TSTP Solution File: SWW246+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW246+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% 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 18:49:10 EDT 2024
% Result : Theorem 2.02s 0.80s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 63 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 30 ~; 23 |; 0 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 41 ( 39 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9027,plain,
$false,
inference(avatar_sat_refutation,[],[f5438,f5448,f9026]) ).
fof(f9026,plain,
( ~ spl20_2
| ~ spl20_3 ),
inference(avatar_contradiction_clause,[],[f9025]) ).
fof(f9025,plain,
( $false
| ~ spl20_2
| ~ spl20_3 ),
inference(subsumption_resolution,[],[f9024,f6653]) ).
fof(f6653,plain,
( ! [X0] : c_Groups_Ozero__class_Ozero(t_a) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0)
| ~ spl20_2 ),
inference(resolution,[],[f4746,f5431]) ).
fof(f5431,plain,
( class_Rings_Oidom(t_a)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f5430]) ).
fof(f5430,plain,
( spl20_2
<=> class_Rings_Oidom(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f4746,plain,
! [X2,X0] :
( ~ class_Rings_Oidom(X2)
| c_Groups_Ozero__class_Ozero(X2) = hAPP(c_Polynomial_Opoly(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0) ),
inference(equality_resolution,[],[f4192]) ).
fof(f4192,plain,
! [X2,X0,X1] :
( ~ class_Rings_Oidom(X2)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1
| c_Groups_Ozero__class_Ozero(X2) = hAPP(c_Polynomial_Opoly(X2,X1),X0) ),
inference(cnf_transformation,[],[f2942]) ).
fof(f2942,plain,
! [X0,X1,X2] :
( ( c_Groups_Ozero__class_Ozero(X2) = hAPP(c_Polynomial_Opoly(X2,X1),X0)
<=> ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Oorder(X2,X0,X1)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 ) )
| ~ class_Rings_Oidom(X2) ),
inference(ennf_transformation,[],[f1870]) ).
fof(f1870,plain,
! [X0,X1,X2] :
( class_Rings_Oidom(X2)
=> ( c_Groups_Ozero__class_Ozero(X2) = hAPP(c_Polynomial_Opoly(X2,X1),X0)
<=> ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Oorder(X2,X0,X1)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 ) ) ),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X10,X3,X4] :
( class_Rings_Oidom(X4)
=> ( c_Groups_Ozero__class_Ozero(X4) = hAPP(c_Polynomial_Opoly(X4,X3),X10)
<=> ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Polynomial_Oorder(X4,X10,X3)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9024,plain,
( c_Groups_Ozero__class_Ozero(t_a) != hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sK14(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))
| ~ spl20_2
| ~ spl20_3 ),
inference(forward_demodulation,[],[f9023,f6653]) ).
fof(f9023,plain,
( hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sK14(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))) != hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sK15(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))
| ~ spl20_3 ),
inference(resolution,[],[f5252,f5437]) ).
fof(f5437,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f5435]) ).
fof(f5435,plain,
( spl20_3
<=> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f5252,plain,
! [X2,X0,X1] :
( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0)
| hAPP(X0,sK14(X0)) != hAPP(X0,sK15(X0)) ),
inference(consistent_polarity_flipping,[],[f4357]) ).
fof(f4357,plain,
! [X2,X0,X1] :
( hAPP(X0,sK14(X0)) != hAPP(X0,sK15(X0))
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0) ),
inference(cnf_transformation,[],[f3119]) ).
fof(f3119,plain,
! [X0,X1,X2] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0)
| ? [X3,X4] : hAPP(X0,X3) != hAPP(X0,X4) ),
inference(ennf_transformation,[],[f2290]) ).
fof(f2290,plain,
! [X0,X1,X2] :
( ! [X3,X4] : hAPP(X0,X3) = hAPP(X0,X4)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0) ),
inference(unused_predicate_definition_removal,[],[f1995]) ).
fof(f1995,plain,
! [X0,X1,X2] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0)
<=> ! [X3,X4] : hAPP(X0,X3) = hAPP(X0,X4) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X14,X4] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4,X14,X1)
<=> ! [X2,X15] : hAPP(X1,X2) = hAPP(X1,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5448,plain,
spl20_2,
inference(avatar_split_clause,[],[f3377,f5430]) ).
fof(f3377,plain,
class_Rings_Oidom(t_a),
inference(cnf_transformation,[],[f1200]) ).
fof(f1200,axiom,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5438,plain,
( spl20_3
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f4873,f5430,f5435]) ).
fof(f4873,plain,
( ~ class_Rings_Oidom(t_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
inference(consistent_polarity_flipping,[],[f3485]) ).
fof(f3485,plain,
( ~ class_Rings_Oidom(t_a)
| ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
inference(cnf_transformation,[],[f2489]) ).
fof(f2489,plain,
( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))
| ~ class_Rings_Oidom(t_a) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
( class_Rings_Oidom(t_a)
=> ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW246+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 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 08:21:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.12/0.37 Running first-order model finding
% 0.12/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 % (14493)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (14499)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.22/0.51 % (14493)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (14500)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.22/0.51 % (14493)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (14495)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.22/0.51 % (14493)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (14496)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.22/0.51 % (14493)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (14494)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.22/0.51 % (14493)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (14497)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.22/0.51 % (14493)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (14498)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.93/0.57 % (14498)Instruction limit reached!
% 0.93/0.57 % (14498)------------------------------
% 0.93/0.57 % (14498)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.93/0.57 % (14498)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.93/0.57 % (14498)Termination reason: Time limit
% 0.93/0.57 % (14498)Termination phase: Saturation
% 0.93/0.57
% 0.93/0.57 % (14498)Memory used [KB]: 3747
% 0.93/0.57 % (14498)Time elapsed: 0.060 s
% 0.93/0.57 % (14498)Instructions burned: 104 (million)
% 0.93/0.57 % (14500)Instruction limit reached!
% 0.93/0.57 % (14500)------------------------------
% 0.93/0.57 % (14500)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.93/0.57 % (14500)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.93/0.57 % (14500)Termination reason: Time limit
% 0.93/0.57 % (14500)Termination phase: Saturation
% 0.93/0.57
% 0.93/0.57 % (14500)Memory used [KB]: 3936
% 0.93/0.57 % (14500)Time elapsed: 0.063 s
% 0.93/0.57 % (14500)Instructions burned: 115 (million)
% 0.93/0.59 % (14499)Instruction limit reached!
% 0.93/0.59 % (14499)------------------------------
% 0.93/0.59 % (14499)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.93/0.59 % (14499)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.93/0.59 % (14499)Termination reason: Time limit
% 0.93/0.59 % (14499)Termination phase: Saturation
% 0.93/0.59
% 0.93/0.59 % (14499)Memory used [KB]: 3913
% 0.93/0.59 % (14499)Time elapsed: 0.081 s
% 0.93/0.59 % (14499)Instructions burned: 146 (million)
% 1.35/0.64 % (14493)Running in auto input_syntax mode. Trying TPTP
% 1.35/0.64 % (14501)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.35/0.64 % (14493)Running in auto input_syntax mode. Trying TPTP
% 1.35/0.64 % (14502)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.35/0.66 % (14493)Running in auto input_syntax mode. Trying TPTP
% 1.35/0.66 % (14503)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.52/0.74 % (14502)Instruction limit reached!
% 1.52/0.74 % (14502)------------------------------
% 1.52/0.74 % (14502)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.52/0.74 % (14502)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.52/0.74 % (14502)Termination reason: Time limit
% 1.52/0.74 % (14502)Termination phase: Saturation
% 1.52/0.74
% 1.52/0.74 % (14502)Memory used [KB]: 4494
% 1.52/0.74 % (14502)Time elapsed: 0.123 s
% 1.52/0.74 % (14502)Instructions burned: 175 (million)
% 2.02/0.80 % (14501)First to succeed.
% 2.02/0.80 % (14493)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.80 % (14504)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.02/0.80 % (14501)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14493"
% 2.02/0.80 % (14493)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.80 % (14501)Refutation found. Thanks to Tanya!
% 2.02/0.80 % SZS status Theorem for theBenchmark
% 2.02/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.80 % (14501)------------------------------
% 2.02/0.80 % (14501)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.02/0.80 % (14501)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.02/0.80 % (14501)Termination reason: Refutation
% 2.02/0.80
% 2.02/0.80 % (14501)Memory used [KB]: 4618
% 2.02/0.80 % (14501)Time elapsed: 0.189 s
% 2.02/0.80 % (14501)Instructions burned: 268 (million)
% 2.02/0.80 % (14501)------------------------------
% 2.02/0.80 % (14501)------------------------------
% 2.02/0.80 % (14493)Success in time 0.358 s
%------------------------------------------------------------------------------