TSTP Solution File: ARI410_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI410_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_sat --cores 0 -t %d %s
% Computer : n025.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 15:48:11 EDT 2022
% Result : Theorem 1.34s 0.53s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 62 ( 0 atm; 21 fun; 31 num; 10 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 : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real ).
tff(f99,plain,
$false,
inference(subsumption_resolution,[],[f95,f17]) ).
tff(f17,plain,
4.25 != sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 10.0 = $sum(sK0,5.75) )
& ( 4.25 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $real] :
( ( $sum(X0,5.75) = 10.0 )
& ( 4.25 != X0 ) )
=> ( ( 10.0 = $sum(sK0,5.75) )
& ( 4.25 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $real] :
( ( $sum(X0,5.75) = 10.0 )
& ( 4.25 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $sum(X0,5.75) = 10.0 )
=> ( 4.25 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $sum(X0,5.75) = 10.0 )
=> ( 4.25 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_sum_problem_10) ).
tff(f95,plain,
4.25 = sK0,
inference(superposition,[],[f5,f88]) ).
tff(f88,plain,
4.25 = $sum(sK0,0.0),
inference(evaluation,[],[f84]) ).
tff(f84,plain,
$sum(sK0,0.0) = $sum(10.0,$uminus(5.75)),
inference(superposition,[],[f67,f7]) ).
tff(f7,plain,
! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f67,plain,
! [X19: $real] : ( $sum(sK0,$sum(5.75,X19)) = $sum(10.0,X19) ),
inference(superposition,[],[f4,f18]) ).
tff(f18,plain,
10.0 = $sum(sK0,5.75),
inference(cnf_transformation,[],[f16]) ).
tff(f4,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f5,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI410=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:47:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (10822)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49 % (10829)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.50 % (10837)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.34/0.52 % (10829)First to succeed.
% 1.34/0.52 % (10812)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.34/0.52 % (10819)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.34/0.52 % (10811)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 1.34/0.52 % (10813)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.34/0.52 % (10831)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 1.34/0.52 % (10814)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 1.34/0.52 % (10810)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.34/0.52 % (10820)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.34/0.52 % (10809)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 1.34/0.52 % (10809)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.34/0.52 % (10809)Terminated due to inappropriate strategy.
% 1.34/0.52 % (10809)------------------------------
% 1.34/0.52 % (10809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (10809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (10809)Termination reason: Inappropriate
% 1.34/0.52
% 1.34/0.52 % (10809)Memory used [KB]: 895
% 1.34/0.52 % (10809)Time elapsed: 0.002 s
% 1.34/0.52 % (10809)------------------------------
% 1.34/0.52 % (10809)------------------------------
% 1.34/0.52 % (10821)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.34/0.52 % (10823)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.34/0.52 % (10818)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.34/0.53 % (10829)Refutation found. Thanks to Tanya!
% 1.34/0.53 % SZS status Theorem for theBenchmark
% 1.34/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.53 % (10829)------------------------------
% 1.34/0.53 % (10829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (10829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (10829)Termination reason: Refutation
% 1.34/0.53
% 1.34/0.53 % (10829)Memory used [KB]: 5500
% 1.34/0.53 % (10829)Time elapsed: 0.130 s
% 1.34/0.53 % (10829)Instructions burned: 5 (million)
% 1.34/0.53 % (10829)------------------------------
% 1.34/0.53 % (10829)------------------------------
% 1.34/0.53 % (10808)Success in time 0.185 s
%------------------------------------------------------------------------------