TSTP Solution File: ARI570_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI570_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 : n023.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 15:46:27 EDT 2022
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 7 unt; 2 typ; 0 def)
% Number of atoms : 24 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 2 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 61 ( 22 atm; 12 fun; 12 num; 15 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 : 5 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 11 !; 4 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(f31,plain,
$false,
inference(evaluation,[],[f30]) ).
tff(f30,plain,
~ $less(0,3),
inference(cancellation,[],[f29]) ).
tff(f29,plain,
~ $less(sK1,$sum(3,sK1)),
inference(unit_resulting_resolution,[],[f19,f21,f9]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f21,plain,
~ $less(sK0,$sum(3,sK1)),
inference(forward_demodulation,[],[f20,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f20,plain,
~ $less(sK0,$sum(sK1,3)),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ~ $less(sK0,$sum(sK1,3))
& $less(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,3))
& $less(X0,X1) )
=> ( ~ $less(sK0,$sum(sK1,3))
& $less(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( ~ $less(X0,$sum(X1,3))
& $less(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X0: $int,X1: $int] :
( $less(X0,X1)
=> $less(X0,$sum(X1,3)) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
( $less(X1,X0)
=> $less(X1,$sum(X0,3)) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
( $less(X1,X0)
=> $less(X1,$sum(X0,3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',weakening_ineq) ).
tff(f19,plain,
$less(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ARI570=1 : TPTP v8.1.0. Released v5.1.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 29 16:09:20 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (10132)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 (2999ds/26Mi)
% 0.16/0.48 % (10133)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 (2999ds/2Mi)
% 0.16/0.48 % (10141)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 (2999ds/49Mi)
% 0.16/0.48 % (10135)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.16/0.49 % (10136)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49 % (10136)Instruction limit reached!
% 0.16/0.49 % (10136)------------------------------
% 0.16/0.49 % (10136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (10136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (10136)Termination reason: Unknown
% 0.16/0.49 % (10136)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (10136)Memory used [KB]: 5500
% 0.16/0.49 % (10136)Time elapsed: 0.108 s
% 0.16/0.49 % (10136)Instructions burned: 2 (million)
% 0.16/0.49 % (10136)------------------------------
% 0.16/0.49 % (10136)------------------------------
% 0.16/0.49 % (10133)Instruction limit reached!
% 0.16/0.49 % (10133)------------------------------
% 0.16/0.49 % (10133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (10133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (10133)Termination reason: Unknown
% 0.16/0.49 % (10133)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (10133)Memory used [KB]: 5373
% 0.16/0.49 % (10133)Time elapsed: 0.003 s
% 0.16/0.49 % (10133)Instructions burned: 2 (million)
% 0.16/0.49 % (10133)------------------------------
% 0.16/0.49 % (10133)------------------------------
% 0.16/0.49 % (10149)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.16/0.49 % (10146)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.16/0.49 % (10149)First to succeed.
% 0.16/0.49 % (10129)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.50 % (10145)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)
% 0.16/0.50 % (10145)Refutation not found, incomplete strategy% (10145)------------------------------
% 0.16/0.50 % (10145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (10137)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.16/0.50 % (10138)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)
% 0.16/0.50 % (10145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (10145)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.50
% 0.16/0.50 % (10145)Memory used [KB]: 5373
% 0.16/0.50 % (10145)Time elapsed: 0.111 s
% 0.16/0.50 % (10145)Instructions burned: 2 (million)
% 0.16/0.50 % (10145)------------------------------
% 0.16/0.50 % (10145)------------------------------
% 0.16/0.50 % (10153)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=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.16/0.50 % (10127)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 (2999ds/2Mi)
% 0.16/0.50 % (10149)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (10149)------------------------------
% 0.16/0.50 % (10149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (10149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (10149)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (10149)Memory used [KB]: 5500
% 0.16/0.50 % (10149)Time elapsed: 0.116 s
% 0.16/0.50 % (10149)Instructions burned: 2 (million)
% 0.16/0.50 % (10149)------------------------------
% 0.16/0.50 % (10149)------------------------------
% 0.16/0.50 % (10123)Success in time 0.175 s
%------------------------------------------------------------------------------