TSTP Solution File: ARI375_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI375_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 : n015.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 15:45:59 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 17 unt; 1 typ; 0 def)
% Number of atoms : 25 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 4 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 66 ( 12 atm; 15 fun; 14 num; 25 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ0_eqProxy: ( $real * $real ) > $o ).
tff(f123,plain,
$false,
inference(evaluation,[],[f111]) ).
tff(f111,plain,
$less(12.8,0.0),
inference(unit_resulting_resolution,[],[f29,f22,f71,f28]) ).
tff(f28,plain,
! [X2: $real,X3: $real,X0: $real,X1: $real] :
( ~ sQ0_eqProxy(X2,X3)
| $less(X1,X3)
| ~ sQ0_eqProxy(X0,X1)
| ~ $less(X0,X2) ),
inference(equality_proxy_axiom,[],[f17]) ).
tff(f17,plain,
! [X0: $real,X1: $real] :
( sQ0_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f71,plain,
! [X0: $real] : $less(12.8,$sum(1.0,X0)),
inference(unit_resulting_resolution,[],[f32,f20,f58,f28]) ).
tff(f58,plain,
! [X0: $real] : $less(12.8,$sum(X0,1.0)),
inference(unit_resulting_resolution,[],[f16,f13]) ).
tff(f13,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1.0))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f16,plain,
! [X0: $real] : ~ $less(X0,12.8),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: $real] : ~ $less(X0,12.8),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ? [X0: $real] : $less(X0,12.8),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $greater(12.8,X0),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $real] : $greater(12.8,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_greater_problem_4) ).
tff(f20,plain,
! [X0: $real,X1: $real] : sQ0_eqProxy($sum(X0,X1),$sum(X1,X0)),
inference(equality_proxy_replacement,[],[f4,f17]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f32,plain,
! [X0: $real] : sQ0_eqProxy(X0,X0),
inference(evaluation,[],[f19]) ).
tff(f19,plain,
! [X0: $real] : sQ0_eqProxy($uminus($uminus(X0)),X0),
inference(equality_proxy_replacement,[],[f14,f17]) ).
tff(f14,plain,
! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
tff(f22,plain,
! [X0: $real] : sQ0_eqProxy($sum(X0,$uminus(X0)),0.0),
inference(equality_proxy_replacement,[],[f8,f17]) ).
tff(f8,plain,
! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
introduced(theory_axiom_145,[]) ).
tff(f29,plain,
! [X0: $real] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI375=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_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 15:47:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (28524)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)
% 0.20/0.49 % (28535)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)
% 0.20/0.50 % (28549)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.50 % (28544)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)
% 0.20/0.50 % (28524)Refutation not found, incomplete strategy% (28524)------------------------------
% 0.20/0.50 % (28524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28524)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (28524)Memory used [KB]: 5373
% 0.20/0.51 % (28524)Time elapsed: 0.104 s
% 0.20/0.51 % (28524)Instructions burned: 2 (million)
% 0.20/0.51 % (28524)------------------------------
% 0.20/0.51 % (28524)------------------------------
% 0.20/0.51 % (28541)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)
% 0.20/0.51 % (28535)Instruction limit reached!
% 0.20/0.51 % (28535)------------------------------
% 0.20/0.51 % (28535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28535)Termination reason: Unknown
% 0.20/0.51 % (28535)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (28535)Memory used [KB]: 5373
% 0.20/0.51 % (28535)Time elapsed: 0.105 s
% 0.20/0.51 % (28535)Instructions burned: 2 (million)
% 0.20/0.51 % (28535)------------------------------
% 0.20/0.51 % (28535)------------------------------
% 0.20/0.51 % (28534)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)
% 0.20/0.51 % (28541)Refutation not found, incomplete strategy% (28541)------------------------------
% 0.20/0.51 % (28541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28549)First to succeed.
% 0.20/0.51 % (28541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28541)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (28541)Memory used [KB]: 5373
% 0.20/0.51 % (28541)Time elapsed: 0.105 s
% 0.20/0.51 % (28541)Instructions burned: 1 (million)
% 0.20/0.51 % (28541)------------------------------
% 0.20/0.51 % (28541)------------------------------
% 0.20/0.51 % (28533)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.51 % (28534)Instruction limit reached!
% 0.20/0.51 % (28534)------------------------------
% 0.20/0.51 % (28534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28534)Termination reason: Unknown
% 0.20/0.51 % (28534)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (28534)Memory used [KB]: 5500
% 0.20/0.51 % (28534)Time elapsed: 0.109 s
% 0.20/0.51 % (28534)Instructions burned: 4 (million)
% 0.20/0.51 % (28534)------------------------------
% 0.20/0.51 % (28534)------------------------------
% 0.20/0.51 % (28549)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (28549)------------------------------
% 0.20/0.51 % (28549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28549)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (28549)Memory used [KB]: 5500
% 0.20/0.51 % (28549)Time elapsed: 0.108 s
% 0.20/0.51 % (28549)Instructions burned: 4 (million)
% 0.20/0.51 % (28549)------------------------------
% 0.20/0.51 % (28549)------------------------------
% 0.20/0.51 % (28522)Success in time 0.16 s
%------------------------------------------------------------------------------