TSTP Solution File: NUM914_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM914_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 : 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 18:02:51 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 20 ~; 16 |; 11 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 146 ( 0 atm; 91 fun; 6 num; 49 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 : 4 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 49 ( 37 !; 12 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
tff(f179,plain,
$false,
inference(subsumption_resolution,[],[f178,f59]) ).
tff(f59,plain,
! [X0: $real,X1: $real] : ( X0 = X1 ),
inference(superposition,[],[f58,f58]) ).
tff(f58,plain,
! [X10: $real] : ( 0.0 = X10 ),
inference(duplicate_literal_removal,[],[f44]) ).
tff(f44,plain,
! [X10: $real] :
( ( 0.0 = X10 )
| ( 0.0 = X10 ) ),
inference(superposition,[],[f26,f6]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f26,plain,
! [X0: $real,X1: $real] :
( ( $sum(X1,X0) = X0 )
| ( 0.0 = X1 ) ),
inference(superposition,[],[f20,f8]) ).
tff(f8,plain,
! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
introduced(theory_axiom_145,[]) ).
tff(f20,plain,
! [X2: $real,X0: $real,X1: $real] :
( ( $sum(X2,$uminus(X1)) = X0 )
| ( $sum(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: $real,X1: $real,X2: $real] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( ( $sum(X0,$uminus(X2)) != X1 )
| ( $sum(X0,$uminus(X1)) != X2 )
| ( $sum(X2,X1) != X0 ) )
& ( ( ( $sum(X0,$uminus(X2)) = X1 )
& ( $sum(X0,$uminus(X1)) = X2 ) )
| ( $sum(X2,X1) = X0 ) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( ( $sum(X0,$uminus(X2)) != X1 )
| ( $sum(X0,$uminus(X1)) != X2 )
| ( $sum(X2,X1) != X0 ) )
& ( ( ( $sum(X0,$uminus(X2)) = X1 )
& ( $sum(X0,$uminus(X1)) = X2 ) )
| ( $sum(X2,X1) = X0 ) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( $sum(X2,X1) = X0 )
<~> ( ( $sum(X0,$uminus(X2)) = X1 )
& ( $sum(X0,$uminus(X1)) = X2 ) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ? [X1: $real,X2: $real,X0: $real] :
( ( $sum(X2,X1) = X0 )
<=> ( ( $sum(X0,$uminus(X2)) = X1 )
& ( $sum(X0,$uminus(X1)) = X2 ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ? [X2: $real,X1: $real,X0: $real] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X2: $real,X1: $real,X0: $real] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X2: $real,X1: $real,X0: $real] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_2) ).
tff(f178,plain,
! [X14: $real,X12: $real,X13: $real] : ( $sum(X12,$sum(X13,$uminus($sum($sum(X12,X13),$uminus(X14))))) != X14 ),
inference(subsumption_resolution,[],[f172,f59]) ).
tff(f172,plain,
! [X14: $real,X12: $real,X13: $real] :
( ( $sum(X14,$sum($sum(X12,X13),$uminus(X14))) != $sum(X12,X13) )
| ( $sum(X12,$sum(X13,$uminus($sum($sum(X12,X13),$uminus(X14))))) != X14 ) ),
inference(superposition,[],[f23,f5]) ).
tff(f5,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f23,plain,
! [X2: $real,X0: $real] :
( ( $sum(X2,$uminus($sum(X2,$uminus(X0)))) != X0 )
| ( $sum(X0,$sum(X2,$uminus(X0))) != X2 ) ),
inference(equality_resolution,[],[f22]) ).
tff(f22,plain,
! [X2: $real,X0: $real,X1: $real] :
( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM914=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.12 % 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 : n021.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 : Tue Aug 30 09:11:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (10040)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)
% 0.19/0.50 % (10056)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/47Mi)
% 0.19/0.50 % (10048)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50 % (10048)Instruction limit reached!
% 0.19/0.50 % (10048)------------------------------
% 0.19/0.50 % (10048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (10048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (10048)Termination reason: Unknown
% 0.19/0.50 % (10048)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (10048)Memory used [KB]: 5373
% 0.19/0.50 % (10048)Time elapsed: 0.004 s
% 0.19/0.50 % (10048)Instructions burned: 2 (million)
% 0.19/0.50 % (10048)------------------------------
% 0.19/0.50 % (10048)------------------------------
% 0.19/0.50 % (10039)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.19/0.50 % (10034)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.19/0.51 % (10039)First to succeed.
% 0.19/0.51 % (10032)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.19/0.51 % (10057)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/42Mi)
% 0.19/0.51 % (10058)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.19/0.51 % (10054)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)
% 0.19/0.52 % (10033)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)
% 0.19/0.52 % (10035)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.52 % (10050)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.19/0.52 % (10038)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)
% 0.19/0.52 % (10060)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.52 % (10040)Instruction limit reached!
% 0.19/0.52 % (10040)------------------------------
% 0.19/0.52 % (10040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10040)Termination reason: Unknown
% 0.19/0.52 % (10040)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (10040)Memory used [KB]: 5628
% 0.19/0.52 % (10040)Time elapsed: 0.129 s
% 0.19/0.52 % (10040)Instructions burned: 26 (million)
% 0.19/0.52 % (10040)------------------------------
% 0.19/0.52 % (10040)------------------------------
% 0.19/0.52 % (10039)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (10039)------------------------------
% 0.19/0.52 % (10039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10039)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (10039)Memory used [KB]: 5500
% 0.19/0.52 % (10039)Time elapsed: 0.120 s
% 0.19/0.52 % (10039)Instructions burned: 6 (million)
% 0.19/0.52 % (10039)------------------------------
% 0.19/0.52 % (10039)------------------------------
% 0.19/0.52 % (10031)Success in time 0.178 s
%------------------------------------------------------------------------------