TSTP Solution File: NUM835+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : NUM835+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% 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 13:27:59 EDT 2024
% Result : Theorem 0.22s 0.56s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 61 ( 41 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 20 ~; 28 |; 2 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 22 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2455,plain,
$false,
inference(avatar_sat_refutation,[],[f264,f265,f2454]) ).
fof(f2454,plain,
( spl3_2
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f2453]) ).
fof(f2453,plain,
( $false
| spl3_2
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f2452,f214]) ).
fof(f214,plain,
( vd165 != vd151
| spl3_2 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl3_2
<=> vd165 = vd151 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f2452,plain,
( vd165 = vd151
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f2451,f262]) ).
fof(f262,plain,
( ! [X0] : vd165 != vplus(vd151,X0)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl3_12
<=> ! [X0] : vd165 != vplus(vd151,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f2451,plain,
( vd165 = vplus(vd151,sK2(vd151,vd165))
| vd165 = vd151 ),
inference(equality_resolution,[],[f511]) ).
fof(f511,plain,
! [X0] :
( vd151 != X0
| vd165 = vplus(X0,sK2(X0,vd165))
| vd165 = X0 ),
inference(superposition,[],[f114,f487]) ).
fof(f487,plain,
! [X0,X1] :
( vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK2(X0,X1)) = X1
| X0 = X1 ),
inference(subsumption_resolution,[],[f206,f204]) ).
fof(f204,plain,
! [X1] : ~ m(X1),
inference(consistent_polarity_flipping,[],[f191]) ).
fof(f191,plain,
! [X1] : m(X1),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X3,X0,X1] :
( vplus(X1,X3) != X0
| m(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( m(X1)
<=> ( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] :
( m(X5)
<=> ( ? [X7] : vplus(X4,X7) = X5
| ? [X6] : vplus(X5,X6) = X4
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f206,plain,
! [X0,X1] :
( X0 = X1
| vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK2(X0,X1)) = X1
| m(X1) ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( X0 = X1
| vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK2(X0,X1)) = X1
| ~ m(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f114,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( vd165 != vd151
& ! [X0] : vd151 != vplus(vd165,X0)
& ! [X1] : vd165 != vplus(vd151,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
~ ( vd165 = vd151
| ? [X0] : vd151 = vplus(vd165,X0)
| ? [X1] : vd165 = vplus(vd151,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( vd165 = vd151
| ? [X1] : vd151 = vplus(vd165,X1)
| ? [X0] : vd165 = vplus(vd151,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( vd165 = vd151
| ? [X1] : vd151 = vplus(vd165,X1)
| ? [X0] : vd165 = vplus(vd151,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f265,plain,
spl3_12,
inference(avatar_split_clause,[],[f113,f261]) ).
fof(f113,plain,
! [X1] : vd165 != vplus(vd151,X1),
inference(cnf_transformation,[],[f72]) ).
fof(f264,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f115,f212]) ).
fof(f115,plain,
vd165 != vd151,
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM835+1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n024.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 : Sat Jun 22 22:59:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (27085)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)
% 0.22/0.42 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (27083)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.42 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (27082)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)
% 0.22/0.42 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (27081)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.22/0.42 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (27080)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)
% 0.22/0.42 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (27084)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)
% 0.22/0.42 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (27079)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [10]
% 0.22/0.44 TRYING [5]
% 0.22/0.46 TRYING [6]
% 0.22/0.48 % (27083)Instruction limit reached!
% 0.22/0.48 % (27083)------------------------------
% 0.22/0.48 % (27083)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (27083)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (27083)Termination reason: Time limit
% 0.22/0.48 % (27083)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (27083)Memory used [KB]: 1473
% 0.22/0.48 % (27083)Time elapsed: 0.063 s
% 0.22/0.48 % (27083)Instructions burned: 105 (million)
% 0.22/0.49 % (27085)Instruction limit reached!
% 0.22/0.49 % (27085)------------------------------
% 0.22/0.49 % (27085)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (27085)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (27085)Termination reason: Time limit
% 0.22/0.49 % (27085)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (27085)Memory used [KB]: 2068
% 0.22/0.49 % (27085)Time elapsed: 0.067 s
% 0.22/0.49 % (27085)Instructions burned: 116 (million)
% 0.22/0.50 % (27084)Instruction limit reached!
% 0.22/0.50 % (27084)------------------------------
% 0.22/0.50 % (27084)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (27084)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (27084)Termination reason: Time limit
% 0.22/0.50 % (27084)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (27084)Memory used [KB]: 1963
% 0.22/0.50 % (27084)Time elapsed: 0.085 s
% 0.22/0.50 % (27084)Instructions burned: 146 (million)
% 0.22/0.51 TRYING [7]
% 0.22/0.52 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (27086)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)
% 0.22/0.52 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (27087)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.22/0.54 TRYING [23]
% 0.22/0.54 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.54 % (27088)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)
% 0.22/0.56 % (27086)First to succeed.
% 0.22/0.56 % (27086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27078"
% 0.22/0.56 % (27078)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.56 % (27086)Refutation found. Thanks to Tanya!
% 0.22/0.56 % SZS status Theorem for theBenchmark
% 0.22/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.56 % (27086)------------------------------
% 0.22/0.56 % (27086)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56 % (27086)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56 % (27086)Termination reason: Refutation
% 0.22/0.56
% 0.22/0.56 % (27086)Memory used [KB]: 1532
% 0.22/0.56 % (27086)Time elapsed: 0.041 s
% 0.22/0.56 % (27086)Instructions burned: 124 (million)
% 0.22/0.56 % (27086)------------------------------
% 0.22/0.56 % (27086)------------------------------
% 0.22/0.56 % (27078)Success in time 0.19 s
%------------------------------------------------------------------------------