TSTP Solution File: ANA133-1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ANA133-1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 04:18:19 EDT 2024
% Result : Unsatisfiable 2.06s 0.66s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7477,plain,
$false,
inference(subsumption_resolution,[],[f7476,f20]) ).
fof(f20,plain,
! [X3] : d(X3) != sF1,
inference(definition_folding,[],[f17,f19,f18]) ).
fof(f18,plain,
cos(x) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f19,plain,
times(x,sF0) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f17,axiom,
! [X3] : d(X3) != times(x,cos(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f7476,plain,
sF1 = d('+'(sF0,times(x,sin(x)))),
inference(forward_demodulation,[],[f7475,f83]) ).
fof(f83,plain,
! [X0,X1] : '+'(X0,'+'(minus(X0),X1)) = X1,
inference(forward_demodulation,[],[f70,f5]) ).
fof(f5,axiom,
! [X0] : '+'(zero,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f70,plain,
! [X0,X1] : '+'(X0,'+'(minus(X0),X1)) = '+'(zero,X1),
inference(superposition,[],[f2,f9]) ).
fof(f9,axiom,
! [X0] : zero = '+'(X0,minus(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2,axiom,
! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f7475,plain,
d('+'(sF0,times(x,sin(x)))) = '+'(sin(x),'+'(minus(sin(x)),sF1)),
inference(forward_demodulation,[],[f7395,f78]) ).
fof(f78,plain,
! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'(X2,'+'(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f7395,plain,
d('+'(sF0,times(x,sin(x)))) = '+'(minus(sin(x)),'+'(sF1,sin(x))),
inference(superposition,[],[f277,f966]) ).
fof(f966,plain,
'+'(sF1,sin(x)) = d(times(x,sin(x))),
inference(forward_demodulation,[],[f965,f3]) ).
fof(f3,axiom,
! [X0,X1] : times(X0,X1) = times(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f965,plain,
d(times(sin(x),x)) = '+'(sF1,sin(x)),
inference(forward_demodulation,[],[f964,f1]) ).
fof(f964,plain,
d(times(sin(x),x)) = '+'(sin(x),sF1),
inference(forward_demodulation,[],[f923,f19]) ).
fof(f923,plain,
d(times(sin(x),x)) = '+'(sin(x),times(x,sF0)),
inference(superposition,[],[f158,f37]) ).
fof(f37,plain,
sF0 = d(sin(x)),
inference(forward_demodulation,[],[f36,f28]) ).
fof(f28,plain,
! [X0] : times(X0,one) = X0,
inference(superposition,[],[f3,f7]) ).
fof(f7,axiom,
! [X0] : times(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f36,plain,
d(sin(x)) = times(sF0,one),
inference(forward_demodulation,[],[f33,f12]) ).
fof(f12,axiom,
one = d(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f33,plain,
d(sin(x)) = times(sF0,d(x)),
inference(superposition,[],[f15,f18]) ).
fof(f15,axiom,
! [X3] : d(sin(X3)) = times(cos(X3),d(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f158,plain,
! [X0] : d(times(X0,x)) = '+'(X0,times(x,d(X0))),
inference(forward_demodulation,[],[f134,f28]) ).
fof(f134,plain,
! [X0] : d(times(X0,x)) = '+'(times(X0,one),times(x,d(X0))),
inference(superposition,[],[f14,f12]) ).
fof(f14,axiom,
! [X3,X4] : d(times(X3,X4)) = '+'(times(X3,d(X4)),times(X4,d(X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f277,plain,
! [X0] : d('+'(sF0,X0)) = '+'(minus(sin(x)),d(X0)),
inference(superposition,[],[f13,f68]) ).
fof(f68,plain,
minus(sin(x)) = d(sF0),
inference(forward_demodulation,[],[f67,f18]) ).
fof(f67,plain,
d(cos(x)) = minus(sin(x)),
inference(forward_demodulation,[],[f66,f7]) ).
fof(f66,plain,
d(cos(x)) = minus(times(one,sin(x))),
inference(forward_demodulation,[],[f59,f3]) ).
fof(f59,plain,
d(cos(x)) = minus(times(sin(x),one)),
inference(superposition,[],[f16,f12]) ).
fof(f16,axiom,
! [X3] : d(cos(X3)) = minus(times(sin(X3),d(X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f13,axiom,
! [X3,X4] : d('+'(X3,X4)) = '+'(d(X3),d(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA133-1 : TPTP v8.2.0. Released v8.1.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n025.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 : Sun Jun 23 04:15:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (31693)dis+10_5:2_drc=encompass:sil=256000:tgt=ground:sp=reverse_frequency:sos=all:i=207332:bd=off:fsr=off:dpc=on_0 on theBenchmark for (3000ds/207332Mi)
% 0.21/0.42 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (31694)lrs+10_1:64_drc=encompass:sil=2000:i=105:plsq=on:ss=axioms_0 on theBenchmark for (3000ds/105Mi)
% 0.21/0.42 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (31696)ott+10_2:5_bsr=unit_only:to=lpo:drc=encompass:sil=256000:sp=reverse_frequency:i=150:ins=1:dpc=on:rawr=on_0 on theBenchmark for (3000ds/150Mi)
% 0.21/0.42 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (31695)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=126:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (3000ds/126Mi)
% 0.21/0.42 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (31697)lrs+10_1:8_drc=encompass:sil=16000:tgt=ground:i=123:bd=preordered:ss=axioms_0 on theBenchmark for (3000ds/123Mi)
% 0.21/0.42 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (31698)lrs+10_1:1_drc=encompass:sil=4000:i=209:ss=axioms:sgt=8:sp=occurrence_0 on theBenchmark for (3000ds/209Mi)
% 0.21/0.42 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (31692)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=116130:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (3000ds/116130Mi)
% 0.21/0.42 % (31693)Refutation not found, incomplete strategy% (31693)------------------------------
% 0.21/0.42 % (31693)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42 % (31693)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42 % (31693)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (31693)Memory used [KB]: 819
% 0.21/0.42 % (31693)Time elapsed: 0.005 s
% 0.21/0.42 % (31693)Instructions burned: 4 (million)
% 0.21/0.42 % (31693)------------------------------
% 0.21/0.42 % (31693)------------------------------
% 0.21/0.47 % (31694)Instruction limit reached!
% 0.21/0.47 % (31694)------------------------------
% 0.21/0.47 % (31694)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (31694)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (31694)Termination reason: Time limit
% 0.21/0.47 % (31694)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (31694)Memory used [KB]: 1137
% 0.21/0.47 % (31694)Time elapsed: 0.055 s
% 0.21/0.47 % (31694)Instructions burned: 105 (million)
% 0.21/0.48 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (31699)lrs+10_1:4_drc=encompass:sil=16000:tgt=ground:lwlo=on:s2a=on:i=192:s2at=2.0_0 on theBenchmark for (2999ds/192Mi)
% 0.21/0.48 % (31697)Instruction limit reached!
% 0.21/0.48 % (31697)------------------------------
% 0.21/0.48 % (31697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (31697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (31697)Termination reason: Time limit
% 0.21/0.48 % (31697)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (31697)Memory used [KB]: 1649
% 0.21/0.48 % (31697)Time elapsed: 0.067 s
% 0.21/0.48 % (31697)Instructions burned: 124 (million)
% 0.21/0.49 % (31695)Instruction limit reached!
% 0.21/0.49 % (31695)------------------------------
% 0.21/0.49 % (31695)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (31695)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (31695)Termination reason: Time limit
% 0.21/0.49 % (31695)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (31695)Memory used [KB]: 2181
% 0.21/0.49 % (31695)Time elapsed: 0.070 s
% 0.21/0.49 % (31695)Instructions burned: 127 (million)
% 0.21/0.50 % (31696)Instruction limit reached!
% 0.21/0.50 % (31696)------------------------------
% 0.21/0.50 % (31696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (31696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (31696)Termination reason: Time limit
% 0.21/0.50 % (31696)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (31696)Memory used [KB]: 2998
% 0.21/0.50 % (31696)Time elapsed: 0.081 s
% 0.21/0.50 % (31696)Instructions burned: 151 (million)
% 0.21/0.51 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (31700)lrs+10_1:7_drc=encompass:sil=64000:tgt=full:spb=non_intro:i=454:awrs=converge:awrsf=67:sp=reverse_frequency:nwc=1.5_0 on theBenchmark for (2998ds/454Mi)
% 0.21/0.51 % (31698)Instruction limit reached!
% 0.21/0.51 % (31698)------------------------------
% 0.21/0.51 % (31698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.51 % (31698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.51 % (31698)Termination reason: Time limit
% 0.21/0.51 % (31698)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (31698)Memory used [KB]: 2790
% 0.21/0.51 % (31698)Time elapsed: 0.098 s
% 0.21/0.51 % (31698)Instructions burned: 212 (million)
% 0.21/0.52 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (31701)lrs+10_1:2_sil=2000:tgt=ground:spb=goal:i=359:kws=precedence:irc=eager_0 on theBenchmark for (2998ds/359Mi)
% 0.21/0.52 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (31702)lrs+10_1:1_sil=4000:sp=occurrence:i=163:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2998ds/163Mi)
% 0.21/0.53 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53 % (31703)lrs+10_1:1024_drc=encompass:sil=4000:tgt=full:i=1030:kws=inv_frequency:awrs=converge_0 on theBenchmark for (2998ds/1030Mi)
% 0.21/0.54 % (31699)Instruction limit reached!
% 0.21/0.54 % (31699)------------------------------
% 0.21/0.54 % (31699)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54 % (31699)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54 % (31699)Termination reason: Time limit
% 0.21/0.54 % (31699)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (31699)Memory used [KB]: 2970
% 0.21/0.54 % (31699)Time elapsed: 0.066 s
% 0.21/0.54 % (31699)Instructions burned: 195 (million)
% 0.21/0.55 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.55 % (31704)lrs+10_3:1_sil=4000:tgt=ground:i=631:kws=frequency:bd=off:drc=encompass:irc=lazy_0 on theBenchmark for (2998ds/631Mi)
% 0.21/0.58 % (31702)Instruction limit reached!
% 0.21/0.58 % (31702)------------------------------
% 0.21/0.58 % (31702)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.58 % (31702)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.58 % (31702)Termination reason: Time limit
% 0.21/0.58 % (31702)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (31702)Memory used [KB]: 2592
% 0.21/0.58 % (31702)Time elapsed: 0.057 s
% 0.21/0.58 % (31702)Instructions burned: 164 (million)
% 0.21/0.58 % (31691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.58 % (31705)lrs+10_1:3_to=lpo:drc=encompass:sil=4000:tgt=full:i=901:rawr=on:ins=4:bd=off:fd=preordered_0 on theBenchmark for (2998ds/901Mi)
% 1.85/0.61 % (31691)Running in auto input_syntax mode. Trying TPTP
% 1.85/0.61 % (31706)lrs+10_1:24_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=non_intro:i=312:ins=2:fsr=off:kws=precedence:irc=eager:bsr=unit_only:br=off:ss=included:sgt=16:bd=preordered_0 on theBenchmark for (2997ds/312Mi)
% 2.06/0.64 % (31701)Instruction limit reached!
% 2.06/0.64 % (31701)------------------------------
% 2.06/0.64 % (31701)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.64 % (31701)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.64 % (31701)Termination reason: Time limit
% 2.06/0.64 % (31701)Termination phase: Saturation
% 2.06/0.64
% 2.06/0.64 % (31701)Memory used [KB]: 4633
% 2.06/0.64 % (31701)Time elapsed: 0.126 s
% 2.06/0.64 % (31701)Instructions burned: 360 (million)
% 2.06/0.66 % (31700)Instruction limit reached!
% 2.06/0.66 % (31700)------------------------------
% 2.06/0.66 % (31700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.66 % (31700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.66 % (31700)Termination reason: Time limit
% 2.06/0.66 % (31700)Termination phase: Saturation
% 2.06/0.66
% 2.06/0.66 % (31700)Memory used [KB]: 4878
% 2.06/0.66 % (31700)Time elapsed: 0.149 s
% 2.06/0.66 % (31700)Instructions burned: 455 (million)
% 2.06/0.66 % (31704)First to succeed.
% 2.06/0.66 % (31704)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31691"
% 2.06/0.66 % (31691)Running in auto input_syntax mode. Trying TPTP
% 2.06/0.66 % (31704)Refutation found. Thanks to Tanya!
% 2.06/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.06/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.66 % (31704)------------------------------
% 2.06/0.66 % (31704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.66 % (31704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.66 % (31704)Termination reason: Refutation
% 2.06/0.66
% 2.06/0.66 % (31704)Memory used [KB]: 4030
% 2.06/0.66 % (31704)Time elapsed: 0.110 s
% 2.06/0.66 % (31704)Instructions burned: 329 (million)
% 2.06/0.66 % (31704)------------------------------
% 2.06/0.66 % (31704)------------------------------
% 2.06/0.66 % (31691)Success in time 0.304 s
%------------------------------------------------------------------------------