TSTP Solution File: ARI106_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI106_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 : n011.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 15:45:27 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 59 ( 0 atm; 14 fun; 32 num; 13 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(f41,plain,
$false,
inference(evaluation,[],[f34]) ).
tff(f34,plain,
6 != $product(2,3),
inference(unit_resulting_resolution,[],[f25,f33]) ).
tff(f33,plain,
! [X3: $int] :
( ( 6 != $product(2,X3) )
| ( sK0 = X3 ) ),
inference(evaluation,[],[f30]) ).
tff(f30,plain,
! [X3: $int] :
( ( sK0 = X3 )
| ( 6 != $product(2,X3) )
| ( 2 = 0 ) ),
inference(superposition,[],[f26,f24]) ).
tff(f24,plain,
6 = $product(2,sK0),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ( 3 != sK0 )
& ( 6 = $product(2,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
tff(f22,plain,
( ? [X0: $int] :
( ( 3 != X0 )
& ( $product(2,X0) = 6 ) )
=> ( ( 3 != sK0 )
& ( 6 = $product(2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: $int] :
( ( 3 != X0 )
& ( $product(2,X0) = 6 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $product(2,X0) = 6 )
=> ( 3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $product(2,X0) = 6 )
=> ( 3 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2_only_3_6) ).
tff(f26,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( $product(X0,X3) != $product(X0,X2) )
| ( 0 = X0 )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( 0 = X0 )
| ( X2 = X3 )
| ( $product(X0,X2) != X1 )
| ( $product(X0,X3) != X1 ) ),
introduced(theory_axiom_156,[]) ).
tff(f25,plain,
3 != sK0,
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI106=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:19:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (3997)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)
% 0.21/0.51 % (3995)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.21/0.51 % (3985)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)
% 0.21/0.51 % (3990)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.21/0.51 % (3997)Instruction limit reached!
% 0.21/0.51 % (3997)------------------------------
% 0.21/0.51 % (3997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (3996)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)
% 0.21/0.52 % (3997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (3997)Termination reason: Unknown
% 0.21/0.52 % (3997)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (3997)Memory used [KB]: 895
% 0.21/0.52 % (3997)Time elapsed: 0.004 s
% 0.21/0.52 % (3997)Instructions burned: 2 (million)
% 0.21/0.52 % (3997)------------------------------
% 0.21/0.52 % (3997)------------------------------
% 0.21/0.52 % (3987)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)
% 0.21/0.52 % (3996)Instruction limit reached!
% 0.21/0.52 % (3996)------------------------------
% 0.21/0.52 % (3996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (3996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (3996)Termination reason: Unknown
% 0.21/0.52 % (3996)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (3996)Memory used [KB]: 5500
% 0.21/0.52 % (3996)Time elapsed: 0.106 s
% 0.21/0.52 % (3996)Instructions burned: 4 (million)
% 0.21/0.52 % (3996)------------------------------
% 0.21/0.52 % (3996)------------------------------
% 0.21/0.52 % (4000)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)
% 0.21/0.52 % (4000)Instruction limit reached!
% 0.21/0.52 % (4000)------------------------------
% 0.21/0.52 % (4000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (4000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (4000)Termination reason: Unknown
% 0.21/0.52 % (4000)Termination phase: Including theory axioms
% 0.21/0.52
% 0.21/0.52 % (4000)Memory used [KB]: 895
% 0.21/0.52 % (4000)Time elapsed: 0.002 s
% 0.21/0.52 % (4000)Instructions burned: 2 (million)
% 0.21/0.52 % (4000)------------------------------
% 0.21/0.52 % (4000)------------------------------
% 0.21/0.52 % (4012)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.52 % (3990)First to succeed.
% 0.21/0.52 % (3988)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)
% 0.21/0.52 % (3989)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)
% 0.21/0.52 % (3986)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)
% 0.21/0.52 % (3990)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (3990)------------------------------
% 0.21/0.52 % (3990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (3990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (3990)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (3990)Memory used [KB]: 5500
% 0.21/0.52 % (3990)Time elapsed: 0.116 s
% 0.21/0.52 % (3990)Instructions burned: 3 (million)
% 0.21/0.52 % (3990)------------------------------
% 0.21/0.52 % (3990)------------------------------
% 0.21/0.52 % (3982)Success in time 0.167 s
%------------------------------------------------------------------------------