TSTP Solution File: ARI608_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI608_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 : n006.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 15:46:36 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 52 ( 21 ~; 6 |; 17 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 63 ( 44 atm; 0 fun; 0 num; 19 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 19 ( 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
b: $int ).
tff(func_def_3,type,
c: $int ).
tff(f94,plain,
$false,
inference(unit_resulting_resolution,[],[f23,f22,f24,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f24,plain,
$less(c,a),
inference(resolution,[],[f20,f21]) ).
tff(f21,plain,
$less(f(c),f(a)),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ~ $less(b,a)
& $less(b,c)
& $less(f(c),f(a))
& ! [X0: $int,X1: $int] :
( $less(X1,X0)
| ~ $less(f(X1),f(X0)) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
( ~ $less(b,a)
& $less(b,c)
& $less(f(c),f(a))
& ! [X1: $int,X0: $int] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( $less(f(c),f(a))
& ~ $less(b,a)
& ! [X1: $int,X0: $int] :
( $less(X0,X1)
| ~ $less(f(X0),f(X1)) )
& $less(b,c) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ~ $less(b,a)
& ! [X1: $int,X0: $int] :
( ~ $less(X0,X1)
=> ~ $less(f(X0),f(X1)) )
& $less(b,c) )
=> ~ $less(f(c),f(a)) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( $less(b,c)
& ! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
=> ~ $less(f(X1),f(X0)) )
& ~ $less(b,a) )
=> ~ $less(f(c),f(a)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $less(b,c)
& ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
& $lesseq(a,b) )
=> $lesseq(f(a),f(c)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $less(b,c)
& ! [X1: $int,X0: $int] :
( $lesseq(X0,X1)
=> $lesseq(f(X0),f(X1)) )
& $lesseq(a,b) )
=> $lesseq(f(a),f(c)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_mon_implies_trans) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ~ $less(f(X1),f(X0))
| $less(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f22,plain,
$less(b,c),
inference(cnf_transformation,[],[f19]) ).
tff(f23,plain,
~ $less(b,a),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ARI608=1 : TPTP v8.1.0. Released v5.1.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:50:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (13893)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.18/0.48 % (13895)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)
% 0.18/0.48 % (13917)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)
% 0.18/0.48 % (13895)First to succeed.
% 0.18/0.49 % (13909)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)
% 0.18/0.49 % (13906)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.49 % (13915)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.49 % (13915)Refutation not found, incomplete strategy% (13915)------------------------------
% 0.18/0.49 % (13915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (13895)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (13895)------------------------------
% 0.18/0.49 % (13895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (13895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (13895)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (13895)Memory used [KB]: 5500
% 0.18/0.49 % (13895)Time elapsed: 0.098 s
% 0.18/0.49 % (13895)Instructions burned: 7 (million)
% 0.18/0.49 % (13895)------------------------------
% 0.18/0.49 % (13895)------------------------------
% 0.18/0.49 % (13890)Success in time 0.155 s
%------------------------------------------------------------------------------