TSTP Solution File: NUM892_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM892_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_uns --cores 0 -t %d %s
% Computer : n026.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 18:02:47 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 2 unt; 2 typ; 0 def)
% Number of atoms : 105 ( 23 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 120 ( 49 ~; 50 |; 12 &)
% ( 7 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 79 ( 54 atm; 0 fun; 0 num; 25 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 15 !; 10 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f40,f41,f78,f83]) ).
tff(f83,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f82]) ).
tff(f82,plain,
( $false
| ~ spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f81,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f81,plain,
( $less(sK0,sK0)
| ~ spl2_1
| ~ spl2_2 ),
inference(superposition,[],[f33,f28]) ).
tff(f28,plain,
( ( sK0 = sK1 )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f27]) ).
tff(f27,plain,
( spl2_1
<=> ( sK0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f33,plain,
( $less(sK1,sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f31]) ).
tff(f31,plain,
( spl2_2
<=> $less(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f78,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f77]) ).
tff(f77,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f76,f9]) ).
tff(f76,plain,
( $less(sK0,sK0)
| ~ spl2_2
| ~ spl2_3 ),
inference(resolution,[],[f42,f39]) ).
tff(f39,plain,
( $less(sK0,sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f37,plain,
( spl2_3
<=> $less(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f42,plain,
( ! [X0: $int] :
( ~ $less(X0,sK1)
| $less(X0,sK0) )
| ~ spl2_2 ),
inference(resolution,[],[f33,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f41,plain,
( spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f25,f37,f31]) ).
tff(f25,plain,
( ~ $less(sK0,sK1)
| $less(sK1,sK0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( $less(sK1,sK0)
| ( ~ $less(sK0,sK1)
& ( sK0 != sK1 ) ) )
& ( ~ $less(sK1,sK0)
| $less(sK0,sK1)
| ( sK0 = sK1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $int,X1: $int] :
( ( $less(X1,X0)
| ( ~ $less(X0,X1)
& ( X0 != X1 ) ) )
& ( ~ $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ) )
=> ( ( $less(sK1,sK0)
| ( ~ $less(sK0,sK1)
& ( sK0 != sK1 ) ) )
& ( ~ $less(sK1,sK0)
| $less(sK0,sK1)
| ( sK0 = sK1 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $int,X1: $int] :
( ( $less(X1,X0)
| ( ~ $less(X0,X1)
& ( X0 != X1 ) ) )
& ( ~ $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
? [X1: $int,X0: $int] :
( ( $less(X0,X1)
| ( ~ $less(X1,X0)
& ( X0 != X1 ) ) )
& ( ~ $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
? [X1: $int,X0: $int] :
( ( $less(X0,X1)
| ( ~ $less(X1,X0)
& ( X0 != X1 ) ) )
& ( ~ $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
? [X1: $int,X0: $int] :
( ( $less(X1,X0)
| ( X0 = X1 ) )
<~> ~ $less(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
<=> ( $less(X1,X0)
| ( X0 = X1 ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
<=> ( ( X0 = X1 )
| $less(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_lesseq) ).
tff(f40,plain,
( spl2_3
| spl2_1 ),
inference(avatar_split_clause,[],[f35,f27,f37]) ).
tff(f35,plain,
( ( sK0 = sK1 )
| $less(sK0,sK1) ),
inference(subsumption_resolution,[],[f23,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f23,plain,
( ( sK0 = sK1 )
| ~ $less(sK1,sK0)
| $less(sK0,sK1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f34,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f24,f31,f27]) ).
tff(f24,plain,
( $less(sK1,sK0)
| ( sK0 != sK1 ) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM892=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.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 : Tue Aug 30 09:26:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (4042)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 (3000ds/32Mi)
% 0.20/0.51 % (4050)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 % (4059)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 % (4051)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.51 % (4049)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.20/0.52 % (4058)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.20/0.52 % (4051)Instruction limit reached!
% 0.20/0.52 % (4051)------------------------------
% 0.20/0.52 % (4051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (4051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (4051)Termination reason: Unknown
% 0.20/0.52 % (4051)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (4051)Memory used [KB]: 5373
% 0.20/0.52 % (4051)Time elapsed: 0.005 s
% 0.20/0.52 % (4051)Instructions burned: 2 (million)
% 0.20/0.52 % (4051)------------------------------
% 0.20/0.52 % (4051)------------------------------
% 0.20/0.52 % (4059)First to succeed.
% 0.20/0.52 % (4043)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.20/0.52 % (4050)Also succeeded, but the first one will report.
% 0.20/0.52 % (4059)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (4059)------------------------------
% 0.20/0.52 % (4059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (4059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (4059)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (4059)Memory used [KB]: 5500
% 0.20/0.52 % (4059)Time elapsed: 0.070 s
% 0.20/0.52 % (4059)Instructions burned: 3 (million)
% 0.20/0.52 % (4059)------------------------------
% 0.20/0.52 % (4059)------------------------------
% 0.20/0.52 % (4034)Success in time 0.163 s
%------------------------------------------------------------------------------