TSTP Solution File: SWW277+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW277+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 11:35:39 EDT 2024
% Result : Theorem 202.24s 29.32s
% Output : Refutation 202.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 16 unt; 0 def)
% Number of atoms : 49 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 11 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 25 ( 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160584,plain,
$false,
inference(subsumption_resolution,[],[f160583,f3922]) ).
fof(f3922,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',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(f160583,plain,
~ class_Fields_Ofield(tc_Complex_Ocomplex),
inference(resolution,[],[f160545,f4146]) ).
fof(f4146,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',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(f160545,plain,
~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(subsumption_resolution,[],[f160502,f151201]) ).
fof(f151201,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_x____),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(forward_demodulation,[],[f5822,f4062]) ).
fof(f4062,plain,
v_x____ = v_a____,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
v_x____ = v_a____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xa) ).
fof(f5822,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(global_subsumption,[],[f3916,f3917]) ).
fof(f3917,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',conj_0) ).
fof(f3916,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',conj_1) ).
fof(f160502,plain,
( 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_x____),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))))),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_s____,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_x____),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))))))
| ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(resolution,[],[f4915,f138950]) ).
fof(f138950,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_x____),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(forward_demodulation,[],[f4081,f4062]) ).
fof(f4081,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',fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096) ).
fof(f4915,plain,
! [X2,X0,X1] :
( ~ 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
| ~ 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',fact_dvd__mult__div__cancel) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWW277+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 19:27:07 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (1930)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)
% 0.16/0.40 % (1926)WARNING: value z3 for option sas not known
% 0.16/0.40 % (1925)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40 % (1928)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)
% 0.16/0.40 % (1927)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40 % (1929)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)
% 0.16/0.41 % (1926)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)
% 0.16/0.41 % (1924)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 2.78/0.79 TRYING [1]
% 3.12/0.84 TRYING [2]
% 9.18/1.69 TRYING [3]
% 10.10/1.82 TRYING [1]
% 10.10/1.83 TRYING [1]
% 10.36/1.87 TRYING [2]
% 11.25/2.01 TRYING [2]
% 15.92/2.67 TRYING [3]
% 31.23/4.84 TRYING [3]
% 32.18/5.03 TRYING [4]
% 37.59/5.79 TRYING [4]
% 88.26/12.97 TRYING [4]
% 93.72/13.80 TRYING [5]
% 104.37/15.29 TRYING [5]
% 201.91/29.25 % (1926)First to succeed.
% 201.91/29.25 % (1926)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1923"
% 202.24/29.32 % (1926)Refutation found. Thanks to Tanya!
% 202.24/29.32 % SZS status Theorem for theBenchmark
% 202.24/29.32 % SZS output start Proof for theBenchmark
% See solution above
% 202.24/29.32 % (1926)------------------------------
% 202.24/29.32 % (1926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 202.24/29.32 % (1926)Termination reason: Refutation
% 202.24/29.32
% 202.24/29.32 % (1926)Memory used [KB]: 553320
% 202.24/29.32 % (1926)Time elapsed: 28.842 s
% 202.24/29.32 % (1926)Instructions burned: 53495 (million)
% 202.24/29.32 % (1923)Success in time 28.803 s
%------------------------------------------------------------------------------