TSTP Solution File: ARI065_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI065_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 : n027.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 15:45:21 EDT 2022
% Result : Theorem 0.14s 0.49s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 13 unt; 1 typ; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 3 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 99 ( 0 atm; 38 fun; 47 num; 14 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 12 !; 2 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f155,plain,
$false,
inference(trivial_inequality_removal,[],[f153]) ).
tff(f153,plain,
3 != 3,
inference(superposition,[],[f18,f108]) ).
tff(f108,plain,
3 = sK0,
inference(evaluation,[],[f107]) ).
tff(f107,plain,
3 = $sum(0,$sum(0,$uminus($uminus(sK0)))),
inference(gaussian_variable_elimination,[],[f101]) ).
tff(f101,plain,
! [X2: $int] :
( ( 3 = $sum(0,X2) )
| ( 0 != $sum($uminus(sK0),X2) ) ),
inference(constrained_superposition,[],[f49,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f49,plain,
! [X0: $int] : ( $sum(0,X0) = $sum(3,$sum($uminus(sK0),X0)) ),
inference(superposition,[],[f4,f39]) ).
tff(f39,plain,
$sum(3,$uminus(sK0)) = 0,
inference(evaluation,[],[f38]) ).
tff(f38,plain,
$sum(5,$sum(-2,$uminus(sK0))) = 0,
inference(gaussian_variable_elimination,[],[f37]) ).
tff(f37,plain,
! [X3: $int] :
( ( -2 != $sum(sK0,X3) )
| ( $sum(5,X3) = 0 ) ),
inference(evaluation,[],[f34]) ).
tff(f34,plain,
! [X3: $int] :
( ( $sum(5,X3) = 0 )
| ( $uminus(2) != $sum(sK0,X3) ) ),
inference(constrained_superposition,[],[f23,f7]) ).
tff(f7,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_145,[]) ).
tff(f23,plain,
! [X0: $int] : ( $sum(5,X0) = $sum(2,$sum(sK0,X0)) ),
inference(superposition,[],[f4,f19]) ).
tff(f19,plain,
5 = $sum(2,sK0),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 5 = $sum(2,sK0) )
& ( 3 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
( ( $sum(2,X0) = 5 )
& ( 3 != X0 ) )
=> ( ( 5 = $sum(2,sK0) )
& ( 3 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
( ( $sum(2,X0) = 5 )
& ( 3 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $sum(2,X0) = 5 )
=> ( 3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $sum(2,X0) = 5 )
=> ( 3 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum2_only_3_5) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f18,plain,
3 != sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ARI065=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 15:35:00 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.46 % (16789)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)
% 0.14/0.47 % (16806)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)
% 0.14/0.47 % (16797)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)
% 0.14/0.47 % (16785)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 (3000ds/8Mi)
% 0.14/0.48 % (16799)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.48 % (16805)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)
% 0.14/0.48 % (16809)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.14/0.48 % (16799)Instruction limit reached!
% 0.14/0.48 % (16799)------------------------------
% 0.14/0.48 % (16799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (16790)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)
% 0.14/0.48 % (16797)First to succeed.
% 0.14/0.48 % (16799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (16799)Termination reason: Unknown
% 0.14/0.48 % (16799)Termination phase: Saturation
% 0.14/0.48
% 0.14/0.48 % (16799)Memory used [KB]: 5373
% 0.14/0.48 % (16799)Time elapsed: 0.004 s
% 0.14/0.48 % (16799)Instructions burned: 2 (million)
% 0.14/0.48 % (16799)------------------------------
% 0.14/0.48 % (16799)------------------------------
% 0.14/0.49 % (16786)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)
% 0.14/0.49 % (16797)Refutation found. Thanks to Tanya!
% 0.14/0.49 % SZS status Theorem for theBenchmark
% 0.14/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.49 % (16797)------------------------------
% 0.14/0.49 % (16797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (16797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (16797)Termination reason: Refutation
% 0.14/0.49
% 0.14/0.49 % (16797)Memory used [KB]: 5628
% 0.14/0.49 % (16797)Time elapsed: 0.071 s
% 0.14/0.49 % (16797)Instructions burned: 6 (million)
% 0.14/0.49 % (16797)------------------------------
% 0.14/0.49 % (16797)------------------------------
% 0.14/0.49 % (16782)Success in time 0.179 s
%------------------------------------------------------------------------------