TSTP Solution File: NUM895_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM895_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 : n006.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 18:07:08 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 17 unt; 6 typ; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 0 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 99 ( 0 atm; 59 fun; 5 num; 35 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 26 !; 9 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sK2: $int ).
tff(pred_def_2,type,
sQ3_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_3,type,
sQ4_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_4,type,
sQ5_eqProxy: ( $real * $real ) > $o ).
tff(f142,plain,
$false,
inference(subsumption_resolution,[],[f141,f24]) ).
tff(f24,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
inference(literal_reordering,[],[f6]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f141,plain,
$sum(sK0,0) != sK0,
inference(forward_demodulation,[],[f132,f27]) ).
tff(f27,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
inference(literal_reordering,[],[f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f132,plain,
$sum(sK0,$sum(sK1,$uminus(sK1))) != sK0,
inference(superposition,[],[f74,f23]) ).
tff(f23,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
inference(literal_reordering,[],[f5]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f74,plain,
$sum($sum(sK0,sK1),$uminus(sK1)) != sK0,
inference(backward_demodulation,[],[f70,f33]) ).
tff(f33,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
inference(literal_reordering,[],[f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f70,plain,
$sum($sum(sK1,sK0),$uminus(sK1)) != sK0,
inference(forward_demodulation,[],[f35,f28]) ).
tff(f28,plain,
sK2 = $sum(sK1,sK0),
inference(literal_reordering,[],[f21]) ).
tff(f21,plain,
sK2 = $sum(sK1,sK0),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( $sum(sK2,$uminus(sK1)) != sK0 )
& ( sK2 = $sum(sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,$uminus(X1)) != X0 )
& ( $sum(X1,X0) = X2 ) )
=> ( ( $sum(sK2,$uminus(sK1)) != sK0 )
& ( sK2 = $sum(sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,$uminus(X1)) != X0 )
& ( $sum(X1,X0) = X2 ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X2: $int,X1: $int,X0: $int] :
( ( $sum(X0,$uminus(X1)) != X2 )
& ( $sum(X1,X2) = X0 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X1,X2) = X0 )
=> ( $sum(X0,$uminus(X1)) = X2 ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $sum(X2,$uminus(X0)) = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X2: $int,X0: $int,X1: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_difference) ).
tff(f35,plain,
$sum(sK2,$uminus(sK1)) != sK0,
inference(literal_reordering,[],[f22]) ).
tff(f22,plain,
$sum(sK2,$uminus(sK1)) != sK0,
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM895=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.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 : Tue Aug 30 09:11:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (14178)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)
% 0.20/0.50 % (14193)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)
% 0.20/0.50 % (14189)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)
% 0.20/0.50 % (14185)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50 % (14181)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)
% 0.20/0.51 % (14179)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.51 % (14173)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)
% 0.20/0.51 % (14173)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51 % (14173)Terminated due to inappropriate strategy.
% 0.20/0.51 % (14173)------------------------------
% 0.20/0.51 % (14173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14173)Termination reason: Inappropriate
% 0.20/0.51
% 0.20/0.51 % (14173)Memory used [KB]: 895
% 0.20/0.51 % (14173)Time elapsed: 0.003 s
% 0.20/0.51 % (14173)Instructions burned: 1 (million)
% 0.20/0.51 % (14173)------------------------------
% 0.20/0.51 % (14173)------------------------------
% 0.20/0.52 % (14193)First to succeed.
% 0.20/0.52 % (14169)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)
% 0.20/0.52 % (14171)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53 % (14193)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (14193)------------------------------
% 0.20/0.53 % (14193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14193)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (14193)Memory used [KB]: 5756
% 0.20/0.53 % (14193)Time elapsed: 0.009 s
% 0.20/0.53 % (14193)Instructions burned: 7 (million)
% 0.20/0.53 % (14193)------------------------------
% 0.20/0.53 % (14193)------------------------------
% 0.20/0.53 % (14166)Success in time 0.177 s
%------------------------------------------------------------------------------