TSTP Solution File: NUM902_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM902_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 : n016.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 18:07:09 EDT 2022
% Result : Theorem 1.31s 0.52s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 14 unt; 2 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 69 ( 0 atm; 35 fun; 14 num; 20 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 : 6 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 16 !; 4 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $rat ).
tff(func_def_6,type,
sK1: $rat ).
tff(f151,plain,
$false,
inference(trivial_inequality_removal,[],[f150]) ).
tff(f150,plain,
sK0 != sK0,
inference(superposition,[],[f18,f129]) ).
tff(f129,plain,
sK0 = sK1,
inference(forward_demodulation,[],[f128,f6]) ).
tff(f6,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f128,plain,
$sum(sK0,0/1) = sK1,
inference(evaluation,[],[f122]) ).
tff(f122,plain,
$sum(sK0,0/1) = $uminus($uminus(sK1)),
inference(superposition,[],[f89,f8]) ).
tff(f8,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f89,plain,
! [X19: $rat] : ( $sum(sK0,$sum($uminus(sK1),X19)) = X19 ),
inference(forward_demodulation,[],[f76,f21]) ).
tff(f21,plain,
! [X0: $rat] : ( $sum(0/1,X0) = X0 ),
inference(superposition,[],[f4,f6]) ).
tff(f4,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f76,plain,
! [X19: $rat] : ( $sum(sK0,$sum($uminus(sK1),X19)) = $sum(0/1,X19) ),
inference(superposition,[],[f5,f19]) ).
tff(f19,plain,
0/1 = $sum(sK0,$uminus(sK1)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 0/1 = $sum(sK0,$uminus(sK1)) )
& ( sK0 != sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat,X1: $rat] :
( ( 0/1 = $sum(X0,$uminus(X1)) )
& ( X0 != X1 ) )
=> ( ( 0/1 = $sum(sK0,$uminus(sK1)) )
& ( sK0 != sK1 ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat,X1: $rat] :
( ( 0/1 = $sum(X0,$uminus(X1)) )
& ( X0 != X1 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat,X1: $rat] :
( ( 0/1 = $sum(X0,$uminus(X1)) )
=> ( X0 = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat,X1: $rat] :
( ( $difference(X0,X1) = 0/1 )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat,X1: $rat] :
( ( $difference(X0,X1) = 0/1 )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_13) ).
tff(f5,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f18,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM902=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_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 09:37:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (27471)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.50 % (27451)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)
% 0.19/0.50 % (27457)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)
% 0.19/0.50 % (27456)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.51 % (27458)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.51 % (27459)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.51 % (27456)First to succeed.
% 1.31/0.51 % (27463)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.31/0.52 % (27453)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.31/0.52 % (27449)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)
% 1.31/0.52 % (27468)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)
% 1.31/0.52 % (27447)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)
% 1.31/0.52 % (27464)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.31/0.52 % (27453)Instruction limit reached!
% 1.31/0.52 % (27453)------------------------------
% 1.31/0.52 % (27453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (27446)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)
% 1.31/0.52 % (27446)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.31/0.52 % (27446)Terminated due to inappropriate strategy.
% 1.31/0.52 % (27446)------------------------------
% 1.31/0.52 % (27446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (27446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (27446)Termination reason: Inappropriate
% 1.31/0.52
% 1.31/0.52 % (27446)Memory used [KB]: 895
% 1.31/0.52 % (27446)Time elapsed: 0.005 s
% 1.31/0.52 % (27446)Instructions burned: 2 (million)
% 1.31/0.52 % (27446)------------------------------
% 1.31/0.52 % (27446)------------------------------
% 1.31/0.52 % (27453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (27453)Termination reason: Unknown
% 1.31/0.52 % (27453)Termination phase: Saturation
% 1.31/0.52
% 1.31/0.52 % (27453)Memory used [KB]: 5500
% 1.31/0.52 % (27453)Time elapsed: 0.119 s
% 1.31/0.52 % (27453)Instructions burned: 7 (million)
% 1.31/0.52 % (27456)Refutation found. Thanks to Tanya!
% 1.31/0.52 % SZS status Theorem for theBenchmark
% 1.31/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.52 % (27456)------------------------------
% 1.31/0.52 % (27456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (27456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (27456)Termination reason: Refutation
% 1.31/0.52
% 1.31/0.52 % (27456)Memory used [KB]: 5500
% 1.31/0.52 % (27456)Time elapsed: 0.106 s
% 1.31/0.52 % (27456)Instructions burned: 8 (million)
% 1.31/0.52 % (27456)------------------------------
% 1.31/0.52 % (27456)------------------------------
% 1.31/0.52 % (27445)Success in time 0.176 s
% 1.31/0.52 % (27465)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
%------------------------------------------------------------------------------