TSTP Solution File: SWW271+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW271+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n012.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 : Mon Jun 24 18:31:50 EDT 2024
% Result : Theorem 1.64s 0.67s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 66 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 29 ~; 21 |; 0 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6109,plain,
$false,
inference(avatar_sat_refutation,[],[f6006,f6018,f6108]) ).
fof(f6108,plain,
~ spl34_14,
inference(avatar_contradiction_clause,[],[f6107]) ).
fof(f6107,plain,
( $false
| ~ spl34_14 ),
inference(subsumption_resolution,[],[f6106,f4025]) ).
fof(f4025,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_qa____)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_qa____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6106,plain,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_qa____))
| ~ spl34_14 ),
inference(equality_resolution,[],[f6005]) ).
fof(f6005,plain,
( ! [X0] :
( v_qa____ != X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)) )
| ~ spl34_14 ),
inference(avatar_component_clause,[],[f6004]) ).
fof(f6004,plain,
( spl34_14
<=> ! [X0] :
( v_qa____ != X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).
fof(f6018,plain,
spl34_13,
inference(avatar_contradiction_clause,[],[f6017]) ).
fof(f6017,plain,
( $false
| spl34_13 ),
inference(subsumption_resolution,[],[f6016,f3871]) ).
fof(f3871,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1140]) ).
fof(f1140,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6016,plain,
( ~ class_Fields_Ofield(tc_Complex_Ocomplex)
| spl34_13 ),
inference(resolution,[],[f6002,f4083]) ).
fof(f4083,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(cnf_transformation,[],[f2266]) ).
fof(f2266,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(ennf_transformation,[],[f1266]) ).
fof(f1266,plain,
! [X0] :
( class_Fields_Ofield(X0)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
inference(rectify,[],[f1177]) ).
fof(f1177,axiom,
! [X88] :
( class_Fields_Ofield(X88)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X88)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6002,plain,
( ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl34_13 ),
inference(avatar_component_clause,[],[f6000]) ).
fof(f6000,plain,
( spl34_13
<=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_13])]) ).
fof(f6006,plain,
( ~ spl34_13
| spl34_14 ),
inference(avatar_split_clause,[],[f5944,f6004,f6000]) ).
fof(f5944,plain,
! [X0] :
( v_qa____ != X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0))
| ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[],[f5925,f4870]) ).
fof(f4870,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(cnf_transformation,[],[f2830]) ).
fof(f2830,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(flattening,[],[f2829]) ).
fof(f2829,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(ennf_transformation,[],[f1827]) ).
fof(f1827,plain,
! [X0,X1,X2] :
( class_Divides_Osemiring__div(X2)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0 ) ),
inference(rectify,[],[f910]) ).
fof(f910,axiom,
! [X12,X10,X3] :
( class_Divides_Osemiring__div(X3)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X3),X10),X12))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X10),c_Divides_Odiv__class_Odiv(X3,X12,X10)) = X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5925,plain,
! [X0] : v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0),
inference(subsumption_resolution,[],[f3866,f3865]) ).
fof(f3865,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1211]) ).
fof(f1211,plain,
~ v_thesis____,
inference(flattening,[],[f1210]) ).
fof(f1210,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[],[f1209]) ).
fof(f1209,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3866,plain,
! [X0] :
( v_thesis____
| v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) ),
inference(cnf_transformation,[],[f2261]) ).
fof(f2261,plain,
( v_thesis____
| ! [X0] : v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) ),
inference(ennf_transformation,[],[f1212]) ).
fof(f1212,plain,
( ? [X0] : v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)
=> v_thesis____ ),
inference(rectify,[],[f1208]) ).
fof(f1208,axiom,
( ? [X90] : v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X90)
=> v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW271+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 09:42:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 % (27850)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (27882)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.22/0.48 % (27850)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (27878)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.22/0.48 % (27850)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (27880)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.22/0.48 % (27850)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (27881)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.22/0.48 % (27850)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (27876)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.22/0.48 % (27850)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (27877)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.22/0.48 % (27850)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (27883)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.22/0.49 % (27881)Refutation not found, incomplete strategy% (27881)------------------------------
% 0.22/0.49 % (27881)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (27881)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (27881)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49 % (27881)Memory used [KB]: 2109
% 0.22/0.49 % (27881)Time elapsed: 0.013 s
% 0.22/0.49 % (27881)Instructions burned: 18 (million)
% 0.22/0.49 % (27881)------------------------------
% 0.22/0.49 % (27881)------------------------------
% 1.10/0.55 % (27850)Running in auto input_syntax mode. Trying TPTP
% 1.10/0.55 % (27913)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2999ds/125Mi)
% 1.10/0.60 % (27913)Instruction limit reached!
% 1.10/0.60 % (27913)------------------------------
% 1.10/0.60 % (27913)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.10/0.60 % (27913)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.10/0.60 % (27913)Termination reason: Time limit
% 1.10/0.60 % (27913)Termination phase: Saturation
% 1.10/0.60
% 1.10/0.60 % (27913)Memory used [KB]: 3729
% 1.10/0.60 % (27913)Time elapsed: 0.046 s
% 1.10/0.60 % (27913)Instructions burned: 125 (million)
% 1.10/0.61 % (27883)Instruction limit reached!
% 1.10/0.61 % (27883)------------------------------
% 1.10/0.61 % (27883)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.10/0.61 % (27883)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.10/0.61 % (27883)Termination reason: Time limit
% 1.10/0.61 % (27883)Termination phase: Saturation
% 1.10/0.61
% 1.10/0.61 % (27883)Memory used [KB]: 5365
% 1.10/0.61 % (27883)Time elapsed: 0.126 s
% 1.10/0.61 % (27883)Instructions burned: 283 (million)
% 1.10/0.62 % (27882)Instruction limit reached!
% 1.10/0.62 % (27882)------------------------------
% 1.10/0.62 % (27882)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.10/0.62 % (27882)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.10/0.62 % (27882)Termination reason: Time limit
% 1.10/0.62 % (27882)Termination phase: Saturation
% 1.10/0.62
% 1.10/0.62 % (27882)Memory used [KB]: 5531
% 1.10/0.62 % (27882)Time elapsed: 0.141 s
% 1.10/0.62 % (27882)Instructions burned: 346 (million)
% 1.10/0.63 % (27850)Running in auto input_syntax mode. Trying TPTP
% 1.10/0.63 % (27976)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.64/0.64 % (27850)Running in auto input_syntax mode. Trying TPTP
% 1.64/0.64 % (27981)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2998ds/325Mi)
% 1.64/0.65 % (27850)Running in auto input_syntax mode. Trying TPTP
% 1.64/0.65 % (27989)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2998ds/267Mi)
% 1.64/0.67 % (27976)First to succeed.
% 1.64/0.67 % (27976)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27850"
% 1.64/0.67 % (27850)Running in auto input_syntax mode. Trying TPTP
% 1.64/0.67 % (27976)Refutation found. Thanks to Tanya!
% 1.64/0.67 % SZS status Theorem for theBenchmark
% 1.64/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.67 % (27976)------------------------------
% 1.64/0.67 % (27976)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.64/0.67 % (27976)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.64/0.67 % (27976)Termination reason: Refutation
% 1.64/0.67
% 1.64/0.67 % (27976)Memory used [KB]: 4662
% 1.64/0.67 % (27976)Time elapsed: 0.040 s
% 1.64/0.67 % (27976)Instructions burned: 131 (million)
% 1.64/0.67 % (27976)------------------------------
% 1.64/0.67 % (27976)------------------------------
% 1.64/0.67 % (27850)Success in time 0.247 s
%------------------------------------------------------------------------------