TSTP Solution File: ARI431_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI431_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 : n029.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 15:46:07 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 1 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 77 ( 0 atm; 28 fun; 38 num; 11 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 : 9 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 9 !; 2 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(f71,plain,
$false,
inference(trivial_inequality_removal,[],[f70]) ).
tff(f70,plain,
16.05 != 16.05,
inference(superposition,[],[f18,f51]) ).
tff(f51,plain,
16.05 = sK0,
inference(evaluation,[],[f50]) ).
tff(f50,plain,
sK0 = $sum(4.0,$sum(0.0,$uminus(-12.05))),
inference(gaussian_variable_elimination,[],[f44]) ).
tff(f44,plain,
! [X2: $real] :
( ( sK0 = $sum(4.0,X2) )
| ( 0.0 != $sum(-12.05,X2) ) ),
inference(constrained_superposition,[],[f26,f6]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f26,plain,
! [X0: $real] : ( $sum(4.0,X0) = $sum(sK0,$sum(-12.05,X0)) ),
inference(superposition,[],[f5,f20]) ).
tff(f20,plain,
4.0 = $sum(sK0,-12.05),
inference(evaluation,[],[f19]) ).
tff(f19,plain,
4.0 = $sum(sK0,$uminus(12.05)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 4.0 = $sum(sK0,$uminus(12.05)) )
& ( 16.05 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $real] :
( ( 4.0 = $sum(X0,$uminus(12.05)) )
& ( 16.05 != X0 ) )
=> ( ( 4.0 = $sum(sK0,$uminus(12.05)) )
& ( 16.05 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $real] :
( ( 4.0 = $sum(X0,$uminus(12.05)) )
& ( 16.05 != X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real] :
( ( 4.0 = $sum(X0,$uminus(12.05)) )
=> ( 16.05 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $difference(X0,12.05) = 4.0 )
=> ( 16.05 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $difference(X0,12.05) = 4.0 )
=> ( 16.05 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_difference_problem_7) ).
tff(f5,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f18,plain,
16.05 != sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI431=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:50:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (28413)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)
% 0.19/0.48 % (28406)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 (3000ds/34Mi)
% 0.19/0.49 % (28428)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50 % (28418)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.50 % (28418)Refutation not found, incomplete strategy% (28418)------------------------------
% 0.19/0.50 % (28418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28420)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 (3000ds/2Mi)
% 0.19/0.51 % (28417)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 (3000ds/2Mi)
% 0.19/0.51 % (28417)Instruction limit reached!
% 0.19/0.51 % (28417)------------------------------
% 0.19/0.51 % (28417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28417)Termination reason: Unknown
% 0.19/0.51 % (28417)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (28417)Memory used [KB]: 895
% 0.19/0.51 % (28417)Time elapsed: 0.002 s
% 0.19/0.51 % (28417)Instructions burned: 2 (million)
% 0.19/0.51 % (28417)------------------------------
% 0.19/0.51 % (28417)------------------------------
% 0.19/0.51 % (28419)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)
% 0.19/0.51 % (28419)First to succeed.
% 0.19/0.51 % (28418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28418)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (28418)Memory used [KB]: 5373
% 0.19/0.51 % (28418)Time elapsed: 0.111 s
% 0.19/0.51 % (28418)Instructions burned: 2 (million)
% 0.19/0.51 % (28418)------------------------------
% 0.19/0.51 % (28418)------------------------------
% 0.19/0.51 % (28419)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 % (28419)------------------------------
% 0.19/0.51 % (28419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28419)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (28419)Memory used [KB]: 5500
% 0.19/0.51 % (28419)Time elapsed: 0.085 s
% 0.19/0.51 % (28419)Instructions burned: 2 (million)
% 0.19/0.51 % (28419)------------------------------
% 0.19/0.51 % (28419)------------------------------
% 0.19/0.51 % (28404)Success in time 0.167 s
%------------------------------------------------------------------------------