TSTP Solution File: ARI580_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI580_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n001.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 15:46:30 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 30 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 11 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 78 ( 28 atm; 15 fun; 13 num; 22 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 18 !; 4 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f44,plain,
$false,
inference(subsumption_resolution,[],[f42,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f42,plain,
$less(sK0,sK0),
inference(evaluation,[],[f33]) ).
tff(f33,plain,
( $less(sK0,sK0)
| ~ $less(1,3) ),
inference(resolution,[],[f29,f12]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_152,[]) ).
tff(f29,plain,
! [X0: $int] :
( ~ $less(sK0,$sum(sK0,X0))
| ~ $less(X0,3) ),
inference(superposition,[],[f24,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f24,plain,
! [X5: $int] :
( ~ $less(sK0,$sum(X5,sK0))
| ~ $less(X5,3) ),
inference(resolution,[],[f19,f11]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f19,plain,
! [X1: $int] :
( ~ $less(X1,$sum(3,sK0))
| ~ $less(sK0,X1) ),
inference(forward_demodulation,[],[f18,f3]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(sK0,X1)
| ~ $less(X1,$sum(sK0,3)) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(sK0,X1)
| ~ $less(X1,$sum(sK0,3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,3)) )
=> ! [X1: $int] :
( ~ $less(sK0,X1)
| ~ $less(X1,$sum(sK0,3)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,3)) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( $less(X1,$sum(X0,3))
& $less(X0,X1) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( $less(X1,$sum(X0,3))
& $less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ARI580=1 : TPTP v8.1.0. Released v5.1.0.
% 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
% 0.14/0.34 % Computer : n001.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 16:10:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (4511)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.49 % (4511)Refutation not found, incomplete strategy% (4511)------------------------------
% 0.20/0.49 % (4511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (4526)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.49 % (4511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (4511)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (4511)Memory used [KB]: 5373
% 0.20/0.49 % (4511)Time elapsed: 0.088 s
% 0.20/0.49 % (4511)Instructions burned: 1 (million)
% 0.20/0.49 % (4511)------------------------------
% 0.20/0.49 % (4511)------------------------------
% 0.20/0.50 % (4512)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)
% 0.20/0.50 % (4518)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.50 % (4518)First to succeed.
% 0.20/0.50 % (4526)Also succeeded, but the first one will report.
% 0.20/0.51 % (4518)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 % (4518)------------------------------
% 0.20/0.51 % (4518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (4518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (4518)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (4518)Memory used [KB]: 1023
% 0.20/0.51 % (4518)Time elapsed: 0.100 s
% 0.20/0.51 % (4518)Instructions burned: 3 (million)
% 0.20/0.51 % (4518)------------------------------
% 0.20/0.51 % (4518)------------------------------
% 0.20/0.51 % (4497)Success in time 0.156 s
%------------------------------------------------------------------------------