TSTP Solution File: ARI186_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI186_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_uns --cores 0 -t %d %s
% Computer : n013.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 15:45:36 EDT 2022
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 2 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 112 ( 0 atm; 12 fun; 86 num; 14 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
g: ( $int * $int ) > $int ).
tff(f61,plain,
$false,
inference(trivial_inequality_removal,[],[f58]) ).
tff(f58,plain,
g(3,2) != g(3,2),
inference(superposition,[],[f30,f36]) ).
tff(f36,plain,
g(3,3) = g(3,2),
inference(evaluation,[],[f35]) ).
tff(f35,plain,
g(3,3) = g(3,$sum(4,$uminus(2))),
inference(gaussian_variable_elimination,[],[f26]) ).
tff(f26,plain,
! [X0: $int] :
( ( 4 != $sum(X0,2) )
| ( g(3,3) = g(3,X0) ) ),
inference(constrained_superposition,[],[f18,f19]) ).
tff(f19,plain,
g(3,3) = g(3,4),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( g(3,2) != g(3,5) )
& ( g(3,3) = g(3,4) )
& ! [X0: $int,X1: $int] : ( g(X1,$sum(X0,2)) = g(X1,X0) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ( g(3,2) != g(3,5) )
& ( g(3,3) = g(3,4) )
& ! [X0: $int,X1: $int] : ( g(X1,$sum(X0,2)) = g(X1,X0) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ( ! [X0: $int,X1: $int] : ( g(X1,$sum(X0,2)) = g(X1,X0) )
=> ( ( g(3,3) = g(3,4) )
=> ( g(3,2) = g(3,5) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X1: $int,X0: $int] : ( g(X0,X1) = g(X0,$sum(X1,2)) )
=> ( ( g(3,3) = g(3,4) )
=> ( g(3,2) = g(3,5) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X1: $int,X0: $int] : ( g(X0,X1) = g(X0,$sum(X1,2)) )
=> ( ( g(3,3) = g(3,4) )
=> ( g(3,2) = g(3,5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f18,plain,
! [X0: $int,X1: $int] : ( g(X1,$sum(X0,2)) = g(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f30,plain,
g(3,3) != g(3,2),
inference(evaluation,[],[f29]) ).
tff(f29,plain,
g(3,2) != g(3,$sum(5,$uminus(2))),
inference(gaussian_variable_elimination,[],[f27]) ).
tff(f27,plain,
! [X0: $int] :
( ( g(3,2) != g(3,X0) )
| ( 5 != $sum(X0,2) ) ),
inference(constrained_superposition,[],[f20,f18]) ).
tff(f20,plain,
g(3,2) != g(3,5),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ARI186=1 : TPTP v8.1.0. Released v5.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 29 15:21:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 % (11782)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.22/0.49 % (11795)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)
% 0.22/0.50 % (11795)Instruction limit reached!
% 0.22/0.50 % (11795)------------------------------
% 0.22/0.50 % (11795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (11782)Instruction limit reached!
% 0.22/0.51 % (11782)------------------------------
% 0.22/0.51 % (11782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (11795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (11795)Termination reason: Unknown
% 0.22/0.51 % (11795)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (11795)Memory used [KB]: 1151
% 0.22/0.51 % (11795)Time elapsed: 0.083 s
% 0.22/0.51 % (11795)Instructions burned: 15 (million)
% 0.22/0.51 % (11795)------------------------------
% 0.22/0.51 % (11795)------------------------------
% 0.22/0.51 % (11782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (11782)Termination reason: Unknown
% 0.22/0.51 % (11782)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (11782)Memory used [KB]: 5884
% 0.22/0.51 % (11782)Time elapsed: 0.084 s
% 0.22/0.51 % (11782)Instructions burned: 37 (million)
% 0.22/0.51 % (11782)------------------------------
% 0.22/0.51 % (11782)------------------------------
% 0.22/0.52 % (11787)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)
% 0.22/0.52 % (11787)Instruction limit reached!
% 0.22/0.52 % (11787)------------------------------
% 0.22/0.52 % (11787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52 % (11787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52 % (11787)Termination reason: Unknown
% 0.22/0.52 % (11787)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (11787)Memory used [KB]: 5373
% 0.22/0.52 % (11787)Time elapsed: 0.002 s
% 0.22/0.52 % (11787)Instructions burned: 2 (million)
% 0.22/0.52 % (11787)------------------------------
% 0.22/0.52 % (11787)------------------------------
% 0.22/0.53 % (11788)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.53 % (11786)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)
% 0.22/0.53 % (11775)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)
% 0.22/0.53 % (11801)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.22/0.53 % (11776)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.22/0.54 % (11793)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.54 % (11797)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)
% 0.22/0.54 % (11793)Refutation not found, incomplete strategy% (11793)------------------------------
% 0.22/0.54 % (11793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (11793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (11793)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (11793)Memory used [KB]: 5373
% 0.22/0.54 % (11793)Time elapsed: 0.136 s
% 0.22/0.54 % (11793)Instructions burned: 2 (million)
% 0.22/0.54 % (11793)------------------------------
% 0.22/0.54 % (11793)------------------------------
% 0.22/0.54 % (11779)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 (2999ds/37Mi)
% 0.22/0.54 % (11803)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)
% 0.22/0.54 % (11777)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)
% 0.22/0.54 % (11790)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)
% 0.22/0.54 % (11777)Instruction limit reached!
% 0.22/0.54 % (11777)------------------------------
% 0.22/0.54 % (11777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (11777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (11777)Termination reason: Unknown
% 0.22/0.54 % (11777)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (11777)Memory used [KB]: 5500
% 0.22/0.54 % (11777)Time elapsed: 0.136 s
% 0.22/0.54 % (11777)Instructions burned: 8 (million)
% 0.22/0.54 % (11777)------------------------------
% 0.22/0.54 % (11777)------------------------------
% 0.22/0.54 % (11780)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)
% 0.22/0.54 % (11804)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)
% 0.22/0.54 % (11778)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)
% 0.22/0.54 % (11789)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)
% 0.22/0.55 % (11778)Instruction limit reached!
% 0.22/0.55 % (11778)------------------------------
% 0.22/0.55 % (11778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (11778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (11778)Termination reason: Unknown
% 0.22/0.55 % (11778)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (11778)Memory used [KB]: 5500
% 0.22/0.55 % (11778)Time elapsed: 0.128 s
% 0.22/0.55 % (11778)Instructions burned: 2 (million)
% 0.22/0.55 % (11778)------------------------------
% 0.22/0.55 % (11778)------------------------------
% 0.22/0.55 % (11789)First to succeed.
% 0.22/0.55 % (11799)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.22/0.55 % (11788)Refutation not found, incomplete strategy% (11788)------------------------------
% 0.22/0.55 % (11788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (11788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (11788)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55 % (11788)Memory used [KB]: 5373
% 0.22/0.55 % (11788)Time elapsed: 0.119 s
% 0.22/0.55 % (11788)Instructions burned: 2 (million)
% 0.22/0.55 % (11788)------------------------------
% 0.22/0.55 % (11788)------------------------------
% 0.22/0.55 % (11786)Instruction limit reached!
% 0.22/0.55 % (11786)------------------------------
% 0.22/0.55 % (11786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (11786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (11786)Termination reason: Unknown
% 0.22/0.55 % (11786)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (11786)Memory used [KB]: 5500
% 0.22/0.55 % (11786)Time elapsed: 0.138 s
% 0.22/0.55 % (11786)Instructions burned: 4 (million)
% 0.22/0.55 % (11786)------------------------------
% 0.22/0.55 % (11786)------------------------------
% 0.22/0.55 % (11789)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Theorem for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (11789)------------------------------
% 0.22/0.55 % (11789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (11789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (11789)Termination reason: Refutation
% 0.22/0.55
% 0.22/0.55 % (11789)Memory used [KB]: 5500
% 0.22/0.55 % (11789)Time elapsed: 0.107 s
% 0.22/0.55 % (11789)Instructions burned: 2 (million)
% 0.22/0.55 % (11789)------------------------------
% 0.22/0.55 % (11789)------------------------------
% 0.22/0.55 % (11774)Success in time 0.176 s
%------------------------------------------------------------------------------