TSTP Solution File: ARI449_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI449_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 : n001.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 15:46:10 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 63 ( 0 atm; 15 fun; 35 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 : 8 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(f57,plain,
$false,
inference(trivial_inequality_removal,[],[f56]) ).
tff(f56,plain,
4.0 != 4.0,
inference(superposition,[],[f24,f44]) ).
tff(f44,plain,
4.0 = sK0,
inference(evaluation,[],[f43]) ).
tff(f43,plain,
sK0 = $product(29.0,$quotient(1.0,7.25)),
inference(gaussian_variable_elimination,[],[f42]) ).
tff(f42,plain,
! [X6: $real] :
( ( 29.0 != $product(7.25,X6) )
| ( sK0 = X6 ) ),
inference(evaluation,[],[f36]) ).
tff(f36,plain,
! [X6: $real] :
( ( 7.25 = 0.0 )
| ( 29.0 != $product(7.25,X6) )
| ( sK0 = X6 ) ),
inference(superposition,[],[f25,f23]) ).
tff(f23,plain,
29.0 = $product(7.25,sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 4.0 != sK0 )
& ( 29.0 = $product(7.25,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $real] :
( ( 4.0 != X0 )
& ( $product(7.25,X0) = 29.0 ) )
=> ( ( 4.0 != sK0 )
& ( 29.0 = $product(7.25,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $real] :
( ( 4.0 != X0 )
& ( $product(7.25,X0) = 29.0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $product(7.25,X0) = 29.0 )
=> ( 4.0 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $product(7.25,X0) = 29.0 )
=> ( 4.0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_product_problem_14) ).
tff(f25,plain,
! [X2: $real,X3: $real,X0: $real] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( X2 = X3 )
| ( 0.0 = X0 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
! [X2: $real,X3: $real,X0: $real,X1: $real] :
( ( X2 = X3 )
| ( $product(X0,X3) != X1 )
| ( 0.0 = X0 )
| ( $product(X0,X2) != X1 ) ),
introduced(theory_axiom_156,[]) ).
tff(f24,plain,
4.0 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI449=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 16:02:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (30405)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 (3000ds/46Mi)
% 0.19/0.50 % (30397)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 (3000ds/50Mi)
% 0.19/0.50 % (30391)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 % (30397)First to succeed.
% 0.19/0.51 % (30387)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 % (30389)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 (3000ds/32Mi)
% 0.19/0.51 % (30397)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 % (30397)------------------------------
% 0.19/0.51 % (30397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30397)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (30397)Memory used [KB]: 5500
% 0.19/0.51 % (30397)Time elapsed: 0.059 s
% 0.19/0.51 % (30397)Instructions burned: 3 (million)
% 0.19/0.51 % (30397)------------------------------
% 0.19/0.51 % (30397)------------------------------
% 0.19/0.51 % (30382)Success in time 0.167 s
%------------------------------------------------------------------------------