TSTP Solution File: ARI411_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI411_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 : n021.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 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 17 unt; 2 typ; 0 def)
% Number of atoms : 29 ( 28 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 : 4 ( 1 avg)
% Number arithmetic : 88 ( 0 atm; 34 fun; 36 num; 18 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 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 16 !; 2 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real ).
tff(func_def_8,type,
sF1: $real ).
tff(f234,plain,
$false,
inference(subsumption_resolution,[],[f233,f17]) ).
tff(f17,plain,
5.75 != sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 10.0 = $sum(4.25,sK0) )
& ( 5.75 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $real] :
( ( $sum(4.25,X0) = 10.0 )
& ( 5.75 != X0 ) )
=> ( ( 10.0 = $sum(4.25,sK0) )
& ( 5.75 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $real] :
( ( $sum(4.25,X0) = 10.0 )
& ( 5.75 != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $sum(4.25,X0) = 10.0 )
=> ( 5.75 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $sum(4.25,X0) = 10.0 )
=> ( 5.75 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_sum_problem_11) ).
tff(f233,plain,
5.75 = sK0,
inference(evaluation,[],[f217]) ).
tff(f217,plain,
sK0 = $sum(10.0,$uminus(4.25)),
inference(superposition,[],[f187,f182]) ).
tff(f182,plain,
! [X2: $real,X3: $real] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f161,f32]) ).
tff(f32,plain,
! [X0: $real] : ( $sum(0.0,X0) = X0 ),
inference(superposition,[],[f5,f3]) ).
tff(f3,plain,
! [X0: $real,X1: $real] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f5,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f161,plain,
! [X2: $real,X3: $real] : ( $sum(0.0,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
introduced(theory_axiom_145,[]) ).
tff(f4,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f187,plain,
! [X1: $real] : ( $sum(4.25,$sum(X1,sK0)) = $sum(10.0,X1) ),
inference(superposition,[],[f164,f3]) ).
tff(f164,plain,
! [X10: $real] : ( $sum(10.0,X10) = $sum(4.25,$sum(sK0,X10)) ),
inference(superposition,[],[f4,f21]) ).
tff(f21,plain,
10.0 = $sum(4.25,sK0),
inference(backward_demodulation,[],[f19,f20]) ).
tff(f20,plain,
10.0 = sF1,
inference(definition_folding,[],[f18,f19]) ).
tff(f18,plain,
10.0 = $sum(4.25,sK0),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
sF1 = $sum(4.25,sK0),
introduced(function_definition,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ARI411=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.12 % 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 : n021.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 15:34:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (27559)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)
% 0.19/0.49 % (27575)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50 % (27571)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.50 % (27559)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (27559)Terminated due to inappropriate strategy.
% 0.19/0.50 % (27559)------------------------------
% 0.19/0.50 % (27559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (27559)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (27559)Memory used [KB]: 895
% 0.19/0.50 % (27559)Time elapsed: 0.003 s
% 0.19/0.50 % (27559)Instructions burned: 2 (million)
% 0.19/0.50 % (27559)------------------------------
% 0.19/0.50 % (27559)------------------------------
% 0.19/0.50 % (27566)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.50 % (27567)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50 % (27567)Instruction limit reached!
% 0.19/0.50 % (27567)------------------------------
% 0.19/0.50 % (27567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (27567)Termination reason: Unknown
% 0.19/0.50 % (27567)Termination phase: Preprocessing 3
% 0.19/0.50
% 0.19/0.50 % (27567)Memory used [KB]: 895
% 0.19/0.50 % (27567)Time elapsed: 0.003 s
% 0.19/0.50 % (27567)Instructions burned: 2 (million)
% 0.19/0.50 % (27567)------------------------------
% 0.19/0.50 % (27567)------------------------------
% 0.19/0.51 % (27566)Instruction limit reached!
% 0.19/0.51 % (27566)------------------------------
% 0.19/0.51 % (27566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27582)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.51 % (27566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27566)Termination reason: Unknown
% 0.19/0.51 % (27566)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (27566)Memory used [KB]: 5500
% 0.19/0.51 % (27566)Time elapsed: 0.105 s
% 0.19/0.51 % (27566)Instructions burned: 7 (million)
% 0.19/0.51 % (27566)------------------------------
% 0.19/0.51 % (27566)------------------------------
% 0.19/0.51 % (27574)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.19/0.51 % (27569)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52 % (27563)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (27581)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)
% 0.19/0.52 % (27561)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)
% 0.19/0.52 % (27564)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)
% 0.19/0.52 % (27570)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)
% 0.19/0.52 % (27568)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)
% 0.19/0.52 % (27572)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52 % (27560)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)
% 0.19/0.52 % (27573)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)
% 0.19/0.53 % (27574)First to succeed.
% 0.19/0.53 % (27565)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53 % (27565)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.53 % (27565)Terminated due to inappropriate strategy.
% 0.19/0.53 % (27565)------------------------------
% 0.19/0.53 % (27565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (27565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (27565)Termination reason: Inappropriate
% 0.19/0.53
% 0.19/0.53 % (27565)Memory used [KB]: 895
% 0.19/0.53 % (27565)Time elapsed: 0.003 s
% 0.19/0.53 % (27565)Instructions burned: 1 (million)
% 0.19/0.53 % (27565)------------------------------
% 0.19/0.53 % (27565)------------------------------
% 0.19/0.53 % (27587)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.53 % (27583)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.53 % (27585)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)
% 0.19/0.53 % (27574)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (27574)------------------------------
% 0.19/0.53 % (27574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (27574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (27574)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (27574)Memory used [KB]: 1023
% 0.19/0.53 % (27574)Time elapsed: 0.125 s
% 0.19/0.53 % (27574)Instructions burned: 11 (million)
% 0.19/0.53 % (27574)------------------------------
% 0.19/0.53 % (27574)------------------------------
% 0.19/0.53 % (27558)Success in time 0.188 s
%------------------------------------------------------------------------------