TSTP Solution File: NUM916_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM916_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 : n005.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 18:07:11 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 21 unt; 5 typ; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 82 ( 0 atm; 36 fun; 6 num; 40 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 : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 33 !; 7 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(pred_def_2,type,
sQ2_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_3,type,
sQ3_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_4,type,
sQ4_eqProxy: ( $real * $real ) > $o ).
tff(f267,plain,
$false,
inference(equality_resolution,[],[f222]) ).
tff(f222,plain,
! [X18: $int] : ( sK0 != X18 ),
inference(superposition,[],[f70,f204]) ).
tff(f204,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f103,f67]) ).
tff(f67,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f30,f25]) ).
tff(f25,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
inference(literal_reordering,[],[f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f30,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
inference(literal_reordering,[],[f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f103,plain,
! [X2: $int,X3: $int] : ( $sum(0,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
inference(superposition,[],[f31,f24]) ).
tff(f24,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
inference(literal_reordering,[],[f7]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f31,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
inference(literal_reordering,[],[f4]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f70,plain,
! [X2: $int] : ( $sum(sK1,X2) != sK0 ),
inference(superposition,[],[f23,f30]) ).
tff(f23,plain,
! [X2: $int] : ( $sum(X2,sK1) != sK0 ),
inference(literal_reordering,[],[f19]) ).
tff(f19,plain,
! [X2: $int] : ( $sum(X2,sK1) != sK0 ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X2: $int] : ( $sum(X2,sK1) != sK0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,X1) != X0 )
=> ! [X2: $int] : ( $sum(X2,sK1) != sK0 ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,X1) != X0 ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X2,X1) = X0 ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X2,X0) = X1 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X2,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM916=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % 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 : n005.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 09:15:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.53 % (8713)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)
% 0.21/0.53 % (8709)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)
% 0.21/0.53 % (8721)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)
% 0.21/0.55 % (8713)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.55 % (8713)Terminated due to inappropriate strategy.
% 0.21/0.55 % (8713)------------------------------
% 0.21/0.55 % (8713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (8713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (8713)Termination reason: Inappropriate
% 0.21/0.55
% 0.21/0.55 % (8713)Memory used [KB]: 895
% 0.21/0.55 % (8713)Time elapsed: 0.004 s
% 0.21/0.55 % (8713)Instructions burned: 2 (million)
% 0.21/0.55 % (8713)------------------------------
% 0.21/0.55 % (8713)------------------------------
% 0.21/0.55 % (8730)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)
% 0.21/0.55 % (8721)First to succeed.
% 0.21/0.55 % (8710)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)
% 0.21/0.55 % (8721)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (8721)------------------------------
% 0.21/0.55 % (8721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (8721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (8721)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (8721)Memory used [KB]: 5884
% 0.21/0.55 % (8721)Time elapsed: 0.015 s
% 0.21/0.55 % (8721)Instructions burned: 13 (million)
% 0.21/0.55 % (8721)------------------------------
% 0.21/0.55 % (8721)------------------------------
% 0.21/0.55 % (8706)Success in time 0.201 s
%------------------------------------------------------------------------------