i * $i ) > $o ).
tff(vimageE_sk1,type,
vimageE_sk1: ( $i * $i * $i ) > $i ).
tff(contract,type,
contract: $i ).
tff(ap_contractE_c2,type,
ap_contractE_c2: ( $i * $i * $i ) > $o ).
tff(idE_sk1,type,
idE_sk1: ( $i * $i ) > $i ).
tff(compE_sk1,type,
compE_sk1: ( $i * $i * $i ) > $i ).
tff(image,type,
image: ( $i * $i ) > $i ).
tff(inter,type,
inter: $i > $i ).
tff(cons_subsetE_sk1,type,
cons_subsetE_sk1: ( $i * $i * $i ) > $i ).
tff(ap_parcontractE_c4,type,
ap_parcontractE_c4: ( $i * $i * $i ) > $o ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(rmult,type,
rmult: ( $i * $i * $i * $i ) > $i ).
tff(qsumE_sk1,type,
qsumE_sk1: ( $i * $i * $i ) > $i ).
tff(radd,type,
radd: ( $i * $i * $i * $i ) > $i ).
tff(rangeE_sk1,type,
rangeE_sk1: ( $i * $i ) > $i ).
tff(qInl,type,
qInl: $i > $i ).
tff(converseE_sk2,type,
converseE_sk2: ( $i * $i ) > $i ).
tff(eptset,type,
eptset: $i ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff(unionE_sk1,type,
unionE_sk1: ( $i * $i ) > $i ).
tff(subsetI_sk1,type,
subsetI_sk1: ( $i * $i ) > $i ).
tff(combK,type,
combK: $i ).
tff(qconverseE_sk1,type,
qconverseE_sk1: ( $i * $i ) > $i ).
tff(interI_sk1,type,
interI_sk1: ( $i * $i ) > $i ).
tff(order_Inter_sk1,type,
order_Inter_sk1: $i > $i ).
tff(ap_parcontractE_sk1q,type,
ap_parcontractE_sk1q: ( $i * $i * $i ) > $i ).
tff(p,type,
p: $i ).
tff(ap_parcontractE_sk2s,type,
ap_parcontractE_sk2s: ( $i * $i * $i ) > $i ).
tff(qsumE_sk2,type,
qsumE_sk2: ( $i * $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff(ap_contractE_sk1p,type,
ap_contractE_sk1p: ( $i * $i * $i ) > $i ).
tff(comb,type,
comb: $i ).
tff(rmultE_c2,type,
rmultE_c2: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(sumE_sk1,type,
sumE_sk1: ( $i * $i * $i ) > $i ).
tff(ap_contractE_c1,type,
ap_contractE_c1: ( $i * $i * $i ) > $o ).
tff(f_899,axiom,
! [P,Q] : ( combS != comb_app(P,Q) ),
file(unknown,unknown) ).
tff(f_1063,axiom,
! [P] :
( ~ member(P,comb)
| member(pair(P,P),parcontract) ),
file(unknown,unknown) ).
tff(f_1196,axiom,
! [PP] :
( ( r != comb_app(combS,PP) )
| ~ member(pair(p,PP),parcontract) ),
file(unknown,unknown) ).
tff(f_1174,axiom,
! [P,Q,R] :
( ~ ap_parcontractE_c3(P,Q,R)
| ( P = comb_app(comb_app(combS,ap_parcontractE_sk1p(P,Q,R)),ap_parcontractE_sk1q(P,Q,R)) ) ),
file(unknown,unknown) ).
tff(f_1190,axiom,
member(pair(comb_app(combS,p),r),parcontract),
file(unknown,unknown) ).
tff(f_1124,axiom,
! [P,Q,R] :
( ~ member(pair(comb_app(P,Q),R),parcontract)
| ap_parcontractE_c1(P,Q,R)
| ap_parcontractE_c2(P,Q,R)
| ap_parcontractE_c3(P,Q,R)
| ap_parcontractE_c4(P,Q,R) ),
file(unknown,unknown) ).
tff(f_1134,axiom,
! [P,Q,R] :
( ~ ap_parcontractE_c1(P,Q,R)
| ( R = comb_app(P,Q) ) ),
file(unknown,unknown) ).
tff(f_928,axiom,
! [P,Q] :
( ~ member(comb_app(P,Q),comb)
| member(Q,comb) ),
file(unknown,unknown) ).
tff(f_1129,axiom,
! [P,Q,R] :
( ~ ap_parcontractE_c1(P,Q,R)
| member(comb_app(P,Q),comb) ),
file(unknown,unknown) ).
tff(f_1179,axiom,
! [P,Q,R] :
( ~ ap_parcontractE_c4(P,Q,R)
| member(pair(P,ap_parcontractE_sk2q(P,Q,R)),parcontract) ),
file(unknown,unknown) ).
tff(f_1112,axiom,
! [R] :
( ~ member(pair(combS,R),parcontract)
| ( R = combS ) ),
file(unknown,unknown) ).
tff(f_1189,axiom,
! [P,Q,R] :
( ~ ap_parcontractE_c4(P,Q,R)
| ( R = comb_app(ap_parcontractE_sk2q(P,Q,R),ap_parcontractE_sk2s(P,Q,R)) ) ),
file(unknown,unknown) ).
tff(f_1184,axiom,
! [P,Q,R] :
( ~ ap_parcontractE_c4(P,Q,R)
| member(pair(Q,ap_parcontractE_sk2s(P,Q,R)),parcontract) ),
file(unknown,unknown) ).
tff(f_1149,axiom,
! [P,Q,R] :
( ~ ap_parcontractE_c2(P,Q,R)
| ( P = comb_app(combK,R) ) ),
file(unknown,unknown) ).
tff(c_293,plain,
! [P_450,Q_451] : ( comb_app(P_450,Q_451) != combS ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_352,plain,
! [P_523] :
( member(pair(P_523,P_523),parcontract)
| ~ member(P_523,comb) ),
inference(cnfTransformation,[status(thm)],[f_1063]) ).
tff(c_978,plain,
! [PP_760] :
( ~ member(pair(p,PP_760),parcontract)
| ( comb_app(combS,PP_760) != r ) ),
inference(cnfTransformation,[status(thm)],[f_1196]) ).
tff(c_983,plain,
( ( comb_app(combS,p) != r )
| ~ member(p,comb) ),
inference(resolution,[status(thm)],[c_352,c_978]) ).
tff(c_991,plain,
~ member(p,comb),
inference(splitLeft,[status(thm)],[c_983]) ).
tff(c_10828,plain,
! [P_1324,Q_1325,R_1326] :
( ( comb_app(comb_app(combS,ap_parcontractE_sk1p(P_1324,Q_1325,R_1326)),ap_parcontractE_sk1q(P_1324,Q_1325,R_1326)) = P_1324 )
| ~ ap_parcontractE_c3(P_1324,Q_1325,R_1326) ),
inference(cnfTransformation,[status(thm)],[f_1174]) ).
tff(c_10864,plain,
! [Q_1325,R_1326] : ~ ap_parcontractE_c3(combS,Q_1325,R_1326),
inference(superposition,[status(thm),theory(equality)],[c_10828,c_293]) ).
tff(c_396,plain,
member(pair(comb_app(combS,p),r),parcontract),
inference(cnfTransformation,[status(thm)],[f_1190]) ).
tff(c_14911,plain,
! [P_1464,Q_1465,R_1466] :
( ap_parcontractE_c4(P_1464,Q_1465,R_1466)
| ap_parcontractE_c3(P_1464,Q_1465,R_1466)
| ap_parcontractE_c2(P_1464,Q_1465,R_1466)
| ap_parcontractE_c1(P_1464,Q_1465,R_1466)
| ~ member(pair(comb_app(P_1464,Q_1465),R_1466),parcontract) ),
inference(cnfTransformation,[status(thm)],[f_1124]) ).
tff(c_14964,plain,
( ap_parcontractE_c4(combS,p,r)
| ap_parcontractE_c3(combS,p,r)
| ap_parcontractE_c2(combS,p,r)
| ap_parcontractE_c1(combS,p,r) ),
inference(resolution,[status(thm)],[c_396,c_14911]) ).
tff(c_14975,plain,
( ap_parcontractE_c4(combS,p,r)
| ap_parcontractE_c2(combS,p,r)
| ap_parcontractE_c1(combS,p,r) ),
inference(negUnitSimplification,[status(thm)],[c_10864,c_14964]) ).
tff(c_99286,plain,
ap_parcontractE_c1(combS,p,r),
inference(splitLeft,[status(thm)],[c_14975]) ).
tff(c_372,plain,
! [P_543,Q_544,R_545] :
( ( comb_app(P_543,Q_544) = R_545 )
| ~ ap_parcontractE_c1(P_543,Q_544,R_545) ),
inference(cnfTransformation,[status(thm)],[f_1134]) ).
tff(c_99293,plain,
comb_app(combS,p) = r,
inference(resolution,[status(thm)],[c_99286,c_372]) ).
tff(c_304,plain,
! [Q_467,P_466] :
( member(Q_467,comb)
| ~ member(comb_app(P_466,Q_467),comb) ),
inference(cnfTransformation,[status(thm)],[f_928]) ).
tff(c_99383,plain,
( member(p,comb)
| ~ member(r,comb) ),
inference(superposition,[status(thm),theory(equality)],[c_99293,c_304]) ).
tff(c_99409,plain,
~ member(r,comb),
inference(negUnitSimplification,[status(thm)],[c_991,c_99383]) ).
tff(c_370,plain,
! [P_540,Q_541,R_542] :
( member(comb_app(P_540,Q_541),comb)
| ~ ap_parcontractE_c1(P_540,Q_541,R_542) ),
inference(cnfTransformation,[status(thm)],[f_1129]) ).
tff(c_99292,plain,
member(comb_app(combS,p),comb),
inference(resolution,[status(thm)],[c_99286,c_370]) ).
tff(c_99499,plain,
member(r,comb),
inference(demodulation,[status(thm),theory(equality)],[c_99293,c_99292]) ).
tff(c_99500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99409,c_99499]) ).
tff(c_99501,plain,
( ap_parcontractE_c2(combS,p,r)
| ap_parcontractE_c4(combS,p,r) ),
inference(splitRight,[status(thm)],[c_14975]) ).
tff(c_99503,plain,
ap_parcontractE_c4(combS,p,r),
inference(splitLeft,[status(thm)],[c_99501]) ).
tff(c_6728,plain,
! [P_1083,Q_1084,R_1085] :
( member(pair(P_1083,ap_parcontractE_sk2q(P_1083,Q_1084,R_1085)),parcontract)
| ~ ap_parcontractE_c4(P_1083,Q_1084,R_1085) ),
inference(cnfTransformation,[status(thm)],[f_1179]) ).
tff(c_366,plain,
! [R_536] :
( ( combS = R_536 )
| ~ member(pair(combS,R_536),parcontract) ),
inference(cnfTransformation,[status(thm)],[f_1112]) ).
tff(c_6767,plain,
! [Q_1084,R_1085] :
( ( ap_parcontractE_sk2q(combS,Q_1084,R_1085) = combS )
| ~ ap_parcontractE_c4(combS,Q_1084,R_1085) ),
inference(resolution,[status(thm)],[c_6728,c_366]) ).
tff(c_99534,plain,
ap_parcontractE_sk2q(combS,p,r) = combS,
inference(resolution,[status(thm)],[c_99503,c_6767]) ).
tff(c_394,plain,
! [P_576,Q_577,R_578] :
( ( comb_app(ap_parcontractE_sk2q(P_576,Q_577,R_578),ap_parcontractE_sk2s(P_576,Q_577,R_578)) = R_578 )
| ~ ap_parcontractE_c4(P_576,Q_577,R_578) ),
inference(cnfTransformation,[status(thm)],[f_1189]) ).
tff(c_99628,plain,
( ( comb_app(combS,ap_parcontractE_sk2s(combS,p,r)) = r )
| ~ ap_parcontractE_c4(combS,p,r) ),
inference(superposition,[status(thm),theory(equality)],[c_99534,c_394]) ).
tff(c_99637,plain,
comb_app(combS,ap_parcontractE_sk2s(combS,p,r)) = r,
inference(demodulation,[status(thm),theory(equality)],[c_99503,c_99628]) ).
tff(c_6971,plain,
! [Q_1101,P_1102,R_1103] :
( member(pair(Q_1101,ap_parcontractE_sk2s(P_1102,Q_1101,R_1103)),parcontract)
| ~ ap_parcontractE_c4(P_1102,Q_1101,R_1103) ),
inference(cnfTransformation,[status(thm)],[f_1184]) ).
tff(c_398,plain,
! [PP_579] :
( ~ member(pair(p,PP_579),parcontract)
| ( comb_app(combS,PP_579) != r ) ),
inference(cnfTransformation,[status(thm)],[f_1196]) ).
tff(c_7007,plain,
! [P_1102,R_1103] :
( ( comb_app(combS,ap_parcontractE_sk2s(P_1102,p,R_1103)) != r )
| ~ ap_parcontractE_c4(P_1102,p,R_1103) ),
inference(resolution,[status(thm)],[c_6971,c_398]) ).
tff(c_100471,plain,
~ ap_parcontractE_c4(combS,p,r),
inference(superposition,[status(thm),theory(equality)],[c_99637,c_7007]) ).
tff(c_100542,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_99503,c_100471]) ).
tff(c_100543,plain,
ap_parcontractE_c2(combS,p,r),
inference(splitRight,[status(thm)],[c_99501]) ).
tff(c_378,plain,
! [R_554,P_552,Q_553] :
( ( comb_app(combK,R_554) = P_552 )
| ~ ap_parcontractE_c2(P_552,Q_553,R_554) ),
inference(cnfTransformation,[status(thm)],[f_1149]) ).
tff(c_100547,plain,
comb_app(combK,r) = combS,
inference(resolution,[status(thm)],[c_100543,c_378]) ).
tff(c_100557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_293,c_100547]) ).
tff(c_100558,plain,
comb_app(combS,p) != r,
inference(splitRight,[status(thm)],[c_983]) ).
tff(c_109817,plain,
! [P_3421,Q_3422,R_3423] :
( ( comb_app(comb_app(combS,ap_parcontractE_sk1p(P_3421,Q_3422,R_3423)),ap_parcontractE_sk1q(P_3421,Q_3422,R_3423)) = P_3421 )
| ~ ap_parcontractE_c3(P_3421,Q_3422,R_3423) ),
inference(cnfTransformation,[status(thm)],[f_1174]) ).
tff(c_109853,plain,
! [Q_3422,R_3423] : ~ ap_parcontractE_c3(combS,Q_3422,R_3423),
inference(superposition,[status(thm),theory(equality)],[c_109817,c_293]) ).
tff(c_114219,plain,
! [P_3518,Q_3519,R_3520] :
( ap_parcontractE_c4(P_3518,Q_3519,R_3520)
| ap_parcontractE_c3(P_3518,Q_3519,R_3520)
| ap_parcontractE_c2(P_3518,Q_3519,R_3520)
| ap_parcontractE_c1(P_3518,Q_3519,R_3520)
| ~ member(pair(comb_app(P_3518,Q_3519),R_3520),parcontract) ),
inference(cnfTransformation,[status(thm)],[f_1124]) ).
tff(c_114272,plain,
( ap_parcontractE_c4(combS,p,r)
| ap_parcontractE_c3(combS,p,r)
| ap_parcontractE_c2(combS,p,r)
| ap_parcontractE_c1(combS,p,r) ),
inference(resolution,[status(thm)],[c_396,c_114219]) ).
tff(c_114283,plain,
( ap_parcontractE_c4(combS,p,r)
| ap_parcontractE_c2(combS,p,r)
| ap_parcontractE_c1(combS,p,r) ),
inference(negUnitSimplification,[status(thm)],[c_109853,c_114272]) ).
tff(c_162220,plain,
ap_parcontractE_c1(combS,p,r),
inference(splitLeft,[status(thm)],[c_114283]) ).
tff(c_162225,plain,
comb_app(combS,p) = r,
inference(resolution,[status(thm)],[c_162220,c_372]) ).
tff(c_162230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100558,c_162225]) ).
tff(c_162231,plain,
( ap_parcontractE_c2(combS,p,r)
| ap_parcontractE_c4(combS,p,r) ),
inference(splitRight,[status(thm)],[c_114283]) ).
tff(c_162233,plain,
ap_parcontractE_c4(combS,p,r),
inference(splitLeft,[status(thm)],[c_162231]) ).
tff(c_105135,plain,
! [P_3226,Q_3227,R_3228] :
( member(pair(P_3226,ap_parcontractE_sk2q(P_3226,Q_3227,R_3228)),parcontract)
| ~ ap_parcontractE_c4(P_3226,Q_3227,R_3228) ),
inference(cnfTransformation,[status(thm)],[f_1179]) ).
tff(c_105170,plain,
! [Q_3227,R_3228] :
( ( ap_parcontractE_sk2q(combS,Q_3227,R_3228) = combS )
| ~ ap_parcontractE_c4(combS,Q_3227,R_3228) ),
inference(resolution,[status(thm)],[c_105135,c_366]) ).
tff(c_162257,plain,
ap_parcontractE_sk2q(combS,p,r) = combS,
inference(resolution,[status(thm)],[c_162233,c_105170]) ).
tff(c_162298,plain,
( ( comb_app(combS,ap_parcontractE_sk2s(combS,p,r)) = r )
| ~ ap_parcontractE_c4(combS,p,r) ),
inference(superposition,[status(thm),theory(equality)],[c_162257,c_394]) ).
tff(c_162307,plain,
comb_app(combS,ap_parcontractE_sk2s(combS,p,r)) = r,
inference(demodulation,[status(thm),theory(equality)],[c_162233,c_162298]) ).
tff(c_104251,plain,
! [Q_3136,P_3137,R_3138] :
( member(pair(Q_3136,ap_parcontractE_sk2s(P_3137,Q_3136,R_3138)),parcontract)
| ~ ap_parcontractE_c4(P_3137,Q_3136,R_3138) ),
inference(cnfTransformation,[status(thm)],[f_1184]) ).
tff(c_104280,plain,
! [P_3137,R_3138] :
( ( comb_app(combS,ap_parcontractE_sk2s(P_3137,p,R_3138)) != r )
| ~ ap_parcontractE_c4(P_3137,p,R_3138) ),
inference(resolution,[status(thm)],[c_104251,c_398]) ).
tff(c_162653,plain,
~ ap_parcontractE_c4(combS,p,r),
inference(superposition,[status(thm),theory(equality)],[c_162307,c_104280]) ).
tff(c_162724,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_162233,c_162653]) ).
tff(c_162725,plain,
ap_parcontractE_c2(combS,p,r),
inference(splitRight,[status(thm)],[c_162231]) ).
tff(c_162729,plain,
comb_app(combK,r) = combS,
inference(resolution,[status(thm)],[c_162725,c_378]) ).
tff(c_162739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_293,c_162729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COL093-2 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 18:13:51 EDT 2023
% 0.15/0.35 % CPUTime :
% 57.60/41.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.60/41.21
% 57.60/41.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 57.60/41.25
% 57.60/41.25 Inference rules
% 57.60/41.25 ----------------------
% 57.60/41.25 #Ref : 23
% 57.60/41.25 #Sup : 38982
% 57.60/41.25 #Fact : 0
% 57.60/41.25 #Define : 0
% 57.60/41.25 #Split : 32
% 57.60/41.25 #Chain : 0
% 57.60/41.25 #Close : 0
% 57.60/41.25
% 57.60/41.25 Ordering : KBO
% 57.60/41.25
% 57.60/41.25 Simplification rules
% 57.60/41.25 ----------------------
% 57.60/41.25 #Subsume : 3084
% 57.60/41.25 #Demod : 10143
% 57.60/41.25 #Tautology : 7453
% 57.60/41.25 #SimpNegUnit : 448
% 57.60/41.25 #BackRed : 260
% 57.60/41.25
% 57.60/41.25 #Partial instantiations: 0
% 57.60/41.25 #Strategies tried : 1
% 57.60/41.25
% 57.60/41.25 Timing (in seconds)
% 57.60/41.25 ----------------------
% 57.60/41.25 Preprocessing : 0.85
% 57.60/41.25 Parsing : 0.45
% 57.60/41.25 CNF conversion : 0.07
% 57.60/41.25 Main loop : 39.33
% 57.60/41.25 Inferencing : 5.57
% 57.60/41.25 Reduction : 19.45
% 57.60/41.25 Demodulation : 16.05
% 57.60/41.25 BG Simplification : 0.27
% 57.60/41.25 Subsumption : 11.14
% 57.60/41.25 Abstraction : 0.35
% 57.60/41.25 MUC search : 0.00
% 57.60/41.25 Cooper : 0.00
% 57.60/41.25 Total : 40.25
% 57.60/41.25 Index Insertion : 0.00
% 57.60/41.25 Index Deletion : 0.00
% 57.60/41.25 Index Matching : 0.00
% 57.60/41.25 BG Taut test : 0.00
%------------------------------------------------------------------------------