TSTP Solution File: SWW277+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW277+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n027.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 18:31:51 EDT 2024
% Result : Theorem 1.70s 0.69s
% Output : Refutation 1.70s
% 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(f6103,plain,
$false,
inference(avatar_sat_refutation,[],[f5999,f6011,f6102]) ).
fof(f6102,plain,
~ spl35_14,
inference(avatar_contradiction_clause,[],[f6101]) ).
fof(f6101,plain,
( $false
| ~ spl35_14 ),
inference(subsumption_resolution,[],[f6100,f4019]) ).
fof(f4019,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_s____)),
inference(cnf_transformation,[],[f5]) ).
fof(f5,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_s____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6100,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_s____))
| ~ spl35_14 ),
inference(equality_resolution,[],[f5998]) ).
fof(f5998,plain,
( ! [X0] :
( v_s____ != 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)) )
| ~ spl35_14 ),
inference(avatar_component_clause,[],[f5997]) ).
fof(f5997,plain,
( spl35_14
<=> ! [X0] :
( v_s____ != 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,[spl35_14])]) ).
fof(f6011,plain,
spl35_13,
inference(avatar_contradiction_clause,[],[f6010]) ).
fof(f6010,plain,
( $false
| spl35_13 ),
inference(subsumption_resolution,[],[f6009,f3860]) ).
fof(f3860,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1140]) ).
fof(f1140,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6009,plain,
( ~ class_Fields_Ofield(tc_Complex_Ocomplex)
| spl35_13 ),
inference(resolution,[],[f5995,f4084]) ).
fof(f4084,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(cnf_transformation,[],[f2261]) ).
fof(f2261,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(ennf_transformation,[],[f1268]) ).
fof(f1268,plain,
! [X0] :
( class_Fields_Ofield(X0)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
inference(rectify,[],[f1177]) ).
fof(f1177,axiom,
! [X90] :
( class_Fields_Ofield(X90)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X90)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5995,plain,
( ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl35_13 ),
inference(avatar_component_clause,[],[f5993]) ).
fof(f5993,plain,
( spl35_13
<=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_13])]) ).
fof(f5999,plain,
( ~ spl35_13
| spl35_14 ),
inference(avatar_split_clause,[],[f5937,f5997,f5993]) ).
fof(f5937,plain,
! [X0] :
( v_s____ != 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,[],[f5916,f4841]) ).
fof(f4841,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,[],[f2806]) ).
fof(f2806,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,[],[f2805]) ).
fof(f2805,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,[],[f1806]) ).
fof(f1806,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,[],[f921]) ).
fof(f921,axiom,
! [X13,X11,X3] :
( class_Divides_Osemiring__div(X3)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X3),X11),X13))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X11),c_Divides_Odiv__class_Odiv(X3,X13,X11)) = X13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5916,plain,
! [X0] : v_s____ != 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,[],[f3855,f3854]) ).
fof(f3854,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3855,plain,
! [X0] :
( v_thesis____
| v_s____ != 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,[],[f2252]) ).
fof(f2252,plain,
( v_thesis____
| ! [X0] : v_s____ != 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_s____ = 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,
( ? [X93] : v_s____ = 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))))),X93)
=> v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW277+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n027.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 : Wed Jun 19 05:23:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.36 Running first-order theorem proving
% 0.20/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.48 % (25112)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.48 % (25113)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.23/0.49 % (25112)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49 % (25114)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)
% 0.23/0.49 % (25112)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49 % (25115)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)
% 0.23/0.49 % (25112)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49 % (25117)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.23/0.49 % (25112)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49 % (25116)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.23/0.49 % (25112)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49 % (25119)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)
% 0.23/0.50 % (25117)Refutation not found, incomplete strategy% (25117)------------------------------
% 0.23/0.50 % (25117)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50 % (25117)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50 % (25117)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.50
% 0.23/0.50 % (25117)Memory used [KB]: 2074
% 0.23/0.50 % (25117)Time elapsed: 0.013 s
% 0.23/0.50 % (25117)Instructions burned: 18 (million)
% 0.23/0.50 % (25117)------------------------------
% 0.23/0.50 % (25117)------------------------------
% 0.23/0.51 % (25112)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51 % (25118)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 1.03/0.56 % (25112)Running in auto input_syntax mode. Trying TPTP
% 1.03/0.56 % (25120)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)
% 1.16/0.61 % (25120)Instruction limit reached!
% 1.16/0.61 % (25120)------------------------------
% 1.16/0.61 % (25120)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.16/0.61 % (25120)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.16/0.61 % (25120)Termination reason: Time limit
% 1.16/0.61 % (25120)Termination phase: Saturation
% 1.16/0.61
% 1.16/0.61 % (25120)Memory used [KB]: 3738
% 1.16/0.61 % (25120)Time elapsed: 0.049 s
% 1.16/0.61 % (25120)Instructions burned: 127 (million)
% 1.16/0.62 % (25119)Instruction limit reached!
% 1.16/0.62 % (25119)------------------------------
% 1.16/0.62 % (25119)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.16/0.62 % (25119)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.16/0.62 % (25119)Termination reason: Time limit
% 1.16/0.62 % (25119)Termination phase: Saturation
% 1.16/0.62
% 1.16/0.62 % (25119)Memory used [KB]: 5333
% 1.16/0.62 % (25119)Time elapsed: 0.135 s
% 1.16/0.62 % (25119)Instructions burned: 283 (million)
% 1.58/0.65 % (25112)Running in auto input_syntax mode. Trying TPTP
% 1.58/0.65 % (25121)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.70/0.66 % (25118)Instruction limit reached!
% 1.70/0.66 % (25118)------------------------------
% 1.70/0.66 % (25118)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.70/0.66 % (25118)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.70/0.66 % (25118)Termination reason: Time limit
% 1.70/0.66 % (25118)Termination phase: Saturation
% 1.70/0.66
% 1.70/0.66 % (25118)Memory used [KB]: 5583
% 1.70/0.66 % (25118)Time elapsed: 0.155 s
% 1.70/0.66 % (25118)Instructions burned: 347 (million)
% 1.70/0.66 % (25112)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.66 % (25122)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)
% 1.70/0.68 % (25121)First to succeed.
% 1.70/0.68 % (25121)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25112"
% 1.70/0.69 % (25112)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.69 % (25121)Refutation found. Thanks to Tanya!
% 1.70/0.69 % SZS status Theorem for theBenchmark
% 1.70/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.69 % (25121)------------------------------
% 1.70/0.69 % (25121)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.70/0.69 % (25121)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.70/0.69 % (25121)Termination reason: Refutation
% 1.70/0.69
% 1.70/0.69 % (25121)Memory used [KB]: 4655
% 1.70/0.69 % (25121)Time elapsed: 0.040 s
% 1.70/0.69 % (25121)Instructions burned: 131 (million)
% 1.70/0.69 % (25121)------------------------------
% 1.70/0.69 % (25121)------------------------------
% 1.70/0.69 % (25112)Success in time 0.264 s
%------------------------------------------------------------------------------