TSTP Solution File: ARI163_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI163_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 : 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 : Wed Aug 31 15:45:31 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 56 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 12 |; 12 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 96 ( 27 atm; 12 fun; 48 num; 9 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 6 !; 3 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(f90,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f47,f89]) ).
tff(f89,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f88]) ).
tff(f88,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f87,f19]) ).
tff(f19,plain,
$less(sK0,1),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( $less(-1,sK0)
& ( 21 != $sum(21,sK0) )
& $less(sK0,1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( $less(-1,X0)
& ( 21 != $sum(21,X0) )
& $less(X0,1) )
=> ( $less(-1,sK0)
& ( 21 != $sum(21,sK0) )
& $less(sK0,1) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( $less(-1,X0)
& ( 21 != $sum(21,X0) )
& $less(X0,1) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ( 21 != $sum(21,X0) )
& $less(-1,X0)
& $less(X0,1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $less(-1,X0)
& $less(X0,1) )
=> ( 21 = $sum(21,X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $less(-1,X0)
& $less(X0,1) )
=> ( 21 = $sum(21,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_something_0_samething) ).
tff(f87,plain,
( ~ $less(sK0,1)
| ~ spl1_1 ),
inference(evaluation,[],[f84]) ).
tff(f84,plain,
( ~ $less(sK0,$sum(0,1))
| ~ spl1_1 ),
inference(resolution,[],[f35,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_166,[]) ).
tff(f35,plain,
( $less(0,sK0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f33,plain,
( spl1_1
<=> $less(0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f47,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f46]) ).
tff(f46,plain,
( $false
| ~ spl1_2 ),
inference(evaluation,[],[f45]) ).
tff(f45,plain,
( ( 21 != $sum(21,0) )
| ~ spl1_2 ),
inference(forward_demodulation,[],[f20,f39]) ).
tff(f39,plain,
( ( 0 = sK0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f37,plain,
( spl1_2
<=> ( 0 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f20,plain,
21 != $sum(21,sK0),
inference(cnf_transformation,[],[f18]) ).
tff(f41,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f31,f37,f33]) ).
tff(f31,plain,
( ( 0 = sK0 )
| $less(0,sK0) ),
inference(resolution,[],[f29,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f29,plain,
~ $less(sK0,0),
inference(evaluation,[],[f26]) ).
tff(f26,plain,
~ $less(sK0,$sum(-1,1)),
inference(resolution,[],[f21,f14]) ).
tff(f21,plain,
$less(-1,sK0),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ARI163=1 : TPTP v8.1.0. Released v5.0.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 29 15:26:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (29967)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 (3000ds/2Mi)
% 0.18/0.48 % (29967)Instruction limit reached!
% 0.18/0.48 % (29967)------------------------------
% 0.18/0.48 % (29967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (29967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (29967)Termination reason: Unknown
% 0.18/0.48 % (29967)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (29967)Memory used [KB]: 895
% 0.18/0.48 % (29967)Time elapsed: 0.004 s
% 0.18/0.48 % (29967)Instructions burned: 2 (million)
% 0.18/0.48 % (29967)------------------------------
% 0.18/0.48 % (29967)------------------------------
% 0.18/0.50 % (29969)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.18/0.51 % (29975)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.18/0.51 % (29983)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.52 % (29975)First to succeed.
% 0.18/0.52 % (29983)Instruction limit reached!
% 0.18/0.52 % (29983)------------------------------
% 0.18/0.52 % (29983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (29983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (29983)Termination reason: Unknown
% 0.18/0.52 % (29983)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (29983)Memory used [KB]: 5373
% 0.18/0.52 % (29983)Time elapsed: 0.126 s
% 0.18/0.52 % (29983)Instructions burned: 2 (million)
% 0.18/0.52 % (29983)------------------------------
% 0.18/0.52 % (29983)------------------------------
% 0.18/0.52 % (29968)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 (3000ds/37Mi)
% 0.18/0.52 % (29975)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (29975)------------------------------
% 0.18/0.52 % (29975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (29975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (29975)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (29975)Memory used [KB]: 5500
% 0.18/0.52 % (29975)Time elapsed: 0.136 s
% 0.18/0.52 % (29975)Instructions burned: 3 (million)
% 0.18/0.52 % (29975)------------------------------
% 0.18/0.52 % (29975)------------------------------
% 0.18/0.52 % (29963)Success in time 0.188 s
%------------------------------------------------------------------------------