TSTP Solution File: NUM905_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM905_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.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 : Wed Aug 31 18:07:09 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 111 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 113 ( 48 ~; 53 |; 4 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 107 ( 23 atm; 28 fun; 35 num; 21 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 18 !; 3 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $rat ).
tff(f220,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f29,f195,f205,f210,f215,f219]) ).
tff(f219,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f216]) ).
tff(f216,plain,
( $false
| ~ spl1_3
| ~ spl1_4 ),
inference(unit_resulting_resolution,[],[f8,f189,f194,f9]) ).
tff(f9,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f194,plain,
( $less(0/1,sK0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f192]) ).
tff(f192,plain,
( spl1_4
<=> $less(0/1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f189,plain,
( $less(sK0,0/1)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f188]) ).
tff(f188,plain,
( spl1_3
<=> $less(sK0,0/1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f8,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f215,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f214]) ).
tff(f214,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(evaluation,[],[f213]) ).
tff(f213,plain,
( ( 0/1 != $uminus(0/1) )
| spl1_1
| ~ spl1_2 ),
inference(forward_demodulation,[],[f22,f27]) ).
tff(f27,plain,
( ( 0/1 = sK0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f25,plain,
( spl1_2
<=> ( 0/1 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f22,plain,
( ( $uminus(sK0) != sK0 )
| spl1_1 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f21,plain,
( spl1_1
<=> ( $uminus(sK0) = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f210,plain,
( spl1_2
| spl1_3
| spl1_4 ),
inference(avatar_contradiction_clause,[],[f207]) ).
tff(f207,plain,
( $false
| spl1_2
| spl1_3
| spl1_4 ),
inference(unit_resulting_resolution,[],[f26,f190,f193,f10]) ).
tff(f10,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f193,plain,
( ~ $less(0/1,sK0)
| spl1_4 ),
inference(avatar_component_clause,[],[f192]) ).
tff(f190,plain,
( ~ $less(sK0,0/1)
| spl1_3 ),
inference(avatar_component_clause,[],[f188]) ).
tff(f26,plain,
( ( 0/1 != sK0 )
| spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f205,plain,
( ~ spl1_4
| ~ spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f204,f188,f21,f192]) ).
tff(f204,plain,
( ~ $less(0/1,sK0)
| ~ spl1_1
| spl1_3 ),
inference(subsumption_resolution,[],[f200,f190]) ).
tff(f200,plain,
( $less(sK0,0/1)
| ~ $less(0/1,sK0)
| ~ spl1_1 ),
inference(superposition,[],[f177,f39]) ).
tff(f39,plain,
! [X0: $rat] : ( $sum(0/1,X0) = X0 ),
inference(superposition,[],[f3,f5]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f177,plain,
( ! [X17: $rat] :
( $less($sum(X17,sK0),0/1)
| ~ $less(X17,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f31]) ).
tff(f31,plain,
( ( 0/1 = $sum(sK0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f7,f23]) ).
tff(f23,plain,
( ( $uminus(sK0) = sK0 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f195,plain,
( ~ spl1_3
| spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f183,f21,f192,f188]) ).
tff(f183,plain,
( $less(0/1,sK0)
| ~ $less(sK0,0/1)
| ~ spl1_1 ),
inference(superposition,[],[f169,f39]) ).
tff(f169,plain,
( ! [X17: $rat] :
( $less(0/1,$sum(X17,sK0))
| ~ $less(sK0,X17) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f31]) ).
tff(f29,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
tff(f19,plain,
( ( 0/1 != sK0 )
| ( $uminus(sK0) != sK0 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( ( $uminus(sK0) != sK0 )
| ( 0/1 != sK0 ) )
& ( ( $uminus(sK0) = sK0 )
| ( 0/1 = sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat] :
( ( ( $uminus(X0) != X0 )
| ( 0/1 != X0 ) )
& ( ( $uminus(X0) = X0 )
| ( 0/1 = X0 ) ) )
=> ( ( ( $uminus(sK0) != sK0 )
| ( 0/1 != sK0 ) )
& ( ( $uminus(sK0) = sK0 )
| ( 0/1 = sK0 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat] :
( ( ( $uminus(X0) != X0 )
| ( 0/1 != X0 ) )
& ( ( $uminus(X0) = X0 )
| ( 0/1 = X0 ) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f14,plain,
? [X0: $rat] :
( ( 0/1 = X0 )
<~> ( $uminus(X0) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( 0/1 = X0 )
<=> ( $uminus(X0) = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( 0/1 = X0 )
<=> ( $uminus(X0) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_uminus_problem_9) ).
tff(f28,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f18,f25,f21]) ).
tff(f18,plain,
( ( 0/1 = sK0 )
| ( $uminus(sK0) = sK0 ) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM905=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.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 : Tue Aug 30 11:23:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (26164)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.53 % (26139)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53 % (26156)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.54 % (26147)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.54 % (26139)First to succeed.
% 0.19/0.54 % (26156)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.54 % (26156)Terminated due to inappropriate strategy.
% 0.19/0.54 % (26156)------------------------------
% 0.19/0.54 % (26156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (26156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (26156)Termination reason: Inappropriate
% 0.19/0.54
% 0.19/0.54 % (26156)Memory used [KB]: 895
% 0.19/0.54 % (26156)Time elapsed: 0.002 s
% 0.19/0.54 % (26156)Instructions burned: 1 (million)
% 0.19/0.54 % (26156)------------------------------
% 0.19/0.54 % (26156)------------------------------
% 0.19/0.55 % (26139)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (26139)------------------------------
% 0.19/0.55 % (26139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26139)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (26139)Memory used [KB]: 5628
% 0.19/0.55 % (26139)Time elapsed: 0.149 s
% 0.19/0.55 % (26139)Instructions burned: 10 (million)
% 0.19/0.55 % (26139)------------------------------
% 0.19/0.55 % (26139)------------------------------
% 0.19/0.55 % (26135)Success in time 0.199 s
%------------------------------------------------------------------------------