TSTP Solution File: SWW216+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW216+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.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 18:31:37 EDT 2024
% Result : Theorem 1.58s 0.67s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 20 ~; 14 |; 1 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5929,plain,
$false,
inference(subsumption_resolution,[],[f5928,f3732]) ).
fof(f3732,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1134]) ).
fof(f1134,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5928,plain,
~ class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(subsumption_resolution,[],[f5927,f3994]) ).
fof(f3994,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5927,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(subsumption_resolution,[],[f5912,f4015]) ).
fof(f4015,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5912,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(resolution,[],[f3730,f5197]) ).
fof(f5197,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(cnf_transformation,[],[f3642]) ).
fof(f3642,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
& ( c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2)) ) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(nnf_transformation,[],[f2977]) ).
fof(f2977,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f2976]) ).
fof(f2976,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f2026]) ).
fof(f2026,plain,
! [X0,X1,X2,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) ) ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X15,X16,X17,X9] :
( class_Fields_Olinordered__field(X9)
=> ( c_Orderings_Oord__class_Oless(X9,c_Groups_Ozero__class_Ozero(X9),X17)
=> ( c_Orderings_Oord__class_Oless(X9,X16,c_Rings_Oinverse__class_Odivide(X9,X15,X17))
<=> c_Orderings_Oord__class_Oless(X9,hAPP(c_Groups_Otimes__class_Otimes(X9,X16),X17),X15) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3730,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f1252]) ).
fof(f1252,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(flattening,[],[f1251]) ).
fof(f1251,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(negated_conjecture,[],[f1250]) ).
fof(f1250,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW216+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jun 19 09:41:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.49 % (17769)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.49 % (17776)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)
% 0.24/0.49 % (17769)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.49 % (17773)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.24/0.49 % (17769)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.49 % (17774)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.24/0.49 % (17769)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.49 % (17775)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.24/0.49 % (17769)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.49 % (17771)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)
% 0.24/0.49 % (17769)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.49 % (17772)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)
% 0.24/0.49 % (17769)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.49 % (17770)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.24/0.52 % (17776)Refutation not found, incomplete strategy% (17776)------------------------------
% 0.24/0.52 % (17776)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.52 % (17776)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.52 % (17776)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.52
% 0.24/0.52 % (17776)Memory used [KB]: 2783
% 0.24/0.52 % (17776)Time elapsed: 0.026 s
% 0.24/0.52 % (17776)Instructions burned: 55 (million)
% 0.82/0.52 % (17776)------------------------------
% 0.82/0.52 % (17776)------------------------------
% 0.95/0.57 % (17769)Running in auto input_syntax mode. Trying TPTP
% 0.95/0.57 % (17777)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)
% 0.95/0.60 % (17774)Instruction limit reached!
% 0.95/0.60 % (17774)------------------------------
% 0.95/0.60 % (17774)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.95/0.60 % (17774)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.95/0.60 % (17774)Termination reason: Time limit
% 0.95/0.60 % (17774)Termination phase: Saturation
% 0.95/0.60
% 0.95/0.60 % (17774)Memory used [KB]: 2963
% 0.95/0.60 % (17774)Time elapsed: 0.115 s
% 0.95/0.60 % (17774)Instructions burned: 252 (million)
% 0.95/0.62 % (17777)Instruction limit reached!
% 0.95/0.62 % (17777)------------------------------
% 0.95/0.62 % (17777)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.95/0.62 % (17777)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.95/0.62 % (17777)Termination reason: Time limit
% 0.95/0.62 % (17777)Termination phase: Saturation
% 0.95/0.62
% 0.95/0.62 % (17777)Memory used [KB]: 3115
% 0.95/0.62 % (17777)Time elapsed: 0.046 s
% 0.95/0.62 % (17777)Instructions burned: 127 (million)
% 1.58/0.63 % (17775)Instruction limit reached!
% 1.58/0.63 % (17775)------------------------------
% 1.58/0.63 % (17775)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.58/0.63 % (17775)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.58/0.63 % (17775)Termination reason: Time limit
% 1.58/0.63 % (17775)Termination phase: Saturation
% 1.58/0.63
% 1.58/0.63 % (17775)Memory used [KB]: 3522
% 1.58/0.63 % (17775)Time elapsed: 0.147 s
% 1.58/0.63 % (17775)Instructions burned: 348 (million)
% 1.58/0.64 % (17769)Running in auto input_syntax mode. Trying TPTP
% 1.58/0.64 % (17778)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.58/0.65 % (17769)Running in auto input_syntax mode. Trying TPTP
% 1.58/0.65 % (17779)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)
% 1.58/0.67 % (17769)Running in auto input_syntax mode. Trying TPTP
% 1.58/0.67 % (17783)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)
% 1.58/0.67 % (17778)First to succeed.
% 1.58/0.67 % (17778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17769"
% 1.58/0.67 % (17769)Running in auto input_syntax mode. Trying TPTP
% 1.58/0.67 % (17778)Refutation found. Thanks to Tanya!
% 1.58/0.67 % SZS status Theorem for theBenchmark
% 1.58/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.67 % (17778)------------------------------
% 1.58/0.67 % (17778)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.58/0.67 % (17778)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.58/0.67 % (17778)Termination reason: Refutation
% 1.58/0.67
% 1.58/0.67 % (17778)Memory used [KB]: 4395
% 1.58/0.67 % (17778)Time elapsed: 0.034 s
% 1.58/0.67 % (17778)Instructions burned: 116 (million)
% 1.58/0.67 % (17778)------------------------------
% 1.58/0.67 % (17778)------------------------------
% 1.58/0.67 % (17769)Success in time 0.234 s
%------------------------------------------------------------------------------