TSTP Solution File: ARI721_1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ARI721_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 04:32:33 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 14 unt; 1 typ; 0 def)
% Number of atoms : 79 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 42 ~; 35 |; 0 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 158 ( 45 atm; 54 fun; 34 num; 25 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 23 !; 2 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $real ).
tff(f161,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f107,f160]) ).
tff(f160,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f159]) ).
tff(f159,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f158,f9]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f158,plain,
( $less(sK0,sK0)
| ~ spl1_1 ),
inference(evaluation,[],[f155]) ).
tff(f155,plain,
( $less(sK0,sK0)
| ~ $less(0.0,0.5)
| ~ spl1_1 ),
inference(superposition,[],[f144,f6]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_145,[]) ).
tff(f144,plain,
( ! [X0: $real] :
( $less($sum(sK0,X0),sK0)
| ~ $less(X0,0.5) )
| ~ spl1_1 ),
inference(superposition,[],[f142,f4]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f142,plain,
( ! [X0: $real] :
( $less($sum(X0,sK0),sK0)
| ~ $less(X0,0.5) )
| ~ spl1_1 ),
inference(resolution,[],[f140,f12]) ).
tff(f12,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_153,[]) ).
tff(f140,plain,
( ! [X0: $real] :
( ~ $less(X0,$sum(0.5,sK0))
| $less(X0,sK0) )
| ~ spl1_1 ),
inference(resolution,[],[f139,f10]) ).
tff(f10,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_151,[]) ).
tff(f139,plain,
( $less($sum(0.5,sK0),sK0)
| ~ spl1_1 ),
inference(evaluation,[],[f138]) ).
tff(f138,plain,
( $less($sum($sum(1.5,sK0),$uminus(1.0)),sK0)
| ~ spl1_1 ),
inference(resolution,[],[f136,f16]) ).
tff(f16,plain,
! [X0: $real] : $less($sum(X0,$uminus(1.0)),$floor(X0)),
introduced(theory_axiom_171,[]) ).
tff(f136,plain,
( ! [X0: $real] :
( ~ $less(X0,$floor($sum(1.5,sK0)))
| $less(X0,sK0) )
| ~ spl1_1 ),
inference(resolution,[],[f25,f10]) ).
tff(f25,plain,
( $less($floor($sum(1.5,sK0)),sK0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f24,plain,
( spl1_1
<=> $less($floor($sum(1.5,sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f107,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f106]) ).
tff(f106,plain,
( $false
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f105,f9]) ).
tff(f105,plain,
( $less(sK0,sK0)
| ~ spl1_2 ),
inference(evaluation,[],[f102]) ).
tff(f102,plain,
( ~ $less(0.0,0.5)
| $less(sK0,sK0)
| ~ spl1_2 ),
inference(superposition,[],[f82,f6]) ).
tff(f82,plain,
( ! [X0: $real] :
( $less($sum(sK0,X0),sK0)
| ~ $less(X0,0.5) )
| ~ spl1_2 ),
inference(superposition,[],[f36,f4]) ).
tff(f36,plain,
( ! [X0: $real] :
( $less($sum(X0,sK0),sK0)
| ~ $less(X0,0.5) )
| ~ spl1_2 ),
inference(resolution,[],[f35,f12]) ).
tff(f35,plain,
( ! [X0: $real] :
( ~ $less(X0,$sum(0.5,sK0))
| $less(X0,sK0) )
| ~ spl1_2 ),
inference(resolution,[],[f33,f10]) ).
tff(f33,plain,
( $less($sum(0.5,sK0),sK0)
| ~ spl1_2 ),
inference(evaluation,[],[f32]) ).
tff(f32,plain,
( $less($sum($sum(1.5,sK0),$uminus(1.0)),sK0)
| ~ spl1_2 ),
inference(superposition,[],[f16,f28]) ).
tff(f28,plain,
( ( sK0 = $floor($sum(1.5,sK0)) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f27]) ).
tff(f27,plain,
( spl1_2
<=> ( sK0 = $floor($sum(1.5,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f29,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f22,f27,f24]) ).
tff(f22,plain,
( $less($floor($sum(1.5,sK0)),sK0)
| ( sK0 = $floor($sum(1.5,sK0)) ) ),
inference(resolution,[],[f21,f11]) ).
tff(f11,plain,
! [X0: $real,X1: $real] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_152,[]) ).
tff(f21,plain,
~ $less(sK0,$floor($sum(1.5,sK0))),
inference(forward_demodulation,[],[f20,f4]) ).
tff(f20,plain,
~ $less(sK0,$floor($sum(sK0,1.5))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
~ $less(sK0,$floor($sum(sK0,1.5))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $real] : ~ $less(X0,$floor($sum(X0,1.5)))
=> ~ $less(sK0,$floor($sum(sK0,1.5))) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $real] : ~ $less(X0,$floor($sum(X0,1.5))),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real] : $less(X0,$floor($sum(X0,1.5))),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : $greater($floor($sum(X0,1.5)),X0),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] : $greater($floor($sum(X0,1.5)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI721_1 : TPTP v8.2.0. Released v6.3.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n019.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 : Fri Jun 21 05:32:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TF0_THM_NEQ_ARI problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43 % (24262)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (24271)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.43 % (24262)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (24269)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.43 % (24262)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (24272)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.21/0.43 % (24269)Instruction limit reached!
% 0.21/0.43 % (24269)------------------------------
% 0.21/0.43 % (24269)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (24269)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (24269)Termination reason: Time limit
% 0.21/0.43 % (24262)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (24270)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.43 % (24269)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (24269)Memory used [KB]: 757
% 0.21/0.43 % (24269)Time elapsed: 0.003 s
% 0.21/0.43 % (24269)Instructions burned: 2 (million)
% 0.21/0.43 % (24262)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (24266)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.21/0.43 % (24262)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (24268)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.43 % (24262)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (24267)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.44 % (24268)Instruction limit reached!
% 0.21/0.44 % (24268)------------------------------
% 0.21/0.44 % (24268)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (24268)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (24268)Termination reason: Time limit
% 0.21/0.44 % (24268)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (24268)Memory used [KB]: 875
% 0.21/0.44 % (24268)Time elapsed: 0.009 s
% 0.21/0.44 % (24268)Instructions burned: 8 (million)
% 0.21/0.44 % (24271)Instruction limit reached!
% 0.21/0.44 % (24271)------------------------------
% 0.21/0.44 % (24271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (24271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (24271)Termination reason: Time limit
% 0.21/0.44 % (24271)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (24271)Memory used [KB]: 909
% 0.21/0.44 % (24271)Time elapsed: 0.014 s
% 0.21/0.44 % (24271)Instructions burned: 15 (million)
% 0.21/0.44 % (24267)First to succeed.
% 0.21/0.44 % (24267)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24262"
% 0.21/0.44 % (24262)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (24267)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (24267)------------------------------
% 0.21/0.44 % (24267)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (24267)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (24267)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (24267)Memory used [KB]: 870
% 0.21/0.44 % (24267)Time elapsed: 0.011 s
% 0.21/0.44 % (24267)Instructions burned: 11 (million)
% 0.21/0.44 % (24267)------------------------------
% 0.21/0.44 % (24267)------------------------------
% 0.21/0.44 % (24262)Success in time 0.072 s
%------------------------------------------------------------------------------