TSTP Solution File: ARI602_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI602_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 : 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 15:46:35 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 2 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 7 ~; 2 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 38 ( 16 atm; 0 fun; 12 num; 10 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 7 !; 3 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(pred_def_3,type,
sQ0_eqProxy: ( $int * $int ) > $o ).
tff(f40,plain,
$false,
inference(evaluation,[],[f35]) ).
tff(f35,plain,
~ $less(4,5),
inference(resolution,[],[f17,f18]) ).
tff(f18,plain,
! [X0: $int] : $less(X0,f(X0)),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X0: $int] : $less(X0,f(X0))
& ! [X1: $int] :
( ~ $less(X1,f(5))
| ~ $less(4,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ? [X1: $int] :
( $less(X1,f(5))
& $less(4,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fX_gt_X_implies_exist_ineq) ).
tff(f17,plain,
! [X1: $int] :
( ~ $less(X1,f(5))
| ~ $less(4,X1) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI602=1 : TPTP v8.1.0. Released v5.1.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:54:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (30356)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 (3000ds/59848Mi)
% 0.19/0.50 % (30376)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)
% 0.19/0.50 % (30359)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)
% 0.19/0.50 % (30380)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)
% 0.19/0.51 % (30359)Instruction limit reached!
% 0.19/0.51 % (30359)------------------------------
% 0.19/0.51 % (30359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30359)Termination reason: Unknown
% 0.19/0.51 % (30359)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (30359)Memory used [KB]: 5500
% 0.19/0.51 % (30359)Time elapsed: 0.101 s
% 0.19/0.51 % (30359)Instructions burned: 2 (million)
% 0.19/0.51 % (30359)------------------------------
% 0.19/0.51 % (30359)------------------------------
% 0.19/0.51 % (30364)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
% 0.19/0.51 % (30376)Instruction limit reached!
% 0.19/0.51 % (30376)------------------------------
% 0.19/0.51 % (30376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30376)Termination reason: Unknown
% 0.19/0.51 % (30376)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (30376)Memory used [KB]: 5373
% 0.19/0.51 % (30376)Time elapsed: 0.051 s
% 0.19/0.51 % (30376)Instructions burned: 2 (million)
% 0.19/0.51 % (30376)------------------------------
% 0.19/0.51 % (30376)------------------------------
% 0.19/0.51 % (30364)First to succeed.
% 0.19/0.51 % (30360)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)
% 0.19/0.51 % (30364)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (30364)------------------------------
% 0.19/0.51 % (30364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30364)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (30364)Memory used [KB]: 5373
% 0.19/0.51 % (30364)Time elapsed: 0.063 s
% 0.19/0.51 % (30364)Instructions burned: 2 (million)
% 0.19/0.51 % (30364)------------------------------
% 0.19/0.51 % (30364)------------------------------
% 0.19/0.51 % (30353)Success in time 0.158 s
%------------------------------------------------------------------------------