TSTP Solution File: NUM918_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM918_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 : n002.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 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 20 unt; 3 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 81 ( 0 atm; 38 fun; 4 num; 39 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 : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 29 !; 10 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sF2: $int ).
tff(f231,plain,
$false,
inference(equality_resolution,[],[f204]) ).
tff(f204,plain,
! [X15: $int] : ( sK1 != X15 ),
inference(superposition,[],[f47,f164]) ).
tff(f164,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f140,f42]) ).
tff(f42,plain,
! [X1: $int] : ( $sum(0,X1) = X1 ),
inference(superposition,[],[f6,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f140,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_145,[]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f47,plain,
! [X2: $int] : ( sK1 != $sum(sF2,X2) ),
inference(superposition,[],[f23,f4]) ).
tff(f23,plain,
! [X2: $int] : ( sK1 != $sum(X2,sF2) ),
inference(definition_folding,[],[f21,f22]) ).
tff(f22,plain,
sF2 = $uminus(sK0),
introduced(function_definition,[]) ).
tff(f21,plain,
! [X2: $int] : ( sK1 != $sum(X2,$uminus(sK0)) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X2: $int] : ( sK1 != $sum(X2,$uminus(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,$uminus(X0)) != X1 )
=> ! [X2: $int] : ( sK1 != $sum(X2,$uminus(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,$uminus(X0)) != X1 ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X1: $int,X0: $int] :
! [X2: $int] : ( $sum(X2,$uminus(X1)) != X0 ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X2,$uminus(X1)) = X0 ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $sum(X2,$uminus(X0)) = X1 ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
? [X2: $int] : ( $difference(X2,X0) = X1 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
? [X2: $int] : ( $difference(X2,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM918=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % 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 : n002.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 09:28:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.50 % (23114)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)
% 0.21/0.50 % (23122)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)
% 0.21/0.50 % (23106)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.52 % (23110)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)
% 0.21/0.52 % (23114)First to succeed.
% 0.21/0.52 % (23101)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)
% 0.21/0.52 % (23106)Instruction limit reached!
% 0.21/0.52 % (23106)------------------------------
% 0.21/0.52 % (23106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (23106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (23106)Termination reason: Unknown
% 0.21/0.52 % (23106)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (23106)Memory used [KB]: 5500
% 0.21/0.52 % (23106)Time elapsed: 0.132 s
% 0.21/0.52 % (23106)Instructions burned: 7 (million)
% 0.21/0.52 % (23102)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)
% 0.21/0.52 % (23106)------------------------------
% 0.21/0.52 % (23106)------------------------------
% 0.21/0.52 % (23104)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)
% 0.21/0.52 % (23113)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)
% 0.21/0.52 % (23114)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (23114)------------------------------
% 0.21/0.52 % (23114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (23114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (23114)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (23114)Memory used [KB]: 1151
% 0.21/0.52 % (23114)Time elapsed: 0.126 s
% 0.21/0.52 % (23114)Instructions burned: 11 (million)
% 0.21/0.52 % (23114)------------------------------
% 0.21/0.52 % (23114)------------------------------
% 0.21/0.52 % (23098)Success in time 0.172 s
%------------------------------------------------------------------------------