TSTP Solution File: ARI082_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI082_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 : n021.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 15:45:23 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 15 unt; 4 typ; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 49 ( 12 ~; 0 |; 33 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 149 ( 0 atm; 47 fun; 72 num; 30 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 : 11 ( 4 usr; 10 con; 0-2 aty)
% Number of variables : 30 ( 14 !; 16 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(func_def_8,type,
sK1: $int ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int ).
tff(f35,plain,
$false,
inference(evaluation,[],[f33]) ).
tff(f33,plain,
$sum(6,5) != 11,
inference(backward_demodulation,[],[f32,f26]) ).
tff(f26,plain,
5 = sK1,
inference(evaluation,[],[f25]) ).
tff(f25,plain,
$sum(2,3) = sK1,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( $sum(2,3) = sK1 )
& ( $sum(3,6) = sK0 )
& ( $sum(sK1,6) = sK3 )
& ( $sum(2,sK0) = sK2 )
& ( sK2 != sK3 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( $sum(2,3) = X1 )
& ( $sum(3,6) = X0 )
& ( $sum(X1,6) = X3 )
& ( $sum(2,X0) = X2 )
& ( X2 != X3 ) )
=> ( ( $sum(2,3) = sK1 )
& ( $sum(3,6) = sK0 )
& ( $sum(sK1,6) = sK3 )
& ( $sum(2,sK0) = sK2 )
& ( sK2 != sK3 ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( $sum(2,3) = X1 )
& ( $sum(3,6) = X0 )
& ( $sum(X1,6) = X3 )
& ( $sum(2,X0) = X2 )
& ( X2 != X3 ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X3: $int,X0: $int,X1: $int,X2: $int] :
( ( $sum(2,3) = X0 )
& ( $sum(3,6) = X3 )
& ( $sum(X0,6) = X2 )
& ( $sum(2,X3) = X1 )
& ( X1 != X2 ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X2: $int,X3: $int,X1: $int,X0: $int] :
( ( X1 != X2 )
& ( $sum(3,6) = X3 )
& ( $sum(2,X3) = X1 )
& ( $sum(X0,6) = X2 )
& ( $sum(2,3) = X0 ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X2: $int,X3: $int,X1: $int,X0: $int] :
( ( ( $sum(3,6) = X3 )
& ( $sum(2,X3) = X1 )
& ( $sum(X0,6) = X2 )
& ( $sum(2,3) = X0 ) )
=> ( X1 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X3: $int,X1: $int,X2: $int] :
( ( ( $sum(2,X2) = X3 )
& ( $sum(3,6) = X2 )
& ( $sum(X0,6) = X1 )
& ( $sum(2,3) = X0 ) )
=> ( X1 = X3 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X3: $int,X1: $int,X2: $int] :
( ( ( $sum(2,X2) = X3 )
& ( $sum(3,6) = X2 )
& ( $sum(X0,6) = X1 )
& ( $sum(2,3) = X0 ) )
=> ( X1 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum) ).
tff(f32,plain,
11 != $sum(6,sK1),
inference(backward_demodulation,[],[f29,f31]) ).
tff(f31,plain,
sK2 = 11,
inference(evaluation,[],[f30]) ).
tff(f30,plain,
sK2 = $sum(2,9),
inference(forward_demodulation,[],[f22,f27]) ).
tff(f27,plain,
sK0 = 9,
inference(evaluation,[],[f24]) ).
tff(f24,plain,
$sum(3,6) = sK0,
inference(cnf_transformation,[],[f20]) ).
tff(f22,plain,
$sum(2,sK0) = sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f29,plain,
sK2 != $sum(6,sK1),
inference(backward_demodulation,[],[f21,f28]) ).
tff(f28,plain,
$sum(6,sK1) = sK3,
inference(forward_demodulation,[],[f23,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f23,plain,
$sum(sK1,6) = sK3,
inference(cnf_transformation,[],[f20]) ).
tff(f21,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ARI082=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 15:17:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (31975)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.50 % (31966)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 (3000ds/34Mi)
% 0.20/0.50 % (31975)Instruction limit reached!
% 0.20/0.50 % (31975)------------------------------
% 0.20/0.50 % (31975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (31967)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)
% 0.20/0.51 % (31983)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/49Mi)
% 0.20/0.51 % (31975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (31975)Termination reason: Unknown
% 0.20/0.51 % (31975)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (31975)Memory used [KB]: 5373
% 0.20/0.51 % (31975)Time elapsed: 0.102 s
% 0.20/0.51 % (31975)Instructions burned: 2 (million)
% 0.20/0.51 % (31975)------------------------------
% 0.20/0.51 % (31975)------------------------------
% 0.20/0.51 % (31966)First to succeed.
% 0.20/0.51 % (31976)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.20/0.51 % (31966)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (31966)------------------------------
% 0.20/0.51 % (31966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (31966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (31966)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (31966)Memory used [KB]: 5500
% 0.20/0.51 % (31966)Time elapsed: 0.003 s
% 0.20/0.51 % (31966)Instructions burned: 2 (million)
% 0.20/0.51 % (31966)------------------------------
% 0.20/0.51 % (31966)------------------------------
% 0.20/0.51 % (31964)Success in time 0.161 s
%------------------------------------------------------------------------------