TSTP Solution File: NUM894_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM894_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_sat --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 18:07:08 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 6 unt; 2 typ; 0 def)
% Number of atoms : 26 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 2 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 68 ( 24 atm; 14 fun; 12 num; 18 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 12 !; 6 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(f108,plain,
$false,
inference(subsumption_resolution,[],[f101,f20]) ).
tff(f20,plain,
$less(sK1,sK0),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( $less(sK0,$sum(sK1,1))
& $less(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
& $less(X1,X0) )
=> ( $less(sK0,$sum(sK1,1))
& $less(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
& $less(X1,X0) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
? [X1: $int,X0: $int] :
( $less(X1,$sum(X0,1))
& $less(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X1: $int,X0: $int] :
( $less(X1,$sum(X0,1))
=> ~ $less(X0,X1) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
=> $lesseq(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
=> $lesseq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_successor) ).
tff(f101,plain,
~ $less(sK1,sK0),
inference(resolution,[],[f64,f26]) ).
tff(f26,plain,
$less(sK0,$sum(1,sK1)),
inference(backward_demodulation,[],[f21,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f21,plain,
$less(sK0,$sum(sK1,1)),
inference(cnf_transformation,[],[f19]) ).
tff(f64,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f15,f4]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_166,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM894=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n019.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 : Tue Aug 30 09:15:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (1964)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.18/0.49 % (1973)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.49 % (1973)Instruction limit reached!
% 0.18/0.49 % (1973)------------------------------
% 0.18/0.49 % (1973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (1973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (1973)Termination reason: Unknown
% 0.18/0.49 % (1973)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (1973)Memory used [KB]: 5373
% 0.18/0.49 % (1973)Time elapsed: 0.094 s
% 0.18/0.49 % (1973)Instructions burned: 2 (million)
% 0.18/0.49 % (1973)------------------------------
% 0.18/0.49 % (1973)------------------------------
% 0.18/0.49 % (1965)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.49 % (1975)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.49 % (1964)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.49 % (1964)Terminated due to inappropriate strategy.
% 0.18/0.49 % (1964)------------------------------
% 0.18/0.49 % (1964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (1964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (1964)Termination reason: Inappropriate
% 0.18/0.49
% 0.18/0.49 % (1964)Memory used [KB]: 895
% 0.18/0.49 % (1964)Time elapsed: 0.002 s
% 0.18/0.49 % (1964)Instructions burned: 1 (million)
% 0.18/0.49 % (1964)------------------------------
% 0.18/0.49 % (1964)------------------------------
% 0.18/0.49 % (1967)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.50 % (1982)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.50 % (1989)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.18/0.50 % (1982)First to succeed.
% 0.18/0.50 % (1974)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.50 % (1982)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (1982)------------------------------
% 0.18/0.50 % (1982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (1982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (1982)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (1982)Memory used [KB]: 5373
% 0.18/0.50 % (1982)Time elapsed: 0.111 s
% 0.18/0.50 % (1982)Instructions burned: 4 (million)
% 0.18/0.50 % (1982)------------------------------
% 0.18/0.50 % (1982)------------------------------
% 0.18/0.50 % (1963)Success in time 0.158 s
%------------------------------------------------------------------------------