TSTP Solution File: NUM891_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM891_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 : n008.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 0.19s 0.59s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 50 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 128 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 141 ( 62 ~; 67 |; 4 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 131 ( 35 atm; 30 fun; 41 num; 25 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 : 25 ( 22 !; 3 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f237,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f30,f33,f128,f155,f181,f236]) ).
tff(f236,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f235]) ).
tff(f235,plain,
( $false
| ~ spl1_1
| ~ spl1_3
| ~ spl1_4 ),
inference(subsumption_resolution,[],[f230,f126]) ).
tff(f126,plain,
( $less(0,sK0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f125]) ).
tff(f125,plain,
( spl1_4
<=> $less(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f230,plain,
( ~ $less(0,sK0)
| ~ spl1_1
| ~ spl1_3 ),
inference(resolution,[],[f166,f123]) ).
tff(f123,plain,
( $less(sK0,0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f121,plain,
( spl1_3
<=> $less(sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f166,plain,
( ! [X4: $int] :
( ~ $less(sK0,X4)
| ~ $less(X4,sK0) )
| ~ spl1_1 ),
inference(evaluation,[],[f158]) ).
tff(f158,plain,
( ! [X4: $int] :
( ~ $less(X4,sK0)
| ~ $less(sK0,X4)
| $less(0,0) )
| ~ spl1_1 ),
inference(resolution,[],[f47,f39]) ).
tff(f39,plain,
( ! [X2: $int] :
( $less(0,$sum(X2,sK0))
| ~ $less(sK0,X2) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f34]) ).
tff(f34,plain,
( ( 0 = $sum(sK0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f7,f24]) ).
tff(f24,plain,
( ( sK0 = $uminus(sK0) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f22,plain,
( spl1_1
<=> ( sK0 = $uminus(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f47,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,sK0))
| ~ $less(X0,sK0)
| $less(X1,0) )
| ~ spl1_1 ),
inference(resolution,[],[f38,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f38,plain,
( ! [X1: $int] :
( $less($sum(X1,sK0),0)
| ~ $less(X1,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f34]) ).
tff(f181,plain,
( spl1_4
| ~ spl1_3
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f85,f22,f121,f125]) ).
tff(f85,plain,
( ~ $less(sK0,0)
| $less(0,sK0)
| ~ spl1_1 ),
inference(superposition,[],[f54,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f54,plain,
( ! [X0: $int] :
( $less(0,$sum(sK0,X0))
| ~ $less(sK0,X0) )
| ~ spl1_1 ),
inference(superposition,[],[f39,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f155,plain,
( spl1_3
| spl1_2
| spl1_4 ),
inference(avatar_split_clause,[],[f140,f125,f26,f121]) ).
tff(f26,plain,
( spl1_2
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f140,plain,
( $less(sK0,0)
| spl1_2
| spl1_4 ),
inference(subsumption_resolution,[],[f139,f27]) ).
tff(f27,plain,
( ( 0 != sK0 )
| spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f139,plain,
( $less(sK0,0)
| ( 0 = sK0 )
| spl1_4 ),
inference(resolution,[],[f127,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f127,plain,
( ~ $less(0,sK0)
| spl1_4 ),
inference(avatar_component_clause,[],[f125]) ).
tff(f128,plain,
( spl1_3
| ~ spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f75,f22,f125,f121]) ).
tff(f75,plain,
( ~ $less(0,sK0)
| $less(sK0,0)
| ~ spl1_1 ),
inference(superposition,[],[f49,f5]) ).
tff(f49,plain,
( ! [X1: $int] :
( $less($sum(sK0,X1),0)
| ~ $less(X1,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f38,f3]) ).
tff(f33,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f32]) ).
tff(f32,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(evaluation,[],[f31]) ).
tff(f31,plain,
( ( 0 != $uminus(0) )
| spl1_1
| ~ spl1_2 ),
inference(superposition,[],[f23,f28]) ).
tff(f28,plain,
( ( 0 = sK0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f23,plain,
( ( sK0 != $uminus(sK0) )
| spl1_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f30,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f20,f22,f26]) ).
tff(f20,plain,
( ( sK0 != $uminus(sK0) )
| ( 0 != sK0 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( ( sK0 != $uminus(sK0) )
| ( 0 != sK0 ) )
& ( ( sK0 = $uminus(sK0) )
| ( 0 = sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ( ( $uminus(X0) != X0 )
| ( 0 != X0 ) )
& ( ( $uminus(X0) = X0 )
| ( 0 = X0 ) ) )
=> ( ( ( sK0 != $uminus(sK0) )
| ( 0 != sK0 ) )
& ( ( sK0 = $uminus(sK0) )
| ( 0 = sK0 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ( ( $uminus(X0) != X0 )
| ( 0 != X0 ) )
& ( ( $uminus(X0) = X0 )
| ( 0 = X0 ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ( 0 = X0 )
<~> ( $uminus(X0) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $uminus(X0) = X0 )
<=> ( 0 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $uminus(X0) = X0 )
<=> ( 0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uminus_equal) ).
tff(f29,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f19,f26,f22]) ).
tff(f19,plain,
( ( 0 = sK0 )
| ( sK0 = $uminus(sK0) ) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM891=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 09:15:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.55 % (20445)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 (2999ds/46Mi)
% 0.19/0.55 % (20425)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)
% 0.19/0.55 % (20446)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (20425)Instruction limit reached!
% 0.19/0.56 % (20425)------------------------------
% 0.19/0.56 % (20425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (20438)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 (2999ds/2Mi)
% 0.19/0.56 % (20437)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 (2999ds/50Mi)
% 0.19/0.56 % (20430)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 (2999ds/36Mi)
% 0.19/0.56 % (20438)Instruction limit reached!
% 0.19/0.56 % (20438)------------------------------
% 0.19/0.56 % (20438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (20438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (20438)Termination reason: Unknown
% 0.19/0.56 % (20438)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (20438)Memory used [KB]: 5373
% 0.19/0.56 % (20438)Time elapsed: 0.005 s
% 0.19/0.56 % (20438)Instructions burned: 2 (million)
% 0.19/0.56 % (20438)------------------------------
% 0.19/0.56 % (20438)------------------------------
% 0.19/0.58 % (20425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (20425)Termination reason: Unknown
% 0.19/0.58 % (20425)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (20425)Memory used [KB]: 5500
% 0.19/0.58 % (20425)Time elapsed: 0.131 s
% 0.19/0.58 % (20425)Instructions burned: 9 (million)
% 0.19/0.58 % (20425)------------------------------
% 0.19/0.58 % (20425)------------------------------
% 0.19/0.59 % (20430)First to succeed.
% 0.19/0.59 % (20424)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)
% 0.19/0.59 % (20429)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)
% 0.19/0.59 % (20430)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Theorem for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.59 % (20430)------------------------------
% 1.78/0.59 % (20430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (20430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (20430)Termination reason: Refutation
% 1.78/0.59
% 1.78/0.59 % (20430)Memory used [KB]: 5628
% 1.78/0.59 % (20430)Time elapsed: 0.094 s
% 1.78/0.59 % (20430)Instructions burned: 9 (million)
% 1.78/0.59 % (20430)------------------------------
% 1.78/0.59 % (20430)------------------------------
% 1.78/0.59 % (20422)Success in time 0.238 s
%------------------------------------------------------------------------------