TSTP Solution File: SWW185+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW185+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 18:31:29 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 76 ( 42 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 30 ~; 24 |; 0 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3543,plain,
$false,
inference(avatar_sat_refutation,[],[f3285,f3441,f3542]) ).
fof(f3542,plain,
~ spl23_2,
inference(avatar_contradiction_clause,[],[f3541]) ).
fof(f3541,plain,
( $false
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f3540,f2360]) ).
fof(f2360,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f1184]) ).
fof(f1184,axiom,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3540,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f3531,f3442]) ).
fof(f3442,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ spl23_2 ),
inference(backward_demodulation,[],[f2359,f3284]) ).
fof(f3284,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f3282]) ).
fof(f3282,plain,
( spl23_2
<=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f2359,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
inference(cnf_transformation,[],[f1185]) ).
fof(f1185,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
inference(flattening,[],[f1183]) ).
fof(f1183,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
inference(negated_conjecture,[],[f1182]) ).
fof(f1182,conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,v_a,v_p),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3531,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ class_Rings_Ocomm__semiring__0(t_a)
| ~ spl23_2 ),
inference(superposition,[],[f2522,f3443]) ).
fof(f3443,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),v_h)
| ~ spl23_2 ),
inference(backward_demodulation,[],[f2361,f3284]) ).
fof(f2361,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h),
inference(cnf_transformation,[],[f1181]) ).
fof(f1181,axiom,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2522,plain,
! [X2,X0,X1] :
( c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f1841]) ).
fof(f1841,plain,
! [X0,X1,X2] :
( c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f1295]) ).
fof(f1295,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X5,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> c_Polynomial_OpCons(X4,X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,c_Polynomial_OpCons(X4,X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3441,plain,
spl23_1,
inference(avatar_split_clause,[],[f3440,f3278]) ).
fof(f3278,plain,
( spl23_1
<=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f3440,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(subsumption_resolution,[],[f3381,f2360]) ).
fof(f3381,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(trivial_inequality_removal,[],[f3357]) ).
fof(f3357,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(superposition,[],[f2472,f3289]) ).
fof(f3289,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),
inference(subsumption_resolution,[],[f3286,f2360]) ).
fof(f3286,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(superposition,[],[f2361,f2520]) ).
fof(f2520,plain,
! [X2,X3,X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f1839]) ).
fof(f1839,plain,
! [X0,X1,X2,X3] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f1293]) ).
fof(f1293,plain,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0))) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X3,X24,X5,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,c_Polynomial_OpCons(X4,X5,X24),X3) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_Osmult(X4,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,X24,X3)),c_Polynomial_OpCons(X4,X5,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,X24,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2472,plain,
! [X2,X3,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f1796]) ).
fof(f1796,plain,
! [X0,X1,X2,X3] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(flattening,[],[f1795]) ).
fof(f1795,plain,
! [X0,X1,X2,X3] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f1253]) ).
fof(f1253,plain,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1 ) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X5,X24,X22,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_Osmult(X4,X22,X24),c_Polynomial_OpCons(X4,X5,X24))
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = X24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3285,plain,
( ~ spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f2362,f3282,f3278]) ).
fof(f2362,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(cnf_transformation,[],[f1748]) ).
fof(f1748,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(ennf_transformation,[],[f1180]) ).
fof(f1180,axiom,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW185+1 : TPTP v8.2.0. Released v5.2.0.
% 0.10/0.12 % 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 07:47:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 % (25181)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (25184)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 % (25181)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (25182)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 % (25181)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (25185)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 % (25181)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (25186)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 % (25181)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (25187)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 % (25181)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (25183)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 % (25181)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (25188)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)
% 0.22/0.48 % (25186)Refutation not found, incomplete strategy% (25186)------------------------------
% 0.22/0.48 % (25186)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (25186)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (25186)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48 % (25186)Memory used [KB]: 1917
% 0.22/0.48 % (25186)Time elapsed: 0.009 s
% 0.22/0.48 % (25186)Instructions burned: 9 (million)
% 0.22/0.48 % (25186)------------------------------
% 0.22/0.48 % (25186)------------------------------
% 0.22/0.52 % (25188)First to succeed.
% 0.22/0.52 % (25188)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25181"
% 0.22/0.52 % (25181)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (25188)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (25188)------------------------------
% 0.22/0.52 % (25188)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.52 % (25188)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.52 % (25188)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (25188)Memory used [KB]: 3411
% 0.22/0.52 % (25188)Time elapsed: 0.046 s
% 0.22/0.52 % (25188)Instructions burned: 91 (million)
% 0.22/0.52 % (25188)------------------------------
% 0.22/0.52 % (25188)------------------------------
% 0.22/0.52 % (25181)Success in time 0.11 s
%------------------------------------------------------------------------------